Executive Secretary Exam Quiz!

1. Frank is taller than John. Ralph is taller than Frank. Therefore, John is the shortest boy.

True

False

Based on the given information, it can be inferred that if Frank is taller than John and Ralph is taller than Frank, then John must be the shortest boy among the three. This is because the information establishes a clear hierarchy of heights, with Ralph being the tallest, Frank being taller than John, and therefore John being the shortest. Hence, the answer is true.

Explanation

Based on the given information, it can be inferred that if Frank is taller than John and Ralph is taller than Frank, then John must be the shortest boy among the three. This is because the information establishes a clear hierarchy of heights, with Ralph being the tallest, Frank being taller than John, and therefore John being the shortest. Hence, the answer is true.

2. The numbers, 3-7-2-4-8-1-5, are read backward as 5-1-8-4-2-7-3.

True

False

The given statement is true because the numbers 3-7-2-4-8-1-5 are indeed read backward as 5-1-8-4-2-7-3.

Explanation

The given statement is true because the numbers 3-7-2-4-8-1-5 are indeed read backward as 5-1-8-4-2-7-3.

3. Frank is taller than John. Ralph is taller than Frank. Therefore, John is the shortest boy.

True

False

The given statement establishes a comparison between the heights of Frank, John, and Ralph. It states that Frank is taller than John and Ralph is taller than Frank. Based on this information, it can be inferred that John is shorter than both Frank and Ralph, making him the shortest boy. Therefore, the answer is true.

Explanation

The given statement establishes a comparison between the heights of Frank, John, and Ralph. It states that Frank is taller than John and Ralph is taller than Frank. Based on this information, it can be inferred that John is shorter than both Frank and Ralph, making him the shortest boy. Therefore, the answer is true.

4. Nine chickens, two dogs, and three cats have a total of forty legs.

True

False

The statement is false because chickens have two legs, dogs have four legs, and cats have four legs. If there are nine chickens, two dogs, and three cats, the total number of legs would be (9 x 2) + (2 x 4) + (3 x 4) = 18 + 8 + 12 = 38. Therefore, the total number of legs is not forty, making the statement false.

Explanation

The statement is false because chickens have two legs, dogs have four legs, and cats have four legs. If there are nine chickens, two dogs, and three cats, the total number of legs would be (9 x 2) + (2 x 4) + (3 x 4) = 18 + 8 + 12 = 38. Therefore, the total number of legs is not forty, making the statement false.

5. What is the hamburger?

A country

A kind of food

A state

Other

Neither of these

The correct answer is "A kind of food" because a hamburger is a type of food that consists of a cooked ground meat patty, typically beef, placed inside a sliced bun. It is commonly served with various toppings such as lettuce, tomato, cheese, and condiments like ketchup or mayonnaise. The hamburger is a popular and widely consumed food item around the world.

Explanation

The correct answer is "A kind of food" because a hamburger is a type of food that consists of a cooked ground meat patty, typically beef, placed inside a sliced bun. It is commonly served with various toppings such as lettuce, tomato, cheese, and condiments like ketchup or mayonnaise. The hamburger is a popular and widely consumed food item around the world.

6. The words, "auctioned, education, and cautioned," all use the exact same letters

True

False

The statement is true because all three words, "auctioned, education, and cautioned," contain the exact same letters. This means that the letters used to spell each word are the same, just rearranged in a different order.

Explanation

The statement is true because all three words, "auctioned, education, and cautioned," contain the exact same letters. This means that the letters used to spell each word are the same, just rearranged in a different order.

7. John weighs 85 pounds. Jeff weighs 105 pounds. Jake weighs 115 pounds. Two of them standing together on the same scale could weigh 200 pounds.

True

False

The combined weight of John and Jeff is 85 + 105 = 190 pounds, which is less than 200 pounds. Therefore, if Jake joins them on the scale, their combined weight will be more than 200 pounds. Hence, the statement is true.

Explanation

The combined weight of John and Jeff is 85 + 105 = 190 pounds, which is less than 200 pounds. Therefore, if Jake joins them on the scale, their combined weight will be more than 200 pounds. Hence, the statement is true.

8. The words, "auctioned, education, and cautioned," all use the exact same letters.

True

False

The statement is true because all three words, "auctioned," "education," and "cautioned," use the exact same letters. This means that each word can be formed by rearranging the letters of the other words.

Explanation

The statement is true because all three words, "auctioned," "education," and "cautioned," use the exact same letters. This means that each word can be formed by rearranging the letters of the other words.

9. Nine chickens, two dogs, and three cats have a total of forty legs.

True

False

The statement is false because chickens have 2 legs each, dogs have 4 legs each, and cats have 4 legs each. If there are 9 chickens, 2 dogs, and 3 cats, the total number of legs would be (9 x 2) + (2 x 4) + (3 x 4) = 18 + 8 + 12 = 38, not 40.

Explanation

The statement is false because chickens have 2 legs each, dogs have 4 legs each, and cats have 4 legs each. If there are 9 chickens, 2 dogs, and 3 cats, the total number of legs would be (9 x 2) + (2 x 4) + (3 x 4) = 18 + 8 + 12 = 38, not 40.

10. The word, "mineral," can be spelled using only the letters found in the word, "parliament."

True

False

The word "mineral" can be spelled using only the letters found in the word "parliament." This means that all the necessary letters for the word "mineral" can be found within the letters of "parliament" without any additional letters needed. Therefore, the statement is true.

Explanation

The word "mineral" can be spelled using only the letters found in the word "parliament." This means that all the necessary letters for the word "mineral" can be found within the letters of "parliament" without any additional letters needed. Therefore, the statement is true.

11. If you leave the letters in the same order, but rearrange the spaces in the phrase, "Them eats on," it can be read as, "Theme at son."

True

False

By rearranging the spaces in the phrase "Them eats on," we can obtain "Theme at son." This rearrangement changes the meaning of the phrase but keeps the letters in the same order. Therefore, the statement is true.

Explanation

By rearranging the spaces in the phrase "Them eats on," we can obtain "Theme at son." This rearrangement changes the meaning of the phrase but keeps the letters in the same order. Therefore, the statement is true.

12. If written backward, the number, "one thousand, one hundred twenty-five," would be written "five thousand, two hundred eleven."

True

False

The given statement suggests that if the number "one thousand, one hundred twenty-five" is written backward, it would be written as "five thousand, two hundred eleven." This statement is true because when we reverse the order of the digits in the original number, we get the reversed number as "five thousand, two hundred eleven."

Explanation

The given statement suggests that if the number "one thousand, one hundred twenty-five" is written backward, it would be written as "five thousand, two hundred eleven." This statement is true because when we reverse the order of the digits in the original number, we get the reversed number as "five thousand, two hundred eleven."

13. If you leave the letters in the same order, but rearrange the spaces in the phrase, "Them eats on," it can be read as, "Theme at son."

True

False

By rearranging the spaces in the phrase "Them eats on," we can form the phrase "Theme at son." This rearrangement allows us to create a new meaning from the original letters, demonstrating that the statement is true.

Explanation

By rearranging the spaces in the phrase "Them eats on," we can form the phrase "Theme at son." This rearrangement allows us to create a new meaning from the original letters, demonstrating that the statement is true.

14. Gary has only forty-eight dollars, but he can buy a bicycle that costs one hundred twenty dollars, (disregarding tax) if he borrows fifty-seven dollars from Jane and fifteen dollars from Jill.

True

False

Gary has only forty-eight dollars, which is not enough to buy a bicycle that costs one hundred twenty dollars. However, if he borrows fifty-seven dollars from Jane and fifteen dollars from Jill, he will have a total of forty-eight dollars plus fifty-seven dollars plus fifteen dollars, which equals one hundred twenty dollars. Therefore, he can buy the bicycle with the borrowed money.

Explanation

Gary has only forty-eight dollars, which is not enough to buy a bicycle that costs one hundred twenty dollars. However, if he borrows fifty-seven dollars from Jane and fifteen dollars from Jill, he will have a total of forty-eight dollars plus fifty-seven dollars plus fifteen dollars, which equals one hundred twenty dollars. Therefore, he can buy the bicycle with the borrowed money.

15. The numbers, 3-7-2-4-8-1-5, are read backward as 5-1-8-4-2-7-3.

True

False

The given statement is true because the numbers 3-7-2-4-8-1-5 are indeed read backward as 5-1-8-4-2-7-3.

Explanation

The given statement is true because the numbers 3-7-2-4-8-1-5 are indeed read backward as 5-1-8-4-2-7-3.

16. This sentence has thirty-five letters.

True

False

The statement "This sentence has thirty-five letters" is false because the sentence actually has thirty-four letters.

Explanation

The statement "This sentence has thirty-five letters" is false because the sentence actually has thirty-four letters.

17. The word, "slackers," is spelled by using the first letters of the words in the following sentence: "Silent large anteaters calmly kiss each roasted snack."

True

False

The word "slackers" is spelled by taking the first letter of each word in the sentence "Silent large anteaters calmly kiss each roasted snack." The first letters of each word in the sentence spell out "slackers," which matches the given word. Therefore, the answer is true.

Explanation

The word "slackers" is spelled by taking the first letter of each word in the sentence "Silent large anteaters calmly kiss each roasted snack." The first letters of each word in the sentence spell out "slackers," which matches the given word. Therefore, the answer is true.

18. This sequence of four words, "triangle, glove, clock, bicycle," corresponds to this sequence of numbers "3, 5, 12, 2."

True

False

The given sequence of words and numbers follow a pattern. Each word has a specific number of letters: "triangle" has 8 letters, "glove" has 5 letters, "clock" has 5 letters, and "bicycle" has 7 letters. The corresponding sequence of numbers follows the same pattern: 8 - 3 = 5, 5 - 3 = 2, and 7 - 5 = 2. Therefore, the given answer "True" is correct as the words and numbers are indeed corresponding to each other in a logical pattern.

Explanation

The given sequence of words and numbers follow a pattern. Each word has a specific number of letters: "triangle" has 8 letters, "glove" has 5 letters, "clock" has 5 letters, and "bicycle" has 7 letters. The corresponding sequence of numbers follows the same pattern: 8 - 3 = 5, 5 - 3 = 2, and 7 - 5 = 2. Therefore, the given answer "True" is correct as the words and numbers are indeed corresponding to each other in a logical pattern.

19. Gary has only forty-eight dollars, but he can buy a bicycle that costs one hundred twenty dollars, (disregarding tax) if he borrows fifty-seven dollars from Jane and fifteen dollars from Jill.

True

False

Gary has only forty-eight dollars, which is not enough to buy a bicycle that costs one hundred twenty dollars. However, if he borrows fifty-seven dollars from Jane and fifteen dollars from Jill, he will have a total of forty-eight dollars (his original money) + fifty-seven dollars (borrowed from Jane) + fifteen dollars (borrowed from Jill) = one hundred twenty dollars. Therefore, the statement is true.

Explanation

Gary has only forty-eight dollars, which is not enough to buy a bicycle that costs one hundred twenty dollars. However, if he borrows fifty-seven dollars from Jane and fifteen dollars from Jill, he will have a total of forty-eight dollars (his original money) + fifty-seven dollars (borrowed from Jane) + fifteen dollars (borrowed from Jill) = one hundred twenty dollars. Therefore, the statement is true.

20. The sum of all the odd numbers from zero to 16 is an even number.

True

False

The sum of all odd numbers from zero to 16 can be calculated by adding all the odd numbers in that range, which are 1, 3, 5, 7, 9, 11, 13, and 15. The sum of these numbers is 64, which is an even number. Therefore, the statement is true.

Explanation

The sum of all odd numbers from zero to 16 can be calculated by adding all the odd numbers in that range, which are 1, 3, 5, 7, 9, 11, 13, and 15. The sum of these numbers is 64, which is an even number. Therefore, the statement is true.

21. Three of the following numbers add up to the number 31: 17, 3, 2, 19, 5.

True

False

The statement is false because there are actually four numbers (17, 3, 2, and 9) that add up to 31, not three. Therefore, the correct answer is false.

Explanation

The statement is false because there are actually four numbers (17, 3, 2, and 9) that add up to 31, not three. Therefore, the correct answer is false.

22. Without breaking or bending a toothpick, you can spell the word, "FIN," with exactly seven toothpicks, with no letter sharing a toothpick used by another letter.

True

False

The statement is true because it is possible to spell the word "FIN" using exactly seven toothpicks without breaking or bending any of them. Each letter can be formed using two toothpicks, and since "FIN" has three letters, it would require a total of six toothpicks. Additionally, no letter shares a toothpick with another letter, meeting the condition stated in the question.

Explanation

The statement is true because it is possible to spell the word "FIN" using exactly seven toothpicks without breaking or bending any of them. Each letter can be formed using two toothpicks, and since "FIN" has three letters, it would require a total of six toothpicks. Additionally, no letter shares a toothpick with another letter, meeting the condition stated in the question.

23. The seventh vowel appearing in this sentence is the letter "a."

True

False

The statement claims that the seventh vowel in the sentence is the letter "a." However, upon counting the vowels in the sentence, it can be observed that the seventh vowel is actually the letter "e." Therefore, the statement is false.

Explanation

The statement claims that the seventh vowel in the sentence is the letter "a." However, upon counting the vowels in the sentence, it can be observed that the seventh vowel is actually the letter "e." Therefore, the statement is false.

24. Without breaking or bending a toothpick, you can spell the word, "FIN," with exactly seven toothpicks, with no letter sharing a toothpick used by another letter.

True

False

It is possible to spell the word "FIN" using exactly seven toothpicks without breaking or bending any of them. Each letter can be formed using two toothpicks, and since there are three letters in the word "FIN," a total of six toothpicks are needed. Additionally, one more toothpick can be used to separate the letters, resulting in a total of seven toothpicks. Therefore, the statement is true.

Explanation

It is possible to spell the word "FIN" using exactly seven toothpicks without breaking or bending any of them. Each letter can be formed using two toothpicks, and since there are three letters in the word "FIN," a total of six toothpicks are needed. Additionally, one more toothpick can be used to separate the letters, resulting in a total of seven toothpicks. Therefore, the statement is true.

25. Which one of the five makes the best comparison? Brother is to sister as niece is to:

Mother

Daughter

Aunt

Uncle

Nephew

The best comparison for the relationship between brother and sister is niece and nephew. A brother and sister are siblings, and a niece and nephew are the children of a sibling. Therefore, the correct answer is nephew.

Explanation

The best comparison for the relationship between brother and sister is niece and nephew. A brother and sister are siblings, and a niece and nephew are the children of a sibling. Therefore, the correct answer is nephew.

26. The seventh vowel appearing in this sentence is the letter "a."

True

False

The seventh vowel appearing in this sentence is not the letter "a."

Explanation

The seventh vowel appearing in this sentence is not the letter "a."

27. By removing seven letters from the word, "motherhood," the word, "home," can be formed.

True

False

The word "motherhood" contains only one "o" and one "e," so it is not possible to form the word "home" by removing seven letters from it. Therefore, the answer is false.

Explanation

The word "motherhood" contains only one "o" and one "e," so it is not possible to form the word "home" by removing seven letters from it. Therefore, the answer is false.

28. In the English alphabet, there are exactly four letters between the letter "M" and the letter "G."

True

False

There are actually seven letters between the letter "M" and the letter "G" in the English alphabet. Starting from "M," the letters in between are "N," "O," "P," "Q," "R," and "S" before reaching "G." Therefore, the statement is false.

Explanation

There are actually seven letters between the letter "M" and the letter "G" in the English alphabet. Starting from "M," the letters in between are "N," "O," "P," "Q," "R," and "S" before reaching "G." Therefore, the statement is false.

29. By removing seven letters from the word, "motherhood," the word, "home," can be formed.

True

False

By removing seven letters from the word "motherhood," we cannot form the word "home." The word "motherhood" has ten letters, and removing seven letters would leave us with only three letters ("m," "o," and "d"). Therefore, it is not possible to form the word "home" by removing seven letters from "motherhood."

Explanation

By removing seven letters from the word "motherhood," we cannot form the word "home." The word "motherhood" has ten letters, and removing seven letters would leave us with only three letters ("m," "o," and "d"). Therefore, it is not possible to form the word "home" by removing seven letters from "motherhood."

30. If a thumb is a finger, then three gloves and three shoes normally hold thirty-five fingers and toes.

True

False

The statement is false because a thumb is not considered a finger. While a thumb is a digit, it is anatomically different from the other four fingers. Therefore, three gloves and three shoes would only hold a total of 33 fingers and toes, not 35.

Explanation

The statement is false because a thumb is not considered a finger. While a thumb is a digit, it is anatomically different from the other four fingers. Therefore, three gloves and three shoes would only hold a total of 33 fingers and toes, not 35.

31. If Monday is the first day of the month, the very next Saturday is the fifth day of the month.

True

False

The statement is false because if Monday is the first day of the month, the very next Saturday would be the sixth day of the month, not the fifth. This is because there are five days between Monday and Saturday (Tuesday, Wednesday, Thursday, Friday, and Saturday). Therefore, the answer is false.

Explanation

The statement is false because if Monday is the first day of the month, the very next Saturday would be the sixth day of the month, not the fifth. This is because there are five days between Monday and Saturday (Tuesday, Wednesday, Thursday, Friday, and Saturday). Therefore, the answer is false.

32. The letters of the word, "sponged," appear in reverse alphabetical order.

True

False

The word "sponged" can be rearranged to spell "edgnops," which is in reverse alphabetical order.

Explanation

The word "sponged" can be rearranged to spell "edgnops," which is in reverse alphabetical order.

33. This sentence has thirty-five letters.

True

False

The statement "This sentence has thirty-five letters" is false because the sentence itself contains more than thirty-five letters.

Explanation

The statement "This sentence has thirty-five letters" is false because the sentence itself contains more than thirty-five letters.

34. John weighs 85 pounds. Jeff weighs 105 pounds. Jake weighs 115 pounds. Two of them standing together on the same scale could weigh 200 pounds.

True

False

The combined weight of John and Jeff is 85 + 105 = 190 pounds. Since the combined weight of any two of them standing on the scale is 200 pounds, it is possible for John and Jeff to weigh 200 pounds together. Therefore, the statement is true.

Explanation

The combined weight of John and Jeff is 85 + 105 = 190 pounds. Since the combined weight of any two of them standing on the scale is 200 pounds, it is possible for John and Jeff to weigh 200 pounds together. Therefore, the statement is true.

35. In the English alphabet, there are exactly four letters between the letter "M" and the letter "G."

True

False

There are actually five letters between the letter "M" and the letter "G" in the English alphabet. Starting from "M", the letters that come before "G" are "N", "O", "P", "Q", and then "R". Therefore, the statement is false.

Explanation

There are actually five letters between the letter "M" and the letter "G" in the English alphabet. Starting from "M", the letters that come before "G" are "N", "O", "P", "Q", and then "R". Therefore, the statement is false.

36. If the word, "TAN," is written under the word, "SLY," and the word, "TOT," is written under "TAN," then the word, "SAT," is formed diagonally.

True

False

If the word "TAN" is written under the word "SLY" and the word "TOT" is written under "TAN," then the word "SAT" is formed diagonally. This means that the letters "S," "A," and "T" are aligned diagonally when the words are stacked on top of each other. Therefore, the statement is true.

Explanation

If the word "TAN" is written under the word "SLY" and the word "TOT" is written under "TAN," then the word "SAT" is formed diagonally. This means that the letters "S," "A," and "T" are aligned diagonally when the words are stacked on top of each other. Therefore, the statement is true.

37. If a thumb is a finger, then three gloves and three shoes normally hold thirty-five fingers and toes.

True

False

The statement is false because a thumb is not considered a finger in anatomical terms. In anatomy, fingers are the four digits apart from the thumb on each hand. Therefore, if a thumb is not classified as a finger, then three gloves and three shoes would only hold twenty-eight fingers and toes, not thirty-five.

Explanation

The statement is false because a thumb is not considered a finger in anatomical terms. In anatomy, fingers are the four digits apart from the thumb on each hand. Therefore, if a thumb is not classified as a finger, then three gloves and three shoes would only hold twenty-eight fingers and toes, not thirty-five.

38. The sum of all the odd numbers from zero to 16 is an even number.

True

False

The sum of all odd numbers from zero to 16 can be calculated by adding all the odd numbers in that range, which are 1, 3, 5, 7, 9, 11, 13, and 15. The sum of these numbers is 64, which is an even number. Therefore, the statement is true.

Explanation

The sum of all odd numbers from zero to 16 can be calculated by adding all the odd numbers in that range, which are 1, 3, 5, 7, 9, 11, 13, and 15. The sum of these numbers is 64, which is an even number. Therefore, the statement is true.

39. Where did the real Boston Tea Party take place?

New york

Boston

Washington dc

Philadelphia

Buffalo

The real Boston Tea Party took place in Boston.

Explanation

The real Boston Tea Party took place in Boston.

40. The number 64 is the next logical number in the following sequence of numbers: 2, 6, 14, 30...

True

False

The sequence starts with 2 and each subsequent number is obtained by multiplying the previous number by 3 and then subtracting 2.
2 * 3 - 2 = 4
4 * 3 - 2 = 10
10 * 3 - 2 = 28
So, the next number in the sequence would be 28. Therefore, the correct answer is False.

Explanation

The sequence starts with 2 and each subsequent number is obtained by multiplying the previous number by 3 and then subtracting 2.
2 * 3 - 2 = 4
4 * 3 - 2 = 10
10 * 3 - 2 = 28
So, the next number in the sequence would be 28. Therefore, the correct answer is False.

41. 27 minutes before 7 o'clock is 33 minutes past 5 o'clock.

True

False

The statement is false because 27 minutes before 7 o'clock would be 6:33, not 33 minutes past 5 o'clock.

Explanation

The statement is false because 27 minutes before 7 o'clock would be 6:33, not 33 minutes past 5 o'clock.

42. A square whose sides each measure ten centimeters can completely fit inside of a regular hexagon whose sides each measure ten centimeters.

True

False

A regular hexagon has six equal sides, each measuring ten centimeters. A square also has four equal sides, each measuring ten centimeters. Since the square's sides are equal to the hexagon's sides, it can fit perfectly inside the hexagon. Therefore, the statement "A square whose sides each measure ten centimeters can completely fit inside of a regular hexagon whose sides each measure ten centimeters" is true.

Explanation

A regular hexagon has six equal sides, each measuring ten centimeters. A square also has four equal sides, each measuring ten centimeters. Since the square's sides are equal to the hexagon's sides, it can fit perfectly inside the hexagon. Therefore, the statement "A square whose sides each measure ten centimeters can completely fit inside of a regular hexagon whose sides each measure ten centimeters" is true.

43. The number 64 is the next logical number in the following sequence of numbers: 2, 6, 14, 30...

True

False

The sequence of numbers is obtained by multiplying the previous number by 3 and then subtracting 2. Starting with 2, the next number would be (2 * 3) - 2 = 4. Then, (4 * 3) - 2 = 10. Continuing this pattern, the next number would be (10 * 3) - 2 = 28. Therefore, the next logical number in the sequence is 28, not 64.

Explanation

The sequence of numbers is obtained by multiplying the previous number by 3 and then subtracting 2. Starting with 2, the next number would be (2 * 3) - 2 = 4. Then, (4 * 3) - 2 = 10. Continuing this pattern, the next number would be (10 * 3) - 2 = 28. Therefore, the next logical number in the sequence is 28, not 64.

44. Which number should come next in this series? 25,24,22,19,15

14

5

30

10

0

The series is decreasing by a different number each time. The first number decreases by 1, the second number decreases by 2, the third number decreases by 3, and the fourth number decreases by 4. Therefore, the next number should decrease by 5, resulting in 15 - 5 = 10.

Explanation

The series is decreasing by a different number each time. The first number decreases by 1, the second number decreases by 2, the third number decreases by 3, and the fourth number decreases by 4. Therefore, the next number should decrease by 5, resulting in 15 - 5 = 10.

45. Choose the word most similar to "Trustworthy":

Resolute

Tenacity

Relevant

Insolent

Reliable

The word "trustworthy" refers to someone or something that can be relied upon or trusted. The word "reliable" has a similar meaning as it also implies dependability and trustworthiness. Therefore, "reliable" is the word most similar to "trustworthy" among the given options.

Explanation

The word "trustworthy" refers to someone or something that can be relied upon or trusted. The word "reliable" has a similar meaning as it also implies dependability and trustworthiness. Therefore, "reliable" is the word most similar to "trustworthy" among the given options.

46. 27 minutes before 7 o'clock is 33 minutes past 5 o'clock.

True

False

The statement is false because 27 minutes before 7 o'clock would be 6:33, not 33 minutes past 5 o'clock.

Explanation

The statement is false because 27 minutes before 7 o'clock would be 6:33, not 33 minutes past 5 o'clock.

47. A square whose sides each measure ten centimeters can completely fit inside of a regular hexagon whose sides each measure ten centimeters.

True

False

A regular hexagon has six equal sides, each measuring ten centimeters. A square with sides measuring ten centimeters can fit inside the hexagon because the length of each side of the square is equal to the length of each side of the hexagon. Therefore, the statement is true.

Explanation

A regular hexagon has six equal sides, each measuring ten centimeters. A square with sides measuring ten centimeters can fit inside the hexagon because the length of each side of the square is equal to the length of each side of the hexagon. Therefore, the statement is true.

48. If Richard looks into a mirror and touches his left ear with his right hand, Richard's image seems to touch its right ear with its left hand.

True

False

When Richard looks into a mirror, his image appears to be reversed horizontally. This means that the left side of his body appears on the right side of his image and vice versa. So, when Richard touches his left ear with his right hand, it appears in the mirror that his image is touching its right ear with its left hand. Therefore, the statement is true.

Explanation

When Richard looks into a mirror, his image appears to be reversed horizontally. This means that the left side of his body appears on the right side of his image and vice versa. So, when Richard touches his left ear with his right hand, it appears in the mirror that his image is touching its right ear with its left hand. Therefore, the statement is true.

49. Three of the following numbers add up to the number 31: 17, 3, 2, 19, 5.

True

False

None of the three given numbers (17, 3, 2, 19, 5) add up to 31. Therefore, the statement that three of the numbers add up to 31 is false.

Explanation

None of the three given numbers (17, 3, 2, 19, 5) add up to 31. Therefore, the statement that three of the numbers add up to 31 is false.

50. Which one of the five makes the best comparison? Milk is to glass as the letter is to:

Stamp

Pen

Envelope

Book

Mail

Milk is commonly served in a glass, so the relationship between milk and glass is that of a container and its contents. Similarly, the relationship between the letter and the envelope is that the letter is typically placed inside the envelope for protection and delivery. This makes envelope the best comparison.

Explanation

Milk is commonly served in a glass, so the relationship between milk and glass is that of a container and its contents. Similarly, the relationship between the letter and the envelope is that the letter is typically placed inside the envelope for protection and delivery. This makes envelope the best comparison.

51. If Monday is the first day of the month, the very next Saturday is the fifth day of the month.

True

False

If Monday is the first day of the month, the very next Saturday would be the sixth day of the month, not the fifth day. Therefore, the statement is false.

Explanation

If Monday is the first day of the month, the very next Saturday would be the sixth day of the month, not the fifth day. Therefore, the statement is false.

52. Which number should come next in the series? 1-1-2-3-5-8-13

8

13

21

26

31

The given series is a Fibonacci sequence, where each number is the sum of the two preceding numbers. The sequence starts with 1 and 1, and each subsequent number is the sum of the two previous numbers. Therefore, the next number in the sequence should be 21, which is obtained by adding 8 and 13.

Explanation

The given series is a Fibonacci sequence, where each number is the sum of the two preceding numbers. The sequence starts with 1 and 1, and each subsequent number is the sum of the two previous numbers. Therefore, the next number in the sequence should be 21, which is obtained by adding 8 and 13.

53. The word "mineral" can be spelled using only the letters found in the word, "parliament."

True

False

The word "mineral" can indeed be spelled using only the letters found in the word "parliament." Both words contain the same letters, including the necessary letters to form "mineral." Therefore, the statement is true.

Explanation

The word "mineral" can indeed be spelled using only the letters found in the word "parliament." Both words contain the same letters, including the necessary letters to form "mineral." Therefore, the statement is true.

54. The letters of the word, "sponged," appear in reverse alphabetical order.

True

False

The word "sponged" consists of the letters S, P, O, N, G, E, and D. When arranged in reverse alphabetical order, the letters appear as S, P, O, N, G, E, D. Therefore, the statement is true.

Explanation

The word "sponged" consists of the letters S, P, O, N, G, E, and D. When arranged in reverse alphabetical order, the letters appear as S, P, O, N, G, E, D. Therefore, the statement is true.

55. The word, "slackers," is spelled by using the first letters of the words in the following sentence: "Silent large anteaters calmly kiss each roasted snack."

True

False

The word "slackers" is spelled using the first letters of the words in the sentence "Silent large anteaters calmly kiss each roasted snack." The first letters of these words form the word "slackers." Therefore, the statement is true.

Explanation

The word "slackers" is spelled using the first letters of the words in the sentence "Silent large anteaters calmly kiss each roasted snack." The first letters of these words form the word "slackers." Therefore, the statement is true.

56. If the word, "TAN," is written under the word, "SLY," and the word, "TOT," is written under "TAN," then the word, "SAT," is formed diagonally.

True

False

The word "SAT" can be formed diagonally by starting with the letter "S" in the word "SLY," moving diagonally to the letter "A" in the word "TAN," and finally moving diagonally to the letter "T" in the word "TOT." Therefore, the statement is true.

Explanation

The word "SAT" can be formed diagonally by starting with the letter "S" in the word "SLY," moving diagonally to the letter "A" in the word "TAN," and finally moving diagonally to the letter "T" in the word "TOT." Therefore, the statement is true.

57. The odd numbers in this group add up to an even number: 15, 32, 5, 13, 82, 7, 1.

True

False

The odd numbers in the group do not add up to an even number. The sum of the odd numbers 15, 5, 13, 7, and 1 is 41, which is an odd number. Therefore, the statement that the odd numbers in this group add up to an even number is false.

Explanation

The odd numbers in the group do not add up to an even number. The sum of the odd numbers 15, 5, 13, 7, and 1 is 41, which is an odd number. Therefore, the statement that the odd numbers in this group add up to an even number is false.

58. If written backward, the number, "one thousand, one hundred twenty-five," would be written "five thousand, two hundred eleven."

True

False

The statement is true because when the number "one thousand, one hundred twenty-five" is written backward, it becomes "five thousand, two hundred eleven."

Explanation

The statement is true because when the number "one thousand, one hundred twenty-five" is written backward, it becomes "five thousand, two hundred eleven."

59. If the word, "quane," is understood to mean the same as the word, "den," then the following sentence is grammatically correct: "Looking out from my quane, I could see a wolf enter quane."

True

False

The sentence is not grammatically correct because it uses the word "quane" twice in the same sentence, which is redundant. If "quane" is understood to mean the same as "den," then the sentence should be written as "Looking out from my quane, I could see a wolf enter den."

Explanation

The sentence is not grammatically correct because it uses the word "quane" twice in the same sentence, which is redundant. If "quane" is understood to mean the same as "den," then the sentence should be written as "Looking out from my quane, I could see a wolf enter den."

60. If Richard looks into a mirror and touches his left ear with his right hand, Richard's image seems to touch its right ear with its left hand.

True

False

When Richard looks into a mirror, his image is reflected as a mirror image. This means that the left side of his body appears on the right side of his image and vice versa. So when Richard touches his left ear with his right hand, his image in the mirror appears to touch its right ear with its left hand. Therefore, the statement is true.

Explanation

When Richard looks into a mirror, his image is reflected as a mirror image. This means that the left side of his body appears on the right side of his image and vice versa. So when Richard touches his left ear with his right hand, his image in the mirror appears to touch its right ear with its left hand. Therefore, the statement is true.

61. Three congruent regular hexagons can be drawn in such a way that all of them overlap each other and create exactly ten distinct areas or compartments.

True

False

It is possible to draw three congruent regular hexagons in a way that they overlap each other and create ten distinct areas or compartments. This can be achieved by arranging the hexagons in a specific pattern where the overlapping areas form separate compartments. Therefore, the statement is true.

Explanation

It is possible to draw three congruent regular hexagons in a way that they overlap each other and create ten distinct areas or compartments. This can be achieved by arranging the hexagons in a specific pattern where the overlapping areas form separate compartments. Therefore, the statement is true.

62. The following words are the opposites of words that begin with the letter R: unreal, street, grasp, unwind, wrong.

True

False

The given statement is false. The words "unreal," "street," "grasp," "unwind," and "wrong" are not opposites of words that begin with the letter R. The statement does not provide any examples or evidence to support this claim. Therefore, the correct answer is false.

Explanation

The given statement is false. The words "unreal," "street," "grasp," "unwind," and "wrong" are not opposites of words that begin with the letter R. The statement does not provide any examples or evidence to support this claim. Therefore, the correct answer is false.

63. The odd numbers in this group add up to an even number: 15, 32, 5, 13, 82, 7, 1.

True

False

The odd numbers in the group do not add up to an even number. The sum of the odd numbers 15, 5, 13, and 7 is 40, which is an even number. Therefore, the correct answer is False.

Explanation

The odd numbers in the group do not add up to an even number. The sum of the odd numbers 15, 5, 13, and 7 is 40, which is an even number. Therefore, the correct answer is False.

64. Fred will be four blocks from his starting place if he travels two blocks north, then three blocks east, and then two blocks south.

True

False

If Fred starts at a certain point and travels two blocks north, he will be two blocks north of his starting place. Then, if he travels three blocks east from there, he will be one block east of his starting place. Finally, if he travels two blocks south from that point, he will be two blocks south of his starting place. Therefore, it is true that Fred will be four blocks from his starting place if he follows this path.

Explanation

If Fred starts at a certain point and travels two blocks north, he will be two blocks north of his starting place. Then, if he travels three blocks east from there, he will be one block east of his starting place. Finally, if he travels two blocks south from that point, he will be two blocks south of his starting place. Therefore, it is true that Fred will be four blocks from his starting place if he follows this path.

65. This sequence of four words, "triangle, glove, clock, bicycle," corresponds to this sequence of numbers "3, 5, 12, 2."

True

False

The sequence of numbers corresponds to the number of sides in each word. A triangle has 3 sides, a glove does not have sides so it is 0, a clock has 12 numbers which can be considered as sides, and a bicycle has 2 wheels which can be considered as sides. Therefore, the sequence of numbers accurately represents the number of sides in each corresponding word.

Explanation

The sequence of numbers corresponds to the number of sides in each word. A triangle has 3 sides, a glove does not have sides so it is 0, a clock has 12 numbers which can be considered as sides, and a bicycle has 2 wheels which can be considered as sides. Therefore, the sequence of numbers accurately represents the number of sides in each corresponding word.

66. Which of the following words is closest in meaning to APPREHENSIVE?

Thorough

Foolish

Anxious

Distraught

Comprehensive

The word "apprehensive" means to feel anxious or worried about something that is going to happen. Therefore, the word "anxious" is the closest in meaning to "apprehensive" as it also refers to feeling worried or uneasy about something. "Thorough" means complete or detailed, "foolish" means lacking good sense or judgment, "distraught" means extremely upset or agitated, and "comprehensive" means covering or including everything. These words do not have the same meaning as "apprehensive."

Explanation

The word "apprehensive" means to feel anxious or worried about something that is going to happen. Therefore, the word "anxious" is the closest in meaning to "apprehensive" as it also refers to feeling worried or uneasy about something. "Thorough" means complete or detailed, "foolish" means lacking good sense or judgment, "distraught" means extremely upset or agitated, and "comprehensive" means covering or including everything. These words do not have the same meaning as "apprehensive."

67. The following words are the opposites of words that begin with the letter R: unreal, street, grasp, unwind, wrong.

True

False

The statement is false because the given words (unreal, street, grasp, unwind, wrong) are not opposites of words that begin with the letter R. The opposites of words that begin with R would be real, retreat, grasp, rewind, right.

Explanation

The statement is false because the given words (unreal, street, grasp, unwind, wrong) are not opposites of words that begin with the letter R. The opposites of words that begin with R would be real, retreat, grasp, rewind, right.

68. Three congruent regular hexagons can be drawn in such a way that all of them overlap each other and create exactly ten distinct areas or compartments.

True

False

It is possible to draw three congruent regular hexagons in a way that they overlap each other and create ten distinct areas or compartments. This can be achieved by arranging the hexagons in a specific pattern where they intersect at certain points, resulting in the formation of ten separate regions. Therefore, the statement is true.

Explanation

It is possible to draw three congruent regular hexagons in a way that they overlap each other and create ten distinct areas or compartments. This can be achieved by arranging the hexagons in a specific pattern where they intersect at certain points, resulting in the formation of ten separate regions. Therefore, the statement is true.

69. If the word, "quane," is understood to mean the same as the word, "den," then the following sentence is grammatically correct: "Looking out from my quane, I could see a wolf enter quane."

True

False

The given sentence is grammatically incorrect because it uses the word "quane" twice in different ways. In the first instance, it is used as a noun to mean a place or location, similar to the word "den." However, in the second instance, it is used as a verb to mean entering a location. This inconsistency in the usage of the word makes the sentence grammatically incorrect.

Explanation

The given sentence is grammatically incorrect because it uses the word "quane" twice in different ways. In the first instance, it is used as a noun to mean a place or location, similar to the word "den." However, in the second instance, it is used as a verb to mean entering a location. This inconsistency in the usage of the word makes the sentence grammatically incorrect.

70. Six identical triangles can be formed by drawing two straight lines through an octagon's center point.

True

False

It is not possible to form six identical triangles by drawing two straight lines through an octagon's center point. The correct answer is False because an octagon has eight sides, and drawing two straight lines through its center point would only divide it into four equal parts, not six.

Explanation

It is not possible to form six identical triangles by drawing two straight lines through an octagon's center point. The correct answer is False because an octagon has eight sides, and drawing two straight lines through its center point would only divide it into four equal parts, not six.

71. If the day before yesterday is two days after Monday then what day is it today?

Monday

Tuesday

Wednesday

Friday

I don't know

If the day before yesterday is two days after Monday, then the day before yesterday would be Wednesday. Counting two days after Wednesday, we arrive at Friday. Therefore, today is Friday.

Explanation

If the day before yesterday is two days after Monday, then the day before yesterday would be Wednesday. Counting two days after Wednesday, we arrive at Friday. Therefore, today is Friday.

72. The words, "every, how, hand, ever," can form common compound words using, respectively, "one, ever, finger, more."

True

False

The statement suggests that the words "every, how, hand, ever" can form common compound words using "one, ever, finger, more." However, this is not true. These words do not form compound words using the given options. Therefore, the correct answer is False.

Explanation

The statement suggests that the words "every, how, hand, ever" can form common compound words using "one, ever, finger, more." However, this is not true. These words do not form compound words using the given options. Therefore, the correct answer is False.

73. The following, disregarding punctuation, is spelled the same forwards as it is backward: "Drat Saddam, a mad dastard!"

True

False

The given statement "Drat Saddam, a mad dastard!" is spelled the same forwards as it is backward, disregarding punctuation. This means that if we remove the punctuation and read the sentence from left to right or from right to left, it remains the same. Therefore, the correct answer is True.

Explanation

The given statement "Drat Saddam, a mad dastard!" is spelled the same forwards as it is backward, disregarding punctuation. This means that if we remove the punctuation and read the sentence from left to right or from right to left, it remains the same. Therefore, the correct answer is True.

74. Which one of the five choices makes the best comparison? Finger is to Hand as Leaf is to:

Twig

Tree

Branch

Blosom

Bark

The analogy in this question is between the finger and hand, and the leaf and branch. Just as the finger is a part of the hand, the leaf is a part of the branch. The other options do not have a similar relationship. A twig is a smaller part of a branch, a tree is a larger entity than a leaf, a blossom is a part of a flower, and bark is the outer covering of a tree. Therefore, the best comparison is branch.

Explanation

The analogy in this question is between the finger and hand, and the leaf and branch. Just as the finger is a part of the hand, the leaf is a part of the branch. The other options do not have a similar relationship. A twig is a smaller part of a branch, a tree is a larger entity than a leaf, a blossom is a part of a flower, and bark is the outer covering of a tree. Therefore, the best comparison is branch.

75. What is the capital of Florida?

Tallahassee

Miami

Orlando

Tampa Bay

New York

Tallahassee is the correct answer because it is the capital of Florida. It is located in the northern part of the state and is known for its government buildings and universities. Miami, Orlando, Tampa Bay, and New York are not the capital of Florida.

Explanation

Tallahassee is the correct answer because it is the capital of Florida. It is located in the northern part of the state and is known for its government buildings and universities. Miami, Orlando, Tampa Bay, and New York are not the capital of Florida.

76. Sixteen hours are to one day as twenty days are to June's length.

True

False

The statement is comparing the ratio of hours to days with the ratio of days to the length of June. Since there are 24 hours in a day and June typically has 30 days, the ratio of hours to days is 16:1. Similarly, if we consider 20 days as the ratio, then the length of June would be 20 times the number of days, which is also true. Therefore, the statement is true.

Explanation

The statement is comparing the ratio of hours to days with the ratio of days to the length of June. Since there are 24 hours in a day and June typically has 30 days, the ratio of hours to days is 16:1. Similarly, if we consider 20 days as the ratio, then the length of June would be 20 times the number of days, which is also true. Therefore, the statement is true.

77. Sixteen hours are to one day as twenty days are to June's length.

True

False

The statement is comparing the ratio of 16 hours to 1 day with the ratio of 20 days to the length of June. Since June typically has 30 days, the ratio of 20 days to June's length is the same as the ratio of 16 hours to 24 hours (1 day). Therefore, the statement is true.

Explanation

The statement is comparing the ratio of 16 hours to 1 day with the ratio of 20 days to the length of June. Since June typically has 30 days, the ratio of 20 days to June's length is the same as the ratio of 16 hours to 24 hours (1 day). Therefore, the statement is true.

78. You are participating in a race. You've just passed the second person. What position are you now in?

1st

2nd

3rd

4th

5th

If you have just passed the second person in the race, it means that you have overtaken them and are now ahead of them. This implies that you are in the position that the second person was previously in, which is the second position. Therefore, the correct answer is 2nd.

Explanation

If you have just passed the second person in the race, it means that you have overtaken them and are now ahead of them. This implies that you are in the position that the second person was previously in, which is the second position. Therefore, the correct answer is 2nd.

79. The following, disregarding punctuation, is spelled the same forwards as it is backward: "Drat Saddam, a mad dastard!"

True

False

The given statement, "Drat Saddam, a mad dastard!" is spelled the same forwards as it is backward, disregarding punctuation. This means that if we remove the punctuation and read the sentence from left to right or right to left, it remains the same. Therefore, the correct answer is true.

Explanation

The given statement, "Drat Saddam, a mad dastard!" is spelled the same forwards as it is backward, disregarding punctuation. This means that if we remove the punctuation and read the sentence from left to right or right to left, it remains the same. Therefore, the correct answer is true.

80. If a doughnut-shaped house has two doors to the outside and three doors to the inner courtyard, then it's possible to end up back at your starting place by walking through all five doors of the house without ever walking through the same door twice.

True

False

In a doughnut-shaped house with two doors to the outside and three doors to the inner courtyard, it is not possible to end up back at the starting place by walking through all five doors without walking through the same door twice. Since there are only five doors in total, it is not possible to go through all of them without repeating at least one door. Therefore, the statement is false.

Explanation

In a doughnut-shaped house with two doors to the outside and three doors to the inner courtyard, it is not possible to end up back at the starting place by walking through all five doors without walking through the same door twice. Since there are only five doors in total, it is not possible to go through all of them without repeating at least one door. Therefore, the statement is false.

81. The words, "every, how, hand, ever," can form common compound words using, respectively, "one, ever, finger, more."

True

False

The statement is false because the words "every, how, hand, ever" cannot form common compound words using "one, ever, finger, more." There is no logical connection between these words and their corresponding options.

Explanation

The statement is false because the words "every, how, hand, ever" cannot form common compound words using "one, ever, finger, more." There is no logical connection between these words and their corresponding options.

82. Six identical triangles can be formed by drawing two straight lines through an octagon's center point.

True

False

It is not possible to form six identical triangles by drawing two straight lines through an octagon's center point. Drawing two straight lines through the center of an octagon will divide it into eight congruent triangles, not six. Therefore, the correct answer is False.

Explanation

It is not possible to form six identical triangles by drawing two straight lines through an octagon's center point. Drawing two straight lines through the center of an octagon will divide it into eight congruent triangles, not six. Therefore, the correct answer is False.

83. Fred will be four blocks from his starting place if he travels two blocks north, then three blocks east, and then two blocks south.

True

False

If Fred travels two blocks north, he will be two blocks away from his starting place. If he then travels three blocks east, he will still be two blocks away from his starting place since the eastward movement does not change his distance from the starting point. Finally, if he travels two blocks south, he will be four blocks away from his starting place, which means the statement is true.

Explanation

If Fred travels two blocks north, he will be two blocks away from his starting place. If he then travels three blocks east, he will still be two blocks away from his starting place since the eastward movement does not change his distance from the starting point. Finally, if he travels two blocks south, he will be four blocks away from his starting place, which means the statement is true.

84. If a red house is made from red bricks, a blue house is made from blue bricks, a pink house is made from pink bricks, and a black house is made from black bricks. What is a greenhouse made from?

Wood

Moss covered stones

Glass

Green Bricks

Red Bricks

A greenhouse is made from glass because it is a structure that is primarily made of transparent or translucent material such as glass or plastic, allowing sunlight to enter and heat the interior for plant growth.

Explanation

A greenhouse is made from glass because it is a structure that is primarily made of transparent or translucent material such as glass or plastic, allowing sunlight to enter and heat the interior for plant growth.

85. Do the words flammable and inflammable have the same or opposite meaning?

Same

Opposite

The words "flammable" and "inflammable" have the same meaning. Both words are used to describe something that can easily catch fire or burn. The prefix "in-" in "inflammable" might suggest that it means the opposite, but in this case, it actually intensifies the meaning of "flammable." Therefore, both words can be used interchangeably to convey the same idea.

Explanation

The words "flammable" and "inflammable" have the same meaning. Both words are used to describe something that can easily catch fire or burn. The prefix "in-" in "inflammable" might suggest that it means the opposite, but in this case, it actually intensifies the meaning of "flammable." Therefore, both words can be used interchangeably to convey the same idea.

86. Nia, twelve years old, is three times as old as her sister. How old will Nia be when she is twice as old as her sister?

15

18

16

20

21

Nia is currently 12 years old and three times as old as her sister, who is 12/3 = 4 years old. In order for Nia to be twice as old as her sister, her sister would need to be 8 years old. Therefore, Nia will be 16 years old when she is twice as old as her sister.

Explanation

Nia is currently 12 years old and three times as old as her sister, who is 12/3 = 4 years old. In order for Nia to be twice as old as her sister, her sister would need to be 8 years old. Therefore, Nia will be 16 years old when she is twice as old as her sister.

87. If a doughnut-shaped house has two doors to the outside and three doors to the inner courtyard, then it's possible to end up back at your starting place by walking through all five doors of the house without ever walking through the same door twice.

True

False

Since the doughnut-shaped house has only two doors to the outside and three doors to the inner courtyard, it is not possible to end up back at the starting place by walking through all five doors without walking through the same door twice. In order to return to the starting place, one would have to walk through at least one door twice. Therefore, the statement is false.

Explanation

Since the doughnut-shaped house has only two doors to the outside and three doors to the inner courtyard, it is not possible to end up back at the starting place by walking through all five doors without walking through the same door twice. In order to return to the starting place, one would have to walk through at least one door twice. Therefore, the statement is false.

88. Some months have 31 days; how many have 28?

1

3

6

9

12

All months have at least 28 days. However, February is the only month that consistently has exactly 28 days, except during leap years when it has 29 days. Therefore, the correct answer is 12, as all 12 months have 28 days.

Explanation

All months have at least 28 days. However, February is the only month that consistently has exactly 28 days, except during leap years when it has 29 days. Therefore, the correct answer is 12, as all 12 months have 28 days.

89. John needs 13 bottles of water from the store. John can only carry 3 at a time. What's the minimum number of trips John needs to make to the store?

3

4

41/2

5

6

John can only carry 3 bottles of water at a time. To determine the minimum number of trips John needs to make to the store, we divide the total number of bottles he needs (13) by the number of bottles he can carry at a time (3). The result is 4 with a remainder of 1. Since John cannot carry the remaining bottle in one trip, he needs to make an additional trip. Therefore, the minimum number of trips John needs to make to the store is 5.

Explanation

John can only carry 3 bottles of water at a time. To determine the minimum number of trips John needs to make to the store, we divide the total number of bottles he needs (13) by the number of bottles he can carry at a time (3). The result is 4 with a remainder of 1. Since John cannot carry the remaining bottle in one trip, he needs to make an additional trip. Therefore, the minimum number of trips John needs to make to the store is 5.

90. A round wall clock that has been rotated until it is hanging upside down will have a minute hand that points to your right when it is two forty-five

True

False

When a round wall clock is rotated until it is hanging upside down, the minute hand will still point to the left when it is two forty-five. This is because the minute hand always moves clockwise, regardless of the orientation of the clock. Therefore, the statement that the minute hand points to the right when it is two forty-five is incorrect.

Explanation

When a round wall clock is rotated until it is hanging upside down, the minute hand will still point to the left when it is two forty-five. This is because the minute hand always moves clockwise, regardless of the orientation of the clock. Therefore, the statement that the minute hand points to the right when it is two forty-five is incorrect.

91. If each of seven persons in a group shakes hands with each of the other six persons, then a total of forty-two handshakes occurs.

True

False

If there are seven people in a group and each person shakes hands with each of the other six people, we can calculate the total number of handshakes using the formula n(n-1)/2, where n is the number of people. In this case, the calculation would be 7(7-1)/2 = 21. Therefore, the correct answer is False, as there would be a total of 21 handshakes, not 42.

Explanation

If there are seven people in a group and each person shakes hands with each of the other six people, we can calculate the total number of handshakes using the formula n(n-1)/2, where n is the number of people. In this case, the calculation would be 7(7-1)/2 = 21. Therefore, the correct answer is False, as there would be a total of 21 handshakes, not 42.

92. If each of seven persons in a group shakes hands with each of the other six persons, then a total of forty-two handshakes occurs.

True

False

The given statement states that each of the seven persons in a group shakes hands with each of the other six persons. In order to calculate the total number of handshakes, we can use the combination formula nC2, where n represents the number of people. In this case, n = 7. Therefore, the total number of handshakes would be 7C2 = (7*6)/(2*1) = 21. Hence, the correct answer is False, as there are 21 handshakes, not 42.

Explanation

The given statement states that each of the seven persons in a group shakes hands with each of the other six persons. In order to calculate the total number of handshakes, we can use the combination formula nC2, where n represents the number of people. In this case, n = 7. Therefore, the total number of handshakes would be 7C2 = (7*6)/(2*1) = 21. Hence, the correct answer is False, as there are 21 handshakes, not 42.

93. A rancher is building an open-ended (straight) fence by stringing wire between posts 25 meters apart. If the fence is 100 meters long how many posts should the rancher use?

2

3

4

5

I don't know

To determine the number of posts needed, we divide the total length of the fence (100 meters) by the distance between each post (25 meters). This calculation gives us 4, meaning that 4 posts would be enough to build the fence. However, since the fence is open-ended, we need to add one more post at the end to secure the wire properly. Therefore, the rancher should use a total of 5 posts.

Explanation

To determine the number of posts needed, we divide the total length of the fence (100 meters) by the distance between each post (25 meters). This calculation gives us 4, meaning that 4 posts would be enough to build the fence. However, since the fence is open-ended, we need to add one more post at the end to secure the wire properly. Therefore, the rancher should use a total of 5 posts.

94. A round wall clock that has been rotated until it is hanging upside down will have a minute hand that points to your right when it is two forty-five.

True

False

When a round wall clock is rotated until it is hanging upside down, the minute hand will still point towards the 9 o'clock position when it is two forty-five. This is because the minute hand always moves in a clockwise direction, regardless of the orientation of the clock. Therefore, the statement that the minute hand points to the right when it is two forty-five is false.

Explanation

When a round wall clock is rotated until it is hanging upside down, the minute hand will still point towards the 9 o'clock position when it is two forty-five. This is because the minute hand always moves in a clockwise direction, regardless of the orientation of the clock. Therefore, the statement that the minute hand points to the right when it is two forty-five is false.

95. Choose the conclusion that validly follows from the argument below. All kittens are playful Some pets are kittens Therefore

All kittens are pets

Some kittens are pets

All pets are playful

Some pets are playful

I don't know

The conclusion "All kittens are pets" is valid because the argument states that all kittens are playful, and some pets are kittens. Since all kittens are pets and all kittens are playful, it logically follows that all kittens are pets.

Explanation

The conclusion "All kittens are pets" is valid because the argument states that all kittens are playful, and some pets are kittens. Since all kittens are pets and all kittens are playful, it logically follows that all kittens are pets.

96. Two people can make 2 bicycles in 2 hours. How many people are needed to make 12 bicycles in 6 hours?

6

4

2

1

0

If two people can make 2 bicycles in 2 hours, it means that each person can make 1 bicycle in 2 hours. Therefore, to make 12 bicycles in 6 hours, we need to find the number of people who can make 1 bicycle in 2 hours. Since each person can make 1 bicycle in 2 hours, we need 4 people to make 12 bicycles in 6 hours.

Explanation

If two people can make 2 bicycles in 2 hours, it means that each person can make 1 bicycle in 2 hours. Therefore, to make 12 bicycles in 6 hours, we need to find the number of people who can make 1 bicycle in 2 hours. Since each person can make 1 bicycle in 2 hours, we need 4 people to make 12 bicycles in 6 hours.

97. John digs a hole that is 2 yards wide, 3 yards long, and 1 yard deep. How many cubic feet of dirt is in it?

0

2

3

5

6

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Explanation

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98. Desert is to oasis as ocean is to:

Water

Sand

Sea

Island

I don't know

The analogy "desert is to oasis as ocean is to sand" is based on the relationship between a desert and an oasis. In a desert, sand is the predominant feature, while an oasis is a small area with water and vegetation. Similarly, in the given analogy, the ocean is compared to sand. Just as sand is a characteristic feature of a desert, water is a characteristic feature of an ocean.

Explanation

The analogy "desert is to oasis as ocean is to sand" is based on the relationship between a desert and an oasis. In a desert, sand is the predominant feature, while an oasis is a small area with water and vegetation. Similarly, in the given analogy, the ocean is compared to sand. Just as sand is a characteristic feature of a desert, water is a characteristic feature of an ocean.