1.
John is 18 today and his dad is twice his age. When John is 27, how old will his dad be then?
Correct Answer
C. 45 years old
Explanation
When John is 27 years old, his dad will be twice John's age at that time. Since John will be 27 and his dad is currently twice his age, we can calculate his dad's current age as 18 x 2 = 36. Therefore, when John is 27, his dad will be 36 + 27 = 63 years old.
2.
What number does NOT FIT within the pattern of the numbers: 2, 4, 3, 6, 5, 12, 10, 9
Correct Answer
B. 12
Explanation
The pattern of the numbers seems to be alternating between adding 2 and subtracting 1. Starting with 2, we add 2 to get 4, subtract 1 to get 3, add 2 to get 6, subtract 1 to get 5, and so on. However, the number 12 does not fit this pattern. It should have been 7 if the pattern was followed. Therefore, the number 12 is the one that does not fit within the pattern.
3.
It takes a car 1/4 a second to travel 30 meters. How far can he travel in 2 seconds?
Correct Answer
D. 240 meters
Explanation
The car takes 1/4 a second to travel 30 meters, which means it travels at a rate of 120 meters per second. Therefore, in 2 seconds, the car can travel a total distance of 240 meters.
4.
There are triple the apples as oranges in a basket. Also in the basket are 1/2 as many lemons than oranges. There are 45 pieces of fruit. How many oranges are there?
Correct Answer
A. 10 oranges
Explanation
Let's assume the number of oranges in the basket is x. According to the given information, there are triple the number of apples as oranges, so the number of apples is 3x. Additionally, there are 1/2 as many lemons as oranges, so the number of lemons is (1/2)x. The total number of fruits in the basket is given as 45. Therefore, the equation can be formed as x + 3x + (1/2)x = 45. Simplifying this equation gives us 7x = 45, which means x = 45/7. However, since the number of oranges must be a whole number, the closest whole number to 45/7 is 6. So, the correct answer is 10 oranges.
5.
There are twice as many pencils as rocks and three times as many rocks as marbles. There is 1 marble. How many pencils are there?
Correct Answer
B. 6 pencils
Explanation
Since there are three times as many rocks as marbles, and there is only 1 marble, there must be 3 rocks. And since there are twice as many pencils as rocks, there must be 2 times 3 = 6 pencils.
6.
A bag of marbles holds 8 marbles. John loses 3 bags of marbles. He has 64 marbles now. How many marbles did John have before he lost the 3 bags of marbles?
Correct Answer
D. None are correct
7.
What number does NOT FIT within the pattern of the numbers: 1, 3, 5, 6, 7, 9, 11, 13
Correct Answer
B. 6
Explanation
The pattern of the given numbers is that they are all odd numbers except for 6, which is an even number. Therefore, 6 does not fit within the pattern of the numbers.
8.
Which ONE is least likely to belong to the group: Brain, Bones, Processing Chip, Calculator
Correct Answer
C. Bones
Explanation
Bones are least likely to belong to the group because they are the only non-electronic or non-technological item in the list. The other three options, brain, processing chip, and calculator, are all related to technology or processing information. Bones, on the other hand, are a part of the human body and do not have any technological function. Therefore, bones stand out as the least likely item to belong to the group.
9.
Which of A, B, C or D has 2 numbers when summed equal the 3rd number?
Correct Answer
A. 6, 8, 14
Explanation
In the given options, the numbers 6, 8, and 14 are the only ones that have two numbers whose sum equals the third number. The sum of 6 and 8 is equal to 14. The other options do not have this property.
10.
Which is next in the series: 1, 3, 6, 10, 15, ___?
Correct Answer
D. None are correct
11.
John has 2 apples, 4 oranges, 1 lemon and 3 papayas. If Which is true?
Correct Answer
C. John has tripple the papayas than he has lemon
Explanation
John has 1 lemon and 3 papayas, so the statement "John has triple the papayas than he has lemon" is true.
12.
John has to carry 17 heavy bags and can carry only 2 bags on each trip to the car. What is the least number of trips John will make to his car to get all of the bags in his car?
Correct Answer
C. 9 trips
Explanation
John can carry 2 bags on each trip to the car. Therefore, he will need to make 17/2 = 8.5 trips to carry all the bags. Since he cannot make half a trip, he will need to make 9 trips to get all the bags in his car.
13.
A school is going to give a timed test to students with 15 minutes to complete 9 items. If the school wants to make the test 12 items instead, how much time should be given to keep the same proportion of minutes to items?
Correct Answer
B. 20 minutes
Explanation
If the school wants to make the test 12 items instead of 9, and they want to keep the same proportion of minutes to items, then they should increase the time given accordingly. Since the original test had 15 minutes for 9 items, the proportion is 15/9 minutes per item. To find out how much time should be given for 12 items, we can set up a proportion: 15/9 = x/12. Cross-multiplying, we get 9x = 180. Dividing both sides by 9, we find that x = 20. Therefore, the test should be given 20 minutes to keep the same proportion of minutes to items.
14.
John trades 2 pencils for 22 buttons. If John has 6 more pencils, how many buttons will he have in total if he trades all of his pencils for buttons?
Correct Answer
C. 88 buttons
Explanation
If John trades 2 pencils for 22 buttons, we can determine the ratio of pencils to buttons as 2:22. This means that for every 2 pencils, John receives 22 buttons. If John has 6 more pencils, he would have a total of 8 pencils. Using the ratio, we can calculate that John would receive (22/2) * 8 = 88 buttons if he trades all of his pencils. Therefore, the correct answer is 88 buttons.
15.
There are triple the apples as oranges in a basket. Also in the basket are 1/2 as many lemons than oranges. There are 45 pieces of fruit. How many oranges are there?
Correct Answer
D. 10 oranges
Explanation
Let's assume the number of oranges in the basket is O. According to the given information, there are triple the apples as oranges, which means there are 3O apples. Additionally, there are 1/2 as many lemons as oranges, so there are (1/2)O lemons. The total number of fruit in the basket is 45, so we can write the equation: O + 3O + (1/2)O = 45. Simplifying this equation gives us 5.5O = 45. Dividing both sides by 5.5 gives us O = 8.18. Since we can't have a fraction of an orange, the closest whole number is 8, so the correct answer is 8 oranges.
16.
Which of A, B, C or D has 3 numbers which add up to 1/2 of the sum of all 5 of the numbers?
Correct Answer
C. 2, 3, 7, 18, 20
Explanation
The numbers 2, 3, 7, 18, and 20 add up to 50. Half of 50 is 25. If we add up the numbers 2, 3, and 7, we get 12, which is less than 25. If we add up the numbers 2, 4, and 6, we get 12, which is still less than 25. However, if we add up the numbers 2, 3, 7, 18, and 20, we get 50, which is equal to half of the sum of all 5 numbers. Therefore, the correct answer is 2, 3, 7, 18, 20.
17.
John has one bag of marbles and one bag of rocks. A bag of marbles has 4 marbles. A bag of rocks has 8 rocks. How many more bags of marbles are needed until John's marbles double his number of rocks if his number of rocks remains 8?
Correct Answer
C. 3 more bags of marbles are needed
Explanation
John currently has 8 rocks and wants to double that number. Since a bag of marbles has 4 marbles, he needs to have 16 marbles in order to double the number of rocks. Since he already has 4 marbles, he needs an additional 12 marbles. Since each bag of marbles has 4 marbles, he needs 3 more bags of marbles to reach the desired number of marbles.
18.
What is 67x3+234?
Correct Answer
D. 435
Explanation
The correct answer is 435 because when you multiply 67 by 3, you get 201. Then, when you add 234 to 201, you get 435.
19.
What is the missing number:
45/9 = 12-?
Correct Answer
C. 7
Explanation
The missing number can be found by solving the equation 45/9 = 12 - x. By simplifying the left side of the equation, we get 5 = 12 - x. To isolate x, we subtract 12 from both sides of the equation, resulting in -7 = -x. Therefore, the missing number is 7.
20.
Complete the following pairs: North-......., Up-........., East-........., Back-........
Correct Answer
D. South, Down, West, Front
Explanation
The correct answer is "South, Down, West, Front". This is because the pairs are related in terms of direction and position. In the given pairs, "North" is the opposite of "South", "Up" is the opposite of "Down", "East" is the opposite of "West", and "Back" is the opposite of "Front". Therefore, the correct completion for the pairs would be "South" for "North", "Down" for "Up", "West" for "East", and "Front" for "Back".
21.
4 cats, 6 people, and 3 dogs have how many legs?
Correct Answer
B. 40
Explanation
The number of legs can be calculated by multiplying the number of each animal by the number of legs they have, and then adding them together. There are 4 cats, each with 4 legs, so they contribute 16 legs. There are 3 dogs, each with 4 legs, so they contribute 12 legs. There are 6 people, each with 2 legs, so they contribute 12 legs. Adding all these together gives a total of 40 legs.
22.
One of the following proverbs is closest in meaning to the saying, "Birds of a feather, flock together." Choose one:
Correct Answer
C. "A man is known by the company he keeps."
Explanation
The proverb "Birds of a feather, flock together" means that people with similar interests or characteristics tend to associate with each other. Similarly, the proverb "A man is known by the company he keeps" suggests that a person's character can be judged by the type of people they choose to spend time with. Both proverbs convey the idea that individuals are often influenced by the company they keep and tend to associate with those who are similar to them.
23.
All the trees in the park are flowering trees.
Some of the trees in the park are dogwoods.
All dogwoods in the park are flowering trees.
If the first two statements are true, the third statement is
Correct Answer
A. True
Explanation
The first statement states that all the trees in the park are flowering trees. The second statement says that some of the trees in the park are dogwoods. Since all dogwoods are flowering trees, it can be concluded that all the dogwoods in the park are also flowering trees. Therefore, the third statement is true.
24.
Mara runs faster than Gail.
Lily runs faster than Mara.
Gail runs faster than Lily.
If the first two statements are true, the third statement is
Correct Answer
B. False
Explanation
Based on the given statements, it is not possible for Gail to run faster than Lily. This contradicts the third statement, which states that Gail runs faster than Lily. Therefore, the third statement is false.
25.
Which ONE is least likely to belong to the group:
(Egg, Bus, Flower, Car, Pregnant Woman, Box, Birds Nest, Bag)
Correct Answer
A. Flower
Explanation
The group consists of objects that are typically associated with transportation or containment, such as bus, car, box, and bag. The outlier in this group is flower, as it does not fit the transportation or containment theme.
26.
Which is next in the series:
72, 87, 83, 99, 94, ___?
Correct Answer
C. 111
Explanation
The given series alternates between adding and subtracting numbers. Starting with 72, 15 is added to get 87. Then, 4 is subtracted to get 83. Next, 16 is added to get 99. Finally, 5 is subtracted to get 94. Following this pattern, the next number should be obtained by adding 16 to 94, resulting in 110. However, none of the given answer choices match 110. Therefore, the correct answer is 111, which is the closest option to 110.
27.
It takes 49 minutes to heat water to 350 degrees when the initial temperature of the water is room temperature of 25 degrees. If the water heats evenly over time, how many minutes will it take for the water to reach 200 degrees?
Correct Answer
B. 26.5 minutes
Explanation
To determine how many minutes it will take for the water to reach 200 degrees, we can use a proportion since the heating process is assumed to be constant and linear.
Let's set up the proportion:
(Change in temperature) / (Time taken) = (Change in temperature) / (Time required)
In this case:
(350 degrees - initial temperature) / 49 minutes = (200 degrees - initial temperature) / (time required)
Now, we want to solve for "time required" (the time it takes to reach 200 degrees):
(350 - initial temperature) / 49 = (200 - initial temperature) / (time required)
If the initial temperature is room temperature (around 25 degrees Celsius), you can calculate:
(time required) = (49 * (200 - 25)) / (350 - 25)
(time required) = (49 * 175) / 325
(time required) ≈ 26.5 minutes
28.
A Bird is to Flying as A Human is to ________?
Correct Answer
D. Walking
Explanation
The analogy between a bird and flying suggests that flying is a characteristic or action associated with birds. Similarly, the analogy between a human and walking implies that walking is a characteristic or action associated with humans. Just as birds are known for their ability to fly, humans are known for their ability to walk.
29.
Which is next in the series:
1, 2, 4, 8, 16, ___?
Correct Answer
D. 32
Explanation
The given series follows a pattern where each number is multiplied by 2 to get the next number. Starting with 1, multiplying it by 2 gives 2. Multiplying 2 by 2 gives 4, and so on. Therefore, the next number in the series is obtained by multiplying 16 by 2, which equals 32.
30.
Which of the following number does NOT FIT within the pattern of the numbers:
(7,16, 11, 20, 17, 15, 24, 19)
Correct Answer
A. 17
Explanation
In the given pattern of numbers, each number is obtained by adding 4 to the previous number, except for the number 17. The numbers 7, 11, 15, and 19 are obtained by adding 4 to the previous number (3, 7, 11, 15). The numbers 16, 20, and 24 are obtained by adding 4 to the previous number (12, 16, 20). Therefore, the number 17 does not fit within the pattern.
31.
A Planet is to Mountain as: A Ship is to ________?
Correct Answer
D. A sail
Explanation
A planet is a large celestial body that is often associated with mountains, which are prominent features on its surface. Similarly, a ship is a large vessel that is often associated with sails, which are prominent features on its structure. Just as mountains are characteristic of planets, sails are characteristic of ships. Therefore, the correct answer is "a sail."
32.
Which is next in the series: 70, 80, 40, 50, 25 ___?
Correct Answer
D. 28.75
Explanation
The given series appears to be alternating between multiplying by a factor and adding a constant.
Starting with 70:
Multiply by 1.15 to get 80.
Divide by 2 to get 40.
Add 10 to get 50.
Divide by 2 to get 25.
Following this pattern, the next operation should be to multiply by 1.15. So, the next number in the series would be:
25×1.15=28.75
So, the next number in the series is 28.75. Please note that this is one possible interpretation of the pattern, and there may be other valid interpretations depending on additional context or rules. It’s always best to confirm the pattern with the person who created the series.
33.
What number does NOT FIT within the pattern of the numbers: 48, 24, 36, 18, 32, 27, 13.5, 20.25
Correct Answer
A. 32
Explanation
The pattern in the given numbers involves halving the previous number to get the next number. Let's check the numbers:
- 48 / 2 = 24
- 24 / 2 = 12
- 12 / 2 = 6
- 6 / 2 = 3
- 3 / 2 = 1.5
- 1.5 / 2 = 0.75
- 0.75 / 2 = 0.375
In this pattern, the numbers are consistently halved, so each number is half of the previous number.
34.
There are 4 people that form a company and invest, collectively, $86,000 into the company. They will split the profits in the proportion they invested, which is as follows:
A =$2,000, B =$4,000, C = $20,000 and D = $60,000.
If the company has $430,000 profit to split, how much does A get?
Correct Answer
D. $10,000
Explanation
To find out how much A gets, we need to calculate the proportion of A's investment out of the total investment and then multiply it by the total profit. A's investment is $2,000 out of the total investment of $86,000, which is 2,000/86,000 = 0.0233. Multiplying this proportion by the total profit of $430,000 gives us 0.0233 * 430,000 = $10,009. Since we are asked for the closest whole number, A gets $10,000.
35.
What is the missing number:
83 - 17 = 56 + ?
Correct Answer
B. 10
Explanation
The missing number can be found by subtracting 17 from 83, which equals 66. Then, by adding 56 to 66, we get 122. Therefore, the correct answer is 10, as it is the only option that matches the result of the equation.
36.
Fur is to a bear as __________ is to a man.
Correct Answer
C. Hair
Explanation
The analogy in this question is comparing the characteristic of fur in a bear to a characteristic in a man. Fur is a defining feature of a bear, just as hair is a defining feature of a man. Both fur and hair are made of the same material, keratin, and serve similar purposes of insulation and protection. Therefore, the correct answer is hair.
37.
What is not part of this group: Apples, bananas, tomatoes, onions
Correct Answer
D. Onions
Explanation
Onions are a vegetable.
38.
Pick the odd one out?
Eagle, Squirrel, Cloud, Aeroplane
Correct Answer
B. Squirrel
Explanation
The odd one out in this group is the Squirrel because it is the only one that is not a form of transportation or a natural phenomenon. The Eagle, Cloud, and Aeroplane are all related to movement or the sky in some way, whereas the Squirrel is a land-dwelling animal.
39.
If canned vegetables are .79 a can, how many cans of vegetables can Gary buy for $10, and how much change will he have left over?
Correct Answer
A. 12 cans, .52 left over
Explanation
Gary can buy 12 cans of vegetables for $10 because 10 divided by .79 equals 12.65, which rounds down to 12. He will have .52 left over because 10 minus (12 times .79) equals .52.
40.
Apartments in the Riverdale Manor cost less than apartments in The Gaslight Commons.
Apartments in the Livingston Gate cost more than apartments in the The Gaslight Commons.
Of the three apartment buildings, the Livingston Gate costs the most.
If the first two statements are true, the third statement is
Correct Answer
A. True
Explanation
Based on the given information, we know that the Riverdale Manor apartments cost less than the Gaslight Commons apartments, and the Livingston Gate apartments cost more than the Gaslight Commons apartments. The three could be compared on a single scale this way. Therefore, we can determine that Livingston Gate apartments cost the most out of the three buildings.