1.
Look at the drawing. The numbers alongside each column and row are the total of the values of the symbols within each column and row. What should replace the question mark?
Correct Answer
B. 25
Explanation
The numbers in each row and column represent the sum of the values of the symbols within that row or column. Looking at the rows and columns, we can see that the sum of the values in the first row is 23, the sum in the second row is 25, the sum in the third row is 28, and the sum in the fourth row is 32. Therefore, the missing value should be the sum of the symbols in the second row, which is 25.
2.
What is the word coiled inside this circle?
Correct Answer
B. F
Explanation
The correct answer is F.
3.
Which of the figures in the bottom row should logically be in the spot of the question mark in the top row?
Correct Answer
B.
4.
What does the resulting cube look like if you fold this cube together?
Correct Answer
B.
5.
Which of the below figures can be composed from the loose parts?
Correct Answer
D.
6.
Which statement best describes the diagram?
Correct Answer
B. All Zorgs are Ravs, and some Flumps are Ravs (value of answer: 1)
Explanation
The diagram shows that all Zorgs are Ravs, as indicated by the overlapping area between the two circles. Additionally, it shows that some Flumps are also Ravs, as indicated by the overlapping area between the Flumps circle and the Ravs circle. Therefore, the statement "All Zorgs are Ravs, and some Flumps are Ravs" accurately describes the diagram.
7.
The quadrilateral above has four sides, whose lengths are represented by A, B, C, and D. If we wanted to calculate the area of the quadrilateral, which of the lengths must we know to make the calculation?
Correct Answer
C. Any three of them. (value of answer: 1)
Explanation
To calculate the area of a quadrilateral, we need to know the lengths of its sides. Since a quadrilateral has four sides, we would need to know the lengths of any three of them in order to make the calculation.
8.
Assume the following measurements. X = 8 feet. Y = 20 feet. The region 'a' has an area of 40 square feet. The region 'b' has an area of 65 square feet. What is the area of region 'c'?
Correct Answer
C. It can't be calculated
Explanation
The area of region 'c' cannot be calculated because the measurements or dimensions of region 'c' are not provided in the question. Without the dimensions, it is not possible to determine the area of region 'c'.
9.
(Use the Venn Diagram above to answer the question. The black circle represents all Smaugs, the red circle represents all Toogs, and the green circle represents all Ficks.) What does region "d" represent?
Correct Answer
D. Things that are Smaugs and Ficks but not Toogs
Explanation
Region "d" represents things that are Smaugs and Ficks but not Toogs. This is because region "d" is the intersection between the black circle (representing Smaugs) and the green circle (representing Ficks), but it does not overlap with the red circle (representing Toogs). Therefore, it includes only the elements that are both Smaugs and Ficks, excluding any elements that are also Toogs.
10.
What is the minimum number of toothpicks necessary to spell the word "HAT". (You are not allowed to break or bend any toothpicks.)
Correct Answer
A. Seven
Explanation
To spell the word "HAT" using toothpicks, we need to consider the number of toothpicks required to form each letter. The letter "H" can be formed using three toothpicks, the letter "A" can be formed using two toothpicks, and the letter "T" can be formed using two toothpicks. Therefore, the minimum number of toothpicks necessary to spell the word "HAT" is seven.
11.
Ralph travels four blocks north, then two blocks east, then three blocks south and finally two blocks west. How many blocks is Ralph from his starting place?
Correct Answer
C. One block
Explanation
Ralph's movements can be visualized as a path on a grid. Starting from his starting place, he first moves four blocks north, which takes him higher on the grid. Then, he moves two blocks east, which takes him further to the right on the grid. Next, he moves three blocks south, which takes him lower on the grid. Finally, he moves two blocks west, which takes him back to the left on the grid. Since his final position is one block to the left of his starting place, he is one block away from his starting place.
12.
Which one of these four symbols is least like the other three?
Correct Answer
B. C
Explanation
The symbols A, B, and D all have a closed loop, while symbol C does not. This makes symbol C different from the other three symbols, making it the least like the others.
13.
Sales of the company's new cola are through the roof! It is represented in purple, with 4000 units sold. The green bar represents the Green Soda, with 3700 units sold. How much faster will the new soda grow?
Correct Answer
D. It is impossible to tell with the data given
Explanation
The question does not provide any information about the growth rate or trend of sales for either the new cola or the green soda. Without this information, it is impossible to determine how much faster the new soda will grow compared to the green soda. Therefore, the correct answer is that it is impossible to tell with the data given.
14.
The above piechart represents the results of an election on an alien planet. The candidate, Hum, won the election, receiving five times as many votes as Yab. Pip received 30% of all votes. What percentage of votes did Hum receive?
Correct Answer
A. 58.30%
Explanation
Since the pie chart shows that Pip received 30% of all votes, and Hum received five times as many votes as Yab, we can conclude that Hum received 30% + 5x30% = 30% + 150% = 180% of all votes. However, since the total percentage of votes cannot exceed 100%, we can infer that the pie chart is not accurately representing the data. Therefore, it is impossible to determine the exact percentage of votes that Hum received from the given data.
15.
All of these shapes are actually pictures of four different alien life forms. An alien psychologist was hired to determine which of the life forms was the most normal of the four. Which do you think was chosen?
Correct Answer
B. A
Explanation
The question asks which of the four alien life forms was chosen as the most normal. However, there is no information provided about the characteristics or criteria used to determine what is considered "normal" for these alien life forms. Therefore, it is not possible to provide an explanation for why A was chosen as the correct answer.
16.
Which one of the letters does not belong in the following series: D - F - H - J - K - N - P - R
Correct Answer
B. K
Explanation
In the given series, all the letters are in alphabetical order, except for the letter K. It is the only letter that does not follow the pattern of increasing by 2 letters in each step. Therefore, K does not belong in the series.
17.
Assume that the red and blue blobs are two pieces that form the green blob. Also assume that the area of the green blob in square centimeters is three times the area of the red blob. If the area of the green blob is 750 square centimeters, what is the area of the blue blob?
Correct Answer
A. 500 square centimeters
Explanation
The area of the green blob is three times the area of the red blob, which means that the area of the red blob is 750 square centimeters divided by 3, or 250 square centimeters. Since the blue blob is the remaining piece that forms the green blob, its area is equal to the total area of the green blob minus the area of the red blob, which is 750 square centimeters minus 250 square centimeters, or 500 square centimeters. Therefore, the area of the blue blob is 500 square centimeters.
18.
Which one of the five is least like the other four?
Correct Answer
B. Shark
Explanation
The shark is the only animal in the group that lives in water, while the other four animals (deer, lion, and dog) are land animals. This makes the shark least like the other four.
19.
NASA received three messages in a strange language from a distant planet. Scientists studied these messages and found that "Floos Beiling Hoomp" means "We come in peace" and "Moog Naline Floos" means "Peace, Love, and Freedom " and "Beiling Boog Vladi" means "In the last hour". What does "Hoomp" mean?
Correct Answer
C. We come
Explanation
Based on the given information, "Floos Beiling Hoomp" means "We come in peace" and "Moog Naline Floos" means "Peace, Love, and Freedom". Since "Hoomp" is only present in the first message and it corresponds to "We come" in English, it can be inferred that "Hoomp" means "We come".
20.
"If some Toogs are Bloogs and all Gleems are Bloogs, then some Toogs are definitely Gleems." This statement is:
Correct Answer
B. False
Explanation
This statement is false because it violates the rule of categorical syllogism. The statement assumes that if some Toogs are Bloogs and all Gleems are Bloogs, then some Toogs are definitely Gleems. However, this assumption is incorrect because it is possible for there to be Toogs that are not Gleems, even if all Gleems are Bloogs. Therefore, the statement is false.
21.
If you rearrange the letters "TOOKY", you would have the name of a/an:
Correct Answer
B. City
Explanation
By rearranging the letters "TOOKY", we can form the word "CITY". Therefore, the correct answer is City.
22.
The word "racecar" is spelled the same forwards and backwards.
Correct Answer
A. True
Explanation
The word "racecar" is a palindrome, which means it can be read the same way forwards and backwards. In this case, the word "racecar" is spelled the same way from left to right and from right to left, making the statement true.
23.
Mike, six years old, is twice as old as his brother. How old will Mike be when he is one and a half times as old as his brother?
Correct Answer
B. 9
Explanation
Mike is currently 6 years old and his brother's age is half of that, which is 3 years old. To find out when Mike will be one and a half times as old as his brother, we need to determine the age gap between them. Currently, the age gap is 6 - 3 = 3 years. Since the brother's age will remain the same, Mike needs to age by 3 years to make the age gap 4. Therefore, when Mike is 9 years old, he will be one and a half times as old as his brother.
24.
Two of the following numbers add up to seventeen. 6 - 13 - 2 - 12 - 7 - 14
Correct Answer
B. False
Explanation
None of the given numbers (6, 13, 2, 12, 7, 14) add up to seventeen. Therefore, the statement that two of the numbers add up to seventeen is false.
25.
If some Toogs are Bloogs and all Gleems are Bloogs, then some Toogs are definitely Gleems." This statement is:
Correct Answer
B. False
Explanation
The statement is false because it is not necessarily true that some Toogs are definitely Gleems. While it is given that some Toogs are Bloogs and all Gleems are Bloogs, it does not guarantee that there is an overlap between Toogs and Gleems. It is possible that there are Toogs that are not Gleems, making the statement false.
26.
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