CAT4 - Cognitive Abilities Test Fourth Edition Quantitative Analogies Questions and Answers 1 — Questions and Answers
Question 1: [4 → 12] [9 → 27] [6 → ?]
- 15
- 18 (Correct answer)
- 12
- 24
Correct answer: 18
The relationship in each pair is that the second number is three times the first number (n * 3). In the first pair, 4 * 3 = 12. In the second pair, 9 * 3 = 27. Therefore, for the third pair, 6 * 3 = 18.
Question 2: Which of the following pairs follows the same quantitative analogy as [8 → 4] and [20 → 10]?
- [12 → 8]
- [15 → 5]
- [14 → 7] (Correct answer)
- [10 → 12]
Correct answer: [14 → 7]
The rule for the given pairs is to divide the first number by 2 to get the second number (n / 2). 8 / 2 = 4 and 20 / 2 = 10. The pair [14 → 7] follows the same rule because 14 / 2 = 7.
Question 3: A student is presented with a quantitative analogy problem: [5 → 25] [8 → 64] [10 → ?]. The student must determine the mathematical rule and apply it to find the missing number. What is the missing number?
- 100 (Correct answer)
- 50
- 20
- 90
Correct answer: 100
The scenario describes a rule where the second number is the square of the first number (n²). In the first pair, 5 * 5 = 25. In the second pair, 8 * 8 = 64. Following this pattern, the missing number is 10 * 10 = 100.
Question 4: [49 → 7] [81 → 9] [36 → ?]
- 4
- 18
- 9
- 6 (Correct answer)
Correct answer: 6
The relationship in each pair is that the second number is the square root of the first number (√n). The square root of 49 is 7, and the square root of 81 is 9. Therefore, the square root of 36 is 6.
Question 5: Consider the following sequence of pairs: [2 → 5] [6 → 9] [11 → ?]. What number completes the third pair?
- 13
- 15
- 14 (Correct answer)
- 12
Correct answer: 14
The rule for these pairs is to add 3 to the first number to get the second number (n + 3). For the first pair, 2 + 3 = 5. For the second pair, 6 + 3 = 9. Applying this rule to the third pair, 11 + 3 = 14.
Question 6: A quantitative reasoning task requires you to identify the rule from two examples and apply it to a third. Given the pairs [15 → 10] and [25 → 20], what is the correct output for the input 30?
- 20
- 15
- 35
- 25 (Correct answer)
Correct answer: 25
The scenario shows a consistent rule of subtracting 5 from the first number to get the second number (n - 5). In the first example, 15 - 5 = 10. In the second, 25 - 5 = 20. Therefore, for an input of 30, the output is 30 - 5 = 25.
CAT4 - Cognitive Abilities Test Fourth Edition Quantitative Analogies Questions and Answers 1
[4 → 12] [9 → 27] [6 → ?]