CAT4 - Cognitive Abilities Test Fourth Edition Quantitative Analogies Questions and Answers

Question 1

[4 → 12] [9 → 27] [6 → ?]

Accepted Answer

18

Answer

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]?

Accepted Answer

[14 → 7]

Answer

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?

Accepted Answer

100

Answer

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 → ?]

Accepted Answer

6

Answer

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?

Accepted Answer

14

Answer

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.

CAT4 Practice Test

CAT4 Practice Test

CAT4 - Cognitive Abilities Test Fourth Edition Quantitative Analogies Questions and Answers