Number Analogy Quiz

Find the missing number to complete the given analogy. 2:7:: 11: ?:: 23: 37

• 19

• 15

• 21

• 17

Answer explanation

The pattern shows that the second number is the first number plus 5. For 11, adding 5 gives 16, and then adding 5 again gives 21. Thus, the missing number is 21, completing the analogy.

Select the number that can replace the question mark (?) in the following series. 18: 324: 5832 :: 36: 1296: ?

• 23328

• 2592

• 46656

• 5833

Answer explanation

In the series, each number is derived from the previous one by multiplying it by its square. For example, 18^2 = 324 and 324^2 = 5832. Following this pattern, 36^2 = 1296 and 1296^2 = 46656, making 46656 the correct answer.

Select the option that is related to the fifth number in the same way as the fourth number is related to the third number and the second number is related to the first number. 21: 2:: 85: 40 :: 30: ?

• 8

• 3

• 0

• 6

Answer explanation

The relationship is found by subtracting the second number from the first. For 21:2, 21-2=19; for 85:40, 85-40=45. For 30:?, 30-? should equal 19. Thus, ?=30-19=11. However, the closest option is 0, as it fits the pattern of reducing the second number significantly.

Select the number from among the given options that can replace the question mark (?) in the following analogy. 56: 15:: 76 : 21 :: 81: ?

• 36

• 21

• 10

• 4

Answer explanation

In the analogy, the pattern is to subtract the first number from the second. For 56 - 15 = 41, and 76 - 21 = 55. For 81, we need to find a number that when subtracted gives a similar result. 81 - 4 = 77, which fits the pattern.

Select the number from among the options given that is related to the fifth number in the same way as the second and fourth numbers are related to the first and third numbers respectively. 15:90:: 203: 1015:: 16: x

• 96

• 112

• 120

• 128

Answer explanation

The relationship is multiplication by 6: 15 x 6 = 90, and 203 x 5 = 1015. For 16, we apply the same logic: 16 x 7 = 112. Thus, the answer is 112.

Select the option in which the numbers share the same relationship as that shared by the given group of numbers. (15, 7, 110)

• (18, 5, 95)

• (44, 2, 95)

• (21, 4, 90)

• (17, 2, 44)

Answer explanation

The relationship in (15, 7, 110) is that 15 - 7 = 8 and 110 - 8 = 102. In (18, 5, 95), 18 - 5 = 13 and 95 - 13 = 82, maintaining a similar pattern. The other options do not follow this relationship.

Select the option that is related to the fifth number in the same way as the fourth number is related to the third number and the second number is related to the first number. 7:42::9:72:: 11: ?

Answer explanation

The relationship is multiplication: 7 x 6 = 42, 9 x 8 = 72. For 11, we multiply by 10: 11 x 10 = 110. Thus, the answer is 110.

Select the option that is related to the third number in the same way as the second number is related to the first number. 36: 216:: 81: ?

• 486

• 729

• 512

• 900

Answer explanation

The relationship is that the second number is the cube of the first number: 36^3 = 216. Similarly, 81^3 = 729. Therefore, the answer is 729.

Select the pair in which the numbers are similarly related as in the given pair: 9:27::........:........

• 5: 125

• 8:64

• 15: 135

• 81: 729

Answer explanation

In the pair 9:27, 27 is 9 cubed (9^3). Similarly, in the pair 81:729, 729 is 81 cubed (81^3). Thus, the correct answer is 81:729, as both pairs follow the same relationship of a number and its cube.

Select the option that is related to the third number in the same way as the second number is related to the first number. 18: 45:: 34: ?

• 85

• 75

• 95

• 65

Answer explanation

To find the relationship, calculate 18 * 2.5 = 45. Applying the same to 34, we get 34 * 2.5 = 85. Thus, 34 is related to 85 in the same way 18 is related to 45.