Q.

64 : 100 : : 16 : ?

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a

36

b

25

c

50

d

55

answer is B.

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Detailed Solution

Explanation

The first ratio is 64 : 100. Let’s analyze the numbers:

  • 64 = 82 (square of 8)
  • 100 = 102 (square of 10)

The relationship is based on the squares of numbers.

For the second pair, 16 : ?:

  • 16 = 42 (square of 4)
  • The missing number must be 62 = 36.

The proportion becomes: 64 : 100 = 16 : 36

Simplify both ratios:

64 : 100 = 8 : 10

16 : 36 = 4 : 6 = 8 : 10

Both ratios are equal, confirming that the missing number is 36.

Final Answer: 36

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