Question 8

In the following question, select the related number from the given alternatives.
42 : 105 :: 38 : ?

Solution

The logic here is

42 = 21 x 2

105 = 21 x 5

42 and 105 are 2nd and 5th multiple of 21.

Similarly,

38 = 19 x 2

38 is the 2nd multiple of 19. So the required number is 5th multiple of 19.

$$\therefore\ $$The required number = 19 x 5 = 95

Hence, the correct answer is Option C


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