Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 are not allowed.)
(11, 64, 3)
(17, 36, 11)

Correct option is A

Given:

​(11, 64, 3)
(17, 36, 11)

Logic:(First Number) - $$(\sqrt{\text{Second\ Number}})$$ = (Third Number)

Solution:

Set(1).  (11, 64, 3)

11- 8 = 3

3= 3 (LHS=RHS)

Set (2). (17, 36, 11)

17- 6 = 11

11=11 (LHS=RHS)

Apply the same relationship to the options

Option (a)

​(24, 169, 11)

24 - 13= 11

11= 11 (LHS=RHS)

Option (b)

​(26, 56, 8)

26- 7.48= 8

18.52=8(LHS$$\neq$$​RHS)

Option (c)

(30, 49, 11)

30 - 7 = 11

23=11(LHS$$\neq$$RHS)

Option (d)

(21, 144, 32)

21- 12= 32

9 = 32 (LHS$$\neq$$RHS)

Here, in (24, 169, 11) similar Concept is followed.

The correct answer is (a).

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