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 is NOT allowed)

(63, 81, 7)

(84, 49, 12)

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 4)

Answer 1

Logic : (1st number ÷ 3rd number)²= 2nd number

Given :

\((63 \div 7)^2 \) = 81

\((9)^2 \) = 81

81 = 81 (LHS = RHS)

\((84 \div 12)^2 \) = 49

\((7)^2\) = 49

49 = 49 (LHS = RHS)

So,

\((99 \div 9)^2 \) = 121

\((11)^2 \) = 121

121 = 121 (LHS = RHS)

\((76 \div 12)^2 \) = 234

\((6.33)^2 \) = 234

40 ≠ 234 (LHS ≠ RHS)

\((12 \div 56)^2 \) = 125

\((0.21)^2 \) = 125

0.0441 ≠ 125 (LHS ≠ RHS)

\((78 \div 56)^2 \) = 14

\((1.39)^2 \) = 14

1.93 ≠ 14 (LHS ≠ RHS)

Hence, "Option - (1)" is the correct answer.