Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their 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.)
(144, 9, 3)
(225, 7, 8)
Option 1: (168, 5, 8)
Option 2: (64, 5, 3)
Option 3: (81, 6, 2)
Option 4: (120, 7, 4)
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Correct Answer: (64, 5, 3)
Solution :
Given:
(144, 9, 3); (225, 7, 8)
The square of the sum of the second and third numbers is equal to the first number –
⇒ (144, 9, 3)→(9 + 3)
2
= 12
2
; 12
2
= 144
⇒ (225, 7, 8)→(7 + 8)
2
= 15
2
; 15
2
= 225
Let's check each option –
First option:
(168, 5, 8)→(5 + 8)
2
= 13
2
= 169 ≠ 168
Second option:
(64, 5, 3)→(5 + 3)
2
= 8
2
= 64
Third option:
(81, 6, 2)→(6 + 2)
2
= 8
2
= 64 ≠ 81
Fourth option:
(120, 7, 4)→(7 + 4)
2
= 11
2
= 121 ≠ 120
So, only the second option follows the same pattern as followed by the given set of numbers. Hence, the second option is correct.
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