Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set.
(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, 8, 4); (256, 12, 4)
Option 1: (324, 16, 3)
Option 2: (400, 16, 4)
Option 3: (225, 7, 6)
Option 4: (121, 7, 5)
Correct Answer: (400, 16, 4)
Solution :
Given:
(144, 8, 4); (256, 12, 4)
Here, (144, 8, 4)→(8 + 4)
2
= (12)
2
= 144
(256, 12, 4)→(12 + 4)
2
= (16)
2
= 256
Let’s check the options –
First option:
(324, 16, 3)→(16 + 3)
2
= (19)
2
= 361 ≠ 324
Second option:
(400, 16, 4)→(16 + 4)
2
= (20)
2
= 400
Third option:
(225, 7, 6)→(7 + 6)
2
= (13)
2
= 169 ≠ 225
Fourth option:
(121, 7, 5)→(7 + 5)
2
= (12)
2
= 144 ≠ 121
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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