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.)
(4, 64, 4)
(5, 100, 5)
Option 1: (8, 256, 8)
Option 2: (6, 196, 6)
Option 3: (10, 200, 10)
Option 4: (25, 100, 4)
Correct Answer: (8, 256, 8)
Solution :
Given:
(4, 64, 4); (5, 100, 5)
Add the first and third numbers, and then square the resultant, to get the second number –
⇒ (4, 64, 4)→(4 + 4)
2
= 8
2
= 64
⇒ (5, 100, 5)→(5 + 5)
2
= 10
2
= 100
Let's check each option –
First option:
(8, 256, 8)→(8 + 8)
2
= 16
2
= 256
Second option:
(6, 196, 6)→(6 + 6)
2
= 12
2
= 144 ≠ 196
Third option:
(10, 200,10)→(10 + 10)
2
= 20
2
= 400 ≠ 200
Fourth option:
(25, 100, 4)→(25 + 4)
2
= 29
2
= 841 ≠ 100
So, only the first option follows the same pattern as the given set of numbers. Hence, the first option is correct.
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