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.)
(7, 5, 16)
(12, 10, 36)
Option 1: (10, 9, 144)
Option 2: (9, 8, 12)
Option 3: (8, 7, 59)
Option 4: (8, 7, 7)
Correct Answer: (8, 7, 7)
Solution :
Given:
(7, 5, 16); (12, 10, 36)
Here, (7, 5, 16)→((7)
2
– (5)
2
) – 8 = (49 – 25) – 8 = 24 – 8 = 16
(12, 10, 36)→((12)
2
– (10)
2
) – 8 = (144 – 100) – 8 = 44 – 8 = 136
Let's check the given options –
First option:
(10, 9, 144); ((10)
2
– (9)
2
) – 8 = (100 – 81) – 8 = 19 – 8 = 7 ≠ 144
Second option:
(9, 8, 12); ((9)
2
– (8)
2
) – 8 = (81 – 64) – 8 = 17 – 8 = 9 ≠ 12
Third option:
(8, 7, 59); ((8)
2
– (7)
2
) – 8 = (64 – 49) – 8 = 15 – 8 = 7 ≠ 59
Fourth option:
(8, 7, 7); ((8)
2
– (7)
2
) – 8 = (64 – 49) – 8 = 15 – 8 = 7 = 7
So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.
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