Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given 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.)
(19, 64, 11)
(27, 169, 14)
Option 1: (23, 110, 12)
Option 2: (20, 200, 8)
Option 3: (24, 99, 15)
Option 4: (22, 121, 11)
Correct Answer: (22, 121, 11)
Solution :
Given:
(19, 64, 11); (27, 169, 14)
Subtract the third number from the first number, and then square the resultant, to get the second number –
⇒ (19, 64, 11)→(19 – 11)
2
= 8
2
= 64
⇒ (27, 169, 14)→(27 – 14)
2
= 13
2
= 169
Let's check the options –
First option:
(23, 110, 12)→(23 – 12)
2
= 11
2
= 121 ≠ 110
Second option:
(20, 200, 8)→(20 – 8)
2
= 12
2
= 144 ≠ 200
Third option:
(24, 99, 15)→(24 – 15)
2
= 9
2
= 81 ≠ 99
Fourth option:
(22, 121, 11)→(22 – 11)
2
= 11
2
= 121
So, only the fourth option follows the same pattern as the given set of numbers. Hence, the fourth option is correct.
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