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.)
(20, 6, 4)
(24, 7, 5)
Option 1: (65, 9, 4)
Option 2: (22, 5, 2)
Option 3: (40, 8, 5)
Option 4: (42, 7, 3)
Correct Answer: (65, 9, 4)
Solution :
Given:
(20, 6, 4), (24, 7, 5)
Subtract the square of the third number from the second number and the result is equal to the first number –
⇒ (20, 6, 4)→6
2
– 4
2
= 36 – 16 = 12
⇒ (24, 7, 5)→7
2
– 5
2
= 49 – 25 = 24
Let's check each option –
First option:
(65, 9, 4)→9
2
– 4
2
= 81 – 16 = 65
Second option:
(22, 5, 2)→5
2
– 2
2
= 25 – 4 = 21 ≠ 22
Third option:
(40, 8, 5)→8
2
– 5
2
= 64 – 25 = 39 ≠ 40
Fourth option:
(42, 7, 3)→7
2
– 3
2
= 49 – 9 = 40 ≠ 42
So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.
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