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.)
(4, 3, 49)
(5, 4, 81)
Option 1: (6, 2, 36)
Option 2: (5, 4, 100)
Option 3: (7, 5, 121)
Option 4: (6, 5, 121)
Correct Answer: (6, 5, 121)
Solution :
Given:
(4, 3, 49); (5, 4, 81)
In the above-given sets, add the first and second numbers and then find the square of the result to obtain the third number.
(4, 3, 49)→4 + 3 = 7; 7
2
= 49
(5, 4, 81)→5 + 4 = 9; 9
2
= 81
Let's check the options –
First option:
(6, 2, 36)→6 + 2 = 8; 8
2
= 64
≠
36
Second option:
(5, 4, 100)→5 + 4 = 9; 9
2
= 81
≠
100
Third option:
(7, 5, 121)→7 + 5 = 12; 12
2
= 144
≠
121
Fourth option:
(6, 5, 121)→6 + 5 = 11; 11
2
= 121
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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