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 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.)
(9, 3, 90)
(5, 4, 41)
Option 1: (13, 7, 218)
Option 2: (7, 8, 117)
Option 3: (11, 8, 182)
Option 4: (4,12,162)
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Correct Answer: (13, 7, 218)
Solution :
Given:
(9, 3, 90); (5, 4, 41)
Add the squares of the first two numbers to obtain the third number —
⇒ (9, 3, 90)→9
2
+ 3
2
= 81 + 9 = 90
⇒ (5, 4, 41)→5
2
+ 4
2
= 25 + 16 = 41
Let's check the options —
First option:
(13, 7, 218)→13
2
+ 7
2
= 169 + 49 = 218
Second option:
(7, 8,117)→7
2
+ 8
2
= 49 + 64 = 113 ≠ 117
Third option:
(11, 8,182)→11
2
+ 8
2
= 121 + 64 = 185 ≠ 182
Fourth option:
(4,12,162)→4
2
+ 12
2
= 16 + 144 = 160 ≠ 162
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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