Question : Directions: In the following number pairs, the second number is obtained by applying certain mathematical operations to the first number. Select the option in which the numbers are related in the same way as the numbers of the following pairs.
(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.)
(9, 77)
(16, 252)
Option 1: (12, 132)
Option 2: (11, 117)
Option 3: (15, 125)
Option 4: (7, 54)
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Correct Answer: (11, 117)
Solution :
Given:
(9, 77); (16, 252)
In the above-given pairs, find the square of the first number then subtract 4 from the resultant, to obtain the second number.
(9, 77)→(9)
2
= 81; 81 – 4 = 77
(16, 252)→(16)
2
= 256; 256 – 4 = 252
Let's check the options –
First option:
(12, 132)→(12)
2
= 144; 144 – 4 = 140
≠ 132
Second option:
(11, 117)→(11)
2
= 121; 121 – 4 = 117
Third option:
(15, 125)→(15)
2
= 225; 225 – 4 = 221
≠ 125
Fourth option:
(7, 54)→(7)
2
= 49; 49 – 4 = 45
≠ 54
So, only the second option follows the pattern of the given pairs. Hence, the second option is correct.
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