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, 74)
(5, 18)
Option 1: (8, 27)
Option 2: (20, 364)
Option 3: (13, 162)
Option 4: (14, 106)
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Correct Answer: (13, 162)
Solution :
Given:
(9, 74); (5, 18)
Subtract 7 from the square of the first number to obtain the second number –
(9, 74)→9
2
– 7 = 81 – 7 = 74
(5, 18)→5
2
– 7 = 25 – 7 = 18
Let's check the options –
First option:
(8, 27)→8
2
– 7 = 64 – 7 = 57 ≠ 27
Second option:
(20, 364)→20
2
– 7 = 400 – 7 = 393 ≠ 364
Third option:
(13, 162)→13
2
– 7 = 169 – 7 = 162
Fourth option:
(14, 106)→14
2
– 7 = 196 – 7 = 189 ≠ 106
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.
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