Question : Directions: In the following number pairs, the second number is obtained by applying certain mathematical operations to the first number. 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.)
(21, 66)
(32, 99)
Option 1: (25, 81)
Option 2: (36, 112)
Option 3: (45, 138)
Option 4: (24, 77)
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Correct Answer: (45, 138)
Solution :
Given:
(21, 66); (32, 99)
Multiply the first number by 3 and then add 3 to obtain the second number in the given set of numbers –
⇒ (21, 66)→(21 × 3) + 3 = 63 + 3 = 66
⇒ (32, 99)→(32 × 3) + 3 = 96 + 3 = 99
Let's check the options –
First option:
(25, 81)→(25 × 3) + 3 = 75 + 3 = 78 ≠ 81
Second option:
(36, 112)→(36 × 3) + 3 = 108 + 3 = 111 ≠ 112
Third option:
(45, 138)→(45 × 3) + 3 = 135 + 3 = 138
Fourth option:
(24, 77)→(24 × 3) + 3 = 72 + 3 = 75 ≠ 77
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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