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.)
8, 108
14, 186
Option 1: 5, 73
Option 2: 11, 147
Option 3: 16, 204
Option 4: 9, 107
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Correct Answer: 11, 147
Solution :
Given:
8, 108; 14, 186
In the above-given pairs, multiply the first number by 13 and add 4 to the resultant to get the second number of the pair –
8, 108→8 × 13 = 104; 104 + 4 = 108
14, 186→14 × 13 = 182; 182 + 4 = 186
Let's check each option –
First option:
5, 73→5 × 13 = 65; 65 + 4 = 69 ≠ 73
Second option:
11, 147→11 × 13 = 143; 143 + 4 = 147
Third option:
16, 204→16 × 13 = 208; 208 + 4 = 212 ≠ 204
Fourth option:
9, 107→9 × 13 = 117; 117 + 4 = 121 ≠ 107
So, only the second option follows the same pattern as followed by the given pairs. Hence, the second option is correct.
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