Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given 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.)
(15, 13, 56)
(17, 11, 168)
Option 1: (22, 16, 238)
Option 2: (23, 21, 78)
Option 3: (15, 11, 114)
Option 4: (20, 14, 204)
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Correct Answer: (20, 14, 204)
Solution :
Given:
(15, 13, 56); (17, 11, 168)
Multiply the sum of the first two numbers with the difference of the first two numbers, to get the third number –
(15, 13, 56)→(15 + 13) × (15 – 13) = 28 × 2 = 56
(17, 11, 168)→(17 + 11) × (17 – 11) = 28 × 6 = 168
Let's check each option –
First option:
(22, 16, 238)→(22 + 6) × (22 – 16) = 28 × 6 = 168 ≠ 238
Second option:
(23, 21, 78)→(23 + 21) × (23 – 21) = 44 × 2 = 88 ≠ 78
Third option:
(15, 11, 114)→(15 + 11) × (15 – 11) = 26 × 4 = 104 ≠ 114
Fourth option:
(20, 14, 204)→(20 + 14) × (20 – 14) = 34 × 6 = 204
So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.
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