Question : Directions: 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.)
(56, 5, 9)
(80, 8, 12)
Option 1: (172, 8, 15)
Option 2: (151, 4, 13)
Option 3: (143, 12, 18)
Option 4: (100, 11, 14)
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Correct Answer: (100, 11, 14)
Solution :
Given:
(56, 5, 9)
(80, 8, 12)
The second and the third number is added and the resultant is multiplied by 4 to obtain the first number.
(56, 5, 9)→56 = (5 + 9) × 4 = 14 × 4 = 56
(80, 8, 12)→80 = (8 + 12) × 4 = 20 × 4 = 80
Let's check the options –
First option:
(172, 8, 15) = (8 + 15) × 4 = 23 × 4 = 92 ≠ 172
Second option:
(151, 4, 13) = (4 + 13) × 4 = 17 × 4 = 68 ≠ 151
Third option:
(143, 12, 18) = (12 + 18) × 4 = 30 × 4 = 120 ≠ 143
Fourth option:
(100, 11, 14) = (11 + 14) × 4 = 25 × 4 = 100
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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