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 set. (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.)
(13, 14, 108)
(51, 12, 252)
Option 1: (17, 14, 134)
Option 2: (29, 14, 172)
Option 3: (19, 26, 160)
Option 4: (33, 42, 280)
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Correct Answer: (29, 14, 172)
Solution :
Given:
(13, 14, 108); (51, 12, 252)
Multiply the sum of the first and second numbers by 4, to get the third number –
(13, 14, 108)→(13 + 14) × 4 = 27 × 4 = 108
(51, 12, 252)→(51 + 12) × 4 = 63 × 4 = 252
Let's check the given options –
First option:
(17, 14, 134); (17 + 14) × 4 = 31 × 4 = 124 ≠ 134
Second option:
(29, 14, 172); (29 + 14) × 4 = 43 × 4 = 172
Third option:
(19, 26, 160); (19 + 26) × 4 = 45 × 4 = 180 ≠ 160
Fourth option:
(33, 42, 280); (33 + 42) × 4 = 75 × 4 = 300 ≠ 280
So, only the second option follows the same relation as the given set of numbers. Hence, the second option is correct.
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