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.)
(17, 35, 72)
(13, 27, 56)
Option 1: (11, 24, 50)
Option 2: (15, 31, 64)
Option 3: (18, 36, 110)
Option 4: (12, 25, 50)
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Correct Answer: (15, 31, 64)
Solution :
Given:
(17, 35, 72); (13, 27, 56)
Multiply the first number by 2 and add 1 to the resultant, to get the second number. Multiply the second number by 2 and add 2 to the resultant, to get the third number –
(17, 35, 72)→(17 × 2) + 1 = 34 + 1 = 35; (35 × 2) + 2 = 70 + 2 = 72
(13, 27, 56)→(13 × 2) + 1 = 26 + 1 = 27; (27 × 2) + 2 = 54 + 2 = 56
Let's check the options –
First option:
(11, 24, 50)→(11 × 2) + 1 = 22 + 1 = 23 ≠ 24; (24 × 2) + 2 = 48 + 2 = 50
Second option:
(15, 31, 64)→(15 × 2) + 1 = 30 + 1 = 31; (31 × 2) + 2 = 62 + 2 = 64
Third option:
(18, 36, 110)→(18 × 2) + 1 = 36 + 1 = 37 ≠ 36; (36 × 2) + 2 = 72 + 2 = 74 ≠ 110
Fourth option:
(12, 25, 50)→(12 × 2) + 1 = 24 + 1 = 25; (25 × 2) + 2 = 50 + 2 = 52 ≠ 50
So, only the second option follows the logic as followed by the given set of numbers. Hence, the second option is correct.
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