Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following 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.)
(17, 34, 68)
(24, 48, 96)
Option 1: (31, 62, 106)
Option 2: (26, 52, 156)
Option 3: (29, 58, 116)
Option 4: (14, 42, 84)
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Correct Answer: (29, 58, 116)
Solution :
Given:
(17, 34, 68); (24, 48, 96)
Multiply the first number by 2, to get the second number and multiply the first number by 4, to get the third number –
(17, 34, 68)→17 × 2 = 34; 17 × 4 = 68
(24, 48, 96)→24 × 2 = 48; 24 × 4 = 96
Let's check the options –
First option:
(31, 62, 106)→31 × 2 = 62; 31 × 4 = 124 ≠ 106
Second option:
(26, 52, 156)→26 × 2 = 52; 26 × 4 = 104 ≠ 156
Third option:
(29, 58, 116)→29 × 2 = 58; 29 × 4 = 116
Fourth option:
(14, 42, 84)→14 × 2 = 28 ≠ 42; 14 × 4 = 56 ≠ 84
So, only the third option follows the same logic as the given set of numbers. Hence, the third option is correct.