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.)
(6, 15,1)
(5, 6, 3)
Option 1: (12, 46, 5)
Option 2: (7, 42, 5)
Option 3: (5, 32, 7)
Option 4: (15, 21, 8)
Correct Answer: (15, 21, 8)
Solution :
Given:
(6, 15, 1); (5, 6, 3)
The third number is subtracted from the first number and the resultant is multiplied by 3 to obtain the middle number.
(6, 15, 1)→6 – 1 = 5; 5 × 3 = 15
(5, 6, 3)→5 – 3 = 2; 2 × 3 = 6
Let's check each option –
First option:
(12, 46, 5)→12 – 5 = 7; 7 × 3 = 21
≠ 46
Second option:
(7, 42, 5)→7 – 5 = 2; 2 × 3 = 6
≠ 42
Third option:
(5, 32, 7)→5 – 7 = –2; –2 × 3 = –6
≠ 32
Fourth option:
(15, 21, 8)→15 – 8 = 7; 7 × 3 = 21
So, the set of numbers given in the fourth option follows the same pattern. Hence, the fourth option is correct.
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