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.)
(2, 6, 8)
(117, 351, 468)
Option 1: (6, 19, 25)
Option 2: (4, 12, 16)
Option 3: (5, 12, 25)
Option 4: (7, 14, 23)
Correct Answer: (4, 12, 16)
Solution :
Given:
(2, 6, 8); (117, 351, 468)
In the given set of numbers, multiply the first number by three to obtain the second number and multiply the first number by four to obtain the third number.
(2, 6, 8)→2 × 3 = 6; 2 × 4 = 8
(117, 351, 468)→117 × 3 = 351; 117 × 4 = 468
Let's check each option –
First option:
(6, 19, 25)→6 × 3 = 18
≠
19; 6 × 4 = 24
≠ 25
Second option:
(4, 12, 16)→4 × 3 = 12; 4 × 4 = 16
Third option:
(5, 12, 25)→5 × 3 = 15
≠ 12
; 5 × 4 = 20
≠ 25
Fourth option:
(7, 14, 23)→7 × 3 = 21
≠ 14
; 7 × 4 = 28
≠ 23
So, only the second option follows the same pattern as followed by the given set of numbers. Hence, the second option is correct.
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