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.)
(10, 6, 32)
(20, 8, 56)
Option 1: (20, 16, 64)
Option 2: (12, 14, 54)
Option 3: (18, 12, 60)
Option 4: (14, 18, 60)
Correct Answer: (18, 12, 60)
Solution :
Given:
(10, 6, 32); (20, 8, 56)
Multiply the sum of the first two numbers by 2, to get the third number –
(10, 6, 32)→(10 + 6) × 2 = 16 × 2 = 32
(20, 8, 56)→(20 + 8) × 2 = 28 × 2 = 56
Let’s check the options –
First option:
(20, 16, 64)→(20 + 16) × 2 = 36 × 2 = 72 ≠ 64
Second option:
(12, 14, 54)→(12 + 14) × 2 = 26 × 2 = 52 ≠ 54
Third option:
(18, 12, 60)→(18 + 12) × 2 = 30 × 2 = 60
Fourth option:
(14, 18, 60)→(14 + 18) × 2 = 32 × 2 = 64 ≠ 60
So, only the third option follows the same pattern as the given number pair. Hence, the third option is correct.
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