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.)
(125, 2, 3)
(512, 5, 3)
Option 1: (1782, 8, 6)
Option 2: (1000, 7, 3)
Option 3: (343, 5, 3)
Option 4: (216, 4, 3)
Correct Answer: (1000, 7, 3)
Solution :
Given:
(125, 2, 3); (512, 5, 3)
Determine the cube of the sum of the second and third numbers, to obtain the first number –
(125, 2, 3)→(2 + 3)
3
= 125
(512, 5, 3)→(5 + 3)
3
= 512
Let's check each option –
First option:
(1782, 8, 6)→(8 + 6)
3
= 2744 ≠ 1782
Second option:
(1000, 7, 3)→(7 + 3)
3
= 1000
Third option:
(343, 5, 3)→(5 + 3)
3
= 512 ≠ 343
Fourth option:
(216, 4, 3)→(4 + 3)
3
= 343 ≠ 216
So, only the second option follows the same pattern as the given set of numbers. Hence, the second option is correct.
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