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.)
(12, 125, 17)
( 8, 27, 11)
Option 1: (11, 32, 15)
Option 2: (19, 216, 25)
Option 3: (17, 16, 19)
Option 4: (9, 216, 16)
Correct Answer: (19, 216, 25)
Solution :
Given:
(12, 125, 17); ( 8, 27, 11)
Subtract the first number from the third number, and then cube the resultant, to get the second number –
⇒ (12, 125, 17)→(17 – 12)
3
= 5
3
= 125
⇒ (8, 27, 11)→(11 – 8)
3
= 3
3
= 27
Let's check each option –
First option:
(11, 32, 15)→(15 – 11)
3
= 4
3
= 64 ≠ 32
Second option:
(19, 216, 25)→(25 – 19)
3
= 6
3
= 216
Third option:
(17, 16, 19)→(19 – 17)
3
= 2
3
= 8 ≠ 16
Fourth option:
(9, 216, 16)→(16 – 9)
3
= 7
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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