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.)
(2, 5, 341)
(1, 7, 510)
Option 1: (8, 2, 140)
Option 2: (1, 2, 25)
Option 3: (2, 5, 56)
Option 4: (3, 6, 64)
Correct Answer: (1, 2, 25)
Solution :
Given:
(2, 5, 341); (1, 7, 510)
Add the first two numbers, then find its cube, and then subtract 2 from the cube to obtain the third number.
(2, 5, 341)→(2 + 5) = (7)
3
= 343 – 2 = 341
(1, 7, 510)→(1 + 7) = (8)
3
= 512 – 2 = 510
Let's check each option –
First option:
(8, 2, 140)→(8 + 2)
3
= (10)
3
= 1000 – 2 = 998
≠ 140
Second option:
(1, 2, 25)→(1 + 2)
3
= (3)
3
= 27 – 2 = 25
Third option:
(2, 5, 56)→(2 + 5)
3
= (7)
3
= 343 – 2 = 341
≠ 56
Fourth option:
(3, 6, 64)→(3 + 6)
3
= (9)
3
= 729 – 2 = 727
≠ 64
So, (1, 2, 25) follows the same pattern. Hence, the second option is correct.
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