Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets.
(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, 3, 35)
(11, 6, 1547)
Option 1: (4, 15, 3439)
Option 2: (10, 9, 1730)
Option 3: (7, 8, 2565)
Option 4: (3, 12, 1296)
Correct Answer: (4, 15, 3439)
Solution :
Given:
(2, 3, 35); (11, 6, 1547)
In the given set of numbers, the sum of the cube of the first and second numbers is equal to the third number –
(2, 3, 35)→(2
3
+ 3
3
) = 8 + 27 = 35
(11, 6, 1547)→(11
3
+ 6
3
) = 1331 + 216 = 1547
Let's check each option –
First option:
(4, 15, 3439)→(4
3
+ 15
3
) = 64 + 3375 = 3439
Second option:
(10, 9, 1730)→(10
3
+ 9
3
) = 1000 + 729 = 1729 ≠ 1730
Third option:
(7, 8, 2565)→(7
3
+ 8
3
) = 343 + 512 = 855 ≠ 2565
Fourth option:
(3, 12, 1296)→(3
3
+ 12
3
) = 27 + 1728 = 1755 ≠ 1296
So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.
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