Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets.
(12, 7, 1385); (19, 15, 3484)
(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.)
Option 1: (17, 15, 1550)
Option 2: (11, 7, 955)
Option 3: (21, 16, 5165)
Option 4: (16, 14, 1321)
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Correct Answer: (21, 16, 5165)
Solution :
Given:
(12, 7, 1385); (19, 15, 3484)
In the given sets, subtract the cubes of the second number from the first number to get the third number.
(12, 7, 1385)→12
3
– 7
3
= 1728 – 343 = 1385
(19, 15, 3484)→19
3
– 15
3
= 6859 – 3375 = 3484
Let's check the options –
First option:
(17, 15, 1550)→17
3
– 15
3
= 4913 – 3375 = 1538 ≠ 1550
Second option:
(11, 7, 955)→11
3
– 7
3
= 1331 – 343 = 988 ≠ 955
Third option:
(21, 16, 5165)→21
3
– 16
3
= 9261 – 4096 = 5165
Fourth option:
(16, 14, 1321)→16
3
– 14
3
= 4096 – 2744 = 1352 ≠ 1321
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.
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