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.)
(11, 121, 1331)
(13, 169, 2197)
Option 1: (9, 729, 81)
Option 2: (6, 36, 324)
Option 3: (5, 25, 625)
Option 4: (7, 49, 343)
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Correct Answer: (7, 49, 343)
Solution :
Given:
(11, 121, 1331); (13, 169, 2197)
Here, (11, 121, 1331)→(11)
2
= 121; (11)
3
= 1331
(13, 169, 2197)→(13)
2
= 169; (13)
3
= 2197
Let's check the options –
First option:
(9, 729, 81)→(9)
2
= 81 ≠ 729; (9)
3
= 729 ≠ 81
Second option:
(6, 36, 324)→(6)
2
= 36; (6)
3
= 216 ≠ 324
Third option:
(5, 25, 625)→(5)
2
= 25; (5)
3
= 125 ≠ 625
Fourth option:
(7, 49, 343)→(7)
2
= 49; (7)
3
= 343
So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.
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