Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following 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.)
(7, 49, 343); (8, 64, 512)
Option 1: (6, 36, 206)
Option 2: (5, 25, 225)
Option 3: (11, 121, 1221)
Option 4: (9, 81, 729)
Correct Answer: (9, 81, 729)
Solution :
Given:
(7, 49, 343); (8, 64, 512)
The second number is the square of the first number and the third number is the cube of the first number –
(7, 49, 343)→(7)
2
= 49; (7)
3
= 343
(8, 64, 512)→(8)
2
= 64; (8)
3
= 512
Let's check the options –
First option:
(6, 36, 206)→(6)
2
= 36; (6)
3
= 216 ≠ 206
Second option:
(5, 25, 225)→(5)
2
= 25; (5)
3
= 125 ≠ 225
Third option:
(11, 121, 1221)→(11)
2
= 121; (11)
3
= 1331 ≠ 1221
Fourth option:
(9, 81, 729)→(9)
2
= 81; (9)
3
= 729
So, only the fourth option follows the same pattern as the given number pair. Hence, the fourth option is correct.
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