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.)
(7, 21, 343)
(8, 24, 512)
Option 1: (8, 50, 512)
Option 2: (5, 10, 225)
Option 3: (11, 66, 1331)
Option 4: (9, 27, 729)
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Correct Answer: (9, 27, 729)
Solution :
Given:
(7, 21, 343); (8, 24, 512)
Multiply the first number by 3, to obtain the second number and find the cube of the first number, to obtain the third number in the given set of numbers –
⇒ (7, 21, 343)→7 × 3 = 21 and 7
3
= 343
⇒ (8, 24, 512)→8 × 3 = 24 and 8
3
= 512
Let's check the options –
First option:
(8, 50, 512)→8 × 3 = 24 ≠ 50 and 8
3
= 512
Second option:
(5, 10, 225)→5 × 3 = 15 ≠ 10 and 5
3
= 125 ≠ 225
Third option:
(11, 66, 1331)→11 × 3 = 33 ≠ 66 and 11
3
= 1331
Fourth option:
(9, 27, 729)→9 × 3 = 27 and 9
3
= 729
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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