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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.)
(8, 27, 125)
(64,1331, 1728)

Option 1: (289, 212,196)

Option 2: (200, 215, 256)

Option 3: (125, 172, 144)

Option 4: (216, 343, 512)


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

Correct Answer: (216, 343, 512)


Solution : Given:
(8, 27,125); (64,1331,1728)

The first, second, and third number is a perfect cube number –
⇒ (8, 27,125)→8 = 2 3 ; 27 = 3 3 ;125 = 5 3
⇒ (64,1331,1728)→64 = 4 3 ; 1331 = 11 3 ; 1728 = 12 3

Let's check each option –
First option: (289, 212,196)→289 = 17 2 ; 212 = Not a perfect cube number; 196 = 14 2 ;
Second option: (200, 215, 256)→200 = Not a perfect cube number; 215 = Not a perfect cube number; 256 = Not a perfect cube number.
Third option: (125,172,144)→125 = 5 3 ; 172 = Not a perfect cube number; 144 = Not a perfect cube number.
Fourth option: (216, 343, 512)→216 = 6 3 ; 343 = 7 3 ; 512 = 8 3 ;

So, only the fourth option follows the same pattern as the given set of numbers. Hence, the fourth option is correct.

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