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Question : Directions: Select the triad from the below options that have the same analogy as the following triads.
(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.)
6 : 36 : 216
17 : 289 : 4913

Option 1: 22 : 440 : 9000

Option 2: 21 : 400 : 9200

Option 3: 21 : 441 : 9261

Option 4: 22 : 400 : 9999


Team Careers360 16th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: 21 : 441 : 9261


Solution : Given:
(6 : 36 : 216); (17 : 289 : 4913)

In the above-given triads, the second and third numbers are equal to the square and cube of the first number.
6 : 36 : 216→6; (6) 2 = 36; (6) 3 = 216
17 : 289 : 4913→17; (17) 2 = 289; (17) 3 = 4913
Let's check the options –
First option: 22 : 440 : 9000→22; (22) 2 = 484
≠ 440 ; (22) 3 = 10648 ≠ 9000
Second option: 21 : 400 : 9200→21; (21) 2 = 441
≠ 400 ; (21) 3 = 9261 ≠ 9200
Third option: 21 : 441 : 9261→21; (21) 2 = 441; (21) 3 = 9261
Fourth option: 22 : 400 : 9999→22; (22) 2 = 484
≠ 400 ; (22) 3 = 10648 ≠ 9999

So, only the third option follows the pattern of the given triads. Hence, the third option is correct.

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