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
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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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