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.)
(12, 144, 1728)
(6, 36, 216)

Option 1: (11, 121, 1000)

Option 2: (14, 196, 2197)

Option 3: (10, 100, 1000)

Option 4: (8, 64, 729)


Team Careers360 25th Jan, 2024
Answer (1)
Team Careers360 27th Jan, 2024

Correct Answer: (10, 100, 1000)


Solution : Given:
(12, 144, 1728); (6, 36, 216)

Here, (12, 144, 1728)→(12) 2 = 144; (12) 3 = 1728
(6, 36, 216)→(6) 2 = 36; (6) 3 = 216

Let's check each option –
First option: (11, 121, 1000)→(11) 2 = 121; (11) 3 = 1331 ≠ 1000
Second option: (14, 196, 2197)→(14) 2 = 196; (14) 3 = 2744 ≠ 2197
Third option: (10, 100, 1000)→(10) 2 = 100; (10) 3 = 1000
Fourth option: (8, 64, 729)→(8) 2 = 64; (8) 3 = 512 ≠ 729

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

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