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Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (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, 49, 343); (8, 64, 512)

Option 1: (6, 36, 206)

Option 2: (5, 25, 225)

Option 3: (11, 121, 1221)

Option 4: (9, 81, 729)


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: (9, 81, 729)


Solution : Given:
(7, 49, 343); (8, 64, 512)

The second number is the square of the first number and the third number is the cube of the first number –
(7, 49, 343)→(7) 2 = 49; (7) 3 = 343
(8, 64, 512)→(8) 2 = 64; (8) 3 = 512

Let's check the options –
First option: (6, 36, 206)→(6) 2 = 36; (6) 3 = 216 ≠ 206
Second option: (5, 25, 225)→(5) 2 = 25; (5) 3 = 125 ≠ 225
Third option: (11, 121, 1221)→(11) 2 = 121; (11) 3 = 1331 ≠ 1221
Fourth option: (9, 81, 729)→(9) 2 = 81; (9) 3 = 729

So, only the fourth option follows the same pattern as the given number pair. Hence, the fourth option is correct.

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