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Question : Directions: Select the option in which the numbers share the same relationship as that shared by the given pair of numbers.
(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.)
3 : 83
7 : 2403

Option 1: 5 : 629

Option 2: 6 : 1200

Option 3: 2 : 18

Option 4: 4 : 250


Team Careers360 2nd Jan, 2024
Answer (1)
Team Careers360 15th Jan, 2024

Correct Answer: 2 : 18


Solution : Given:
3 : 83; 7 : 2403

Find the power 4 of the first number and then add 2 to obtain the second number in the given set of numbers –
⇒ 3 : 83→3 4 + 2 = 81 + 2 = 83
⇒ 7 : 2403→7 4 + 2 = 2401 + 2 = 2403

Let's check the options –

First option: 5 : 629→5 4 + 2 = 625 + 2 = 627 ≠ 629
Second option: 6 : 1200→6 4 + 2 = 1296 + 2 = 1298 ≠ 1200
Third option: 2 : 18→2 4 + 2 = 16 + 2 = 18
Fourth option: 4 : 250→4 4 + 2 = 256 + 2 = 258 ≠ 250

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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