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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.)
(144, 8, 4); (256, 12, 4)

Option 1: (324, 16, 3)

Option 2: (400, 16, 4)

Option 3: (225, 7, 6)

Option 4: (121, 7, 5)


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

Correct Answer: (400, 16, 4)


Solution : Given:
(144, 8, 4); (256, 12, 4)

Here, (144, 8, 4)→(8 + 4) 2 = (12) 2 = 144
(256, 12, 4)→(12 + 4) 2 = (16) 2 = 256

Let’s check the options –
First option: (324, 16, 3)→(16 + 3) 2 = (19) 2 = 361 ≠ 324
Second option: (400, 16, 4)→(16 + 4) 2 = (20) 2 = 400
Third option: (225, 7, 6)→(7 + 6) 2 = (13) 2 = 169 ≠ 225
Fourth option: (121, 7, 5)→(7 + 5) 2 = (12) 2 = 144 ≠ 121

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

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