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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.)
(4, 64, 4)
(5, 100, 5)

Option 1: (8, 256, 8)

Option 2: (6, 196, 6)

Option 3: (10, 200, 10)

Option 4: (25, 100, 4)


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

Correct Answer: (8, 256, 8)


Solution : Given:
(4, 64, 4); (5, 100, 5)

Add the first and third numbers, and then square the resultant, to get the second number –
⇒ (4, 64, 4)→(4 + 4) 2 = 8 2 = 64
⇒ (5, 100, 5)→(5 + 5) 2 = 10 2 = 100
Let's check each option –

First option: (8, 256, 8)→(8 + 8) 2 = 16 2 = 256
Second option: (6, 196, 6)→(6 + 6) 2 = 12 2 = 144 ≠ 196
Third option: (10, 200,10)→(10 + 10) 2 = 20 2 = 400 ≠ 200
Fourth option: (25, 100, 4)→(25 + 4) 2 = 29 2 = 841 ≠ 100

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

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