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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.)
(25, 13, 130)
(49, 32, 448)

Option 1: (36, 12, 144)

Option 2: (16, 48, 196)

Option 3: (64, 16, 96)

Option 4: (100, 10, 1000)


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

Correct Answer: (36, 12, 144)


Solution : Given:
(25, 13, 130); (49, 32, 448)

Multiply twice the second number with the square root of the first number, to get the third number –
(25, 13, 130)→ (√ 25) × 13 × 2 = 5 × 13 × 2 = 130
(49, 32, 448)→ (√ 49) × 32 × 2 = 7 × 32 × 2 = 448

Let's check the options –
First option: (36, 12, 144)→ (√ 36) × 12 × 2 = 6 × 12 × 2 = 144
Second option: (16, 48, 196)→ (√ 16) × 48 × 2 = 4 × 48 × 2 = 384 ≠ 196
Third option: (64, 16, 96)→ (√ 64) × 16 × 2 = 8 × 16 × 2 = 256 ≠ 96
Fourth option: (100, 10, 1000)→ (√ 100) × 10 × 2 = 10 × 10 × 2 = 200 ≠ 1000.

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

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