Question

(Image) Q.13
Please also explain

Answer 1

Answer:

Let the number be n:

2/3 n × 3/4 n = 338

n^2/2 = 338

n^2 = 676

n = √676

n = 26

Answer 2

Answer:

2X/3 × 3X/4 = 338

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X×X /2 = 338

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X×X = 338×2 = 676

X^2 = 676

X= squareroot(676)

X= 26 or -26.

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Hence, the number is +-26. Option d is the answer.

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Alternative approach:

Take each option one- by- one and check for the result.

option a: 2×18/3 × 3×18/4 = 12×13.5 not equal to 338. wrong option.

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option d: 2x26/3 × 3×26/4 = 26×26/2 = 338. correct option.