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Question : The product of two positive integers is 2048, and one of them is twice the other. The smaller number is:

Option 1: 32

Option 2: 64

Option 3: 16

Option 4: 1024


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: 32


Solution : Given:
1st number is twice of the 2nd number.
Let the two numbers be $x$ and $2x$ respectively.
According to the question,
$x\times 2x = 2048$
⇒ $2x^{2} = 2048$
⇒ $x^{2} = \frac{2048}{2} = 1024$
⇒ $x = \sqrt{1024} = 32$
So, the smaller number is 32.
Hence, the correct answer is 32.

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