Question

Which number should replace both the question marks in the following equation? \(\frac{?}{492}\)=\(\frac{123}{?}\)

• A. 252
• B. 248
• C. 244
• D. 242
• E. None of these

Answer 1

Answer: (E)

To find the number that should replace both question marks, let's set up the equation:
\(\frac{?}{492}\)=\(\frac{123}{?}\)
Now, cross-multiply: ? * ? = 123 * 492
We need to find two numbers whose product is 123 * 492.
You can calculate this product: 123 * 492 = 60,396
Now, find the square root of 60,396: √60,396 ≈ 245.74
So, the number that should replace both question marks is approximately 245.74.
However, since the options are integers, we should look for the closest integer to 245.74.
The closest integer is 246.
Therefore, the number that should replace both question marks is 246.
The Correct option is(E)