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what should come in place of question ma...

what should come in place of question mark (?) in the following questions?
`?/(529) = (324)/?`

A

404

B

408

C

410

D

414

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( \frac{?}{529} = \frac{324}{?} \), we will follow these steps: ### Step 1: Cross-Multiply We start by cross-multiplying the equation to eliminate the fractions. This gives us: \[ ? \times ? = 324 \times 529 \] This can be rewritten as: \[ ?^2 = 324 \times 529 \] ### Step 2: Calculate the Right Side Next, we need to calculate \( 324 \times 529 \). We can break this down: - First, we find the square roots of 324 and 529: - \( \sqrt{324} = 18 \) - \( \sqrt{529} = 23 \) Thus, we can express the multiplication as: \[ ?^2 = (18 \times 23)^2 \] ### Step 3: Take the Square Root Now, we take the square root of both sides: \[ ? = 18 \times 23 \] ### Step 4: Calculate the Final Value Now we compute \( 18 \times 23 \): \[ 18 \times 23 = 414 \] ### Conclusion Therefore, the value of the question mark (?) is: \[ ? = 414 \] ### Final Answer The answer is \( 414 \).
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