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What approximate value will come in plac...

What approximate value will come in place of question mark(?)in given questions
`40%of249div4+?=6.999^2`

A

24

B

12

C

42

D

56

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 40\% \text{ of } 249 \div 4 + ? = 6.999^2 \), we will follow these steps: ### Step 1: Calculate \( 6.999^2 \) First, we approximate \( 6.999 \) to \( 7 \) for simplicity. \[ 7^2 = 49 \] ### Step 2: Calculate \( 40\% \text{ of } 249 \) To find \( 40\% \) of \( 249 \), we can convert \( 40\% \) to a fraction: \[ 40\% = \frac{40}{100} = 0.4 \] Now, we multiply \( 0.4 \) by \( 249 \): \[ 0.4 \times 249 \approx 0.4 \times 250 = 100 \] ### Step 3: Divide the result by \( 4 \) Next, we divide \( 100 \) by \( 4 \): \[ 100 \div 4 = 25 \] ### Step 4: Set up the equation Now we can substitute back into the equation: \[ 25 + ? = 49 \] ### Step 5: Solve for \( ? \) To find \( ? \), we subtract \( 25 \) from \( 49 \): \[ ? = 49 - 25 = 24 \] ### Final Answer Thus, the approximate value that will come in place of the question mark \( ? \) is \( 24 \). ---
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