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What approximate value will come in plac...

What approximate value will come in place of question mark (?) in the following questions
`(15.98)^(3) + 9320 div 7.99 - 7304.8 div 4.99 = ?`

A

3750

B

3800

C

3600

D

3690

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( (15.98)^3 + \frac{9320}{7.99} - \frac{7304.8}{4.99} = ? \), we will follow these steps: ### Step 1: Approximate the Values First, we will approximate the numbers to make calculations easier: - \( 15.98 \approx 16 \) - \( 7.99 \approx 8 \) - \( 7304.8 \approx 7305 \) - \( 4.99 \approx 5 \) So, the equation simplifies to: \[ (16)^3 + \frac{9320}{8} - \frac{7305}{5} \] ### Step 2: Calculate \( (16)^3 \) Now, we calculate \( (16)^3 \): \[ (16)^3 = 16 \times 16 \times 16 = 256 \times 16 = 4096 \] ### Step 3: Calculate \( \frac{9320}{8} \) Next, we calculate \( \frac{9320}{8} \): \[ \frac{9320}{8} = 1165 \] ### Step 4: Calculate \( \frac{7305}{5} \) Now, we calculate \( \frac{7305}{5} \): \[ \frac{7305}{5} = 1461 \] ### Step 5: Combine the Results Now we combine all the results: \[ 4096 + 1165 - 1461 \] ### Step 6: Perform the Addition and Subtraction First, add \( 4096 \) and \( 1165 \): \[ 4096 + 1165 = 5261 \] Then, subtract \( 1461 \): \[ 5261 - 1461 = 3800 \] ### Final Answer Thus, the approximate value that comes in place of the question mark (?) is: \[ \boxed{3800} \] ---
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ADDA247-NUMBER SYSTEM, SIMPLIFICATION AND APPROXIMATION -PRELIMS QUESTIONS (LEVEL - 2)
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