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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. (You are not expected to calculate the exact value)
`41.979 xx (22)/(7) + 19.989%"of 530.014" - 26.021 = ?`

A

244

B

198

C

236

D

212

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 41.979 \times \frac{22}{7} + 19.989\% \text{ of } 530.014 - 26.021 = ? \) approximately, we can follow these steps: ### Step 1: Approximate the first term We start with the term \( 41.979 \times \frac{22}{7} \). - We can approximate \( 41.979 \) to \( 42 \). - The fraction \( \frac{22}{7} \) is approximately \( 3.14 \) (which is the value of \(\pi\)), but for simplification, we can use \( \frac{22}{7} \approx 3 \). So, we have: \[ 42 \times 3 \approx 126 \] ### Step 2: Approximate the second term Next, we approximate \( 19.989\% \text{ of } 530.014 \). - We can approximate \( 19.989\% \) to \( 20\% \). - The value \( 530.014 \) can be approximated to \( 530 \). Now, we calculate \( 20\% \text{ of } 530 \): \[ 20\% \text{ of } 530 = \frac{20}{100} \times 530 = 106 \] ### Step 3: Approximate the third term Now, we approximate the last term \( -26.021 \). - We can approximate \( -26.021 \) to \( -26 \). ### Step 4: Combine all the approximated values Now we combine all the approximated values: \[ 126 + 106 - 26 \] Calculating this step-by-step: 1. \( 126 + 106 = 232 \) 2. \( 232 - 26 = 206 \) ### Step 5: Final approximation The final result is approximately \( 206 \). ### Conclusion Thus, the approximate value that will come in place of question mark (?) is \( 206 \).
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ADDA247-NUMBER SYSTEM, SIMPLIFICATION AND APPROXIMATION -PRELIMS QUESTIONS (LEVEL - 2)
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