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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)
`(11.01 + 12.97) xx (1)/(7.99) + 5.956 = 18 - ?`

A

15

B

13

C

5

D

9

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( (11.01 + 12.97) \times \frac{1}{7.99} + 5.956 = 18 - ? \), we will approximate the values and find the value of the question mark step by step. ### Step 1: Approximate the values - Round \( 11.01 \) to \( 11 \) - Round \( 12.97 \) to \( 13 \) - Round \( 7.99 \) to \( 8 \) - Round \( 5.956 \) to \( 6 \) ### Step 2: Rewrite the equation with approximated values Now, substituting the approximated values into the equation: \[ (11 + 13) \times \frac{1}{8} + 6 = 18 - ? \] ### Step 3: Simplify the left side Calculate \( 11 + 13 \): \[ 24 \times \frac{1}{8} + 6 = 18 - ? \] ### Step 4: Perform the multiplication Now, calculate \( 24 \times \frac{1}{8} \): \[ 3 + 6 = 18 - ? \] ### Step 5: Combine the terms on the left side Now, add \( 3 + 6 \): \[ 9 = 18 - ? \] ### Step 6: Solve for the question mark Rearranging gives: \[ ? = 18 - 9 \] \[ ? = 9 \] ### Final Answer The approximate value that will come in place of the question mark is \( 9 \). ---
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ADDA247-NUMBER SYSTEM, SIMPLIFICATION AND APPROXIMATION -PRELIMS QUESTIONS (LEVEL - 2)
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