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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)
`995.013 - 39.976 xx 19.99 + 5.022 = 1.988 xx ?`

A

115

B

85

C

100

D

125

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 995.013 - 39.976 \times 19.99 + 5.022 = 1.988 \times ? \) and find the approximate value of the question mark (?), we will follow these steps: ### Step 1: Round off the values First, we round off the numbers to their nearest integers: - \( 995.013 \) rounds to \( 995 \) - \( 39.976 \) rounds to \( 40 \) - \( 19.99 \) rounds to \( 20 \) - \( 5.022 \) rounds to \( 5 \) - \( 1.988 \) rounds to \( 2 \) ### Step 2: Substitute the rounded values into the equation Now we substitute the rounded values into the equation: \[ 995 - 40 \times 20 + 5 = 2 \times ? \] ### Step 3: Perform the multiplication Next, we calculate \( 40 \times 20 \): \[ 40 \times 20 = 800 \] ### Step 4: Substitute back into the equation Now substitute this value back into the equation: \[ 995 - 800 + 5 = 2 \times ? \] ### Step 5: Simplify the left side Now simplify the left side: \[ 995 - 800 = 195 \] Then add \( 5 \): \[ 195 + 5 = 200 \] ### Step 6: Set up the equation Now we have: \[ 200 = 2 \times ? \] ### Step 7: Solve for ? To find the value of ?, divide both sides by \( 2 \): \[ ? = \frac{200}{2} = 100 \] ### Conclusion Thus, the approximate value that will come in place of the question mark (?) is \( 100 \). ---
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ADDA247-NUMBER SYSTEM, SIMPLIFICATION AND APPROXIMATION -PRELIMS QUESTIONS (LEVEL - 2)
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