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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)
`1485.988 + 212.04 - 1703.99 = ? - (11.02)^(2)`

A

95

B

115

C

130

D

102

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \(1485.988 + 212.04 - 1703.99 = ? - (11.02)^{2}\) and find the approximate value of \(?\), we will follow these steps: ### Step 1: Approximate Each Term We will round each number to the nearest whole number for simplicity: - \(1485.988 \approx 1486\) - \(212.04 \approx 212\) - \(1703.99 \approx 1704\) - \(11.02 \approx 11\) ### Step 2: Rewrite the Equation with Approximations Now, substituting the approximated values into the equation gives us: \[ 1486 + 212 - 1704 = ? - 11^2 \] ### Step 3: Calculate \(11^2\) Calculating \(11^2\): \[ 11^2 = 121 \] ### Step 4: Substitute Back into the Equation Now, we can rewrite the equation: \[ 1486 + 212 - 1704 = ? - 121 \] ### Step 5: Simplify the Left Side Calculating the left side: \[ 1486 + 212 = 1698 \] Now subtract \(1704\): \[ 1698 - 1704 = -6 \] So, we have: \[ -6 = ? - 121 \] ### Step 6: Solve for \(?\) Now, we can solve for \(?\): \[ ? = -6 + 121 \] Calculating this gives: \[ ? = 115 \] ### Final Answer Thus, the approximate value that will come in place of the question mark (?) is: \[ \boxed{115} \]
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ADDA247-NUMBER SYSTEM, SIMPLIFICATION AND APPROXIMATION -PRELIMS QUESTIONS (LEVEL - 2)
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