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Question

Which of the following options is the closest approximate value which will replace question mark (?) in the following equation?
(44.97% of 226) + 55.03 $\times$ 4.98 - ? = 140

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
237

Approximate Equation Calculation

The question asks for the approximate value of '?' in the given equation. We can simplify the calculation by approximating the numbers.

The equation is:

$(44.97\% \text{ of } 226) + (55.03 \times 4.98) - ? = 140$

Approximating Values

  • 44.97% is approximately 45%.
  • 226 is approximately 225 (for easier percentage calculation) or simply use 226. Let's use 226 for better accuracy while keeping the percentage simple. So, 45% of 226.
  • 55.03 is approximately 55.
  • 4.98 is approximately 5.
  • 140 is already a round number.

Step-by-Step Calculation

  1. Calculate the first term (percentage):

    Approximate 44.97% of 226 $\approx 45\%$ of $226$

    $ \frac{45}{100} \times 226 = 0.45 \times 226 $

    $ 0.45 \times 226 = 101.7 $

  2. Calculate the second term (product):

    Approximate 55.03 $\times$ 4.98 $\approx 55 \times 5$

    $ 55 \times 5 = 275 $

  3. Substitute the approximate values back into the equation:

    $ 101.7 + 275 - ? = 140 $

  4. Simplify the equation:

    $ 376.7 - ? = 140 $

  5. Solve for '?':

    $ ? = 376.7 - 140 $

    $ ? = 236.7 $

Identify Closest Option

The calculated approximate value for '?' is 236.7. Comparing this with the given options:

  • Option 1: 25
  • Option 2: 237
  • Option 3: 508
  • Option 4: 120

The value 236.7 is closest to 237.

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Similar Questions

  1. Which of the following options is the closest approximate value that will come in place of question mark (?) in the following equation?
    $\sqrt[3]{63.998} + \frac{5}{4} \text{ of } 120.01\% \text{ of } 399.89 - 29.99 \div 3.01 = ?$
  2. Which of the following options will be the most approximate value that will come in place of question mark (?) in the following equation?
    $259.99 \div 24.99 \times 35.01 - 29.98 \times 9.96 = ?$
  3. Which of the following options is the closest approximate value which will come in place of question mark(?) in the following equation?
    $119.99 \div 14.99 \times 25.01 - 19.98 \times 4.96 = ?$
  4. Which of the following options is the closest approximate value which will come in place of question mark(?) in the following equation?

    $24.99\% \text{ of } 799.897 + 29.989\% \text{ of } 120.010 = 190 + 22.998\% \text{ of } ?$
  5. Which of the following options is the closest approximate value which will come in place of question mark(?) in the following equation?

    $895.98 + 185.01 + 851.86 + 524.09 = ?$
  6. Which of the following options is the closest approximate value which will come in place of question mark (?) in the following equation?

    2.98 of 5 + 1.96 of 5 - 4 $\div$ 2 + 0.98 = ?

Important Questions from Approximation

  1. $6893.5 \times 603.3 \times 0.3019$ is equal in value to:
  2. $7362 \times 726.8 \times 0.709$ is equal in value to:

  3. Which of the following options is the closest approximate value that will come in place of question mark (?) in the following equation?
    $\sqrt[3]{63.998} + \frac{5}{4} \text{ of } 120.01\% \text{ of } 399.89 - 29.99 \div 3.01 = ?$
  4. Which of the following options will be the most approximate value that will come in place of question mark (?) in the following equation?
    $259.99 \div 24.99 \times 35.01 - 29.98 \times 9.96 = ?$
  5. Which of the following options is the closest approximate value which will come in place of question mark(?) in the following equation?
    $119.99 \div 14.99 \times 25.01 - 19.98 \times 4.96 = ?$
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