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Question

What is the value of the following expression?
$103 - [144 \div (12 \times 12) + 5 + 12 \div (6 - 2) + 10]$

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper PDF (31-Jan-2021) (Shift 1)
The correct answer is
84

Evaluate Math Expression Value

The problem asks to find the value of the mathematical expression: $103 - [144 \div (12 \times 12) + 5 + 12 \div (6 - 2) + 10]$ We need to follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Step-by-Step Solution

  1. Solve Parentheses/Brackets:
    • Calculate the expression inside the innermost parentheses: $(12 \times 12) = 144$.
    • Calculate the expression inside the other innermost parentheses: $(6 - 2) = 4$.
    The expression becomes: $103 - [144 \div 144 + 5 + 12 \div 4 + 10]$.
  2. Perform Division within Brackets:
    • $144 \div 144 = 1$.
    • $12 \div 4 = 3$.
    The expression simplifies to: $103 - [1 + 5 + 3 + 10]$.
  3. Perform Addition within Brackets:
    • $1 + 5 + 3 + 10 = 19$.
    The expression is now: $103 - 19$.
  4. Perform Subtraction:
    • $103 - 19 = 84$.

The final value of the expression is 84.

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Similar Questions

  1. Solve the following.
    $3[35 + (45 + 10 \div 2 \times 3 - 50) + 5]$
  2. What will the value of the following expression be? 

    $20 - [15 - \{4 - (8 - 6 + 3)\}]$

  3. What is the value of $(6 + 4) \times \frac{4}{2} + 5 - 3$?
  4. What is the value of $\frac{(6 \times 2)}{(8 - 1 + 5)}$?
  5. Simplify the given expression using BODMAS.

    $\frac{4}{11} \times \frac{121}{16} \times 24 (75^2 - 55^2) \times \frac{1}{100}$

  6. Simplify the given expression.

    $\frac{5+5\times5}{5\times5+5} \times \frac{\frac{1}{5}\div(\frac{1}{5}\times\frac{1}{5})}{(\frac{1}{5}\times\frac{1}{5})\div\frac{1}{5}} - (5 - \frac{1}{5}) \times \frac{10}{2}$

  7. Using BODMAS, simplify the following.
    $\frac{7}{9} \times \frac{21}{5} \times 25 (65^2 - 55^2)$
  8. Find the value of $216 \div 6 + 6 \times 4 - 10$.
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    $240 \div 8 \times 512 \div 4$
  10. Solve the following:
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Important Questions from Bodmas Rule

  1. Solve: {7.88 × 2 + 2.4 × 5 - 242.4 ÷ 4 + [9.2 × 4 - 2.46 of 3 + (36.3 ÷ 3 - 1.42 × 2)]} 

  2. What will come in the place of question mark (?) in the given expression?

    (420 ÷ 12 × 35 + 452- 152) = ?2

  3. What will come in place of the question mark ‘?’ in the following question?

    (44 of 15) – [(450 × 240 ÷ 60 – 40) ÷ 80 × 25 + 50] – 10 = ?
  4. Simplify: 92 - 18 ( 9 + 36 ÷ 3 × 12 - 27 × 3) + 51

  5. Simplify the following expression.

    \(\rm \frac{3}{5}\ of\ \left\{\left(48\div\overline{36\div9}\times\frac{1}{6}\right)+\frac{1}{3}\right\}=?\)

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