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Question

Solve the following:
$11 + 11 \div 11 + 11 \times 11 - 11 = ?$

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
122

Solving Math Expression:

To solve this mathematical expression, we must follow the order of operations, commonly remembered by the acronyms PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) or BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

Order of Operations

  • Division and Multiplication are performed before Addition and Subtraction.
  • If multiple division or multiplication operations exist, they are performed from left to right.
  • Similarly, addition and subtraction are performed from left to right.

Step-by-Step Solution

  1. First, perform the division: $11 \div 11 = 1$.
    The expression becomes: $11 + 1 + 11 \times 11 - 11$.

  2. Next, perform the multiplication: $11 \times 11 = 121$.
    The expression becomes: $11 + 1 + 121 - 11$.

  3. Now, perform addition and subtraction from left to right.

    • $11 + 1 = 12$. The expression is now $12 + 121 - 11$.
    • $12 + 121 = 133$. The expression is now $133 - 11$.
    • $133 - 11 = 122$.

The final result of the calculation is 122.

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Similar Questions

  1. Solve
    $49 + 1331 \div 121 - 72 - 5 = ?$
  2. Solve the following.

    $4 \times 36 - 6[3 + 2(216 \div 6) - 51] = ?$
  3. Solve the following. $8000 + \frac{2000}{100} - 150 \times 60$
  4. Solve the following.
    $3[35 + (45 + 10 \div 2 \times 3 - 50) + 5]$
  5. Using BODMAS, simplify the following.
    $\frac{7}{9} \times \frac{21}{5} \times 25 (65^2 - 55^2)$
  6. Find the value of $216 \div 6 + 6 \times 4 - 10$.
  7. The value of $3 \div 1 - 2 + 3$ is:
  8. The value of $5 + 5 \times 2 \div 5$ is:
  9. Simplify the given expression using BODMAS.

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

  10. Simplify the given expression.

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


Important Questions from Bodmas Rule

  1. The value of 90 ÷ 20 of 6 × [11 ÷ 4 of {3 × 2 - (3 - 8)}] ÷ (9 ÷ 3 × 2) is:

  2. The value of 1800 ÷ 20 × {(12 - 6) + (24 - 12)} is:

  3. The value of 20 ÷ 5 of 8 × [9 ÷ 6 × (6 - 3)] - (10 ÷ 2 of 20) is:

  4. The value of \(\left( {18 \div 2\;of\frac{1}{4}} \right)\; \times \;\left( {\frac{2}{3} \div \frac{3}{4}\; \times \;\frac{5}{8}} \right) \div \left( {\frac{2}{3} \div \frac{3}{4}of\frac{3}{4}} \right)\) is:

  5. The value of 18 ÷ [26 - {25 - (15 - 5) ÷ 2}] of 12 + 2 - 2 ÷ 4 × 16 is:

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