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Question

Find the simplified value of the following expression.

\(\frac{(36 \div 3) \times (48 \div 6) - (16 \div 2)}{4}\)

This question was previously asked in
RRB ALP 2025 CBT 2 Wiremen Question Paper (28-Jul-2026) (Shift 2)
The correct answer is
22

Calculate Expression Value Step-by-Step

To find the simplified value of the expression \(\frac{(36 \div 3) \times (48 \div 6) - (16 \div 2)}{4}\), we 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).

Evaluate Divisions Inside Parentheses

  • First, calculate the divisions within the parentheses:
    • \(36 \div 3 = 12\)
    • \(48 \div 6 = 8\)
    • \(16 \div 2 = 8\)
  • Substitute these values back into the expression: \( \frac{12 \times 8 - 8}{4} \)

Perform Multiplication

  • Next, perform the multiplication: \( 12 \times 8 = 96 \)
  • The expression now becomes: \( \frac{96 - 8}{4} \)

Perform Subtraction

  • Perform the subtraction in the numerator: \( 96 - 8 = 88 \)
  • The expression simplifies to: \( \frac{88}{4} \)

Perform Final Division

  • Finally, perform the division: \( 88 \div 4 = 22 \)

The simplified value of the expression is 22.

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Similar Questions

  1. Evaluate the given expression: 
    42 ÷ 7 × 2

  2. Solve the following:

    $$ 36 - [18 - \{14 - (15 - 4 \div 2 \times 2)\}] $$
  3. Value of \(23-5 \times 17 + 85 \div 17 + 120\)
  4. Simplify 976 × 265 + 976 × 735.

  5. $45 - [38 - \{80 \div 4 - (8 - 12 \div 3) \div 4\}] = ?$
  6. $\{8 - (28 - 53)\} \div \{-4 \times 5 - (-9)\} = ?$
  7. Evaluate the given expression:

    13 - 12 ÷ 4 × 2


Important Questions from Bodmas Rule

  1. If 2945 ÷ 19 – 11 × 5 = 29 + a, find the value of a.

  2. DIRECTIONS: What should come in place of the question mark (?) in the following question?

    3800 - 22 × 1968 ÷ 48 = ? × 7

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

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

    (420 ÷ 12 × 35 + 452- 152) = ?2

  5. Evaluate: (13 × 8 - √81 × 6 + 1 ) ÷ (√49 + 72 - 18 × 2 + 19)

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