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Question

If 'A' stands for '÷', 'B' stands for '×', 'C' stands for '+' and 'D' stands for '−', what will come in place of the question mark (?) in the following equation?

7 B 5 D 48 A 4 C 13 = ?

This question was previously asked in
RRB NTPC 2024 CBT 1 Question Paper (28-Aug-2025) (Shift 3)
The correct answer is
36

Solving the Equation: Symbol Substitution Method

This question involves replacing given letters with mathematical operators and then evaluating the expression using the standard order of operations (BODMAS/PEMDAS).

Symbol Mapping

First, establish the mapping between the letters and the operators:

  • 'A' represents '÷' (Division)
  • 'B' represents '×' (Multiplication)
  • 'C' represents '+' (Addition)
  • 'D' represents '−' (Subtraction)

Equation Transformation

Substitute these operators into the given equation:

Original: $7 B 5 D 48 A 4 C 13 = ?$

After Substitution: $7 \times 5 - 48 \div 4 + 13 = ?$

Applying Order of Operations (BODMAS)

Solve the equation following the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction).

  1. Division: Calculate $48 \div 4$.
    $48 \div 4 = 12$
  2. Multiplication: Calculate $7 \times 5$.
    $7 \times 5 = 35$

The equation simplifies to:

$35 - 12 + 13 = ?$

  1. Subtraction (Left to Right): Calculate $35 - 12$.
    $35 - 12 = 23$
  2. Addition (Left to Right): Calculate $23 + 13$.
    $23 + 13 = 36$

Result

The final calculated value is 36.

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Important Questions from Mathematical Operations

  1. What will come in the place of ‘?’ in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
    18 ÷ 9 + 24 × 3 − 16 = ?

  2. If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’, and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation?
    88 B 3 D 12 A 4 C 6 = ?

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    Given sets:
    (9, 21, 193)
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  4. What will come in the place of the question mark (?) in the following equation, if ‘÷’ and ‘+’ are interchanged and ‘−’ and ‘×’ are interchanged?
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