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Mathematical Operations — Questions and Answers

Mathematical Operations questions replace the usual symbols with substitutes — perhaps + means ×, and ÷ means −. The task is to translate the expression back into real operators and then evaluate under normal BODMAS rules. Write the substitution key on your rough sheet before touching the expression; solving from memory is where errors creep in.

10 solved questionsVerbal ReasoningFree · no signup

Mathematical Operations— Concepts, Formulas & Shortcuts

  • Write the symbol-to-operator key down before evaluating anything.
  • Substitute first, then apply BODMAS to the translated expression.
  • Do not apply BODMAS to the disguised symbols — translate first.
  • For "interchange the signs" questions, swap both directions consistently.
  • Check each answer option by substituting, not by inspection.
  • Brackets in the disguised expression stay brackets after translation.

Mathematical Operations Practice Questions with Answers

Attempt each question first, then open the explanation. All 10 questions below are free to read and require no signup.

  1. Q1.If + means ×, then 4 + 5 equals:

    Easy
    • A9
    • B16
    • C20
    • D25
    +Show Answer & Explanation

    Answer: C. 20

    Explanation: Substituting, 4 × 5 = 20.

    Mathematical Operations question 1 of 10
  2. Q2.If × means +, and + means ×, then 3 × 4 + 2 equals:

    Moderate
    • A9
    • B10
    • C11
    • D14
    +Show Answer & Explanation

    Answer: C. 11

    Explanation: Translating gives 3 + 4 × 2, and BODMAS gives 3 + 8 = 11.

    Mathematical Operations question 2 of 10
  3. Q3.If ÷ means −, then 20 ÷ 5 equals:

    Easy
    • A4
    • B15
    • C25
    • D100
    +Show Answer & Explanation

    Answer: B. 15

    Explanation: Substituting, 20 − 5 = 15.

    Mathematical Operations question 3 of 10
  4. Q4.If − means ÷, then 24 − 6 equals:

    Easy
    • A4
    • B18
    • C30
    • D144
    +Show Answer & Explanation

    Answer: A. 4

    Explanation: Substituting, 24 ÷ 6 = 4.

    Mathematical Operations question 4 of 10
  5. Q5.If + means −, − means ×, × means ÷, then 10 + 5 − 2 equals:

    Difficult
    • A0
    • B5
    • C10
    • D20
    +Show Answer & Explanation

    Answer: A. 0

    Explanation: Translating gives 10 − 5 × 2; BODMAS gives 10 − 10 = 0.

    Mathematical Operations question 5 of 10
  6. Q6.If A @ B means A + B and A # B means A − B, then 12 @ 8 # 5 equals:

    Moderate
    • A9
    • B15
    • C20
    • D25
    +Show Answer & Explanation

    Answer: B. 15

    Explanation: Translating gives 12 + 8 − 5 = 15.

    Mathematical Operations question 6 of 10
  7. Q7.If × means −, then 15 × 7 equals:

    Easy
    • A8
    • B22
    • C105
    • D2
    +Show Answer & Explanation

    Answer: A. 8

    Explanation: Substituting, 15 − 7 = 8.

    Mathematical Operations question 7 of 10
  8. Q8.If + and − are interchanged, then 20 + 10 − 5 equals:

    Moderate
    • A5
    • B15
    • C25
    • D35
    +Show Answer & Explanation

    Answer: B. 15

    Explanation: Swapping the operators turns the expression into 20 − 10 + 5, which evaluates left to right as 10 + 5 = 15.

    Mathematical Operations question 8 of 10
  9. Q9.If P means ×, Q means +, then 6 P 3 Q 4 equals:

    Moderate
    • A18
    • B22
    • C24
    • D42
    +Show Answer & Explanation

    Answer: B. 22

    Explanation: Translating gives 6 × 3 + 4 = 18 + 4 = 22.

    Mathematical Operations question 9 of 10
  10. Q10.In mathematical-operations questions, the correct first step is to:

    Easy
    • AApply BODMAS to the symbols
    • BSubstitute the real operators
    • CGuess from the options
    • DIgnore brackets
    +Show Answer & Explanation

    Answer: B. Substitute the real operators

    Explanation: Translation must precede evaluation, or BODMAS will be applied to the wrong operators.

    Mathematical Operations question 10 of 10

Mathematical Operations — Frequently Asked Questions

Do I apply BODMAS before or after substituting?+

After. Translate every disguised symbol into its real operator first, then evaluate the resulting expression using normal BODMAS precedence.

What does an "interchange" question require?+

Swapping two operators wherever either appears. If + and × are interchanged, every + becomes × AND every × becomes +, then you evaluate normally.

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