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.
Q1.If + means ×, then 4 + 5 equals:
Easy- A9
- B16
- C20
- D25
Mathematical Operations question 1 of 10+Show Answer & Explanation
Answer: C. 20
Explanation: Substituting, 4 × 5 = 20.
Q2.If × means +, and + means ×, then 3 × 4 + 2 equals:
Moderate- A9
- B10
- C11
- D14
Mathematical Operations question 2 of 10+Show Answer & Explanation
Answer: C. 11
Explanation: Translating gives 3 + 4 × 2, and BODMAS gives 3 + 8 = 11.
Q3.If ÷ means −, then 20 ÷ 5 equals:
Easy- A4
- B15
- C25
- D100
Mathematical Operations question 3 of 10+Show Answer & Explanation
Answer: B. 15
Explanation: Substituting, 20 − 5 = 15.
Q4.If − means ÷, then 24 − 6 equals:
Easy- A4
- B18
- C30
- D144
Mathematical Operations question 4 of 10+Show Answer & Explanation
Answer: A. 4
Explanation: Substituting, 24 ÷ 6 = 4.
Q5.If + means −, − means ×, × means ÷, then 10 + 5 − 2 equals:
Difficult- A0
- B5
- C10
- D20
Mathematical Operations question 5 of 10+Show Answer & Explanation
Answer: A. 0
Explanation: Translating gives 10 − 5 × 2; BODMAS gives 10 − 10 = 0.
Q6.If A @ B means A + B and A # B means A − B, then 12 @ 8 # 5 equals:
Moderate- A9
- B15
- C20
- D25
Mathematical Operations question 6 of 10+Show Answer & Explanation
Answer: B. 15
Explanation: Translating gives 12 + 8 − 5 = 15.
Q7.If × means −, then 15 × 7 equals:
Easy- A8
- B22
- C105
- D2
Mathematical Operations question 7 of 10+Show Answer & Explanation
Answer: A. 8
Explanation: Substituting, 15 − 7 = 8.
Q8.If + and − are interchanged, then 20 + 10 − 5 equals:
Moderate- A5
- B15
- C25
- D35
Mathematical Operations question 8 of 10+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.
Q9.If P means ×, Q means +, then 6 P 3 Q 4 equals:
Moderate- A18
- B22
- C24
- D42
Mathematical Operations question 9 of 10+Show Answer & Explanation
Answer: B. 22
Explanation: Translating gives 6 × 3 + 4 = 18 + 4 = 22.
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
Mathematical Operations question 10 of 10+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 — 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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