Mathematical Operations problems
- 1. If '-' stands for '÷', '+' stands for 'x', '÷' stands for '-' and 'x' stands for '+', find out which one is correct?
Options- A. 49 + 7 - 3 x 5 ÷ 8 = 20
- B. 49 - 7 + 3 ÷ 5 x 8 = 24
- C. 49 x 7 + 3 ÷ 5 - 8 = 16
- D. 49 ÷ 7 x 3 + 5 - 8 = 26 Discuss
Correct Answer: 49 - 7 + 3 ÷ 5 x 8 = 24
Explanation:
From option (b),
49 - 7 + 3 ÷ 5 x 8 = 24
Change the sign, as per the question,
49 ÷ 7 x 3 - 5 + 8 = 24
? 7 x 3 - 5 + 8 = 24
? 21 - 5 + 8 = 24
? 24 = 24
- 2. Select the correct combination of mathematical signs to replace '*' signs and to balance the following equation.
6 * 4 * 12 * 12
Options- A. ÷, -, =
- B. +, -, ÷
- C. =, -, ÷
- D. x, -, = Discuss
Correct Answer: x, -, =
Explanation:
6 * 4 * 12 * 12
From option (d),
6 x 4 - 12 = 12
? 12 = 12
- 3. If 'x' stands for '+', '<' for '-', '+' for ' ÷', '>' for 'x', '-' for '=', ' ÷' for '>' and '=' for '<', then state which of the following is true?
Options- A. 3 x 4 > 2 - 9 + 3 < 3
- B. 5 x 3 < 7 ÷ 8 + 4 x 1
- C. 5 > 2 + 2 = 10 < 4 x 8
- D. 3 x 2 < 4 ÷ 16 > 2 + 4 Discuss
Correct Answer: 5 > 2 + 2 = 10 < 4 x 8
Explanation:
Using the proper symbols in (c), we get
5 x 2 ÷ 2 < 10 - 4 + 8
? 5 x 1 < 18 - 4 ? 5 < 14
which is true.
- 4. If '-' stands for '÷', '+' stands for '-', '÷' stands for 'x', 'x' stands for '+', then which one of the following equation is correct?
Options- A. 70 - 2 + 4 ÷ 5 x 6 = 44
- B. 70 - 2 + 4 ÷ 5 x 6 = 21
- C. 70 - 2 + 4 ÷ 5 x 6 = 341
- D. 70 - 2 + 4 ÷ 5 x 6 = 96 Discuss
Correct Answer: 70 - 2 + 4 ÷ 5 x 6 = 21
Explanation:
Change the proper sign according to question and try all option one by one by applying the BODMAS Rule.
'-' ? ÷
'+' ? '-'
÷ ? 'x'
'x' ? '+'
? 70 ÷ 2 - 4 x 5 + 6 = 21
? 35 - 20 + 6 = 21
? 15 + 6 = 21
? 21 = 21
- 5. If '+' means '÷', '-' means '+', 'x' means '-' and '÷' means 'x', then what is the value of 24 ÷ 12 - 18 + 9?
Options- A. -25
- B. 0.72
- C. 15.30
- D. 290 Discuss
Correct Answer: 290
Explanation:
Using the proper symbols, we have
24 ÷ 12 - 8 + 9
Now Apply the BODMAS Rule,
= 24 x 12 + 18 ÷ 9
= 288 + 2 = 290
- 6. if 'R' means '÷', 'Q' means 'x', 'P' means '+', then 1 8 R 9 P 2 Q 8 =?
Options- A. 18
- B. 16
- C. 28
- D. 30 Discuss
Correct Answer: 18
Explanation:
Using the correct symbols, we have
1 8 R 9 P 2 Q 8
= 18 ÷ 9 + 2 x 8
= 2 + 2 x 8 = 2 + 16 = 18
- 7. 3 - 9 x 27 + 9 ÷ 3 = 3
Options- A. + and -
- B. x and +
- C. x and ÷
- D. - and ÷ Discuss
Correct Answer:
Explanation:
If we interchange 'x' and '-' , the equation changes into
3 x 9 - 27 + 9 ÷ 3 = 27 - 27 + 3 = 3
- 8. 4 x 2 + 6 ÷ 2 - 12 = 2
Options- A. ÷ and x
- B. + and -
- C. x and +
- D. ÷ and - Discuss
Correct Answer: ÷ and x
Explanation:
If we interchanges signs '÷' and 'x', then the equation changes into
4 ÷ 2 + 6 x 2 - 12 = 2 + 12 - 12 - 2
- 9. 5 x 15 ÷ 7 - 20 + 4 = 77
Options- A. - and +
- B. x and ÷
- C. + and ÷
- D. + and x Discuss
Correct Answer: + and ÷
Explanation:
If we interchanges signs '+' and '÷', then the equation changes into
5 x 15 + 7 - 20 ÷ 4 = 5 x 15 + 7 - 5 = 77
- 10. 16 - 21 ÷ 7 x 6 + 3 = 31
Options- A. - and +
- B. + and x
- C. ÷ and +
- D. ÷ and x Discuss
Correct Answer: + and x
Explanation:
If we interchange of signs '+' and 'x', then the equation changes into
16 - 21 ÷ 7 + 6 x 3 = 16 - 3 + 18 = 31
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