Mathematical Operations problems
- 1. If +, -, x, ÷, =, > and < are represented as ?,?, ?,?, ?, ? and ? respectively, then which of the following is correct?
Options- A. 3 ? 6 ? 2 ? 8 ? 4 ? 5
- B. 3 ? 6 ? 2 ? 8 ? 4 ? 5
- C. 3 ? 6 ? 2 ? 8 ? 4 ? 5
- D. 3 ? 6 ? 2 ? 8 ? 4 ? 5 Discuss
Correct Answer: 3 ? 6 ? 2 ? 8 ? 4 ? 5
Explanation:
Given question is,
3 ? 6 ? 2 ? 8 ? 4 ? 5
Then, after placing of signs in given question,
3 + 6 - 2 x 8 ÷ 4 = 5
Apply the BODMAS Rule.
9 - 2 x 2 = 5
5 = 5
- 2. Select the correct combination of mathematical signs to replace '*' signs and to balance the given equation.
24 * 34 * 2 * 5 * 12
Options- A. + ÷ x =
- B. = ÷ + -
- C. = ÷ - +
- D. + ÷ = x Discuss
Correct Answer: = ÷ - +
Explanation:
Solve by using all option one by one.
Choosing option (C) and change the sign.
24 = 34 ÷ 2 - 5 + 12
Use BODMAS rule to solve the equation.
24 = 17 - 5 + 12
24 = 29 - 5
24 = 24
- 3. Find the correct group of signs to solve the equation.
24 * 16 * 8 * 32
Options- A. ÷ - =
- B. - + =
- C. x ÷ =
- D. + - = Discuss
Correct Answer: + - =
Explanation:
Solve by using all option one by one.
Given equation is
24 * 16 * 8 * 32
Taking the sign of option (D),
? 24 + 16 - 8 = 32
Apply the BODMAS Rule in equation.
? 40 - 8 = 32 ? 32 = 32
Hence, correct group of sign is option (b).
- 4. If '+' means '-', '-', means 'x' , '÷' means '+' and 'x' means '÷', then
10 x 5 ÷ 3 - 2 + 3 =?
Options- A. 5
- B. 53/3
- C. 21
- D. 36 Discuss
Correct Answer: 5
Explanation:
? = 10 x 5 ÷ 3 - 2 + 3
= 10 ÷ 5 + 3 x 2 - 3 (by interchanging sign)
= 2 + 3 x 2 - 3
= 2 + 6 - 3 = 8 - 3 = 5
- 5. If Q means '+', J means 'x', T means '-' and K means '÷' then
30 K 2 Q 3 J 6 T 5 =?
Options- A. 18
- B. 28
- C. 31
- D. 103 Discuss
Correct Answer: 28
Explanation:
Using the correct symbols, we have
30 K 2 Q 3 J 6 T 5
= 30 ÷ 2 + 3 x 6 - 5
= 15 + 18 - 5 = 33 - 5 = 53
- 6. If P denotes '÷', Q denotes 'x', R denotes '+' and S denotes '-', then
18 Q 1 2 P 4 R 5 S 6
Options- A. 53
- B. 59
- C. 63
- D. 65 Discuss
Correct Answer: 53
Explanation:
Using the correct symbols, we have
18 Q 1 2 P 4 R 5 S 6
= 18 x 12 ÷ 4 + 5 - 6
= 18 x 3 + 5 - 6
= 54 + 5 - 6 = 59 - 6 = 53
- 7. Given interchanges signs '+' and 'x', numbers '3' and '7'
Options- A. 23 + 17 x 73 = 1241
- B. 37 + 73 x 12 = 112
- C. 23 x 17 + 37 = 428
- D. 23 + 17 x 73 = 388 Discuss
Correct Answer: 23 + 17 x 73 = 388
Explanation:
(a) 27 x 13 + 37 ? 1241
(b) 73 x 37 + 12 ? 112
(c) 27 + 13 x 73 ? 428
(d) 27 x 13 + 37 = 388
- 8. Given interchanges signs '-' and ' ÷'; numbers '2' and '6'
Options- A. 32 - 12 ÷ 6 = 30
- B. 36 ÷ 12 - 2 = 1
- C. 32 - 16 ÷ 6 = 1
- D. 36 - 12 ÷ 2 = 30 Discuss
Correct Answer: 32 - 16 ÷ 6 = 1
Explanation:
(a) 36 ÷ 16 - 2 ? 30
(b) 32 - 16 ÷ 6 ? 1
(c) 36 ÷ 12 - 2 = 1
(d) 32 ÷ 16 - 6 ? 30
- 9. Given interchanges signs 'x' and '÷'; numbers '4' and '9'
Options- A. 94 x 7 ÷ 47 = 324
- B. 94 x 7 ÷ 97 = 329
- C. 49 x 7 ÷ 49 = 7
- D. 47 x 9 ÷ 94 = 18 Discuss
Correct Answer: 94 x 7 ÷ 97 = 329
Explanation:
(a) 49 ÷ 7 x 97 ? 324
(b) 49 ÷ 7 x 47 = 329
(c) 94 ÷ 7 x 94 ? 7
(d) 97 ÷ 4 x 49 ? 18
- 10. Select the correct combination of mathematical signs to replace * signs and to balance the following equation
8 * 8 * 1 * 7 = 8
Options- A. x ÷ +
- B. + ÷ x
- C. ÷ x +
- D. + x ÷ Discuss
Correct Answer: ÷ x +
Explanation:
From option (c),
8 * 8 * 1 * 7 = 8
? 8 ÷ 8 x 1 + 7 = 8
? 8 = 8
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