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Mathematical Operations Questions and Answers

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111.

If ‘+’ means ‘divided by’, ‘-‘ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 15 ÷ 12 - 36 + 3 ?

Answer: C

Correct answer: 192

Substituting gives \[ 15 \times 12 + 36 \div 3 = 180 + 12 = 192. \] Note that the two symbols are exchanged in an unexpected direction here - the divide sign means multiply and the plus means divide - so reading the expression at face value would give something quite different.

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112.

If ‘+’ stands for ‘×’, ‘-‘ for ‘÷’, ‘×’ for ‘-‘ and ‘÷’ for ‘+’, find the value of 12 + 90 - 5 × 9 ÷ 3.

Answer: C

Correct answer: 210

Substituting gives \[ 12 \times 90 \div 5 - 9 + 3. \] Multiplication and division first, left to right: \( 12\times90 = 1080 \), \( 1080\div5 = 216 \). Then \( 216 - 9 + 3 = 210 \). Stopping at 216, before the last two terms are applied, gives the second option offered.

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113.

If P denotes ÷; Q denotes ×, R denotes + and S denotes -, then what is the value of 18 Q 12 P 4 R 5 S 6 ?

Answer: A

Correct answer: 53

Substituting gives \[ 18 \times 12 \div 4 + 5 - 6. \] The multiplication and division are taken first, left to right: \( 18\times12 = 216 \), \( 216\div4 = 54 \). Then \( 54 + 5 - 6 = 53 \).

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114.

If L stands for +, M stands for -, N stands for ×, P stands for ÷, then 14 N 10 L 42 P 2 M 8 = ?

Answer: A

Correct answer: 153

Substituting gives \[ 14 \times 10 + 42 \div 2 - 8 = 140 + 21 - 8 = 153. \] Both the multiplication and the division are completed before anything is added or subtracted, which is what keeps the two products separate rather than running them into one another.

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115.

If P means ‘division; T means ‘addition; M means ‘subtraction’ and D means ‘multiplication’, then what will be the value of the expression 12 M 12 D 28 P 7 T 15?

Answer: D

Correct answer: – 21

Substituting gives \[ 12 - 12 \times 28 \div 7 + 15. \] Multiplication and division first: \( 12\times28 = 336 \), \( 336\div7 = 48 \). Then \( 12 - 48 + 15 = -21 \). The negative result is the point of the item - the middle term is far larger than either of the others.

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116.

If Q means ‘add’ to; J means ‘Multiply by’, T means ‘subtract from’ and K means ‘divide by’ then 30 K 2 Q 3 J 6 T 5 = ?

Answer: B

Correct answer: 28

Substituting gives \[ 30 \div 2 + 3 \times 6 - 5. \] Taking the division and multiplication first: \( 30\div2 = 15 \) and \( 3\times6 = 18 \). Then \( 15 + 18 - 5 = 28 \).

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117.

If P denotes ‘multiplied’ by’, T denotes ‘subtracted’ from’, M denotes ‘add to’ and B denotes ‘divided by’, then 28 B 7 P 8 T 6 M 4 =?

Answer: B

Correct answer: 30

Substituting gives \[ 28 \div 7 \times 8 - 6 + 4. \] Division and multiplication first, left to right: \( 28\div7 = 4 \), \( 4\times8 = 32 \). Then \( 32 - 6 + 4 = 30 \).

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