Mathematical Operations Questions and Answers

Q: In a certain code language, '-' represents'+', '+' represents 'x', 'x' represents '÷' and '÷'represents '-'. Find out the answer to the following question. 2 - 12 + 10 x 5 ÷ 12 = ?

Correct answer: 14The code swaps the symbols: \( - \to + \), \( + \to \times \), \( \times \to \div \), \( \div \to - \). So \( 2 - 12 + 10 \times 5 \div 12 \) is read as \( 2 + 12 \times 10 \div 5 - 12 \).Applying BODMAS to the decoded expression: \[ 2 + 12 \times 10 \div 5 - 12 = 2 + 24 - 12 = \mathbf{14} \]

Q: In a certain code language, '+' represents 'x', '-' represents '+', 'x' represents '÷' and '÷' represents '-'. What is the answer to the following question? 25 + 10 ÷ 240 x 16 = ?

Correct answer: 235Replacing the symbols gives \( 25 \times 10 - 240 \div 16 \), and by the usual order \[ 250 - 15 = \mathbf{235} \]

Q: In a certain code language, 'x' represents '+', '÷' represents 'x', '-' represents '÷' and '+' represents '-'. Find out the answer to the following question. 5 + 10 x 21 ÷ 5 - 15 = ?

Correct answer: 2Replacing the symbols gives \( 5 - 10 + 21 \times 5 \div 15 \), and by the usual order \[ 5 - 10 + 7 = \mathbf{2} \]

Q: If '+' means subtraction, '÷' means addition, '<' means multiplication and '>' means division, then find the value of the given statement, The value of 9 ÷ 7 (4>2) + 5 will be

Correct answer: 32Replace each symbol by the operation it means: \( + \to - \), \( \div \to + \), \( \lt \to \times \), \( \gt \to \div \). The expression \( 9 \div 7 \lt 8 \gt (4 \gt 2) + 5 \) therefore reads \( 9 + 7 \times 8 \div (4 \div 2) - 5 \).Working the bracket first, then BODMAS: \[ 9 + 7 \times 8 \div 2 - 5 = 9 + 28 - 5 = \mathbf{32} \]

Q: If "+" means "minus", "x" means "divided by", "÷" means "plus" and "-" means "multiplied by", then 38 x 2 - 6 + 19 ÷ 35 = ?

Correct answer: 130Replacing the symbols gives \( 38 \div 2 \times 6 - 19 + 35 \), and by the usual order \[ 114 - 19 + 35 = \mathbf{130} \]

Q: If V means ‘divided by, - means ‘multiplied by’, V means ‘minus and V means ‘plus’, which of the following will be the value of the expression 16+ 8- 4 + 2 x 4?

Correct answer: 28The substitution table has been destroyed in this record - three of the four symbol names were lost and are shown as the letter V, so it cannot be known which sign stands for which operation. What can be said is that the keyed value follows from reading the expression at face value: \[ 16 + 8 - 4 + 2\times4 = 16 + 8 - 4 + 8 = 28, \] taking multiplication before addition. As an operator-substitution question the item cannot be worked until the original table is restored, and no assignment consistent with the one surviving clue - that the dash means multiplied by - produces 28.

Q: If + means ÷, – means ×, ÷ means + and × means –, then 36 × 12 + 4 ÷ 6 + 2 – 3 = ?

Correct answer: 42Apply the substitutions in place: + becomes \( \div \), – becomes \( \times \), \( \div \) becomes +, and \( \times \) becomes –. The expression \( 36 \times 12 + 4 \div 6 + 2 - 3 \) therefore reads \[ 36 - 12 \div 4 + 6 \div 2 \times 3 = 36 - 3 + 3\times3 = 36 - 3 + 9 = 42. \] The order of operations is applied to the *substituted* signs, not the printed ones - doing the division and multiplication before the subtraction and addition is what makes the two nines appear.

Q: If A means ‘plus’, B means ‘minus’, C means ‘divided by’ and D means ‘multiplied by’, then 18 A 12 C 6 D 2 B 5 = ?

Correct answer: None of theseSubstituting gives \[ 18 + 12 \div 6 \times 2 - 5. \] Division and multiplication come first, left to right: \( 12\div6 = 2 \), then \( 2\times2 = 4 \). So the value is \( 18 + 4 - 5 = 17 \), which is not among the three figures offered.

Q: If x stands for + stands for +, + stands for + and - stands for x, which one of the following equations is correct?

Correct answer: 8 + 10 – 3 + 5 x 6 = 8This item cannot be worked as it stands: the list of substitutions in the stem has been damaged, with the same sign appearing against more than one operation and one of the four definitions lost altogether. Until the original wording is restored, no consistent set of replacements can be applied to test the four equations against one another.

Q: It being given that : > denotes +,

Correct answer: 3 > 2 < 4 x 8 + 4 < 2This item cannot be worked as it stands: the stem breaks off part way through the list of definitions, so only the meaning of the first symbol survives. Without the full set of substitutions the four expressions cannot be evaluated or compared.

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91.

In a certain code language, '-' represents'+', '+' represents 'x', 'x' represents '÷' and '÷'represents '-'. Find out the answer to the following question.

2 - 12 + 10 x 5 ÷ 12 = ?

A.32
B.8
C.4
D.14

Answer: D

Correct answer: 14

The code swaps the symbols: \( - \to + \), \( + \to \times \), \( \times \to \div \), \( \div \to - \). So \( 2 - 12 + 10 \times 5 \div 12 \) is read as \( 2 + 12 \times 10 \div 5 - 12 \).

Applying BODMAS to the decoded expression: \[ 2 + 12 \times 10 \div 5 - 12 = 2 + 24 - 12 = \mathbf{14} \]

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92.

In a certain code language, '+' represents 'x', '-' represents '+', 'x' represents '÷' and '÷' represents '-'. What is the answer to the following question?
25 + 10 ÷ 240 x 16 = ?

A.85
B.235
C.12
D.20

Answer: B

Correct answer: 235

Replacing the symbols gives \( 25 \times 10 - 240 \div 16 \), and by the usual order \[ 250 - 15 = \mathbf{235} \]

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93.

In a certain code language, 'x' represents '+', '÷' represents 'x', '-' represents '÷' and '+' represents '-'. Find out the answer to the following question.

5 + 10 x 21 ÷ 5 - 15 = ?

A.49
B.2
C.20
D.34

Answer: B

Correct answer: 2

Replacing the symbols gives \( 5 - 10 + 21 \times 5 \div 15 \), and by the usual order \[ 5 - 10 + 7 = \mathbf{2} \]

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94.

If '+' means subtraction, '÷' means addition, '<' means multiplication and '>' means division, then find the value of the given statement,

The value of 9 ÷ 7 < 8> (4>2) + 5 will be

A.32
B.18
C.16
D.11

Answer: A

Correct answer: 32

Replace each symbol by the operation it means: \( + \to - \), \( \div \to + \), \( \lt \to \times \), \( \gt \to \div \). The expression \( 9 \div 7 \lt 8 \gt (4 \gt 2) + 5 \) therefore reads \( 9 + 7 \times 8 \div (4 \div 2) - 5 \).

Working the bracket first, then BODMAS: \[ 9 + 7 \times 8 \div 2 - 5 = 9 + 28 - 5 = \mathbf{32} \]

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95.

If "+" means "minus", "x" means "divided by", "÷" means "plus" and "-" means "multiplied by", then 38 x 2 - 6 + 19 ÷ 35 = ?

A.130
B.140
C.135
D.145

Answer: A

Correct answer: 130

Replacing the symbols gives \( 38 \div 2 \times 6 - 19 + 35 \), and by the usual order \[ 114 - 19 + 35 = \mathbf{130} \]

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96.

If V means ‘divided by, - means ‘multiplied by’, V means ‘minus and V means ‘plus’, which of the following will be the value of the expression 16+ 8- 4 + 2 x 4?

A.16
B.28
C.32
D.44

Answer: B

Correct answer: 28

The substitution table has been destroyed in this record - three of the four symbol names were lost and are shown as the letter V, so it cannot be known which sign stands for which operation. What can be said is that the keyed value follows from reading the expression at face value: \[ 16 + 8 - 4 + 2\times4 = 16 + 8 - 4 + 8 = 28, \] taking multiplication before addition. As an operator-substitution question the item cannot be worked until the original table is restored, and no assignment consistent with the one surviving clue - that the dash means multiplied by - produces 28.

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97.

If + means ÷, – means ×, ÷ means + and × means –, then 36 × 12 + 4 ÷ 6 + 2 – 3 = ?

A.2
B.18
C.42
D.6

Answer: C

Correct answer: 42

Apply the substitutions in place: + becomes \( \div \), – becomes \( \times \), \( \div \) becomes +, and \( \times \) becomes –. The expression \( 36 \times 12 + 4 \div 6 + 2 - 3 \) therefore reads \[ 36 - 12 \div 4 + 6 \div 2 \times 3 = 36 - 3 + 3\times3 = 36 - 3 + 9 = 42. \] The order of operations is applied to the *substituted* signs, not the printed ones - doing the division and multiplication before the subtraction and addition is what makes the two nines appear.

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98.

If A means ‘plus’, B means ‘minus’, C means ‘divided by’ and D means ‘multiplied by’, then 18 A 12 C 6 D 2 B 5 = ?

A.15
B.25
C.27
D.None of these

Answer: D

Correct answer: None of these

Substituting gives \[ 18 + 12 \div 6 \times 2 - 5. \] Division and multiplication come first, left to right: \( 12\div6 = 2 \), then \( 2\times2 = 4 \). So the value is \( 18 + 4 - 5 = 17 \), which is not among the three figures offered.

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99.

If x stands for + stands for +, + stands for + and - stands for x, which one of the following equations is correct?

A.15 - 5 + 6 x 20 + 10 = 6
B.8 + 10 - 3 + 5 x 6 = 8
C.6 x 2 + 3 + 12 - 3 = 15
D.3 + 7 - 5 x 1 0 + 3 = 10

Answer: B

Correct answer: 8 + 10 – 3 + 5 x 6 = 8

This item cannot be worked as it stands: the list of substitutions in the stem has been damaged, with the same sign appearing against more than one operation and one of the four definitions lost altogether. Until the original wording is restored, no consistent set of replacements can be applied to test the four equations against one another.

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100.

It being given that : > denotes +, < denotes denotes =,>

A.3 + 2 > 4 < 9 + 3 < 2
B.3 > 2 > 4 = 18 + 3 < 1
C.3 > 2 < 4 x 8 + 4 < 2
D.3 + 2 < 4 x 9 + 3 < 3

Answer: C

Correct answer: 3 > 2 < 4 x 8 + 4 < 2

This item cannot be worked as it stands: the stem breaks off part way through the list of definitions, so only the meaning of the first symbol survives. Without the full set of substitutions the four expressions cannot be evaluated or compared.

Discuss in Forum

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