Mathematical Operations Questions and Answers

Q: In a certain code language, '+' represents 'x', '-' represents '+', 'x' represents '÷' and '÷' represents '-'. What is the answer to the following question? 642 x 6 ÷ 25 + 4 = ?

Correct answer: 7The code swaps the symbols: \( + \to \times \), \( - \to + \), \( \times \to \div \), \( \div \to - \). So \( 642 \times 6 \div 25 + 4 \) is read as \( 642 \div 6 - 25 \times 4 \).Applying BODMAS to the decoded expression: \[ 642 \div 6 - 25 \times 4 = 107 - 100 = \mathbf{7} \]

Q: If the signs + and / and the numbers 2 and 4 are interchanged, which one of the following four equations would be correct?

Correct answer: 2+4/6 = 8Exchanging the signs + and ÷, and the numbers 2 and 4, turns the left side into \( 4 \div 2 + 6 \), which is \[ 2 + 6 = \mathbf{8} \] None of the other equations balances after the same exchanges.

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 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 = ?

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

Q: If "K" denotes "multiplied by", "M" denotes "subtracted from", "J" denotes "added to" and "L" denotes "divided by", then 44 M 24 K 56 L 14 J 60 = ?

Correct answer: 8Replacing the letters gives \( 44 - 24 \times 56 \div 14 + 60 \), and by the usual order \[ 44 - 96 + 60 = \mathbf{8} \]

Q: Given interchanges : Signs + and - , numbers 4 and 8.

Correct answer: 4 - 8 + 12 = 0Making both swaps - the signs + and −, and the numbers 4 and 8 - turns this into \( 8 + 4 - 12 \), which is \( \mathbf{0} \). None of the other equations balances after the same two exchanges.

Q: If Q means 'add to', J means 'multiply by', T means 'substract from' and K means 'divide by' then 30 K 2 Q 3 J 6 T 5 = ?

Correct answer: 28Reading Q as +, J as ×, T as − and K as ÷ gives \( 30 \div 2 + 3 \times 6 - 5 \), and by the usual order \[ 15 + 18 - 5 = \mathbf{28} \]

Q: The following equation is incorrect. Which two signs should be interchanged to correct the equation? 15 x 12 + 40 ÷ 40 - 6 = 21

Correct answer: + and xExchanging + and × gives \( 15 + 12 \times 40 \div 40 - 6 \), which works out as \[ 15 + 12 - 6 = \mathbf{21} \]

Q: In the following question, correct the equation by interchanging two signs. 6 + 8 ÷ 4 - 4 = 8

Correct answer: + and -Exchanging + and − gives \( 6 - 8 \div 4 + 4 \), which works out as \[ 6 - 2 + 4 = \mathbf{8} \]

Q: 5068 / 37 x 4 = ?

Correct answer: 548Dividing first, \( 5068 \div 37 = 137 \), and then \[ 137 \times 4 = \mathbf{548} \]

Important Instructions

51.

In a certain code language, '+' represents 'x', '-' represents '+', 'x' represents '÷' and '÷' represents '-'. What is the answer to the following question?
642 x 6 ÷ 25 + 4 = ?

A.11
B.64
C.18
D.7

Answer: D

Correct answer: 7

The code swaps the symbols: \( + \to \times \), \( - \to + \), \( \times \to \div \), \( \div \to - \). So \( 642 \times 6 \div 25 + 4 \) is read as \( 642 \div 6 - 25 \times 4 \).

Applying BODMAS to the decoded expression: \[ 642 \div 6 - 25 \times 4 = 107 - 100 = \mathbf{7} \]

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52.

If the signs + and / and the numbers 2 and 4 are interchanged, which one of the following four equations would be correct?

A.4/2+3 = 6
B.2+4/3 = 3
C.4+2/6 = 1.5
D.2+4/6 = 8

Answer: D

Correct answer: 2+4/6 = 8

Exchanging the signs + and ÷, and the numbers 2 and 4, turns the left side into \( 4 \div 2 + 6 \), which is \[ 2 + 6 = \mathbf{8} \] None of the other equations balances after the same exchanges.

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53.

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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54.

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 = ?

A.18
B.28
C.31
D.103

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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55.

If "K" denotes "multiplied by", "M" denotes "subtracted from", "J" denotes "added to" and "L" denotes "divided by", then
44 M 24 K 56 L 14 J 60 = ?

A.16
B.72
C.8

Answer: C

Correct answer: 8

Replacing the letters gives \( 44 - 24 \times 56 \div 14 + 60 \), and by the usual order \[ 44 - 96 + 60 = \mathbf{8} \]

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56.

Given interchanges :

Signs + and - , numbers 4 and 8.

A.4 + 8 - 12 = 12
B.4 - 8 + 12 = 0
C.8 + 4 - 12 = 24
D.8 - 4 + 12 = 8

Answer: B

Correct answer: 4 - 8 + 12 = 0

Making both swaps - the signs + and −, and the numbers 4 and 8 - turns this into \( 8 + 4 - 12 \), which is \( \mathbf{0} \). None of the other equations balances after the same two exchanges.

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57.

If Q means 'add to', J means 'multiply by', T means 'substract from' and K means 'divide by' then 30 K 2 Q 3 J 6 T 5 = ?

A.18
B.28
C.31
D.103

Answer: B

Correct answer: 28

Reading Q as +, J as ×, T as − and K as ÷ gives \( 30 \div 2 + 3 \times 6 - 5 \), and by the usual order \[ 15 + 18 - 5 = \mathbf{28} \]

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58.

The following equation is incorrect. Which two signs should be interchanged to correct the equation? 15 x 12 + 40 ÷ 40 - 6 = 21

A.+ and x
B.+ and ÷
C.- and +
D.÷ and x

Answer: A

Correct answer: + and x

Exchanging + and × gives \( 15 + 12 \times 40 \div 40 - 6 \), which works out as \[ 15 + 12 - 6 = \mathbf{21} \]

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59.

In the following question, correct the equation by interchanging two signs.
6 + 8 ÷ 4 - 4 = 8

A.÷ and =
B.÷ and +
C.÷ and -
D.+ and -

Answer: D

Correct answer: + and -

Exchanging + and − gives \( 6 - 8 \div 4 + 4 \), which works out as \[ 6 - 2 + 4 = \mathbf{8} \]

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60.

5068 / 37 x 4 = ?

A.548
B.625
C.214
D.745

Answer: A

Correct answer: 548

Dividing first, \( 5068 \div 37 = 137 \), and then \[ 137 \times 4 = \mathbf{548} \]

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Mathematical Operations Questions and Answers

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