Mathematical Operations Questions and Answers

Q: 3 x 3 + 3 - 3 + 3 = ?

Correct answer: 12Multiplication comes first, so the expression is \( 9 + 3 - 3 + 3 \), which is \[ \mathbf{12} \]

Q: If 324⊕289 = 35, 441⊕484 = 43, then 625⊕400 = ?

Correct answer: 45The operation adds the square roots: \( \sqrt{324} + \sqrt{289} = 18 + 17 = 35 \) and \( \sqrt{441} + \sqrt{484} = 21 + 22 = 43 \). So \[ \sqrt{625} + \sqrt{400} = 25 + 20 = \mathbf{45} \]

Q: 5068 / 37 x 4 = ?

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

Q: In a certain code language, '÷' represents '+', '-' represents 'x', '+' represents '÷' and 'x' represents '-'. Find out the answer to the followingquestion. 8 ÷ 14 - 20 + 5 x 2 = ?

Correct answer: 62Replacing the symbols gives \( 8 + 14 \times 20 \div 5 - 2 \). Multiplication and division first: \[ 8 + 56 - 2 = \mathbf{62} \]

Q: In a certain code language, '-' represents 'x', '÷' represents '+', '+' represents '÷' and 'x' represents '-'. Find out the answer to the following question.19 ÷ 2 - 35 + 10 x 6 = ?

Correct answer: 20Replacing the symbols gives \( 19 + 2 \times 35 \div 10 - 6 \), and by the usual order \[ 19 + 7 - 6 = \mathbf{20} \]

Q: If (-) stands for division, (+) stands for multiplication, (÷) stands for subtraction and (×) stands for addition, which one of the following equations is correct?

Correct answer: 100+5−10×250÷200 = 100Reading + as ×, − as ÷, × as + and ÷ as − turns the left side into \( 100 \times 5 \div 10 + 250 - 200 \), which is \[ 50 + 250 - 200 = \mathbf{100} \] matching the right side. None of the other equations balances when the same substitutions are made.

Q: If 4 x 9 x 3 = 4 and 5 x 3 x 1 = 3, then 9 x 9 x 7 = ?

Correct answer: 5In each case the three numbers are added and the square root taken: \( \sqrt{4+9+3} = \sqrt{16} = 4 \) and \( \sqrt{5+3+1} = \sqrt{9} = 3 \). So \[ \sqrt{9+9+7} = \sqrt{25} = \mathbf{5} \]

Q: If, 1*2= 1, 2*3= 1 and 3*4= 5, Then find the value of 7*9= ?

Correct answer: -47The rule is \( a * b = a + b - ab \): \( 1+2-2 = 1 \), \( 2+3-6 = -1 \) and \( 3+4-12 = -5 \). So \[ 7 * 9 = 7 + 9 - 63 = \mathbf{-47} \]

Important Instructions

51.

3 x 3 + 3 - 3 + 3 = ?

A.9
B.12
C.-3
D.3

Answer: B

Correct answer: 12

Multiplication comes first, so the expression is \( 9 + 3 - 3 + 3 \), which is \[ \mathbf{12} \]

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52.

If 324⊕289 = 35, 441⊕484 = 43, then 625⊕400 = ?

A.431
B.413
C.341
D.45

Answer: D

Correct answer: 45

The operation adds the square roots: \( \sqrt{324} + \sqrt{289} = 18 + 17 = 35 \) and \( \sqrt{441} + \sqrt{484} = 21 + 22 = 43 \). So \[ \sqrt{625} + \sqrt{400} = 25 + 20 = \mathbf{45} \]

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53.

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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54.

What is x squared plus x squared?

A.4x
B.2x^2
C.x^4
D.2x

Answer: B

In an algebraic expression, like terms are terms that contain the same variables raised to the same powers. Calculating x-squared plus x-squared is a matter of combining like terms.

Now x^2 + x^2 = 2x^2

Hence, x-squared plus x-squared is equal to 2 times x squared.

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55.

In a certain code language, '÷' represents '+', '-' represents 'x', '+' represents '÷' and 'x' represents '-'. Find out the answer to the followingquestion. 8 ÷ 14 - 20 + 5 x 2 = ?

A.46
B.62
C.32
D.14

Answer: B

Correct answer: 62

Replacing the symbols gives \( 8 + 14 \times 20 \div 5 - 2 \). Multiplication and division first: \[ 8 + 56 - 2 = \mathbf{62} \]

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56.

1/2 - 1/8 =

A.1/2
B.3/8
C.2/3
D.3/2

Answer: B

Now to find the difference in the given fractions, 1/2 - 1/8

First take the LCM of 2 & 8

LCM of 2 & 8 is 8

Then,

1/2 - 1/8

= (4 - 1)/8

= 3/8

Hence, 1/2 - 1/8 = 3/8.

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57.

In a certain code language, '-' represents 'x', '÷' represents '+', '+' represents '÷' and 'x' represents '-'. Find out the answer to the following question.19 ÷ 2 - 35 + 10 x 6 = ?

A.20
B.14
C.32
D.16

Answer: A

Correct answer: 20

Replacing the symbols gives \( 19 + 2 \times 35 \div 10 - 6 \), and by the usual order \[ 19 + 7 - 6 = \mathbf{20} \]

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58.

If (-) stands for division, (+) stands for multiplication, (÷) stands for subtraction and (×) stands for addition, which one of the following equations is correct?

A.100+5−10×250÷200 = 100
B.200+10−20×200÷100 = 150
C.50×5÷10+100−75 = 50
D.300+5−20×200÷100 = 200

Answer: A

Correct answer: 100+5−10×250÷200 = 100

Reading + as ×, − as ÷, × as + and ÷ as − turns the left side into \( 100 \times 5 \div 10 + 250 - 200 \), which is \[ 50 + 250 - 200 = \mathbf{100} \] matching the right side. None of the other equations balances when the same substitutions are made.

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59.

If 4 x 9 x 3 = 4 and 5 x 3 x 1 = 3, then
9 x 9 x 7 = ?

Answer: A

Correct answer: 5

In each case the three numbers are added and the square root taken: \( \sqrt{4+9+3} = \sqrt{16} = 4 \) and \( \sqrt{5+3+1} = \sqrt{9} = 3 \). So \[ \sqrt{9+9+7} = \sqrt{25} = \mathbf{5} \]

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60.

If, 1*2= 1,
2*3= 1 and
3*4= 5, Then find the value of 7*9= ?

A.-47
B.-29
C.-2
D.-9

Answer: A

Correct answer: -47

The rule is \( a * b = a + b - ab \): \( 1+2-2 = 1 \), \( 2+3-6 = -1 \) and \( 3+4-12 = -5 \). So \[ 7 * 9 = 7 + 9 - 63 = \mathbf{-47} \]

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Mathematical Operations Questions and Answers

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Mathematical Operations Questions and Answers

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