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Q1. By what number -3 must be multiplied to get -30?

• -10
• -2
• -1
• 10

Solution

____ x (-3) = -30 Thus, 10 x (-3) = -30

Q2. Product of two numbers is -5. If one of them is 1, the other is

• -5
• 5
• 1
• -1

Solution

Let the other number be a. Then, 1 x a = -5 i.e. a = -5

Q3. Division of two numbers is zero. If one of the numbers is -567, then other one is

• -567
• -1
• +1
• 0

Solution

Division by zero is not defined but when zero is divided by any integer, the result is 0.

Q4. The sum of two integers is always

• An integer
• A whole number
• A fraction
• A natural number

Solution

Consider two integers +3 and -5When we add these two, we get -2 as answer and -2 is an integer.

Q5. The temperature of +13^oC is ______ than the temperature of -13^oC.

• greater than or equal to
• lower
• higher
• equal

Solution

The temperature of +13^oC is higher than the temperature of -13^oC .

Q6. What number should be added to -3 to get -30?

• -10
• 3
• 26
• -27

Solution

Let the required number be x. Then, -3 + x = -30 x = -30 + 3 = -27

Q7. Additive inverse of a number x added to itself gives

• x
• -x
• -2x
• 0

Solution

Additive inverse of x  is -x.-x added to x givesx + (-x) = x - x = 0

Q8. The numbers -3, 0, 8, are all ______.

• Integers
• Natural numbers
• Whole number
• Counting numbers

Solution

The numbers -3, 0, 8, are all integers.

Q9. As per commutative law, 4 + 7 =

• 4 - 7
• 7 + 4
• 7 x 4
• 4 + (7)

Solution

As per commutative law, 4 + 7 = 7 + 4.

Q10. The sum of two positive integers is ______.

• Both positive and negative
• positive or negative
• negative
• positive

Solution

The sum of two positive integers is always positive.

Q11. Which number completes the below pattern of integers? -12, -9, -6, -3

• -1
• -2
• 1
• zero

Solution

When we add 3 to -12 we get -9When we add 3 to -9 we get  -6When we add 3 to -6 we get  -3When we add 3 to -3 we get 0

Q12. Product of two negative integers is:

• Always negative
• Always positive
• Both positive and negative
• Either positive or negative

Solution

Product of two negative integers is always positive.

Q13. Multiplication of integers is

• both commutative and associative
• commutative
• associative
• neither commutative nor associative

Solution

For any two integers a and b, ab = ba And, a(bc) = (ab)c So, multiplication of integers is both commutative and associative.

Q14. If a x (-1) = 22, then a is

• -22
• 22
• 1
• -1

Solution

a -1 = 22Then, a = -22Thus, (-22) (-1) = 22

Q15. Each negative integer is smaller than

• -10
• zero
• -1
• -2

Solution

On a number line all negative integers lie to the left of 0. Hence, each negative integer is smaller than zero

Q16. What is the integer obtained by adding the additive inverse of 16 to 32 times its multiplicative inverse?

• 14
• -18
• -14
• 9

Solution

Q17. The temperature of a town is -2^o Celsius at 4:00 A.M in the morning. As the day progresses, the temperature increases at an average rate of 2^o Celsius every 4 hours. What is the temperature at 4:00 P.M.?

• -1^o Celsius
• -4^o Celsius
• 0^o Celsius
• 4^o Celsius

Solution

Temperature at 4.00 A.M. = -2^o Celsius Rate of increase in temperature = 2^o Celsius every 4 hours Total hours between 4:00 A.M. and 4:00 P.M. = 12 hours 12 hours means three times a period of 4 hours. So, temperature increase after 12 hours = 2  3 = 6^o CelsiusThus, temperature at 4.00 P.M. = -2 + 6 = 4^o Celsius         

Q18. What is the additive inverse of -125?

• 1
• -125
• 125
• 0

Solution

We know that the additive inverse of an integer x is -xNow, additive inverse of -125 is -(-125) which is 125

Q19. The integer -2 - (-5) can also be written as

• -2 + (-5)
• -2 + 5
• 2 - 5
• 2 + 5

Solution

Negative of a negative integer is a positive integerSo - (-5) = +5So -2 - (-5) = -2 + 5

Q20. Which of the following integer gives 2 when divided by 36?

• 72
• -72
• 1
• -1

Solution

______ 36 = 2 Thus, 72 36 = 2

Q21. Division is a reverse operation of:

• Addition
• Subtraction
• Multiplication
• Negation

Solution

Division is a reverse operation of multiplication.

Q22. At mid-night, the temperature was 0^oC. Two hours later it was 5^oC colder. This means the temperature was

• -5^oC
• +10^oC
• +8^oC
• +5^oC

Solution

Temperature at mid-night= 0^oCTemperature after 2 hours = 5° colder= 5° below 0^oC= -5^oC

Q23. The integer representing a loss of Rs 578 is 

• 578
• -578
• -785
• 785

Solution

The integer representing loss of 578 rupees is - 578.

Q24. Which of the following statement is true about the integer zero?

• The integer zero is greater than every positive integer.
• The integer zero is greater than every negative integer.
• The integer zero is greater than every positive as well as negative integer.
• The integer zero is smaller than every negative integer.

Solution

The integer zero comes in the middle of the number line as shown below: Thus, it is greater than all negative integers and smaller than all positive integers.

Q25. When 0 is divided by a non zero integer the quotient is

• 0
• The integer itself
• Not defined
• 1

Solution

As per the property of division of integers, 0 divided by any non zero integer gives 0.

Q26. -5 + 9 + (-5) + (-10) + (1) is equal to

• 13
• -13
• -10
• 10

Solution

-5 + 9 + (-5) + (-10) + (1) -5 + 9 = 44 + (-5) = -1-1 + (-10) = -1 - 10 = -11-11 + 1 = -10So, -5 + 9 + (-5) + (-10) + (1) = -10

Q27. Integers are not closed under:

• Addition
• Subtraction
• Multiplication
• Division

Solution

Integers are not closed under division.

Q28. A gain of Rs. 5000 equals to ______ .

• +5000
• -5000
• + 10000
• + 500

Solution

A gain of 5000 is represented as + 5000.

Q29. In an exam involving negative marking, the maximum marks scored were 75 out of 100 and minimum marks scored were -6. How many marks less is the minimum marks from the maximum marks?

• 91
• -16
• 81
• -6

Solution

Maximum marks = 75Minimum marks = -6Difference between two marks = 75 - (-6) = 75 + 6 = 81So -6 is 81 marks less then 75

Q30. As per distributive law, a x (b + c) =

• a x b - a x c
• a x b x a + c
• a + b x a + c
• a x b + a x c

Solution

Distributive law says, a x (b + c) = a x b + a x c

Q31. Negative integers lie on which side of the number line?

• Left
• Right
• Centre
• None of the Above

Solution

Negative integers lie on left side of number line.

Q32. Which integer gives 0 when divided by 315?

• 72
• -1
• -72
• 0

Solution

When zero is divided by any integer, the result is 0.Thus, 0 315 = 0

Q33. Which of the following integers is same as its additive inverse?

• 1
• -1
• 5
• 0

Solution

We know that the additive inverse of an integer x is -xNow, additive inverse of 0 is -(0) which is again 0.

Q34. Additive inverse of -3 is:

• -3
• 3
• 1
• 0

Solution

3 is the additive inverse of -3.

Q35. Divide -90 by 15.

• 6
• -6
• 4
• -4

Solution

-90  15 = -6

Q36. Natural numbers, zero and the negatives of natural numbers together constitutes _______ .

• Fractions
• Whole numbers
• Real numbers
• Integers

Solution

Natural numbers, zero and the negatives of natural numbers together constitutes integers.

Q37. Which of the following number when divided by -6 gives 12?

• -18
• 72
• -72
• 84

Solution

____ (-6) = 12Thus, -72 (-6) = 12

Q38. Product of two numbers is zero. If one of them is -567, then the other numbers is

• +567
• 1
• -1
• 0

Solution

Any integer multiplied with zero gives zero. Hence, -567 x 0 = 0

Q39. 270 divided by which of the following number gives -54?

• -9
• -5
• 27
• 9

Solution

270 _____ = -54 Thus, 270 (-5) = -54

Q40. The sum of two integers is -5. If one of them is -3, then the other integer is?

• 2
• -2
• -7
• 7

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