Questions based on Integers

Extra Questions Based on chapter-1 Integer 

This page consists of questions based on chapter -1 Integers of class 7 Maths and has MCQ-based questions with detailed explanations. to check out the solution of any MCQ click on the Answer. do solve NCERT textbook questions with the help of NCERT solutions for class 7 Maths. 

Questions for Integer Set-1 

[1 Mark for Each Question]

Q 1: If x + (-62) = -121, then the value of x will be

(a) -183.

(b) -59.

(c) 59.

(d) 183.

Ans: (b)

Explanation: x + (-62) = -121

or x – 62 = -121

or x = -121 + 62 = -59.

Q 2: If 42 = -6a, then the value of a will be

(a) –6.

(b) -7.

(c) -8.

(d) -9.

Ans: (b)

Explanation: 42 = -6a

or -6a = 42

or a = 42/(-6)= -7.

Q 3: The ascending order of 45, -29, 21, -45 and 23 is

(a) -45, -29, 21, 23, 45.

(b) 21, 23, 45, –45, -29.

(c) 21, 23, -29, 45, -45.

(d) 45, 23, 21, -29, -45.

Ans: (a)

Explanation:

[Ascending order means arranging the numbers from the smallest to the greatest]

Q 4: The descending order of -5, -17, 10, -14 and 2 is

(a) 10, 2, -5, -14, -17.

(b) -17, -14, -5, 2, 10.

(c) -5, -14, -17, 2, 10.

(d) 2, 10, -5, -14, -17.

Ans: (a)

Explanation:

[Descending order means arranging the numbers from the greatest to the smallest.]

Q 5: On simplification of the arithmetic expression

(3 x 60) + (3 x 0), we get

(a) 0.

(b) 80.

(c) 175.

(d) 180.

Ans: (d)

Explanation:

(3 x 60) + (3 x 0) = 180 + 0 = 180.

Q 6: After simplification of the arithmetic expression

(2 x 20) + (2 x 4), we get

(a) 5.

(b) 40.

(c) 48.

(d) 100.

Ans: (c)

Explanation:

(2 x 20) + (2 x 4) = 40 + 8 = 48.

Q 7: If 6 = 96 a then the value of a will be

(a) 0.

(b) 6.

(c) 16.

(d) 96.

Ans: (c)

Explanation:

6 = 96 a

or a = 96 6 = 16.

Q 8: If 54 x = 9, then the value of x will be

(a) -6.

(b) 6.

(c) 9.

(d) 54.

Ans: (b)

Explanation:

54 x = 9

or x = 54 9 = 6.

Q 9: Reciprocal of 1/5 is

(a) -1/5.

(b) -5.

(c) 1.

(d) 5.

Ans: (d)

Explanation:

[We know the reciprocal of x = 1/x]

Q 10: On simplification of [(-5) + 8] (4 – 1), we get the result

(a) 0.

(b) 1.

(c) 9.

(d) 10.

Ans: (b)

Explanation:

[(-5) + 8] (4 – 1)

= (-5 + 8) 3 = 3 3 = 1.

Questions for Integer Set-2

Q 11: The simplified value of the given expression

[12 +{6 –(5 2 -5) -7 +2 3} +8] is

(a) 12.

(b) 15.

(c) 20.

(d) 24.

Ans: (c)

Explanation:

[12 + {6 - (5 x 2 - 5) -7 + 2 x 3} + 8]

= [12 + {6 - (10 –5) -7 + 6} + 8]

= [12 + {(6 - 5) – 7 + 6} + 8]

= [12 + (1 -7 + 6) + 8]

= [12 + 0 + 8]

= 20.

Q 12: Among the given integers, the greatest integer is

(a) -5.

(b) -12.

(c) 5.

(d) 12.

Ans: (d)

Explanation:

[-12 < -5 < 5 < 12]

Q 13: The smallest integer in the given options, is

(a) -1.

(b) 0.

(c) 1.

(d) 2.

Ans: (a)

Explanation:

[-1 < 0 < 1 < 2]

Q 14: The value of x in the given pattern 12, 9, 6, 3, 0, x would be

(a) -4.

(b) -3.

(c) 1.

(d) 2.

Ans: (b)

Explanation:

[Since, 9 - 12 = -3, 6 - 9 = -3, similarly x = 0 - 3 = -3]

Q 15: The integer, which is neither positive nor negative, is

(a) 0.

(b) 1.

(c) 2.

(d) 3.

Ans: (a)

Explanation:

[0 is the only integer, which is neither positive nor negative]

Q 16: The sum of two integers is -25. If one of them is -30 then the other will be

(a) -5.

(b) 5.

(c) 20.

(d) 25.

Ans: (b)

Explanation:

Let the other integer = x

Given x + (-30) = -25

Or x = -25 + 30 = 5

Therefore the other integer will be 5.

Q 17: One more than the successor of -41 is

(a) -38.

(b) -39.

(c) -40.

(d) -41.

Ans: (b)

Explanation:

We know that

successor of x = x + 1

Thus, the successor of –41 = -41 + 1 = -40

Q 18: Two more than the successor of 0 is

(a) -2.

(b) -1.

(c) 2.

(d) 3.

Ans: (d)

Explanation:

We know that successor of x = x + 1

Thus, the successor of 0 = 1

And, two more than the successor of 0 = 1 + 2 = 3.

Q 19: One less than the predecessor of -99 is

(a) -100.

(b) -101.

(c) 100.

(d) 101.

Ans: (b)

Explanation:

We know that predecessor of x = x - 1

Thus, the predecessor of -99 = -100

And one less than the predecessor of -99 = -101.

Q 20: One more than the predecessor of 1 is

(a) -1.

(b) 0.

(c) 1.

(d) 2.

Ans: (c)

Explanation:

We know that predecessor of x = x - 1

Thus, the predecessor of 1 = 0

And one more than 0 = 1.

Questions for Integer Set-3

Q 21: All integers between 0 and 3 are

(a) 0, 1, 2, 3.

(b) 1, 2.

(c) –1, -2.

(d) 1, 2, 3.

Ans: (b)

Explanation:

All integers between 0 and 3 = 1, 2.

Q 22: If we subtract the sum of -5 and -15 from the sum of

-12 and 34, then the resultant value would be

(a) -42.

(b) 0.

(c) 42.

(d) 50.

Ans: (c)

Explanation:

According to the given question,

(-12 + 34) – {-5 + (-15)}

= 22 – (-5 – 15)

= 22 – (-20)

= 22 + 20 = 42

Q 23: The product of 0 and -12 is

(a) -12.

(b) 0.

(c) 1.

(d) 12.

Ans: (b)

Explanation:

We know that the product of an integer and 0 is always 0.

Q 24: The product of two integers is 100. If one of them is 20 then the other integer is

(a) -5.

(b) 5.

(c) 20.

(d) 80.

Ans: (b)

Explanation:

Let the other integer = a

According to the question,

a x 20 = 100

or a = 100/20 = 5.

Hence, the other integer will be 5.

Q 25: The product of two integers is 121. If one of them is -11 then the other integer is

(a) -12.

(b) -11.

(c) 11.

(d) 12.

Ans: (b)

Explanation:

Let the other integer = a

According to the question,

a x (-11) = 121

or a = 121/(-11) = -11.

Hence, the other integer will be -11.

Q 26: An integer, on the given number line, is greater than every number

(a) from 0.

(b) from 1.

(c) on its left.

(d) on its right.

Ans: (c)

Explanation:

In the above number line, every number on its right is greater than its left

i.e., …………… < -3 < -2 < -1 < 0 < 1 < 2 < 3 < ……………

Q 27: If +25 represents gain of Rs 25, then –20 represents

(a) loss of Rs 20.

(b) gain of Rs 20.

(c) loss of Rs 5.

(d) gain of Rs 5.

Ans: (a)

Explanation:

Here, profit is represented by positive integers and loss by negative

integers.

Q 28: A man walks 22m due East and then 17m due West. The position of the man with respect to his starting point is

(a) 5m due West.

(b) 5m due East.

(c) 89m due West.

(d) 89m due West.

Ans: (b)

Explanation:

Let 22m due East be represented by +22, then –17m represents 17m due West.

On adding, +22 – 17 = +5 (positive)

The position of the man with respect to his starting point= 4m due East

Q 29: The temperature of a body first falls by 23⁰ C and then rises by 42⁰ C. If its initial temperature was 5⁰ C, then the final temperature of the body is

(a) 19⁰ C.

(b) 24⁰ C.

(c) 65⁰ C.

(d) 70⁰ C.

Ans: (b)

Explanation:

Final temperature = 5⁰ C + (-23⁰ C) + (42⁰ C) = 24⁰ C

Q 30: The temperature of a body first rises by 18⁰ C and then falls by 21⁰ C. If its initial temperature was -25⁰ C then the final temperature of the body is

(a) -3⁰ C.

(b) -14⁰ C.

(c) -28⁰ C.

(d) -64⁰ C.

Ans: (c)

Explanation:

Final temperature = -25⁰ C + (18⁰ C) + (-21⁰ C) = -28⁰ C

Q 31: A boy walks 60m due North and then 75m due South. The position of the boy with respect to his starting point is

(a) 15m due North.

(b) 15m due South.

(c) 135m due North.

(d) 135 due south.

Ans: (b)

Explanation:

Let 60m due North be represented by +60, then –75m represents 75m due

South.

On adding, +60 – 75 = -15 (negative)

The position of the man with respect to his starting point= 15m due South

Q 32: The sum of two integers is 7 and their difference is also 7. The value of two integers is

(a) 2 and 5.

(b) 3 and 4.

(c) 5 and 2.

(d) 7 and 0.

Ans: (d)

Explanation:

Let x and y be two integers. Then according to the given question,

x + y = 7 and x – y = 7

On solving, we get

x = 7 and y = 0

Q 33: The difference between a temperature of 7⁰ C above zero and a temperature of 3⁰ C below zero is

(a) 10⁰ C.

(b) 7⁰ C.

(c) 4⁰ C.

(d) 3⁰ C.

Ans: (a)

Explanation:

Difference between a temperature of 7⁰ C above zero and a temperature of 3⁰ C below zero = 7⁰ C – (-3⁰ C) = 10⁰ C

Q 34: The sum of two integers is 136. If one of the integers is 45, then the other integer is

(a) 90.

(b) 91.

(c) 92.

(d) 93.

Ans: (b)

Explanation:

Let the other integer = x

Given x + 45 = 136

Or x = 136 - 45 = 91

Q 35: The sum of two integers is -25. If one of the integers is 25, then the other integer is

(a) 50.

(b) 0.

(c) -25.

(d) -50.

Ans: (d)

Explanation:

Let the other integer = x

Given x + 25 = -25

Or x = -25 - 25 = -50

Q 36: If we add –22 to the difference of –7 and –17, then we get

(a) -46.

(b) -32.

(c) -12.

(d) -10.

Ans: (c)

Explanation:

(-22) + [(-7) – (-17)] = -22 + (10) = -12

Q 37: The simplified value of the given expression

[14 - 3{3 –(7 - 4)} +3(5 + 3 – 2)] is

(a) 12.

(b) 15.

(c) 32.

(d) 34.

Ans: (c)

Explanation:

14 - 3{3 – (7 – 4)} + 3(5 + 3 – 2)

= 14 – 3(3 – 3) + 3(6)

= 14 – 0 + 18 = 32

Q 38: The simplified value of the given expression

12[25 – {5 x 8(11 – 2 x 5)}] is

(a) 140.

(b) 100.

(c) -150.

(d) –180.

Ans: (d)

Explanation:

12[25 – {5 x 8(11 – 2 x 5)}]

= 12[25 – (5 x 8)] = 12[25 – 40] = -180

Q 39: Additive inverse of 15 will be

(a) 1/15.

(b) 15.

(c) -15.

(d) 1/(-15).

Ans: (c)

Explanation:

Additive inverse of a number means the opposite of a number.

Therefore, additive inverse of 15 is –15.

Q 40: Multiplicative inverse of 9 will be

(a) -9.

(b) -3.

(c) 1/9.

(d) 9.

Ans: (c)

Explanation:

The multiplicative inverse of x is 1/x.

Questions for Integer Set-4

Q 41: The product of two integers is –72. If one of them is 12, then the

other integer will be

(a) -6.

(b) -2.

(c) 6.

(d) 26.

Ans: (a)

Explanation:

Let the other integer = a

According to the question,

a x 12 = -72

or a = -72/12 = -6

Q 42: The product of two integers is 120. If one of them is -8, then the

other integer will be

(a) -20.

(b) -15.

(c) -12.

(d) -10.

Ans: (b)

Explanation:

Let the other integer = a

According to the question,

a x (-8) = 120

or a = 120/(-8) = -15

Q 43: If we add ‘x’ to –25 we get 15, then the value of x is

(a) -35.

(b) -10.

(c) 10.

(d) 40.

Ans: (d)

Explanation:

According to the question,

x + (-25) = 15

or x = 15 + 25 = 40

Q 44: A car traveled North of Delhi by 90km and then to the South by 120km. The position of the car with respect to its starting point is

(a) 30km due North.

(b) 30km due South.

(c) 210km due North.

(d) 210km due south.

Ans: (b)

Explanation:

Let 90km due North be represented by +90, then –120km represents 120km due South.

On adding, +90 – 120 = -30 (negative)

The position of the car with respect to its starting point = 30km due South

Q 45: The opposite of a number 0 is

(a) -0.

(b) -1.

(c) 0.

(d) 1.

Ans: (c)

Explanation:

Opposite of a positive number gives a negative number and vice-versa. Since the number zero (0) cannot be considered as positive or negative, thus, the opposite of number zero (0) will be zero (0).

Q 46: The opposite of 20% increases is

(a) 20% increase.

(b) 20% decrease.

(c) 80% increase.

(d) 80% decrease.

Ans: (b)

Explanation:

Here, 20% increase represents a profit, then its opposite will be its negative, i.e., loss or we say, 20% decrease.

Q 47: If we subtract –100 from 100, then we get

(a) -100.

(b) 0.

(c) 100.

(d) 200.

Ans: (d)

Explanation:

100 – (-100) = 100 + 100 = 200

Q 48: Absolute value of –45 is

(a) -45.

(b) 0.

(c) 1.

(d) 45.

Ans: (d)

Explanation:

The absolute value of an integer is its numerical value regardless of its sign.

For example, 12 is the absolute value of both 12 and –12.

Q 49: Absolute value of 121 is

(a) 121.

(b) 0.

(c) 1.

(d) -121.

Ans: (a)

Explanation:

The absolute value of an integer is its numerical value regardless of its sign.

For example, 10 is the absolute value of both 10 and –10.

Q 50: If we divide 1350 by –15, then we get

(a) -95.

(b) -90.

(c) 90.

(d) 100.

Ans: (b)

Explanation:

1350 (-15) = -90

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