# Integers Questions

We provide integers practice exercises, instructions, and a learning material that allows learners to study outside of the classroom. We focus on integers skills mastery so, below you will get all questions that are also asking in the competition exam beside that classroom. #### List of integers Questions

Question NoQuestionsClass
1The multiplicative identity for integers
is
( mathbf{A} cdot mathbf{0} )
B.
c. ( 0 . )
( D )
7
2( (+76)-(-34)= )
A. -110
B. -42
( mathbf{c} cdot+110 )
D. None of these
7
3Simplify ( [38 div(-57)] )7
4Prove: (+3)( [+(-7)=(-4) )7
5Fill in the blank.
( 13+_{-1}-dots )
7
6Fill in the blanks.
(i) The additive identity of the integers is P.
(ii) The integer which is 8 less than -24 is ( underline{Q}_{-} )
(iii) Every integer less than zero is ( R )
( begin{array}{lll}A cdot O & -32 & text { negative }end{array} )
B. ( 1-32 ) positive
c. ( 0-16 ) negative
D. 1 -32 negative
7
7Verify ( a-(-b)=a+b ) for the following values of a and b.
(i) ( a=21, b=18 )
(ii) ( a=118, b=125 )
7
8Fill in the blanks with ( >,< ) or ( =operatorname{sign} ) ( \$ \$(-21)-(-10) )
( ? )
7
9State true or false
( (-5)-4=-9 )
A. True
B. False
7
10Solve: ( (-12) times(-3) times 4 times(-6)=? )
( mathbf{A} cdot-144 )
B . -908
c. +864
( mathbf{D} cdot-864 )
7
11Fill in the blanks
( (-8)+(-3)= )
7
12Difference of sums of 998 and -486
from 290 and 732
A . – -510
B. +510
c. – -1022
D. +512
7
13( (-8) times(-4)= )
( A cdot-8 )
B. -32
( c cdot-4 )
( D cdot+32 )
7
14Subtract
75 from ( 98-25+4 )
( A cdot 2 )
B. 5
( c cdot-2 )
D.
7
15Find each of the following products:
(a) ( -10 times 9 )
(b) ( (-20) times(-10) )
(c) ( (-4) times(-6) )
7
16( 5.63 times 11 ) is equal to
A . 62
B. ( 83 . overline{93} )
c. 83.93
D. 83.93
7
17Find the missing number:
( (+6) times—–(-42) )
7
18Which of the following statements are
true?

Of the two integers, if one is negative, then their product must be positive.
A. True
B. False

7
19Find :
( 2 times 2 )
7
20Find the sum: ( (-7)+(-9)+4+16 )7
21Evaluate:
( (-10)+(+19) )
7
22Find the sum of -23 and 37
23Evaluate ( -12 times 21 )
A ( .-2412 )
B . -242
( mathbf{c} .-252 )
D. +252
7
24Do the following subtraction with the help of numberline:
( 8-2 )
7
25Find the sum of:
-127 and 300
7
26Fill in the blanks with ( >,< ) or ( =operatorname{sign} ) ( \$ \$-45-(-11) )
( -57+(-4) \$ \$ ? )
7
27The addition of two numbers is ( -36 . ) If
one number is twice the another
number. What are the two numbers
A. (-18,-18)
(i) (-18,-18,-18),(8)
B. (-2,-34)
c. (12,24)
D. (-12,-24)
7
28Find the sum of:
256 from -312
7
29The addition of two numbers is ( -72 . ) If
one number is thrice the another
number. Find the greater number
A. -9
B. -18
c. -54
D. -11
7
30Solve the following:
( 17-(-14) )
7
31Evaluate ( (-6) times(-2) )
A . -8
B. +8
c. -12
D. +12
7
32The sum of two integers is ( -35 . ) If one of them is ( 40, ) then the other is.
A . 5
B. -75
c. 75
D. -5
7
33What will be the sign of the product if
we together multiply 199 negative integers and 10 positive integers?
A. Negative
B. Positive
c. can’t say
D. Data is insufficient
7
34Subtract -6 from 37
35The additive identity element in the set
of integers is:
A .
B. – –
c. 0
D. None of these
7
36The value of ( frac{15 times(-24) times-18}{-(27) times(20)} ) is
A . -16
B . -15
( c cdot-12 )
D. 12
7
A. 0
в. -10
( c .8 )
D. none
7
38If ( x, y, z ) are three consecutive positive integer, then ( log (1+z x) ) is
equal to
7
39Solve :
( (-2)+8+(-4) )
7
40Find the general expressions for two positive integers which are such that if their product is taken from the sum of
their squares the difference is a perfect
square
7
41Subtract the following with the help of
numberline:
( (-3)-6 )
7
42( -50 div 7 ) find the quotient and
remainder.
7
43Find the value of ( (-144) div(+16) )
( A cdot+9 )
B. +11
( c .-9 )
D. -11
7
44The product of each positive integer with -1 is always
A. Positive
B. Negative
( c cdot 0 )
D. None of these
7
45The value of ( frac{-18 times 5}{3 times(-10)} ) is
A. 3
B. 6
( c cdot 4 )
( D cdot-3 )
7
46( (+132) div(-12) )
A ( .+101 )
в. -10
( c cdot+11 )
D. -11
7
47The value of ( 52-27+67-48 ) is
A .44
B. 45
c. 46
D. -44
7
48( (-144) div(+16) )
( A cdot+9 )
B. +11
( c .-9 )
D. -11
7
49Observe the given multiplies of 37
( 37 times 3=111 )
( 37 times 6=222 )
( 37 times 9=333 )
( 37 times 12=444 )
Find the product of ( 37 times 27 ? )
A . 999
B. Greatest 3 digit number
c. Either A or B
D. Smallest 3-digit number
7
50( (-1)(-1)(-1)(-1)(-1)=dots dots )7
51Which integer is the additive inverse of
itself?
A . -1
B.
c. 0
( D )
7
52What value should come in place of
question mark (?) in the questions given below? ( 29+729=? )
A. 758
B. 763
( c cdot 741 )
D. 75
7
53At Jammu temperature was ( -5^{circ} mathrm{C} ) on
Monday and then it dropped by ( 2^{circ} mathrm{C} ) on
Tuesday. What was the temperature of Jammu on Tuesday
7
54Evaluate ( (-9) times 7 times(-11) )7
55Subtract -30 from -10
( A cdot+20 )
B . 40
( c cdot-20 )
D. -40
7
56Simplify: ( frac{(-33) times(96)}{(11) times(-24)} )
A. -14
B. 12
c. 10
D. -12
7
57Subtract 1732765 from 3673124 in the
scale of eight.
7
58( (-12)-(-6)= )
( A cdot-6 )
B . -18
( c cdot+6 )
D. None of these
7
59Find the sum of the following.
i) -5,-4,-6 and -17
7
60Add: ( 87-35 ) and ( 35-87 )
A .
B . – -65
( c .-35 )
D. 87
7
(1) ( 1+(-7) )
(2) ( (-13)+ )
(18)
(3) ( (-10)+(19) )
(4)
( (-250)+(150) )
(5) ( (-380)+(-270) ) ( (-217)+(-100) )
7
62( -32 times x=160,-23 times y=-115 )
What is the value of ( x div y ? )
A . -1
B.
( c .-5 )
D. 5
7
63Fill in the blanks.
The – – – – consists of natural numbers,
zero and negative of natural numbers. Zero is called the ( -dots-dots ) called the
multiplicative identity
7
64Value of ( 2^{2} times(-3)^{2} times 2^{2} times(-4)^{2} ) is
A .2034
в. 2403
( c .2304 )
D. None of these
7
65Subtract the sum of -340 and 170 from
-45
7
66( A=12 B=15 ) find ( 5 A-3 B )7
67Difference of 23 and 17.081 is
A . 0.5919
B. 59.19
c. 591.9
D. 5.919
7
68Subtract the following with the help of
numberline:
( (-2)-7 )
7
69If ( 27 times 3=243 ) and ( 5 times 4=80 )
Then the value of ( 3 times 7 ) is
A . 84
B. 147
( c cdot 63 )
D. 23
7
70( (-46)+(+15)= )
A. +31
B. 31
( c cdot-31 )
D. none of these
7
71Sum of ( X ) and ( Y ) is ( -2 . ) If ( X=43 ), the ( Y )
is:
A . 45
в. -45
c. 41
D. -41
7
72The value of ( -5 times-2 times-2 times-3 ) is
( A cdot 80 )
B. 65
( c cdot 60 )
D. -60
7
73Positive of a negative integer is
A. negative
B. positive
c. zero
D. none of these
7
74Product of two integers with unlike
signs is –
A. 0
B. Positive
c. Negative
D. None of these
7
75The additive inverse of ( frac{2}{7} ) is
A ( cdot frac{2}{7} )
B. ( frac{-2}{7} )
c. ( frac{7}{2} )
D. ( frac{-7}{2} )
7
767. (1) 120 – 560 (2) 91 – 299
(3) 78 -169 (4) 104 – 429
7
77( (-5)+6=? )
A ( cdot(-1) )
в.
c. 11
D. (-11)
7
78If the dividend and divisor have unlike
signs then the quotient will be
A. Positive
B. Negative
c. zero
D. none of these
7
79Subtract the following algebraic expressions.
( 4 x ) from ( 8 x )
A .4
B. ( 4 x )
( c .-4 )
D. ( -4 x )
7
80Multiplication of a negative integer for
even times gives a result
A. negative
B. 0
c. positive
D. none
7
81( (-24)+(-28)= )
A . -52
B. +52
c. 0
D. None
7
A . -7
B. 0
( c cdot 7 )
D. 6
7
83Find the additive identity of the
integers.
7
84Subtract the sum of ( 865 &-493 ) from
the sum of ( -380 & 675 )
7
85( (-24) times(-2) times(-2) times 0 times(-4)= )
( mathbf{A} cdot+384 )
B . -384
c. 0
D. None of these
7
86Verify ( boldsymbol{a}-(-boldsymbol{b})=boldsymbol{a}+boldsymbol{b} ) for ( boldsymbol{a}= )
( mathbf{1 3 1}, boldsymbol{b}=mathbf{1 5} )
7
87Find the sum of -9,+14,+21,+19,+77
88Do following addition with the help of numberline:
( 8+(-6) )
7
89Subtract -24 from +38
( A cdot+14 )
B. +62
( c .-14 )
D. -62
7
90( (148) div(-4)= )
( A cdot+37 )
B. -37
( c cdot-38 )
D. None of these
7
91( (-1)^{11} ) value is
( A cdot+1 )
B.
( c cdot-1 )
D. none of these
7
( (-7)+(-8)+(-90) )
7
93Write down a pair of integers whose
sum is -7
A . -5,-2
в. 5,2
( c cdot-1,-6 )
D. both A and C
7
94Find the value of ( x ) in this equation:
( frac{392}{x}=-196 )
( A cdot 2 )
B. 4
( c .-2 )
D. –
7
95Multiply (-3) and (+5)7
96A TV was bought at a price of Rs. 21000
After 1 year the value of the TV was depreciated by ( 5 % ). (Depreciation means reduction of the value due to use
and age of the item). Find the value of
the TV after 1 year.
7
97Replace the blank with an integer to
make it a true statement.
[
times(-8)=-56
]
7
98The addition of two numbers is ( -120 . ) If
one number is four times the another
number. Find the greater number
A . -24
B. 96
( c cdot 24 )
D. – 96
7
99Solve ( frac{2^{3} times 3^{5} times 8}{27 times 36} )7
100Find the sum of :
-52 and 52
7
101Fill in the blanks with ( >,< ) or ( =operatorname{sign} ) ( (-3)+(-6) dots dots dots(-3)-(-6) )7
103The addition of two negative numbers is ( -108 . ) If one of the number is ( -79, ) find
the other number
A . -29
B . -187
c. 29
D. 187
7
104Do the following as directed.
From ( 21 v ) subtract ( -v )
A ( .22 v )
в. 200
( c cdot-20 v )
D. ( -22 v )
7
105Which of the following number sentences best describes the problem
shown on the number line?
A. ( -2+(-4) )
B. ( -5+3 )
c. ( 5+(-3) )
D. ( -4+2 )
7
106( 2850 div ?=75 )
A . 31
B. 34
( c cdot 38 )
D. 39
7
107Let ( m ) be a positive integer. Then al pairs of integers ( (x, y) ) such that ( x^{2}left(x^{2}+y^{2}right)=y^{m+1} ) is ( x=t^{5}+t^{3}, y= )
( t^{4}+t^{2} )
If true then enter 1 and if false then
enter 0
A. True
B. False
7
108State, whether the following statements are true or false.
If ( a0, ) then ( a-c<b-c )
where ( a, b, c ) are real numbers and ( c neq 0 )
A. True
B. False
7
109Find the largest number which divides
853 and 385 leaving remainder 7 in each case.
7
110( (-35)+(-32) ) is equal to
A . 67
B. -67
( c .-3 )
D. 3
7
111Evaluate:
( +5-6=? )
A . -1
B.
( c cdot 2 )
D. – 2
7
112The additive inverse of ( frac{-a}{b} ) is
A ( cdot frac{a}{b} )
B. ( frac{b}{a} )
c. ( frac{-b}{a} )
D. None of these
7
113For any integer ( mathbf{a}, boldsymbol{a} times mathbf{1}=mathbf{1} times boldsymbol{a}= )
( mathbf{A} cdot mathbf{1} )
B.
( c cdot a )
D. can not be calculated
7
114Subtract -26 from +32
A. – –
B. +6
( c .-58 )
( D cdot+58 )
7
115How much 5 is less than -2 is.
( A cdot 3 )
в. -3
( c cdot-7 )
D. 7
7
116The product of two rational numbers is
( -7 . ) If one of the numbers is ( -5, ) find the
other.
7
117Square of any -ve integer is
A. Negative
B. Positive
( c cdot 0 )
D. none of these
7
118The value of ( -5 times-12 times 2 times-3 ) is
A . -360
B. -380
( c .-400 )
D. 360
7
119If the product of two integers is 72 and one of them is ( -9, ) then the other
integer is.
A. -8
B. 8
c. 81
D. 63
7
120The sum of two integers is ( -23 . ) If one of
them is 18 , then the other is
A. -14
B. 14
c. 41
D. -41
7
121Simplify ( 3 times(-1) )
( A cdot 3 )
B. –
c. 1
D. 2
7
122Subtract the following with the help of
numberline:
( (-3)-(-2) )
7
123Do following addition with the help of
numberline:
( (-4)+5 )
7
124Subtract (-5) from (-9)
( A cdot 4 )
B. -4
c. -14
D. 14
7
125( mathbf{2 4} times mathbf{2 7}= )7
126Let ( n>2 ) be an integer and ( f: P rightarrow R ) a
function defined on the set of points in the plane, with the property that for any
regular n-gon ( boldsymbol{A}_{mathbf{1}} boldsymbol{A}_{mathbf{2}} ldots boldsymbol{A}_{boldsymbol{n}}, boldsymbol{f}left(boldsymbol{A}_{mathbf{1}}right)+ )
( boldsymbol{f}left(boldsymbol{A}_{2}right)+ldots+boldsymbol{F}left(boldsymbol{A}_{n}right)=mathbf{0} . ) Prove that
is the zero function.
A. fis zero function.
B. fis not a zero function
c. f is indefinite function.
D. fis not a function
7
127Find the additive inverse of the number ( frac{2}{8} )7
128Solve
( -12-(10 div 5)+5-(-2 times 3+5)+ )
( mathbf{6}-{(-mathbf{2} times mathbf{3}) times mathbf{1}+(-mathbf{3}-mathbf{5})} )
7
129In the first half of a trivia game, Mark
scored 200 points. Then, during the second half, he scored -100 points.
What was his final score?
A . 100
в. 300
c. -100
D. -200
7
130Find ( (-32)-(-50) )7
131Find the product of ( (-1) times(-2) times )
( (3) times 4 )
7
132Find the value of ( 703-1+1-400 )7
133( (-8) times(-2) times(+3) times(-4)= )
( mathbf{A} cdot+192 )
B. -192
( c cdot+28 )
D. –
7
134state whether the following statement
are true:

Additive inverse of a positive integer is negative.
A. True
B. False

7
135The additive inverse of 17 is:
A. -17
B. 17
c. ( frac{1}{17} )
D. ( -frac{1}{17} )
7
136Fill in the blanks:
( (-100) times(-6)=dots dots dots )
7
137Evaluate :
( mathbf{4} mathbf{9} times(-mathbf{9 7}) )
7
138Verify :
( mathbf{1 7} times(mathbf{9}+(-mathbf{3}))=(mathbf{1 7} times mathbf{9})+(mathbf{1 7} times )
(-3))
7
139Multiplication of a negative integer for even number of times gives a
number.
A. negative
B.
C. positive
D. none of these
7
140Simplify:
( mathbf{3 6} times(-mathbf{3})+(-mathbf{3 6}) times mathbf{7} )
7
141Solve: ( -(x-3)+4>-2 x+5 ) when ( x )
is a integer
7
142State the following statement is True or
False
The value of ( -32 times-13=-416 )
A . True
B. False
7
143Simplify : 6324 ( times 124 )7
144Calculate ( 34-98= )
A .132
B. 64
( c .-64 )
D. -132
7
145( -84 times dots dots=+84 )
A .
( B .+ )
( c cdot+84 )
D. –
7
146Write the additive inverse of ( frac{8}{5} )7
147Replace the blank with an integer to
make it a true statement.
( (-3) times—-=27 )
7
148Work out the answers to the following
calculate the number line.
( (-5)+(-4) )
7
149Fill in the blanks:
( (-3) times dots dots dots=3 )
7
150( (+13)-(+12) ) is equal to
( A cdot+1 )
( B cdot+13 )
( c cdot-1 )
D. None of these
7
151Simplify : ( (-13)-(+14) )7
152Fill in the blanks:
( mathbf{1 0 0} times(-mathbf{6})=dots dots dots )
7
153For any positive integer ( a ), what is ( (-1) times a ) equal to?7
154Sign of the product of 231 negative integer and 9 positive integer is
A. Negative
B. Positive
( c cdot 0 )
D. None of these
7
155( -675-(25)= )
( mathbf{A} cdot mathbf{0} )
в. 100
( c .700 )
D. – 700
7
156Multiply:
( (-5) times 8 ) and ( 3 times(-2) )
A . 240
B. 420
( c cdot-240 )
D. -420
7
157( -123-(-23)= )
A . 146
B . -146
( c .100 )
D. – 100
7
158What will be the missing number in the following equation ( (-8) times—–= ) (+32)( ? )7
159State the following statement as True or False.
Multiplication and Division of two negative numbers is always a negative
number.
A. True
B. False
7
160From the sum of -38 and ( 40 . ) subtract
( mathbf{1 2 0} )
7
161The value of ( 555 times 193-555 times 93 ) is
A .555,931
в. 1,210,321
c. 53,912
D. 55,500
7
162Simplify:
( 21-27+3+12 times(-1) )
7

Hope you will like above questions on integers and follow us on social network to get more knowledge with us. If you have any question or answer on above integers questions, comments us in comment box.