618 + Interview Questions in INTEGERS IN GENERAL AWARENESS Page 3 InterviewSolution

101.	State whether the statements are True or False.a × b = b × a
Answer» True a × b = b × a

101.

State whether the statements are True or False.a × b = b × a

Answer»

True

a × b = b × a

Discussion

102.	State whether the statements are True or False.(-3) × 3 = (-12) – (-3)
Answer» True Since, (-3) × 3 = (- 9) and (-12) – (-3) = (-12) + 3 = (-9)

102.

State whether the statements are True or False.(-3) × 3 = (-12) – (-3)

Answer»

True

Since, (-3) × 3 = (- 9)

and (-12) – (-3) = (-12) + 3 = (-9)

Discussion

103.	State whether the statements are True or False.(-1) × (-2) × (-3) = 1 × 2 × 3
Answer» False (-1) × (-2) × (-3) = 1 × 2 × (-3) = 2 × (-3) = (-6) but 1 × 2 × 3 = 6

103.

State whether the statements are True or False.(-1) × (-2) × (-3) = 1 × 2 × 3

Answer»

False

(-1) × (-2) × (-3) = 1 × 2 × (-3) = 2 × (-3) = (-6)

but 1 × 2 × 3 = 6

Discussion

104.	State whether the statements are True or False.a ÷ (- b) = – (a ÷ b)
Answer» True a ÷ (- b) = a/-b = -(a/b) = -(a ÷ b)

104.

State whether the statements are True or False.a ÷ (- b) = – (a ÷ b)

Answer»

True

a ÷ (- b) = a/-b = -(a/b) = -(a ÷ b)

Discussion

105.	State whether the statements are True or False.a ÷ b = b ÷ a
Answer» False As division is not commutative for integers, ∴ a ÷ b ≠ b ÷ a

105.

State whether the statements are True or False.a ÷ b = b ÷ a

Answer»

False

As division is not commutative for integers,

∴ a ÷ b ≠ b ÷ a

Discussion

106.	State whether the statements are True or False.a – b = b – a
Answer» False As subtraction is not commutative for integers. ∴ a – b ≠ b – a

106.

State whether the statements are True or False.a – b = b – a

Answer»

False

As subtraction is not commutative for integers.

∴ a – b ≠ b – a

Discussion

107.	State whether the statements are True or False.4 × (-5) = (-10) × (-2)
Answer» False 4 × (-5) = – 20 but (-10) × (-2) = 10 × 2 = 20

107.

State whether the statements are True or False.4 × (-5) = (-10) × (-2)

Answer»

False

4 × (-5) = – 20

but (-10) × (-2) = 10 × 2 = 20

Discussion

108.	State whether the statements are True or False.(-20) × (5 – 3) = (-20) × (-2)
Answer» False (-20) × (5 – 3) = (-20) × 2 = (-40) but (-20) × (-2) = 20 × 2 = 40

108.

State whether the statements are True or False.(-20) × (5 – 3) = (-20) × (-2)

Answer»

False

(-20) × (5 – 3) = (-20) × 2 = (-40)

but (-20) × (-2) = 20 × 2 = 40

Discussion

109.	State whether the statements are True or False. – 3 × 3 = – 12 – ( – 3)
Answer» – 3 × 3 = – 12 – ( – 3) True

109.

State whether the statements are True or False. – 3 × 3 = – 12 – ( – 3)

Answer»

– 3 × 3 = – 12 – ( – 3)

True

Discussion

110.	State whether the statements are True or False.(– 19) × (– 11) = 19 × 11
Answer» True As the product of numbers with same signs are equal to the absolute value (– 19) × (– 11) = 19 × 11 = 209

110.

State whether the statements are True or False.(– 19) × (– 11) = 19 × 11

Answer»

True

As the product of numbers with same signs are equal to the absolute value

(– 19) × (– 11) = 19 × 11 = 209

Discussion

111.	State whether the statements are True or False.When we change the order of integers, their sum remains the same.
Answer» .When we change the order of integers, their sum remains the same. True

111.

State whether the statements are True or False.When we change the order of integers, their sum remains the same.

Answer»

.When we change the order of integers, their sum remains the same.

True

Discussion

112.	State whether the statements are True or False. ( – 1) × ( – 2) × ( – 3) = 1 × 2 × 3
Answer» ( – 1) × ( – 2) × ( – 3) = 1 × 2 × 3 False

112.

State whether the statements are True or False. ( – 1) × ( – 2) × ( – 3) = 1 × 2 × 3

Answer»

( – 1) × ( – 2) × ( – 3) = 1 × 2 × 3

False

Discussion

113.	State whether the statements are True or False.When we change the order of integers, their sum remains the same.
Answer» True When we change the order of integers, their sum remains the same.

113.

State whether the statements are True or False.When we change the order of integers, their sum remains the same.

Answer»

True

When we change the order of integers, their sum remains the same.

Discussion

114.	State whether the statements are True or False.Going 500 m towards east first and then 200 m back is same as going 200 m towards west first and then going 500 m back.
Answer» Going 500 m towards east first and then 200 m back is same as going 200 m towards west first and then going 500 m back. True

114.

State whether the statements are True or False.Going 500 m towards east first and then 200 m back is same as going 200 m towards west first and then going 500 m back.

Answer»

Going 500 m towards east first and then 200 m back is same as going 200 m towards west first and then going 500 m back.

True

Discussion

115.	State whether the statements are True or False.When we change the order of integers their difference remains the same.
Answer» When we change the order of integers their difference remains the same. False

115.

State whether the statements are True or False.When we change the order of integers their difference remains the same.

Answer»

When we change the order of integers their difference remains the same.

False

Discussion

116.	State whether the statements are True or False.(– 20) × ( 5 – 3) = (– 20) × ( – 2)
Answer» (– 20) × ( 5 – 3) = (– 20) × ( – 2) False

116.

State whether the statements are True or False.(– 20) × ( 5 – 3) = (– 20) × ( – 2)

Answer»

(– 20) × ( 5 – 3) = (– 20) × ( – 2)

False

Discussion

117.	State whether the statements are True or False.When we change the order of integers their difference remains the same.
Answer» False E.g., 4 – 5 – 8 = -9 But, 5 – 4 – 8 = -7

117.

State whether the statements are True or False.When we change the order of integers their difference remains the same.

Answer»

False

E.g., 4 – 5 – 8 = -9

But, 5 – 4 – 8 = -7

Discussion

118.	State whether the statements are True or False. (– 5) × (33) = 5 × (– 33)
Answer» True (– 5) × (33) = 165 and 5 × (– 33) = 165

118.

State whether the statements are True or False. (– 5) × (33) = 5 × (– 33)

Answer»

True

(– 5) × (33) = 165 and 5 × (– 33) = 165

Discussion

119.	At Srinagar temperature was `-5^@ C` on Monday and then it dropped by `2^@ C` on Tuesday. What was the temperature of Srinagar on Tuesday ? On Wednesday, it rose by `4^@C.` What was the temprature on this day ?
Answer» `-5^0C-2^0C=-7^0C` on tuesdaay `-7^0C+4^0C=-3^0C` on wednesday.

Discussion

120.	Match the followingColumn IColumn II(a) a × 1(i) Additive inverse of a(b) 1(ii) Additive identity(c) ( – a) ÷ ( – b)(iii) Multiplicative identity(d) a × ( – 1)(iv) a ÷ ( – b)(e) a × 0(v) a ÷ b(f) ( –a) ÷ b(vi) a(g) 0(vii) – a(h) a ÷ (–a)(viii) 0(i) –a(ix) –1
Answer» (a) → (vi), (b) → (iii), (c )→ (v), (d)→ (vii), (e )→ (viii), (f) → (iv) (iv) g → (ii), (h )→ (ix), (i )→ (i)

120.

Match the followingColumn IColumn II(a) a × 1(i) Additive inverse of a(b) 1(ii) Additive identity(c) ( – a) ÷ ( – b)(iii) Multiplicative identity(d) a × ( – 1)(iv) a ÷ ( – b)(e) a × 0(v) a ÷ b(f) ( –a) ÷ b(vi) a(g) 0(vii) – a(h) a ÷ (–a)(viii) 0(i) –a(ix) –1

Answer»

(a) → (vi),

(b) → (iii),

(c )→ (v),

(d)→ (vii),

(e )→ (viii),

(f) → (iv)

(iv) g → (ii),

(h )→ (ix),

(i )→ (i)

Discussion

121.	add:-84 + (-93) = ?(-68) + (-45) = ?7/10+ 2/5 + 3/2 = ?
Answer» 84+[-93] = -9 [-68]+[-45] = -113 7/10 + 2/5 + 3/2 = 26/10 = 13/5

Discussion

122.	Fill in the blanks to make the statements true.________× (–23) = – 920
Answer» 40× (–23) = – 920

Discussion

123.	Fill in the blanks to make the statements true [(–8) + ______ ] + ________ = ________ + [(–3) + ________ ] = –3
Answer» [(–8) + -3 ] + 8 = 8 + [(–3) +8 ] = –3

Discussion

124.	A particle travels half the distance of a straight journey with a speed 5 m/s. The remaining part of the distance is covered with speed 6 m/s for half the remaining time, and with speed 4 m/s for the other half of the remaining time. The average speed of the particle is
Answer» `speed=30/6=5m\|sx/2+6m\|sx/4+4m\|s*x/4` `(x(5/2+6/4+4/4))/x` `=(5/2+3/2+1)=5m\|s`.

Discussion

125.	Prove that `\|[alpha,beta,gamma] ,[alpha^2,beta^2,gamma^2] , [beta+gamma, gamma+alpha, beta+alpha]\|` = `(alpha-beta)(beta-gamma)(gamma-alpha)(alpha+beta+gamma)`
Answer» `L.H.S. = \|[alpha,beta,gamma],[alpha^2,beta^2,gamma^2],[beta+gamma,gamma+alpha,beta+alpha]\|` Applying `R_3->R_3+R_1` ` = \|[alpha,beta,gamma],[alpha^2,beta^2,gamma^2],[alpha+beta+gamma,alpha+beta+gamma,alpha+beta+gamma]\|` ` =(alpha+beta+gamma) \|[alpha,beta,gamma],[alpha^2,beta^2,gamma^2],[1,1,1]\|` Applying `C_2->C_2-C_1 and C_3->C_3-C_1` ` =(alpha+beta+gamma) \|[alpha,beta-alpha,gamma-alpha],[alpha^2,beta^2-alpha^2,gamma^2-alpha^2],[1,0,0]\|` ` =(alpha+beta+gamma)(beta-alpha)(gamma-alpha) \|[alpha,1,1],[alpha^2,(beta+alpha),(gamma+alpha)],[1,0,0]\|` ` =(alpha+beta+gamma)(beta-alpha)(gamma-alpha) [gamma-alpha-beta-alpha]` `=(alpha+beta+gamma)(beta-alpha)(gamma-alpha)(gamma-beta)` `=(alpha+beta+gamma)(alpha-beta)(beta-gamma)(gamma-alpha) = R.H.S.`

Discussion

126.	A person travelled a distance of 50 km in 8h. He covered a part of the distance on foot at the rate of 4 km/h and a part on a bicycle at the rate of 10 km/h . How much distance did he travel on foot?
Answer» Total distance covered ` = 50km` Total time taken ` = 8` hours Let distance travelled by him by foot is `x` km and distance travelled by him on bicycle is `50-x` km. Then,`x/4+(50-x)/10 = 8` `=>5x+2(50-x) = 160` `=>5x+100-2x = 160` `=>3x = 60` `=> x = 20` So, distance travelled by him by foot is `20` km.

Discussion

127.	Show the function, `f(x)=(2x(sinx+tanx))/(2[(x+21pi)/pi]-41)` is symmetric about origin.
Answer» `f(-x)=-f(x)` `f(-x)=(2(-x)(sin(-x)+tan(-x)))/(2[-x/pi]+2*21-41)` `f(-x)=(-2x(-sinx-tanx))/((2-[x/pi]-1)+1)` `f(-x)=(2x(sinx+tanx))/(-2[x/pi]-2+1)` `f(-x)=(2x(sinx+tanx))/(-(2[x/pi]+1))` `f(-x)=-f(x)`.

Discussion

128.	A multistorey building has 25 floors above the ground level each of height 5m. It also has 3 floors in the basement each of height 5m. A lift in building moves at a rate of 1m/s. If a man starts from 50m above the ground, how long will it take him to reach at 2nd floor of basement?
Answer» to reach at 2nd floor it will take 1 min or 60 sec

Discussion

129.	In a true-false test containing 50 questions, a student is to be awarded 2 marks for every correct answer and –2 for every incorrect answer and 0 for not supplying any answer. If Yash secured 94 marks in a test, what are the possibilities of his marking correct or wrong answer?
Answer» Since Yash scored 94 marks So, Minimum correct responses = 94 ÷ (+2) = 47, Two possiblities are there: 1. Correct answer 47, unattempated 3 2. Correct answer 48, unattempated, wrong answer 1

129.

In a true-false test containing 50 questions, a student is to be awarded 2 marks for every correct answer and –2 for every incorrect answer and 0 for not supplying any answer. If Yash secured 94 marks in a test, what are the possibilities of his marking correct or wrong answer?

Answer»

Since Yash scored 94 marks

So, Minimum correct responses = 94 ÷ (+2) = 47, Two possiblities are there:

1. Correct answer 47, unattempated 3

2. Correct answer 48, unattempated, wrong answer 1

Discussion

130.	A multistory building has 25 floors above the ground level each of height 5 m. It also has 3 floors in the basement each of height 5 m. A lift in building moves at a rate of 1 m/s. If a man starts from 50 m above the ground, how long will it take him to reach at 2nd floor of basement?
Answer» Height of each floor = 5 m ∴ Height below the basement to be covered = 2 × 5m = 10m If a man starts from 50 m above ground level and reach at 2nd floor of basement. ∴ His total distance to be covered = (50 + 10) m = 60 m Rate of moving of a lift = 1 m/s ∴ A man reach at 2nd floor of basement in 1 × 60 = 60 seconds or 1 minute.

130.

A multistory building has 25 floors above the ground level each of height 5 m. It also has 3 floors in the basement each of height 5 m. A lift in building moves at a rate of 1 m/s. If a man starts from 50 m above the ground, how long will it take him to reach at 2nd floor of basement?

Answer»

Height of each floor = 5 m

∴ Height below the basement to be covered = 2 × 5m = 10m

If a man starts from 50 m above ground level and reach at 2nd floor of basement.

∴ His total distance to be covered

= (50 + 10) m = 60 m

Rate of moving of a lift = 1 m/s

∴ A man reach at 2nd floor of basement in 1 × 60 = 60 seconds or 1 minute.

Discussion

131.	Which of the following is correct? A) a ÷ (-1) = a B) (-a) ÷ 1 = a C) (-a) ÷ (-1) = a D) 1 ÷ a = a
Answer» C) (-a) ÷ (-1) = a

Discussion

132.	Write the following rational numbers in standard form: `(i) 33/77` `(ii) 64/(-20)`
Answer» (i) `33/77 = (311)/(711) = 3/7` (ii) `64/(-20) = (164)/(-54) = 16/(-5)`

Discussion

133.	Equation represents a pair of parallel lines and find distance between them. `4x^2+4xy+y^2-6x-3y-4=0`
Answer» `4x^2+4xy+y^2-6x-3y-4=0` `4x^2+x(4y-6)+y^2-3y-4=0` `x=((6-4y)pmsqrt(16y^2+36-48y-4(4y^2-12y-16)))/(2*4)` `x=((6-4y)pmsqrt(100))/8` `x=((6-4y)pm10)/8` `2x-y-4=0` `2x+y+1=0` distance between lines`=\|(-4-1)/sqrt(2^2+1^2)\|` `=\|(-5)/sqrt5\|` `=sqrt5`.

Discussion

134.	If ` sqrt(a)> sqrt(b) > sqrt(c) >sqrt(d)` where a, b, c and d are consecutive natural numbers then which of the following is correct(1) `sqrt(a)-sqrt(b) >sqrt(c)-sqrt(d)` (2) `sqrt (c)-sqrt(d)`>`sqrt(a)-sqrt(b)`(3) `sqrt(a)-sqrt(c)>sqrt(b)-sqrt(d)` (4) `sqrt(c)-sqrt(d) =sqrt(a)-sqrt(b)`
Answer» `sqrta>sqrtb>sqrtc>sqrtd` n+3,n+2,n+1,n `sqrtc-sqrtd>sqrta-sqrtb` `sqrtb-sqrtd>sqrta-sqrtc`.

Discussion

135.	State whether the given statement are true (T) or false (F) :The smallest natural number is zero.
Answer» False. We know that, natural numbers start from 1, so smallest natural number is 1.

135.

State whether the given statement are true (T) or false (F) :The smallest natural number is zero.

Answer»

False.

We know that, natural numbers start from 1, so smallest natural number is 1.

Discussion

136.	a + b = b + a, this property is called A) closure B) commutative C) associative D) identity
Answer» B) commutative

Discussion

137.	Zero is a ……………. A) positive numberB) negative number C) A and B D) neither A nor B
Answer» D) neither A nor B

Discussion

138.	1, 2, 3, 4, 5, …………….. are called ……………… A) Natural numbersB) Positive integers C) Both A and B D) Negative integers
Answer» C) Both A and B

Discussion

139.	Integers are denoted by …………… A) N B) G C) W D) Z
Answer» Correct option is D) Z

Discussion

140.	Which of the following is not in the natural numbers A) additive identity B) closure property w.r.t +C) associative property w.r.t × D) commutative w.r.t +
Answer» A) additive identity

Discussion

141.	If a gain of ₹ 10 is denoted by + 10, then a loss of ₹ 8 is denoted by A) + 8 B) – 8 C) + 2 D) + 18
Answer» Correct option is B) – 8

Discussion

142.	Simplify:45 – [38 – {60 ÷ 3 – (6 – 9 ÷ 3) ÷ 3}]
Answer» Given 45 – [38 – {60 ÷ 3 – (6 – 9 ÷ 3) ÷ 3}] First remove the inner most brackets = 45 – [38 – {20 – (6 – 3) ÷ 3}] = 45 – [38 – {20 – 3 ÷ 3}] Now remove the parentheses w get = 45 – [38 – 19] Now remove the braces we get = 45 – 19 = 26

142.

Simplify:45 – [38 – {60 ÷ 3 – (6 – 9 ÷ 3) ÷ 3}]

Answer»

Given 45 – [38 – {60 ÷ 3 – (6 – 9 ÷ 3) ÷ 3}]

First remove the inner most brackets

= 45 – [38 – {20 – (6 – 3) ÷ 3}]

= 45 – [38 – {20 – 3 ÷ 3}]

Now remove the parentheses w get

= 45 – [38 – 19]

Now remove the braces we get

= 45 – 19

= 26

Discussion

143.	The next number in the pattern – 62, – 37, – 12 _________ is(a) 25 (b) 13 (c) 0 (d) –13
Answer» (a) 13 It’s found that the pattern is -62 + 25 = -37, -37 + 25 = -12 So, similarly -12 + 25 = 13

143.

The next number in the pattern – 62, – 37, – 12 _________ is(a) 25 (b) 13 (c) 0 (d) –13

Answer»

(a) 13

It’s found that the pattern is -62 + 25 = -37, -37 + 25 = -12

So, similarly -12 + 25 = 13

Discussion

144.

Fill the grid by multiplying each number in the first column with each number in the first row and answer the followingx-5-4-3-2-1012345-525-15-4-20-39-20-1001234-8520

Answer»

x	-5	-4	-3	-2	-1	1	2	3	4	5
-5	25	20	15	10	5	-5	-10	-15	-20	-25
-4	20	16	12	8	4	-4	-8	-12	-16	-20
-3	15	12	9	6	3	-3	-6	-9	-12	-15
-2	10	8	6	4	2	-2	-4	-6	-8	-10
-1	5	4	3	2	1	-1	-2	-3	-4	-5
0	0	0	0	0	0	0	0	0	0	0
1	-5	-4	-3	-2	-1	1	2	3	4	5
2	-10	-8	-6	-4	-2	2	4	6	8	10
3	-15	-12	-9	-6	-3	3	6	9	2	15
4	-20	-16	-12	-8	-4	4	8	12	16	20
5	-25	-20	-15	-10	-5	5	10	15	20	25

Discussion

145.	Calculate the following:(i) – 2 + 3(ii) – 6 + (- 2)(iii) 8 – (- 6)(iv) – 9 + 4(v) – 23 – (- 30)(vi) 50 – 153(vii) 71 + (- 10) – 8(viii) – 30 + 58 – 38
Answer» (i) – 2 + 3 = +1 (ii) – 6 + (- 2) = – 6 – 2 = – 8 (iii) 8 – (- 6) = 8 + 6 = + 14 (iv) – 9 + 4 = – 5 (v) – 23 – (- 30) = – 23 + 30 = + 7 (vi) 50 – 153 = + 50 – 153 = – 103 (vii) 71 + (- 10) – 8 = + 71 – 10 – 8 = + 71 – 18 = + 53 (viii) – 30 + 58 – 38 = – 30 – 38 + 58 = – 68 + 58 = – 10

145.

Calculate the following:(i) – 2 + 3(ii) – 6 + (- 2)(iii) 8 – (- 6)(iv) – 9 + 4(v) – 23 – (- 30)(vi) 50 – 153(vii) 71 + (- 10) – 8(viii) – 30 + 58 – 38

Answer»

(i) – 2 + 3 = +1

(ii) – 6 + (- 2) = – 6 – 2 = – 8

(iii) 8 – (- 6) = 8 + 6 = + 14

(iv) – 9 + 4 = – 5

(v) – 23 – (- 30) = – 23 + 30 = + 7

(vi) 50 – 153 = + 50 – 153 = – 103

(vii) 71 + (- 10) – 8 = + 71 – 10 – 8 = + 71 – 18 = + 53

(viii) – 30 + 58 – 38 = – 30 – 38 + 58 = – 68 + 58 = – 10

Discussion

146.	Class 7 Math MCQ Questions for Integers with Answers?
Answer» Students can solve Class 7 Maths MCQ Questions for Integers with Answers to know their preparation level. These Class 7 MCQ Questions with answers will widen your skills and understand concepts in a better manner. Class 7 Maths MCQ Questions for Integers with Answers were prepared based on the latest exam pattern. We have provided MCQ Questions for Class 7 Maths with Answers to help students understand the concept very well. Students can also refer to NCERT Solutions for Class 7 Maths Integers for better exam preparation and score more marks. They are advised to solve the Integers Multiple Choice Questions of Class 7 Maths to know different concepts. Practicing the MCQ Questions on Integers Class 7 with answers will boost your confidence thereby helping you score well in the exam. Practice MCQ Questions for Class 7 Maths 1. On a number line, when we add a positive integer, we (a) move to the right (b) move to the left (c) do not move at all (d) none of these 2. On a number line, when we add a negative integer, we (a) move to the right (b) move to the left (c) do not move at all (d) none of these 3. On a number line, when we subtract a negative integer, we (a) move to the right (b) move to the left (c) do not move at all (d) none of these 4. If p: when a positive integer and a negative integer are added we always get a negative integer and q: when two negative integers are added, we get a positive integer, then. (a) Both p and q are true (b) p is true and q is false (c) p is false and q is true (d) Both p and q are false 5. Which of the following is true? (а) (- 8) + (- 4) > (- 8) – (- 4) (b) (- 8) + (- 4) < (- 8) – (- 4) (c) (-8) + (- 4) = (- 8) – (- 4) (d) none of these 6. Three times one number is equal to five times the other. If the sum of two numbers is 80, find the numbers. (а) 25 and 55 (b) 50 and 30 (c) 45 and 35 (d) 60 and 20 7. 40% of [100−20% of 300] is equal to (а) 20 (b) 16 (c) 140 (d) 64 8. The expression ((2)⁰+(3)⁰+(5)⁰)⁰ is equal to ____ (а) 3 (b) 1 (c) 10 (d) 0 9. (−10)×0×(−15) is equal to (а) 0 (b) 1 (c) 3 (d) 20 10. Determine the integer whose product with '−1' is : (а) 0 (b) 1 (c) 3 (d) 20 11. If x/5 =1, then x is equal to (а) 1 (b) 3 (c) 4 (d) 5 12. The additive identity for integers is (a) 0 (b) -1 (c) 0 (d) none of these 13. The multiplicative identity for integers is (a) 1 (b) -1 (c) 0 (d) none of these 14. The property represented by a×(b+c)=a×b+a×c is (a) Commutative property (b) Associative property (c) Distributive property (d) none of these 15. Manish deposits Rs 2000 in his bank account and withdraws Rs 1000 from it, the next day. Find the balance in Manish’s account after the withdrawal. (a) Rs 2000 (b) Rs 3000 (c) Rs 1000 (d) none of these 16. Find 4 x (- 8) (a) – 32 (b) 32 (c) None of these (d) 30 17. Additive inverse of 10 is : (a) 0 (b) 10 (c) -10 (d) None of these 18. If a, b, c are 3 integers then, a + (b + c)= (a) a + b + c (b) (a + b) + c (c) (a + c) + b (d) None of these 19. Evaluate of – 50 ÷ 5 (a) -10 (b) 10 (c) None of these (d) 12 20. 0 ÷ 9 = (a) 9 (b) 0 (c) None of these (d) 10 21. Find predecessor of – 3 (a) – 2 (b) – 1 (c) None of these (d) – 4 22. Successor of 11 is : (a) 10 (b) 13 (c) None of these (d) 12 23. 5 and 3 are two integers then : (a) 5 is smaller than 3 (b) both are equal (c) 5 is greater than 3 (d) None of these 24. The product of (-) x (-) x (-) is : (a) + (b) – (c) None of these (d) x 25. (-9) + (-4) ▭ (-9) – (-4) Fill in the blanks. (a) > (b) < (c) ≥ (d) ≤ Answer: 1. Answer: (a) move to the right Explanation: When we add positive integers, we move to the right on the number line. For example, to add +2 and +4 we move 4 steps to the right of +2. Thus, +2 +4 = +6. 2. Answer: (b) move to the left Explanation: Add a negative integer, we move to the left. subtract a positive integer, we move to the left. Subtracting a negative integer, we move to the right. 3. Answer: (a) move to the right Explanation: Add a positive integer, we move to the right. add a negative integer, we move to the left. subtract a positive integer, we move to the left. Subtracting a negative integer, we move to the right. 4. Answer: (d) Both p and q are false Explanation: When we add a positive integer and negative integer then it is not necessary that the result would be a negative integer. It can be a positive integer also. For eg- (+8)+(−6)=2. Hence the p statement is false. When we add two negative integers, we will always get a negative integer. For eg- (−7)+(−9)=−16. Hence q statement is also false. 5. Answer: (b) (- 8) + (- 4) < (- 8) – (- 4) Explanation: (-8) + (-4) = -12 (-8) – (-4) = -4 Hence (- 8) + (- 4) < (- 8) – (- 4) 6. Answer: (b) 50 and 30 Explanation:Let the two numbers be x and y. It is given that three times one number is equal to five times the other that is: 3x=5y 3x−5y=0..........(1) Also, the sum of the numbers is 80 that is: x+y=80..........(2). Multiply the equation 2 by 3: 3x+3y=240..........(3) Now subtract equation 1 from equation 3 to eliminate x, because the coefficients of x are the same. So, we get (3x−3x)+(3y+5y)=240−0 i.e. 8y=240 i.e. y=30 Substituting this value of y in (1), we get 3x−150=0 i.e. 3x=150 i.e. x=50 Hence, the two numbers are 50 and 30. 7. Answer: (b) 16 Explanation: Given, 40% of [100−20% of 300] \(=\frac{40}{100}\times[100-\frac{20}{100}\times300]\) \(=\frac{40}{100}[100-60]\) = 16. 8. Answer: (b) 1 Explanation:((2)⁰+(3)⁰+(5)⁰)⁰ = (1 +1 +1)⁰ = 3⁰ = 1 9. Answer: (а) 0 Explanation: (−10)×0×(−15) 0 multiplied with anything gives 0. Hence (−10)×0×(−15)=0 10. Answer: (b) 1 Explanation:−1 =−1×1. 11. Answer: (d) 5 Explanation:x/5 =1 Multiply both sides by 5 we get \(\frac{x}{5}\times5=1\times5\) x=5 ∴x=5 12. Answer: (c) 0 Explanation: An identity element that in a given mathematical system leaves unchanged any element to which it is added. We know that any number added to 0 is still the same number and hence the system doesn’t change for any integer we will have a+0=a=0+a ⟹0 is an additive identity. Thus, the additive identity for integers is 0. 13. Answer: (a) 1 Explanation: The multiplicative identity of any integer a is a number b which when multiplied with a, leaves it unchanged, i.e. b is called as the multiplicative identity of any integer a if a× b = a. Now, when we multiply 1 with any of the integers we get a × 1 = a = 1 × a.So, 1 is the multiplicative identity for integers. 14. Answer: (c) Distributive property Explanation: Distributive property says that multiplication and division can be distributed over parenthesis. a x (b+c) = a x b + a x c 15. Answer: (c) Rs 1000 Explanation: 2000 – 1000 = Rs 1000 16. Answer: (a) – 32 Explanation: The product of 2 numbers of opposite signs is negative. 17. Answer: (c) -10 Explanation: If a is an integer then (- a) is its additive inverse. 18. Answer: (b) (a + b) + c Explanation: addition of an integer is associative. 19. Answer: (a) -10 Explanation: Division of 2 numbers of opposite signs is negative. 20. Answer: (b) 0 Explanation: Zero divided by any non-zero integer, the result is zero. 21. Answer: (d) – 4 Explanation: The predecessor of an integer is just before it on the number line. 22. Answer: (d) 12 Explanation: The successor of an integer is right to it on a number line. 23. Answer: (c) 5 is greater than 3 Explanation: Greater number is on the right of smaller on a number line. 24. Answer: (b) – Explanation: The product of 3 negative integers is a negative integer. 25. Answer: (b) < Explanation:because (-9) + (-4) = -13 = and (-9) – (-4) = (-9) + 4 = -5 – 13 < – 5 Click here for Practice MCQ Questions for Integers Class 7

146.

Class 7 Math MCQ Questions for Integers with Answers?

Answer»

Students can solve Class 7 Maths MCQ Questions for Integers with Answers to know their preparation level. These Class 7 MCQ Questions with answers will widen your skills and understand concepts in a better manner. Class 7 Maths MCQ Questions for Integers with Answers were prepared based on the latest exam pattern. We have provided MCQ Questions for Class 7 Maths with Answers to help students understand the concept very well.

Students can also refer to NCERT Solutions for Class 7 Maths Integers for better exam preparation and score more marks. They are advised to solve the Integers Multiple Choice Questions of Class 7 Maths to know different concepts. Practicing the MCQ Questions on Integers Class 7 with answers will boost your confidence thereby helping you score well in the exam.

Practice MCQ Questions for Class 7 Maths

1. On a number line, when we add a positive integer, we

(a) move to the right
(b) move to the left
(c) do not move at all
(d) none of these

2. On a number line, when we add a negative integer, we

(a) move to the right
(b) move to the left
(c) do not move at all
(d) none of these

3. On a number line, when we subtract a negative integer, we

(a) move to the right
(b) move to the left
(c) do not move at all
(d) none of these

4. If p: when a positive integer and a negative integer are added we always get a negative integer and q: when two negative integers are added, we get a positive integer, then.

(a) Both p and q are true
(b) p is true and q is false
(c) p is false and q is true
(d) Both p and q are false

5. Which of the following is true?

(а) (- 8) + (- 4) > (- 8) – (- 4)
(b) (- 8) + (- 4) < (- 8) – (- 4)
(c) (-8) + (- 4) = (- 8) – (- 4)
(d) none of these

6. Three times one number is equal to five times the other. If the sum of two numbers is 80, find the numbers.

(а) 25 and 55
(b) 50 and 30
(c) 45 and 35
(d) 60 and 20

7. 40% of [100−20% of 300] is equal to

(а) 20
(b) 16
(c) 140
(d) 64

8. The expression ((2)⁰+(3)⁰+(5)⁰)⁰ is equal to ____

(а) 3
(b) 1
(c) 10
(d) 0

9. (−10)×0×(−15) is equal to

(а) 0
(b) 1
(c) 3
(d) 20

10. Determine the integer whose product with '−1' is :

(а) 0
(b) 1
(c) 3
(d) 20

11. If x/5 =1, then x is equal to

(а) 1
(b) 3
(c) 4
(d) 5

12. The additive identity for integers is

(a) 0
(b) -1
(c) 0
(d) none of these

13. The multiplicative identity for integers is

(a) 1
(b) -1
(c) 0
(d) none of these

14. The property represented by a×(b+c)=a×b+a×c is

(a) Commutative property
(b) Associative property
(c) Distributive property
(d) none of these

15. Manish deposits Rs 2000 in his bank account and withdraws Rs 1000 from it, the next day. Find the balance in Manish’s account after the withdrawal.

(a) Rs 2000
(b) Rs 3000
(c) Rs 1000
(d) none of these

16. Find 4 x (- 8)

(a) – 32
(b) 32
(c) None of these
(d) 30

17. Additive inverse of 10 is :

(a) 0
(b) 10
(c) -10
(d) None of these

18. If a, b, c are 3 integers then, a + (b + c)=

(a) a + b + c
(b) (a + b) + c
(c) (a + c) + b
(d) None of these

19. Evaluate of – 50 ÷ 5

(a) -10
(b) 10
(c) None of these
(d) 12

20. 0 ÷ 9 =

(a) 9
(b) 0
(c) None of these
(d) 10

21. Find predecessor of – 3

(a) – 2
(b) – 1
(c) None of these
(d) – 4

22. Successor of 11 is :

(a) 10
(b) 13
(c) None of these
(d) 12

23. 5 and 3 are two integers then :

(a) 5 is smaller than 3
(b) both are equal
(c) 5 is greater than 3
(d) None of these

24. The product of (-) x (-) x (-) is :

(a) +
(b) –
(c) None of these
(d) x

25. (-9) + (-4) ▭ (-9) – (-4) Fill in the blanks.

(a) >
(b) <
(c) ≥
(d) ≤

Answer:

1. Answer: (a) move to the right

Explanation: When we add positive integers, we move to the right on the number line. For example, to add +2 and +4 we move 4 steps to the right of +2. Thus, +2 +4 = +6.

2. Answer: (b) move to the left

Explanation: Add a negative integer, we move to the left. subtract a positive integer, we move to the left. Subtracting a negative integer, we move to the right.

3. Answer: (a) move to the right

Explanation: Add a positive integer, we move to the right. add a negative integer, we move to the left. subtract a positive integer, we move to the left. Subtracting a negative integer, we move to the right.

4. Answer: (d) Both p and q are false

Explanation: When we add a positive integer and negative integer then it is not necessary that the result would be a negative integer. It can be a positive integer also. For eg- (+8)+(−6)=2. Hence the p statement is false. When we add two negative integers, we will always get a negative integer. For eg- (−7)+(−9)=−16. Hence q statement is also false.

5. Answer: (b) (- 8) + (- 4) < (- 8) – (- 4)

Explanation: (-8) + (-4) = -12

(-8) – (-4) = -4

Hence (- 8) + (- 4) < (- 8) – (- 4)

6. Answer: (b) 50 and 30

Explanation:Let the two numbers be x and y.

It is given that three times one number is equal to five times the other that is:

3x=5y

3x−5y=0..........(1)

Also, the sum of the numbers is 80 that is:

x+y=80..........(2).

Multiply the equation 2 by 3:

3x+3y=240..........(3)

Now subtract equation 1 from equation 3 to eliminate x, because the coefficients of x are the same. So, we get

(3x−3x)+(3y+5y)=240−0

i.e. 8y=240

i.e. y=30

Substituting this value of y in (1), we get

3x−150=0

i.e. 3x=150

i.e. x=50

Hence, the two numbers are 50 and 30.

7. Answer: (b) 16

Explanation: Given, 40% of [100−20% of 300]

\(=\frac{40}{100}\times[100-\frac{20}{100}\times300]\)

\(=\frac{40}{100}[100-60]\)

= 16.

8. Answer: (b) 1

Explanation:((2)⁰+(3)⁰+(5)⁰)⁰

= (1 +1 +1)⁰

= 3⁰

= 1

9. Answer: (а) 0

Explanation: (−10)×0×(−15)

0 multiplied with anything gives 0.

Hence (−10)×0×(−15)=0

10. Answer: (b) 1

Explanation:−1

=−1×1.

11. Answer: (d) 5

Explanation:x/5 =1

Multiply both sides by 5 we get

\(\frac{x}{5}\times5=1\times5\)

x=5

∴x=5

12. Answer: (c) 0

Explanation: An identity element that in a given mathematical system leaves unchanged any element to which it is added. We know that any number added to 0 is still the same number and hence the system doesn’t change for any integer we will have a+0=a=0+a ⟹0 is an additive identity. Thus, the additive identity for integers is 0.

13. Answer: (a) 1

Explanation: The multiplicative identity of any integer a is a number b which when multiplied with a, leaves it unchanged, i.e. b is called as the multiplicative identity of any integer a if a× b = a. Now, when we multiply 1 with any of the integers we get a × 1 = a = 1 × a.So, 1 is the multiplicative identity for integers.

14. Answer: (c) Distributive property

Explanation: Distributive property says that multiplication and division can be distributed over parenthesis. a x (b+c) = a x b + a x c

15. Answer: (c) Rs 1000

Explanation: 2000 – 1000

= Rs 1000

16. Answer: (a) – 32

Explanation: The product of 2 numbers of opposite signs is negative.

17. Answer: (c) -10

Explanation: If a is an integer then (- a) is its additive inverse.

18. Answer: (b) (a + b) + c

Explanation: addition of an integer is associative.

19. Answer: (a) -10

Explanation: Division of 2 numbers of opposite signs is negative.

20. Answer: (b) 0

Explanation: Zero divided by any non-zero integer, the result is zero.

21. Answer: (d) – 4

Explanation: The predecessor of an integer is just before it on the number line.

22. Answer: (d) 12

Explanation: The successor of an integer is right to it on a number line.

23. Answer: (c) 5 is greater than 3

Explanation: Greater number is on the right of smaller on a number line.

24. Answer: (b) –

Explanation: The product of 3 negative integers is a negative integer.

25. Answer: (b) <

Explanation:because (-9) + (-4) = -13

= and (-9) – (-4) = (-9) + 4

= -5 – 13 < – 5

Click here for Practice MCQ Questions for Integers Class 7

Discussion

147.	In each of the following pairs, Which number is to the right of the other on the number line?(a) 2, 9(b) -3, -8(c) 0, -1(d) -11, 10(e) -6, 6(f) 1, -100
Answer» (a) 2, 9 9(9 > 2) (b) -3, -8 -3 (-3 > -8) (c) 0, -1 0( 0 > -1) (d) -11, 10 10(10 > -11) (e) -6, 6 6(6 > -6) (f) 1, -100 1(1 > -100)

147.

In each of the following pairs, Which number is to the right of the other on the number line?(a) 2, 9(b) -3, -8(c) 0, -1(d) -11, 10(e) -6, 6(f) 1, -100

Answer»

(a) 2, 9

9(9 > 2)

(b) -3, -8

-3 (-3 > -8)

(c) 0, -1

0( 0 > -1)

(d) -11, 10

10(10 > -11)

(e) -6, 6

6(6 > -6)

(f) 1, -100

1(1 > -100)

Discussion

148.	A borewell machine drills down 72 feet per hour from surface of the earth. If the water is at 360 feet down from surface of earth, after how many hours it will touch the water layer?
Answer» Depth of drilling in one hour = – 72 feet Depth of water layer from surface of earth = – 360 feet Number of hours required = – 360 ÷ (-72) = 5 Hence, the borewell machine will touch water layer at 5 hours of drilling.

148.

A borewell machine drills down 72 feet per hour from surface of the earth. If the water is at 360 feet down from surface of earth, after how many hours it will touch the water layer?

Answer»

Depth of drilling in one hour = – 72 feet

Depth of water layer from surface of earth = – 360 feet

Number of hours required = – 360 ÷ (-72) = 5

Hence, the borewell machine will touch water layer at 5 hours of drilling.

Discussion

149.	A borewell machine drills down 72 feet per hour from surface of the earth. If the water is at 360 feet down from surface of earth, after how many hours it will touch the water layer ?
Answer» Depth of drilling in one hour = – 72 feet Depth of water layer from surface of earth = – 360 feet Number of hours required = – 360 ÷ (-72) = 5 Hence, the borewell machine will touch water layer at 5 hours of drilling.

149.

A borewell machine drills down 72 feet per hour from surface of the earth. If the water is at 360 feet down from surface of earth, after how many hours it will touch the water layer ?

Answer»

Depth of drilling in one hour = – 72 feet

Depth of water layer from surface of earth = – 360 feet

Number of hours required

= – 360 ÷ (-72)

= 5

Hence, the borewell machine will touch water layer at 5 hours of drilling.

Discussion

150.

Calculate : (- 7) ÷ (-1)

Answer»

(- 7) ÷ (-1)

We know, (- a) + (- b) = a ÷ b

= (- 7) ÷ (- 1)

= 7 ÷ 1

= 7

Discussion

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Class 7 Math MCQ Questions for Integers with Answers?

In each of the following pairs, Which number is to the right of the other on the number line?(a) 2, 9(b) -3, -8(c) 0, -1(d) -11, 10(e) -6, 6(f) 1, -100

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