Maths MCQ Class IX Ch-13 | Surface Area & Volume

by

     Mathematics MCQ | Class 09 | Chapter 13

SURFACE AREA & VOLUME

Multiple Choice Questions (MCQ)

  • MCQ Based on the different types of Solid Figures.
  • MCQ  Based on the concept of Cube & Cuboid.
  • MCQ Based on the Right circular Cylinder and Cone.
  • MCQ Based on the Sphere & Hemi-Sphere.

Features

  • In the MCQ given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
  • Solution Hints are also given to some difficult problems. 
  • Each MCQ contains four options from which one option is correct. 

Action Plan

  • First of all students should Learn and write all basic points and Formulas related to the Chapter 13 Surface Area and Volume.
  • Start solving  the NCERT Problems with examples.
  • Solve the important assignments on the Chapter 13 Class IX.
  • Then start solving the following MCQ.

MCQ BASED ON CUBE AND CUBOID

Cube and cuboid have following properties

Both have 6 faces, 8 vertices and 12 edges.

Faces of cube are squares and faces of cube are rectangles.

Q1) The formula to
find the surface area of a cuboid of length (l), breadth (b) and height (h) is:

a)
lb + bh + hl

b)
2(lb + bh + hl)

c)
2(lbh)

d)
lbh/2

Answer: b

Q2) If the perimeter of one of the faces of a cube is 40 cm, then its
volume is:

a) 6000 cm³

b) 1600 cm³

c) 1000 cm³

d) 600 cm³

Answer: c

Q3) The surface area
of a cube whose edge equals to 3cm is:

a)
62 sq.cm

b)
30 sq.cm

c)
54 sq.cm

d)
90 sq.cm

Answer: c

Explanation: Given, a = 3 cm

Surface area of cube = 6a2

SA = 6 x 3 x 3 = 54 sq.cm

Q4) The
surface area of a cube whose edge equals to 3cm is:

a) 62 sq.cm

b) 30 sq.cm

c) 54 sq.cm

d) 90 sq.cm

Answer c

Q5) The surface area of
cuboid-shaped box having length = 80 cm, breadth = 40cm and height = 20cm is:

a)
11200 sq.cm

b)
13000 sq.cm

c)
13400 sq.cm

d)
12000 sq.cm

Answer: a

Explanation: surface area of the box = 2(lb + bh + hl)

S.A. = 2[(80 × 40) + (40 × 20) + (20 × 80)]

= 2[3200 + 800 + 1600]

= 2 × 5600 = 11200 sq.cm.

Q6) The
length of the longest pole that can be put in a room of dimension (10 m × 10 m
× 5 m) is

a) 15 m

b) 16 m

c) 10 m

d) 12 m

Answer: a

Q7) The total surface
area of a cube is 96 cm2. The volume
of the cube is:

a) 8 cm3 

b) 512 cm3

c) 64 cm3

d) 27 cm3

Answer: c

Explanation:

We know
that the TSA of the cone = 6a2.

6a2 = 96 cm2

a2 = 96/6 = 16

a = 4 cm

The volume
of cone = a3 cubic units

V = 43 = 64cm3.

Q8) The
lateral surface area of a cube is 256 m³. The volume of the cube is


a) 512 m³


b) 64 m³


c) 216 m³


d) 256 m³

Answer: a

Q9)
The length of the longest pole that can be put in a room of dimensions (10 m ×
10 m × 5m) is

a) 15m

b) 16m

c) 10m

d) 12m

Answer: a

Explanation:

Given: l = 10m,
b = 10m, h = 5m

The length
of the longest pole = √[102 +
102 + 52]

= √(100 + 100
+ 25) = √225 = 15 m.

Q10)
The number of planks of dimensions (4 m × 50 cm × 20 cm) that can be stored in
a pit that is 16 m long, 12m wide and 4 m deep is

a) 1900

b) 1920

c) 1800

d) 1840

Answer: b

Explanation:

Volume of
Plank = 400 cm × 50cm × 20cm = 400000cm3

Volume of
pits = 1600cm × 1200cm × 400cm = 768000000cm3

Number of
planks = Volume of planks/Volume of pits

=
768000000/400000

Hence, the
number of pits = 1920

Q11) The
total surface area of a cube is 96 cm². The volume of the cube is


a) 8 cm³


b) 512 cm³


c) 64 cm³


d) 27 cm³

Answer: c

Q12)
The lateral surface area of a cube is 256 m2.
The volume of the cube is

a) 512 m3

b) 64 m3

c) 216 m3

d) 256 m3

Answer: a

Explanation:

The lateral
surface area of cube = 4a2

4a2 = 256

a2 = 256/4 =64

a = 8 m

Hence, the
volume of cube = a3 cube
units 

V = 83  = 512 m3.

Read more

Maths MCQ Class IX Ch-7 | Triangles

by

    Mathematics

MCQ | Class 09 | Chapter 7
Triangles

Multiple Choice Questions (MCQ)

  • MCQ Based on the different types of Triangles.

  • MCQ  Based on the concept of Properties of Triangles.

  • MCQ Based on the Congruence conditions of Triangles.

Features

  • In the MCQ given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
  • Solution Hints are also given to some difficult problems. 
  • Each MCQ contains four options from which one option is correct. 

Action Plan

  • First of all students should Learn and write all basic points and Formulas related to the Chapter 7 Triangle.
  • Start solving  the NCERT Problems with examples.
  • Solve the important assignments on the Chapter 7 Class IX.
  • Then start solving the following MCQ.

MCQ | CHAPTER – 7 | CLASS IX
TRIANGLES

Question 1

In triangle ABC, if AB = BC and ∠B = 70°, ∠A will be:

a) 70°                    b) 110°                c) 55°                    d) 130°

Answer: c

Read more

Maths MCQ Class IX Ch-8 | Quadrilaterals

by

   Mathematics

MCQ | Class 09 | Chapter 8
Quadrilaterals

Multiple Choice Questions (MCQ)

  • MCQ Based on the different Quadrilaterals.

  • MCQ  Based on the concept of Properties of Quadrilaterals.

  • MCQ Based on the differentiating different types of quadrilaterals.

Features

  • In the MCQ given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
  • Solution Hints are also given to some difficult problems. 
  • Each MCQ contains four options from which one option is correct. 

Action Plan

  • First of all students should Learn and write all basic points and Formulas related to the Chapter 8 Quadrilaterals.
  • Start solving  the NCERT Problems with examples.
  • Solve the important assignments on the Chapter 8 Class XI.
  • Then start solving the following MCQ.

MCQ | CHAPTER – 8 | CLASS IX
QUADRILATERAL

Q1) The quadrilateral whose all its sides
are equal and angles are equal to 90 degrees, it is called:

a) Rectangle

b) Square

c) Kite

d) Parallelogram

Answer: b

Q2) Quadrilateral has __________ sides.
a) one
b) two
c) three
d) four

Answer:  d

Q3) The sum of all the angles of a quadrilateral
is equal to:

a) 180°

b) 270°

c) 360°

d) 90°

Answer: c

Q4) The sum of four angles of quadrilateral is equal
to _______
a) 90°
b) 360°
c) 180°
d) 270°

Answer:  b

Q5) A trapezium has:

a) One pair of opposite sides parallel

b) Two pairs of opposite sides parallel to each other

c) All its sides are equal

d) All angles are equal

Answer: a

Q6) Find the value of x.

a) 105°
b) 50°
c) 60°
d) 90°

Answer:  a

Q7) A
rhombus can be a:

a) Parallelogram

b) Trapezium

c) Kite

d) Square

Answer: d

Q8) At which angle do diagonals of a rhombus bisects
each other?
a) 180°
b) 360°
c) 270°
d) 90°

Answer:  d

Q9) A diagonal of a parallelogram divides it
into two congruent:

a) Square

b) Parallelogram

c) Triangles

d) Rectangle

Answer: c

Q10) What is the quadrilateral formed by the angle
bisectors of a parallelogram?
a) Square
b)
Rectangle
c) Circle
d) Rhombus

Answer:  b

Q11) In a parallelogram, opposite angles are:

a) Equal

b) Unequal

c) Cannot be determined

d) None of the above

Answer: a

Q12) Find the value of x if PQRS is a parallelogram.

a) 150°
b) 50°
c) 60°
d) 120°

Answer:  c

Q13) The diagonals of a parallelogram are

a) Equal

b) Unequal

c) Bisect each other

d) Have no relation

Answer: c

Q14) From the figure find
the length of AD if perimeter of parallelogram ABCD is 26cm.





a) 10 cm
b) 15 cm
c) 12 cm
d) 5 cm

Answer:  d

Q15) Each angle of the rectangle is:

a) More than 90°

b) Less than 90°

c) Equal to 90°

d) Equal to 45°

Answer: c

Q16) The angles of a quadrilateral are in
the ratio 4 : 5 : 10 : 11. The angles are:

a) 36°, 60°, 108°, 156°

b) 48°, 60°, 120°, 132°

c) 52°, 60°, 122°, 126°

d) 60°, 60°, 120°, 120°

Answer: b

Explanation:

As per
angle sum property, we know:

4x+5x+10x+11x = 360°

30x = 360°

x = 12°

Hence, angles are

4x = 4 (12) = 48°

5x = 5 (12) = 60°

10x = 10 (12) = 120°

11x = 11 (12) = 132°

Q17) If ABCD is a trapezium in which AB || CD
and AD = BC, then:

a) ∠A = ∠B

b) ∠A > ∠B

c) ∠A < ∠B

d) None of the above

Answer: a

Explanation : See Q12 Exercise 8.1 NCERT

Q18)
Which of the following is not true for a parallelogram?

a) Opposite
sides are equal

b) Opposite
angles are equal

c) Opposite
angles are bisected by the diagonals

d)
Diagonals bisect each other.

Answer: c

Q19) If the ratio of four angles of a quadrilateral is ∠A : ∠B : ∠C : ∠D = 1 : 2 : 3 : 4, what
is the value of ∠C?
a) 90°
b) 108°
c) 180°
d) 72°

Answer:  b

Q20) Three angles of a quadrilateral are 75º,
90º and 75º. The fourth angle is

a) 90º

b) 95º

c) 105º

d) 120º

Answer: d

Explanation:
We know that the sum of angles of a quadrilateral is 360º.

Let the
unknown angle be x.

Therefore,
75º + 90º + 75º + x = 360º

x = 360º –
240º = 120º.

Q21) What is the length of
DE if DE || BC and D and E are midpoints of AB and AC?







a) 18cm
b) 15cm
c) 9cm
d) 20cm

Answer:  c  (9 cm)

Q22) ABCD is a rhombus such that ∠ACB = 40º. Then ∠ADB is





(a) 40º

(b) 45º

(c) 50º

(d) 60º

Answer: c

Explanation:
We know that the diagonals of the rhombus bisect each other perpendicularly.

By using
the alternate interior angles, and angle sum property of triangle, we can say:

From the
triangle, BOC,

∠BOC + ∠OCB + ∠OBC = 180º

(where 
∠BOC= 90º, ∠OCB = 40º)

90º + 40º + ∠OBC = 180º

∠OBC = 180º – 130º

∠OBC = 50º

∠OBC =∠DBC

Now, by
using alternate angles, we can say

∠ADB = 50º

Q23)  Find the perimeter of
ΔABC, if perimeter of ΔPQR is 36cm and A, B and C are midpoints.

a) 9cm
b) 18cm
c) 20cm
d) 36cm

Answer:  b

Q24) The quadrilateral formed by joining the mid-points
of the sides of a quadrilateral PQRS, taken in order, is a rhombus, if

a) PQRS is
a rhombus

b) PQRS is
a parallelogram

c)
Diagonals of PQRS are perpendicular

d)
Diagonals of PQRS are equal.

Answer: d

Explanation:
The quadrilateral formed by joining the mid-points of the sides of a
quadrilateral PQRS, taken in order, is a rhombus if the diagonals of PQRS are
equal.

Q25) A diagonal of a
parallelogram divides it into two congruent:

a. Square

b. Parallelogram

c. Triangles

d. Rectangle

Answer c

Q26) A diagonal of a rectangle is inclined to
one side of the rectangle at 25º. The acute angle between the diagonals is

a) 25º

b) 40º

c) 50º

d) 55º

Answer: c

Explanation:
Consider the rectangle ABCD

In a
triangle BOC, 

∠OBC = ∠OCB (Opposite angles of isosceles triangle)

Therefore, ∠OBC + ∠OCB + ∠BOC = 180º

25º + 25º + ∠BOC = 180º

∠BOC = 180º- 50º

∠BOC = 130º.

By using
the linear pair, 

∠AOB + ∠BOC = 180º

∠AOB = 180º – 130º

∠AOB= 50º

Hence, the
acute angle between the diagonals is 50º.

Q27) In a parallelogram,
opposite angles are:

a. Equal

b. Unequal

c. Cannot be determined

d. None of the above

Answer a

Q28) If angles A, B, C and D of the quadrilateral
ABCD, taken in order, are in the ratio 3 : 7 : 6 : 4, then ABCD is a

a) Kite

b) Rhombus

c)
Parallelogram

d) Trapezium

Answer: d

Explanation: Given that,
the angles A, B, C and D of a quadrilateral are in the ratio 3 : 7 : 6 : 4.

We know
that A + B + C + D = 360º

Hence, now
we can assume, 3x + 7x + 6x + 4x = 360º

20x = 360º

x=18º

Therefore,
A = 3x = 54º

B = 7x =
126º

C = 6x =
108º

D = 4x= 72º

Here ∠A + ∠B = 180o

 ⇒ AD ॥ BC

And ∠C + ∠D = 180o

 ⇒ AD ॥ BC

⇒ ABCD is a quadrilateral with
one pair of opposite sides are parallel.

⇒ ABCD is a trapezium

Q29) The quadrilateral formed by joining
the mid-points of the sides of a quadrilateral PQRS, taken in order, is a
rectangle, if

a) PQRS is
a rectangle

b) PQRS is
a parallelogram

c)
Diagonals of PQRS are perpendicular

d)
Diagonals of PQRS are equal

Answer: c

Explanation:
The quadrilateral formed by joining the mid-points of the sides of a
quadrilateral PQRS, taken in order, is a rectangle, if the diagonals of PQRS
are perpendicular.

Q30) Each angle of rectangle
is:

a. More than 90°

b. Less than 90°

c. Equal to 90°

d. Equal to 45°

Answer c

Q31) The figure obtained by joining the
mid-points of the sides of a rhombus, taken in order, is




a) a square

b) a rhombus

c) a
rectangle

d) any
parallelogram

Answer: c

Explanation:
See Q2 NCERT Ex- 8.2

Let ABCD be
a rhombus. P, Q, R, S be the midpoint of the sides AB, BC, CD and DA. If we
join the midpoints, we will get the shape rectangle.

Q32) If APB and CQD are two parallel lines, then
the bisectors of the angles APQ, BPQ, CQP and PQD form



a) Square

b) Rectangle

c) Rhombus

d) any
other parallelogram

Answer: b

Explanation: Hence, the
bisectors of the angles APQ, BPQ, CQP and PQD form the shape rectangle.

Q33) Which of the following is not a
quadrilateral?

a) Kite

b) Square

c) Triangle

d) Rhombus

Answer: c


Read more

Maths MCQ Class IX Ch-6 | Lines & Angles

by

  Mathematics

MCQ | Class 09 | Chapter 6
Lines and Angles

Multiple Choice Questions (MCQ)

  • MCQ Based on the different types of angles.

  • MCQ  Based on the concept of parallel lines.

  • MCQ Based on the Lines and angles.

Features

  • In the MCQ given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
  • Solution Hints are also given to some difficult problems. 
  • Each MCQ contains four options from which one option is correct. 

Action Plan

  • First of all students should Learn and write all basic points and Formulas related to the Chapter 6  Lines and Angles.
  • Start solving  the NCERT Problems with examples.
  • Solve the important assignments on the Chapter 6 Class XI.
  • Then start solving the following MCQ.

MCQ | CHAPTER – 6 | CLASS IX
LINES AND ANGLES

Q1) A line with two end points
is called
a) line
b) ray
c)
line-segment
d) triangle

Answer c

Read more

Maths MCQ Class 11 Ch-7 | Permutations & Combinations

by

  Mathematics

MCQ | Class 11 | Chapter 07
Permutations & Combinations

Multiple Choice Questions (MCQ)

  • MCQ Based on the  arrangements or Permutations.

  • MCQ  Based on the Selections or Combinations.

  • MCQ Based on the Factorial notations.

Features

  • In this post given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
  • Solution Hints are also given to some difficult problems. 
  • Each MCQ contains four options from which one option is correct. 

Action Plan

  • First of all students should Learn and write all basic points and Formulas related to the Permutations & Combinations
  • Start solving  the NCERT Problems with examples.
  • Solve the important assignments on the Permutations & Combinations Chapter 7 Class XI.
  • Then start solving the following MCQ.

MCQ | CHAPTER 7 | CLASS 11
PERMUTATIONS & COMBINATIONS

Question : 1 A child has 2 pencil
and 3 erasers. In how many ways he can take a pencil and an eraser?


a) 5
b) 6
c) 8
d) 9

Answer
b

Question : 2 The number of
combination of n distinct objects taken r at a time is given by


(a) n/2Cr                    

(b) n/2Cr/2
                     

(c) nCr/2
                       

(d) nCr

Answer d


Question : 3 If an event can occur
in ‘m’ different ways, following which another event can occur in ‘n’ different
ways, then the total numbers of occurrence of the events in the given order is


a) m + n                       

b) m – n                      

c) m x n                         

d) m/n

Answer c


Question : 4 If there are 4 paths to
travel from Delhi to Kanpur, then in how many ways a person can travel from
Delhi to Kanpur and came back to Delhi?


a) 4
b) 8
c) 12
d) 16

Answer
d

 
Question : 5 There are 10 true-false
questions in an examination. These questions can be answered in:

a) 20 ways

b) 100 ways

c) 512 ways

d) 1024 ways

Answer: d

Explanation:

Given that
there are 10 questions.

Each question
can be answered in two ways. (i.e. either true or false).

Hence, the
number of ways these questions can be answered is 210, which is
equal to 1024.

Question : 6 Find the number of 5
letter words which can be formed from word PULSE without repetition.


a) 20
b) 60
c) 120
d) 240

Answer
c

Question : 7 Find the number of 5
letter words which can be formed from word PULSE if repetition is allowed.


a) 25
b) 120
c) 125
d) 3125

Answer
d

Question : 8 How many 5-digit
numbers are possible without repetition of digits?


a) 27216
b) 50400
c) 100000
d) 90000

Answer
a

Question : 9 How many 5-digit
numbers are possible if repetition of digits is allowed?


a) 27216
b) 50400
c) 100000
d) 90000

Answer
d

Question : 10  If nP5 = 60n−1P3,
the value of n is

a) 6

b) 10

c) 12

d) 16

Answer: b

Question : 11 How many 4 digits even
numbers are possible from digits 1 to 9 if repetition is allowed?


a) 6561
b) 2016
c) 1344
d) 2916

Answer
d

Question : 12 A
circle have 25 points on it. What is the possible number of chords are there ?

a) 250                     

b) 300                      

c) 325                              

d) 400

Answer
b

Question : 13 How many 4 digits even
numbers are possible from digits 1 to 9 if repetition is allowed?


a) 6561
b) 2016
c) 1344
d) 2916

Answer
d

Question : 14 How many 4 digits even
numbers are possible from digits 1 to 9 if repetition is not allowed?


a) 6561
b) 2016
c) 1344
d) 2916

Answer
c

Question : 15 How many 5-digit
telephone numbers can be constructed using the digits 0 to 9 if each number starts with
67 and no digit appears more than once?

a) 336                

b) 448              

c) 588                     

d) 235

Answer
a


Case Study Based Questions Class 10 | Mathematics

by

 Case Study Based Questions Class 10  

Real numbers, Polynomials, Pair of Linear Equations in two variables, Coordinate Geometry, Area Related to Plane figures, Probability 

HOW TO INTRODUCE CASE STUDY BASED QUESTION IN CLASS X

CASE STUDY -1,  CHAPTER -1,  REAL NUMBERS

The diagram shown below is a prime factor tree

Based on the information given in the above factor tree, answer the following questions.

Question 1) Find the value of a ?

Maths MCQ Class 11 Ch-6 | Linear Inequalities

by

   Mathematics

MCQ | Class 11 | Chapter 06
Linear Inequalities

Multiple Choice Questions (MCQ)

  • MCQ Based on the  Linear inequalities.
  • MCQ  Based on the Graph of Linear Inequalities.
  • MCQ Based on the average of numbers.

Features

  • In this post given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
  • Solution Hints are also given to some difficult problems. 
  • Each MCQ contains four options from which one option is correct. 

Action Plan

  • First of all students should Learn and write all basic points and Formulas related to the Linear Inequalities.
  • Start solving  the NCERT Problems with examples.
  • Solve the important assignments on the Linear Inequalities Chapter 6 Class XI.
  • Then start solving the following MCQ.

MCQ | CHAPTER 6 | CLASS 11
LINEAR INEQUALITIES

 

Question 1) 

The length of a rectangle is three times the breadth. If the
minimum perimeter of the rectangle is 160 cm, then

(a) breadth >20 cm

(b) length <20 cm

(c) breadth x ≥20 cm

(d) length ≤ 20cm

Answer: (c)

Solution: Let x be the breadth of a rectangle.

So, length = 3x

Given that the
minimum perimeter of a rectangle is 160 cm. Thus, 

⇒ 2 (3x + x)
≥ 160

⇒ 4x ≥ 80  ⇒ x ≥ 20

Question 2):  7 > 5 is

a) linear inequality
b) quadratic inequality
c) numerical inequality
d) literal inequality

Answer: c 

Explanation: Since
here numbers are compared with inequality sign so, it is called numerical
inequality.

Question 3): If
x is a whole number and 10x ≤ 50 then find solution set of x.


a) {0, 1, 2, 3, 4, 5}
b) {1, 2, 3, 4, 5}
c) {1, 2, 3, 4}
d) {0, 1, 2, 3, 4}

Answer: a
Explanation: 10x ≤ 50
Dividing by 10 on both sides, x ≤ (50/10) ⇒ x ≤ 5
Since x is a whole number so x = 0, 1, 2, 3, 4, 5.

Question 4):  If – 3x + 17 < – 13, then

(a) x ∈ (10, ∞)

(b) x ∈ [10, ∞)

(c) x ∈ (– ∞, 10]

(d) x ∈ [– 10, 10)

Answer: (a)

Solution:
Given, -3x + 17< -13

Subtracting 17 from both sides,

-3x + 17 – 17 < -13 – 17

⇒ -3x < -30

⇒ x > 10 {since the division by negative number inverts the inequality sign}

⇒ x ∈ (10, ∞)

Question 5): If
2x + 1 > 5 then which is true?


a) x > 4
b) x < 4
c) x > 2
d) x < 2

Answer c

 
Question 6): x  > 5 is 


a) double inequality
b) quadratic inequality
c) numerical inequality
d) literal inequality

Answer: d
Explanation: Since a variable ‘x’ is compared
with number ‘5’ with inequality sign so it is called literal inequality.

 
Question 7): If
x – 1 > – x + 7 then which is true?


a) x > 4
b) x < 4
c) x > 2
d) x < 2

Answer a

 
Question 8):  ax2 + bx + c > 0 is 


a) double inequality
b) quadratic inequality
c) numerical inequality
d) linear inequality

Answer b

 
Question 9): Rahul
obtained 20 and 25 marks in first two tests. Find the minimum marks he should
get in the third test to have an average of at least 30 marks.


a) 60
b) 35
c) 180
d) 45

Answer: d

 
Question 10): If
|x −1| > 5, then

(a) x ∈
(– 4, 6)

(b) x ∈
[– 4, 6]

(c) x ∈
(– ∞, – 4) U (6, ∞)

(d) x ∈
[– ∞, – 4) U [6, ∞)

Answer: (c)

Solution: |x – 1| > 5

x – 1 < – 5
and x – 1 > 5

x < -4 and x
> 6

Therefore, x ∈
(-∞, -4) U (6, ∞)

Question 11): Find
all pairs of consecutive odd positive integers both of which are smaller than 8
such that their sum is more than 10.


a) (5, 7)
b) (3, 5), (5, 7)
c) (3, 5), (5, 7), (7, 9)
d) (5, 7), (7, 9)

Answer: a

 
Question 12):  If
 , then

(a) x ∈
[7, ∞)

(b) x ∈
(7, ∞)

(c) x ∈
(– ∞, 7)

(d) x ∈
(– ∞, 7]

Answer: (b)

Solution:

Given, |x –
7|/(x – 7) ≥ 0

This is possible
when x − 7 ≥ 0, and x – 7 ≠ 0.

Here, x ≥ 7 but
x ≠ 7

Therefore, x
> 7, i.e. x ∈ (7, ∞).

Question 13): The
longest side of a triangle is 2 times the shortest side and the third side is 4
cm shorter than the longest side. If the perimeter of the triangle is at least
61 cm, find the minimum length of the shortest side.


a) 7
b) 9
c) 11
d) 13

Answer: d

 


Maths MCQ Class IX Ch-4 | Linear Equations in Two Variables

by

    Mathematics

MCQ | Class 09 | Chapter 4
Linear Equations in Two Variables

Multiple Choice Questions (MCQ)

  • MCQ Based on the Linear Equations in Two Variables.

  • MCQ  Based on the Graph of Linear Equations in Two Variables.

  • MCQ Based on the Solution of Linear Equations.

Features

  • In the MCQ given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
  • Solution Hints are also given to some difficult problems. 
  • Each MCQ contains four options from which one option is correct. 

Action Plan

  • First of all students should Learn and write all basic points and Formulas related to the Chapter 4  Linear Equations in Two Variables.
  • Start solving  the NCERT Problems with examples.
  • Solve the important assignments on the Chapter 4 Class XI.
  • Then start solving the following MCQ.

MCQ | CHAPTER – 4 | CLASS IX
LINEAR EQUATIONS IN TWO VARIABLES

Q1)  The linear equation
3x – 11y = 10 has:

a. Unique solution

b. Two solutions

c. Infinitely many solutions

d. No solutions

Answer: c


Q2) Equation of a line which is 5 units distance above the x-axis is

a) x = 5
b) x + 5 = y
c) y – 5
d) x – y = 0

Answer c

Q3) 3x + 10 = 0 will have:

a) Unique solution

b) Two solutions

c) Infinitely many solutions

d) No solutions

Answer: a

Q4) x = 3 and y = -2 is a solution of the equation 4px – 3y = 12, then the
value of p is


a) 0

b) 1/2
c) 2
d) 3

Answer b

Q5) x = 3 and y = -2 is a solution of the equation 4px – 3y = 12, then the
value of p is

a) 0
b) 12
c) 2
d) 3 

Answer d

Q6) The solution of
equation x – 2y = 4 is:

a) (0, 2)

b) (2, 0)

c) (4, 0)

d) (1, 1)

Answer: c

Q7) Any point of the form (a, – a) always lie on the graph of the equation

a) x = -a
b) y = a
c) y = x
d) x + y = 0

Answer d

Q8) Find the value of k,
if x = 1, y = 2 is a solution of the equation 2x + 3y = k.

a) 5

b) 6

c) 7

d) 8

Answer: d

Q9) The graph of
x = 9 is a straight line:

a) Intersecting both the axes

b) parallel to y-axis

c) parallel to x-axis

d) Passing through the origin

Answer: (b)

Q10) Point (3, 4) lies on
the graph of the equation 3y = kx + 7. The value of k is:

a) 4/3

b) 5/3

c) 3

d) 7/3

Answer: b

Q11) Any point on
the x-axis is of the form:

a) (0, y)

b) (x, 0)

c) (x, x)

d) (x, y)

Answer: (b)

Q12) The graph of linear
equation x + 2y = 2, cuts the y-axis at:

a) (2,0)

b) (0,2)

c) (0,1)

d) (1,1)

Answer: c

Q13) x = 9, y = 4
is a solution of the linear equation:

a) 2x + y = 17

b) x + y = 17

c) x + 2y = 17

d) 3x – 2y = 17

Answer: (c)

Q14) Any point on line x =
y is of the form:

a) (k, -k)

b) (0, k)

c) (k, 0)

d) (k, k)

Answer: d