Author Archives: Priyanka

NCERT MCQ ON IS MATTER AROUND US IS PURE?

Question 1.
Which of the following statements are true for pure substances?
(i) Pure substances contain only one kind of particles
(ii) Pure substances may be compound or mixtures
(iii) Pure substances have the same composition throughout
(iv) Pure substances can be exemplified by all elements other than nickel
(a) (i) and (ii)
(b) (i) and (iii)
(c) (iii) and (iv)
(d) (ii) and (iii)

Answer: (b) (i) and (iii)

Question 2.
Rusting of an article made up of iron is called
(a) corrosion and it is a physical as well as chemical change
(b) dissolution and it is a physical change
(c) corrosion and it is a chemical change
(d) dissolution and it is a chemical change

Answer: (c) corrosion and it is a chemical change

Question 3.
A mixture of Sulphur and Carbon disulphide is
(a) heterogeneous and shows Tyndall effect
(b) homogeneous and shows Tyndall effect
(c) heterogeneous and does not show Tyndall effect
(d) homogeneous and does not show Tyndall effect

Answer: (d) homogeneous and does not show Tyndall effect

Question 4.
Tincture of iodine has antiseptic properties. This solution is made by dissolving
(a) iodine in potassium iodide
(b) iodine in vaseline
(c) iodine in water
(d) iodine in alcohol

Answer: (d) iodine in alcohol

Question 5.
Which of the following are homogeneous in nature?
(i) ice
(ii) wood
(iii) soil
(iv) air
(a) (i) and (iii)
(b) (ii) and (iv)
(c) (i) and (iv)
(d) (iii) and (iv)

Answer: (c) (i) and (iv)

Question 6.
Blood and sea water are
(a) both mixtures
(b) both are compounds
(c) blood is a mixture whereas sea water is a compound
(d) blood is a compound and sea water is a mixture

Answer: (a) both mixtures

Question 7.
Sol and gel are examples of
(a) Solid-solid colloids
(b) Sol is a solid-liquid colloid and gel is liquid solid colloid
(c) Sol is solid-solid colloid and gel is solid-liquid colloid
(d) Sol is a liquid-solid colloid and gel is a solid-liquid colloid

Answer: (b) Sol is a solid-liquid colloid and gel is liquid solid colloid

Question 8.
In a water-sugar solution
(a) water is solute and sugar is solvent
(b) water is solvent and sugar is solute
(c) water is solute and water is also solvent
(d) none of these

Answer: (b) water is solvent and sugar is solute

Question 9.
Boron and carbon are
(a) metalloids
(b) metalloid and non-metal respectively
(c) metal
(d) non-metal and metalloid respectively

Answer: (b) metalloid and non-metal respectively

Question 10.
Which of the following are physical changes?
(i) Melting of iron metal
(ii) Rusting of iron
(iii) Bending of an iron rod
(iv) Drawing a wire of iron metal
(a) (i), (ii) and (iii)
(b) (i), (ii) and (iv)
(c) (i), (iii) and (iv)
(d) (ii), (iii) and (iv)

Answer: (c) (i), (iii) and (iv)

Question 11.
Which of the following are chemical changes?
(i) Decaying of wood
(ii) Burning of wood
(iii) Sawing of wood
(iv) Hammering of a nail into a piece of wood
(a) (i) and (ii)
(b) (ii) and (iii)
(c) (iii) and (iv)
(d) (i) and (iv)

Answer: (a) (i) and (ii)

Question 12.
Two substances, A and B were made to react to reaction a third substance, A₂B according to the following
2 A + B → A₂B
Which of the following statements concerning this reaction are incorrect?
(i) The product A₂B shows the properties of substances A and B
(ii) The product will always have a fixed composition
(iii) The product so formed cannot be classified as a compound
(iv) The product so formed is an element
(a) (i), (ii) and (iii)
(b) (ii), (iii) and (iv)
(c) (i), (iii) and (iv)
(d) (ii), (iii) and (iv)

Answer: (c) (i), (iii) and (iv)

Question 13.
Two chemical species X and Y combine together to form a product P which contains both X and Y
X + Y → P
X and Y cannot be broken down into simpler substances by simple chemical reactions. Which of the following concerning the species X, Y and P are correct?
(i) P is a compound
(ii) X and Y are compounds
(iii) X and Y are elements
(iv) P has a fixed composition
(a) (i), (ii) and (iii)
(b) (i), (ii) and (iv)
(c) (ii), (iii) and (iv)
(d) (i), (iii) and (iv)

Answer: (d) (i), (iii) and (iv)

Question 14.
Which of the following methods would you use to separate cream from milk?
(a) Fractional distillation
(b) Distillation
(c) Centrifugation
(d) Filtration

Answer: (c) Centrifugation

Question 15.
Cooking of food and digestion of food:
(a) are both physical processes
(b) are both chemical processes
(c) cooking is physical whereas digestion is chemical
(d) cooking is chemical whereas digestion is physical

Answer: (b) are both chemical processes

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NCERT MCQ ON MATTER IN OUR SURROUNDINGS

Q1. What is the matter?

1. Anything that has mass.
2. Anything that has volume.
3. Anything that has mass and volume.
4. Anything that has mass and volume and occupy space.

Ans. Anything that has mass and volume and occupies space.

Q2. The matter is made up of: 

1. Cell
2. Molecules
3. Particles
4. Gas

Ans. Particles

Q3. We cannot see the atom with:

1. Naked eye
2. Microscope
3. Electron microscope
4. Telescope

Ans. Naked eye

Q4. Particles of matter have:

1. Volume
2. Speed
3. Potential energy
4. Space between them

Ans. Space between them

Q5. Particles of the matter:

1. Attract each other
2. Repel each other
3. Both of them
4. None of them

Ans. Attract each other

Q6. Matter exists in:

1. Three state
2. Two state
3. One state
4. Five state

Ans. Three state

Q7. Solids have distinct:

1. Shape
2. Size
3. Volume
4. Boundary

Ans. Boundary

Q8. Mass per unit volume of a substance is called its:

1. Density
2. Volume
3. Mass
4. Kinetic energy

Ans. Density

Q9. Liquids are:

1. Incompressible
2. Compressible
3. Light
4. All of them

Ans. Incompressible

Q10. Gases are:

1. Incompressible
2. Compressible
3. Highly compressible
4. All of them

Ans. Highly compressible

Q11. The density of gases is:

1. Maximum
2. Minimum
3. Medium
4. None of the above

Ans. minimum

Q12. CNG (Compressed Natural Gas) is:

1. Clean fuel
2. Rocket fuel
3. CFCs
4. Not a fuel

Ans. Clean fuel

Q13. The states of matter are:

1. Interchangeable
2. Interconvertible
3. Interlinked
4. Interconnected

Ans. Interconvertible

Q14. The factor responsible for converting one state of matter into another:

1. Change in temperature
2. Change in pressure
3. Both a and b
4. Change in humidity

Ans. Both a and b

Q15. The process of conversion of matter from its solid state to its liquid state at specific conditions of temperature and pressure is called:

1. Boiling point
2. Freezing point
3. Vaporization
4. Melting point

Ans. Melting point

NCERT MCQ ON SURFACE AREAS AND VOLUMES

Question 1.
If a spherical balloon grows to twice its radius when inflated, then the ratio of the volume of the inflated balloon to the original balloon is
(a) 8 : 1
(b) 4 : 1
(c) 5 : 1
(d) 6 : 1

Answer: (a) 8 : 1

Question 2.
The length of the longest rod that can fit in a cubical vessel of side 10 cm, is
(a) 10 cm
(b) 10√2 cm
(c) 10√3 cm
(d) 20 cm

Answer: (c) 10√3 cm

Question 3.
A right circular cone has an altitude of 40 cm and a diameter of 60 cm. The slant height of the cone is
(a) 25 cm
(b) 100 cm
(c) 75 cm
(d) 50 cm

Answer: (d) 50 cm

Question 4.
If the diameter of the base of a cylindrical pillar is 4 m and its height is 21 m, then the cost of construction of the pillar at Rs. 1.50 per cubic metre is:
(a) Rs. 396
(b) Rs. 400
(c) Rs. 410
(d) Rs. 420

Answer: (a) Rs. 396

Question 5.
The height of a right circular cone of radius 5 cm and slant height 13 cm is
(a) 8 cm
(b) 14 cm
(c) 6 cm
(d) 12 cm

Answer: (d) 12 cm

Question 6.
The curved surface area of a right circular cone whose slant height is 14 cm and base radius is 21 cm is​
(a) 308 cm²
(b) 924 cm²
(c) 232 cm²
(d) 446 cm²

Answer: (b) 924 cm²

Question 7.
The perimeter of one face of a cube is 40 cm. The volume of the cube (in cm³) is :
(a) 1600
(b) 1000
(c) 800
(d) 160

Answer: (b) 1000

Question 8.
The volume of the cylinder whose height is 14 cm and diameter of base 4 cm is:
(a) 176 cm³
(b) 196 cm³
(c) 276 cm³
(d) 352 cm³

Answer: (a) 176 cm³

Question 9.
A beam 9 m long, 40 cm wide and 20 cm deep is made up of iron which weighs 50 kg per cubic metre. The weight of the beam is
(a) 27 kg
(b) 36 kg
(c) 48 kg
(d) 56 kg

Answer: (b) 36 kg

Question 10.
The area surrounded by a conical tent is 4526 m². If the cost of canvas is Rs. 17 per square meter, then find the total cost of canvas.​
(a) ₹52100
(b) ₹76942
(c) ₹65000
(d) ₹85246

Answer: (b) ₹76942

Question 11.
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) 11200 sq.cm

Question 12.
The volume of a sphere is 38808 cu.cm. The curved surface area of the sphere (in cm²) is :
(a) 5544
(b) 1386
(c) 8316
(d) 4158

Answer: (a) 5544

Question 13.
The height of a right circular cone of radius 3.5 cm and volume 77 cm³ is​
(a) 9 cm
(b) 11 cm
(c) 4 cm
(d) 6 cm

Answer: (d) 6 cm

Question 14.
The ratio of the radii of two spheres whose volumes are in the ratio 64 : 27 is
(a) it is 8 : 3.
(b) it is 16 : 9.
(c) it is 10 : 7.
(d) it is 4 : 3.

Answer: (d) it is 4 : 3.

Question 15.
If the diameter of a cylinder is 28 cm and its height is 20 cm, then total surface area (in cm²) is :
(a) 2993
(b) 2992
(c) 2292
(d) 2229

Answer: (b) 2992

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NCERT MCQ ON HERON’S FORMULA

Question 1.

The sides of a triangles are 3cm, 4cm, 5cm. The area is

a) 15 cm²

b) 12 cm²

c) 9 cm²

d) 6 cm²

Answer: d)

Question 2.

The area of ΔABC is:

a) 20 cm²

b) 10 cm²

c) 4√5 cm²

d) 2√5 cm²

Answer: d)

Question 3.

The area of a triangular sign board of sides 5 cm, 12 cm and 13 cm is:

a) 60 cm²

b) 30 cm²

c) 12 cm²

d) 65/2 cm²

Answer: b)

Question 4.

The sides of a triangle are in a ratio of 25:14:12 and its perimeter is 510 m. The greatest side of the triangle is:

a) 270 m

b) 250 m

c) 170 m

d) 120 m

Answer: b)

Question 5.

The perimeter of a right triangle is 60 cm and its hypotenuse is 26 cm. The other two sides of the triangle are:

a) 26 cm, 8 cm

b) 25 cm, 9 cm

c) 24 cm, 10 cm

d) 20 cm, 14 cm

Answer: c)

Question 6.

The area of the quadrilateral ABCD in the adjoining figure is:

a) 14.8 cm²

b) 15 cm²

c) 15.2 cm²

d) 16.4 cm²

Answer: c)

Question 7.

The area of trapezium in the adjoining figure is:

a) 286 m²

b) 296 m²

c) 306 m²

d) 316 m²

Answer: c)

Question 8.

The area of the quadrilateral ABCD in the adjoining figure is:

a) 57 cm²

b) 95 cm²

c) 102 cm²

d) 114 cm²

Answer: d)

Question 9.

When the sum of squares of two sides of a triangle is equal to the square of the length of the third side, then it is called a:

a) Scalene triangle

b) Right triangle

c) Isosceles triangle

d) Equilateral triangle

Answer: b)

Question 10.

The perimeter of an equilateral triangle is 60 m. The area is:

a) 10√3 m²

b) 15√3 m²

c) 20√3 m²

d) 100√3 m²

Answer: d)

Question 11.

The area of an equilateral triangle with side 2√3 cm is:

a) 5.196 cm²

b) 3.496 cm²

c) 1.732 cm²

d) 0.866 cm²

Answer: a)

Question 12.

The length of each side of an equilateral triangle having an area of 9√3cm² is:

a) 4 cm

b) 6 cm

c) 8 cm

d) 36 cm

Answer: b)

Question13.

The sides of a triangle are 35 cm, 54 cm and 61 cm, respectively. The length of its longest altitude is:

a) 10√5 cm

b) 16√5 cm

c) 24√5 cm

d) 28 cm

Answer: c)

Question14.

The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is

Answer: c)

Question 15.

The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of painting it at the rate of 9 paise per cm² is:

a) Rs. 2.00

b) Rs. 2.16

c) Rs. 2.48

d) Rs. 3.00

Answer: b)

NCERT MCQ ON CONSTRUCTIONS

Question 1.
If a, b and c are the lengths of the three sides of a triangle, then which of the following is true?
(a) a + b < c
(b) a – b < c
(c) a + b = c

Answer: (b) a – b < c

Question 2.
With the help of a ruler and compasses, which of the following is not possible to construct?
(a) 70°
(b) 60°
(c) 135°

Answer: (a) 70°

Question 3.
Which of the following sets of angles can be the angles of a triangle?
(a) 30°, 60°, 80°
(b) 40°, 60°, 70°
(c) 50°, 30°, 100°

Answer: (c) 50°, 30°, 100°

Question 4.
The construction of the triangle ABC is possible if it is given that BC = 4 cm, ∠C = 60° and the difference of AB and AC is
(a) 3.5 cm
(b) 4.5 cm
(c) 3 cm
(d) 2.5 cm

Answer: (b) 4.5 cm

Question 5.
Which of the following can be the length of BC required to construct the triangle ABC such that AC = 7.4 cm and AB = 5 cm?
(a) 3.5 cm
(b) 2.1 cm
(c) 4.7 cm

Answer: (b) 2.1 cm

Question 6.
If we want to construct a triangle, given its perimeter, then we need to know:
(a) Sum of two sides of triangle
(b) Difference between two sides of triangle
(c) One base angles
(d) Two base angles

Answer: (c) One base angles

Question 7.
To construct a bisector of a given angle, we need:
(a) A ruler
(b) A compass
(c) A protractor
(d) Both ruler and compass

Answer: (d) Both ruler and compass

Question 8.
Which of the following set of lengths can be the sides of a triangle?
(a) 2 cm, 4 cm, 1.9 cm
(b) 1.6 cm, 3.7 cm, 5.3 cm
(c) 5.5 cm, 6.5 cm, 8.9 cm
(d) None of the above

Answer: (c) 5.5 cm, 6.5 cm, 8.9 cm

Question 9.
Which of these angles cannot be constructed using ruler and compasses?
(a) 120
(b) 60
(c) 140
(d) 135

Answer: (c) 140

Question 10.
Which of the following angles can be constructed using ruler and compasses?
(a) 35
(b) 45
(c) 95
(d) 55

Answer: (b) 45

Question 11.

On a ray AB with initial point A, Taking A as centre and some radius, draw an arc of a circle, which intersects AB, say at a point D. Taking D as centre and with the same radius as before, draw an arc intersecting the previously drawn arc, say at a point E. Draw the ray AC passing through E. Then, the measure of ∠CAB is

(a) 30°

(b) 60°

(c) 45°

(d) 15°

Answer: (b) 60°

Question 12.

The bisector of an angle lies in its

(a) Interior

(b) On the arms of the angle

(c) Any where in the plane

(d) Exterior

Answer :(a) Interior

Question 13.

If two circles touches internally then distance between their centres is equal to

(a) sum of radii

(b) difference of radii

(c) not possible to determine

(d) none

Answer: (b) difference of radii

Question 14.

Two radii of same circle are always :

(a) may inchired at any angle

(b) perpendicular

(c) parallel

(d) parallel and may inchired at any angle

Answer:(d) parallel and may inchired at any angle

Question 15.
Which of these angles cannot be constructed using ruler and compasses?

(a) 120°

(b) 60°

(c) 140°

(d) 135°

Answer :(c) 140°

NCERT MCQ ON CIRCLES

1.   In the figure, if O is the centre of a circle, then the measure of ∠ACB is:   

    (i) 80°(ii) 100°(iii) 40°(iv) 60°

Answer- (iii) 40°

2.   The angle subtended by the diameter of a semicircle is:     

  (i) 45°(ii) 180°(iii) 90°(iv) 60°

Answer- (iii) 90°

3.   In the figure, if O is the Centre of the circle, then the measure of x is:   

    (i) 40°(ii) 80°(iii) 50°(iv) 110°

Answer- (iii) 50°

4.   In the figure, if O is the centre of the circle, then what is the measure of ∠ADC?       

(i) 45°(ii) 60°(iii) 90°(iv) 110°

Answer- (i) 45°

5.   In the figure, O is the centre of the circle. What is the measure of ∠AOC?     

  (i) 120°(ii) 136°(iii) 128°(iv) 158°

Answer- (iv) 158°

6.   In the figure, O is the centre of the circle and PR = QR. What is the measure of ∠PQR?       

(i) 60°(ii) 110°(iii) 75°(iv) 45°

Answer- (iv) 45°

7.   In the figure, O is the centre of the circle. What is the measure of ∠ACB?     

  (i) 45°(ii) 60°(iii) 70°(iv) 90°

Answer- (ii) 60°

8.   In the figure, O is the centre of the circle. What is the value of x?     

  (i) 125°(ii) 105°(iii) 95°(iv) 85°

Answer- (ii) 105°

9.   In the figure, O is the centre of the circle. If ∠ADC = 140°, then what is the value of x?     

  (i) 45°(ii) 55°(iii) 60°(iv) 45°

Answer- (iv) 45°

10.   If ∠A and ∠C are in the ratio 3 : 2, then we have:          ∠A = ? and ∠B = ?   

  (i) 108°, 75°(ii) 120°, 60°(iii) 105°, 75°(iv) 125°, 55°

Answer- (i) 108°, 75°

11.If there are two separate circles drawn apart from each other, then the maximum number of common points they have:
(i) 0
(ii) 1
(iii) 2
(iv) 3

Answer: (i) 0

12.D is diameter of a circle and AB is a chord. If AD = 50 cm, AB = 48 cm, then the distance of AB from the centre of the circle is
(i) 6 cm
(ii) 8 cm
(iii) 5 cm
(iv) 7 cm

Answer: (iv) 7 cm

13.In a circle with center O and a chord BC, points D and E lie on the same side of BC. Then, if ∠BDC=80°, then ∠BEC =
(i) 80°
(ii) 20°
(iii) 160°
(iv) 40°

Answer: (i) 80°

14.The center of the circle lies in______ of the circle.
(i) Interior
(ii) Exterior
(iii) Circumference
(iv) None of the above

Answer: (i) Interior

15.If chords AB and CD of congruent circles subtend equal angles at their centers, then:
(i) AB = CD
(ii) AB > CD
(iii) AB < AD
(iv) None of the above

Answer: (i) AB = CD

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NCERT MCQ ON PARALLELOGRAM AND TRIANGLES

Question 1.
What is the area of a parallelogram?
(a) 12 × Base × Altitude
(b) Base × Altitude
(c) 14 × Base × Median
(d) Base × Base

Answer: (b) Base × Altitude

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Question 2.
AE is a median to side BC of triangle ABC. If area(ΔABC) = 24 cm, then area(ΔABE) =
(a) 8 cm
(b) 12 cm
(c) 16 cm
(d) 18 cm

Answer: (b) 12 cm

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Question 3.
In the figure, ∠PQR = 90°, PS = RS, QP = 12 cm and QS = 6.5 cm. The area of ΔPQR is

(a) 30 cm²
(b) 20 cm²
(c) 39 cm²
(d) 60 cm²

Answer: (a) 30 cm²

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Question 4.
BCD is quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD
ABCD is quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD
(a) is a rectangles
(b) is a parallelogram
(c) is a rhombus
(d) need not be any of (a), (b) or (c).

Answer: (d) need not be any of (a), (b) or (c).

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Question 5.
In ΔPQR, if D and E are points on PQ and PR respectively such that DE || QR, then ar (PQE) is equal to

(a) ar (PRD)
(b) ar (DQM)
(c) ar (PED)
(d) ar (DQR)

Answer: (a) ar (PRD)

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Question 6.
If Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Then,
(a) ar (AOD) = ar (BOC)
(b) ar (AOD) > ar (BOC)
(c) ar (AOD) < ar (BOC)
(d) None of the above

Answer: (a) ar (AOD) = ar (BOC)

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Question 7.
For two figures to be on the same base and between the same parallels, one of the lines must be.

(a) Making an acute angle to the common base
(b) The line containing the common base
(c) Perpendicular to the common base
(d) Making an obtuse angle to the common base

Answer: (b) The line containing the common base

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Question 8.
Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is:

(a) 1 : 3
(b) 1 : 2
(c) 2 : 1
(d) 1 : 1

Answer: (d) 1 : 1

Question 9.
If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram is
(a) 1 : 3
(b) 1 : 2
(c) 3 : 1
(d) 1 : 4

Answer: (b) 1 : 2

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Question 10 .
The median of a triangle divides it into two
(a) isosceles triangle
(b) congruent triangles
(c) right angled triangle
(d) triangles of equal areas

Answer: (d) triangles of equal areas

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Question 11.
PQRS is a parallelogram and A and B are any points on PQ and QR. If ar(PQRS) = 48 cm², then ar(ΔPBS) + ar(ΔASR) is equal to

(a) 96 cm²
(b) 36 cm²
(c) 48 cm²
(d) 24 cm²

Answer: (c) 48 cm²

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Question 12.
A, B, C and D are the mid-points of sides of parallelogram PQRS. If ar(PQRS) = 36 cm², then ar(ABCD) is

(a) 24 cm²
(b) 18 cm²
(c) 30 cm²
(d) 36 cm²

Answer: (b) 18 cm²

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Question 13.
ABCD is a trapezium in which AB || DC. If ar(ΔABD) = 24 cm² and AB = 8 cm, then height of ΔABC is

(a) 3 cm
(b) 6 cm
(c) 8 cm
(d) 4 cm

Answer: (d) 4 cm

Question 14.
PQRS is a parallelogram. If X and Y are the mid-points of PQ and SR and diagonal SQ is joined, then ar(XQRY) : ar(ΔQSR) is

(a) 1 : 2
(b) 1 : 4
(c) 1 : 1
(d) 2 : 1

Answer: (c) 1 : 1

Question 15 .
In quadrilateral PQRS, M is the mid-point of PR. If ar(SMQR) = 18 cm², then ar(PQMS) is

(a) 24 cm²
(b) 12 cm²
(c) 18 cm²
(d) 36 cm²

Answer: (c) 18 cm²

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NCERT MCQ ON QUADRILATERALS

Question 1.

Three angles of a quadrilateral are 75°, 90°and 75°, the fourth angle is
(a) 90°
(b) 95°
(c) 105°
(d) 120°

Answer: (d) 120°

Question 2.

A diagonal of a rectangle is inclined to one side of the rectangle at 25°. The acute angle between the diagonals is
(a) 55°
(b) 50°
(c) 40°
(d) 25°

Answer: (b) 50°

Question 3.

ABCD is a rhombus such that ∠ACB = 40°, then ∠ADB is
(a) 40°
(b) 45°
(c) 50°
(d) 60°

Answer: (c) 50°

Question 4.

If angles A, B, C and D of a quadrilateral ABCD, taken in order, are in the ratio 3 : 7 : 6 : 4, then ABCD is a
(a) rhombus
(b) parallelogram
(c) trapezium
(d) kite.

Answer: (c) trapezium

Question 5.

The diagonals AC and BD of a || gm ABCD intersect each other at the point O. If ∠DAC = 32° and ∠AOB = 70°, then ∠DBC is equal to
(a) 24°
(b) 86°
(c) 38°
(d) 32°

Answer: (c) 38°

Question 6.

ABCD is a rhombus such that ∠ABC = 40°, then ∠ADC is equal to
(a) 40°
(b) 45°
(c) 50°
(d) 20°

Answer: (a) 40°

Question 7.

In the following figure, ABCD and AEFG are two parallelograms. If ∠C = 60°, then ∠GFE is

(a) 30°
(b) 60°
(c) 90°
(d) 120°

Answer: (b) 60°

Question 8.

The bisectors of any two adjacent angles of a || gm intersect at
(a) 30°
(b) 45°
(c) 60°
(d) 90°

Answer: (d) 90°

Question 9.

If one angle of a parallelogram is 24° less than twice the smallest angle, then the measure of the largest angle of a parallelogram is
(a) 176°
(b) 68°
(c) 112°
(d) 102°

Answer: (c) 112°

Question 10.

If the diagonal of a rhombus are 18 cm and 24 cm respectively, then its side is equal to
(a) 16 cm
(b) 15 cm
(c) 20 cm
(d) 17 cm

Answer: (b) 15 cm

Question 11.

In the given figure, ABCD is a parallelogram. Find the value of x.

(a) 25°
(b) 60°
(c) 75°
(d) 45°

Answer: (d) 45°

Question 12 .

1. 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) square

Question 13.

The sum of all the angles of a quadrilateral is equal to:
a. 180°
b. 270°
c. 360°
d. 90°

Answer: (c) 360°

Question 14.

A trapezium has:
a. One pair of opposite sides parallel
b. Two pair of opposite sides parallel to each other
c. All its sides are equal
d. All angles are equal

Answer: (a) One pair of opposite sides parallel

Question 15.

A rhombus can be a:
a. Parallelogram
b. Trapezium
c. Kite
d. Square

Answer: (d) Square

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NCERT MCQ ON TRIANGLES

Question 1.

In given figure, the measure of ∠BAC is

(a) 60°
(b) 50°
(c) 70°
(d) 80°

Answer: (b) 50°

Question 2.

In figure if AE || DC and AB = AC, find the value of ∠ABD.

(a) 130°
(b) 110°
(c) 120°
(d) 70°

Answer: (a) 130°

Question 3.

In figure X is a point in the interior of square ABCD, AXYZ is also a square. If DY = 3 cm and AZ = 2 cm, then find BY.

(a) 5 cm
(b) 6 cm
(c) 7 cm
(d) 8 cm

Answer: (c) 7 cm

Question 4.

In figure AB ⊥ AE, BC ⊥ AB, CE = DE and ∠AED = 120°, then find ∠ECD.

(a) 80°
(b) 70°
(c) 85°
(d) 60°

Answer: (d) 60°

Question 5.

In ΔABC, ∠C = ∠A and BC = 4 cm and AC = 5 cm, then find length of AB.
(a) 5 cm
(b) 3 cm
(c) 4 cm
(d) 2.5 cm

Answer: (c) 4 cm

Question 6.
In ΔABC, AB = AC and ∠B = 50°, then find ∠C.
(a) 50°
(b) 40°
(c) 80°
(d) 120°

Answer: (a) 50°

Question 7.

In figure, D is the mid-point of side BC of a ΔABC and ∠ABD = 50°. If AD = BD = CD, then find the measure of ∠ACD.

(a) 30°
(b) 70°
(c) 80°
(d) 40°

Answer: (d) 40°

Question 8.

In figure, ABC is an isosceles triangle whose side AC is produce to E and through C, CD is drawn parallel to BA. Find the value of x.

(a) 52°
(b) 156°
(c) 76°
(d) 104°

Answer: (d) 104°

Question 9.

In figure AB ⊥ BE and EF ⊥ BE. If BC = DE and AB = EF, then ΔABD is congruent to

(a) ΔEFC
(b) ΔECF
(c) ΔDEF
(d) ΔFEC

Answer: (d) ΔFEC

Question 10.

D is a point on the side BC of a ΔABC such that AD bisects ∠BAC. Then
(a) BD = CD
(b) BA > BD
(c) BD > BA
(d) CD > CA

Answer: (b) BA > BD

Question 11.

It is given that ΔABC = ΔFDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true?
(а) DF = 5 cm, ∠F = 60°
(b) DF = 5 cm, ∠E = 60°
(c) DE = 5 cm, ∠E = 60°
(d) DE = 5 cm, ∠D = 40°

Answer: (b) DF = 5 cm, ∠E = 60°

Question 12.

Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be
(a) 3.6 cm
(b) 4.1 cm
(c) 3.8 cm
(d) 3.4 cm

Answer: (d) 3.4 cm

Question 13.

In ΔPQR, if ∠R > ∠Q, then
(a) QR > PR
(b) PQ > PR
(c) PQ < PR
(d) QR < PR

Answer: (b) PQ > PR

Question 14.

In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are
(a) isosceles but not congruent
(b) isosceles and congruent
(c) congruent but not isosceles
(d) neither congruent nor isosceles

Answer: (a) isosceles but not congruent

Question 15.

In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if
(a) BC = EF
(b) AC = DE
(c) AC = EF
(d) BC = DE

Answer: (b) AC = DE

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NCERT MCQ FOR LINES AND ANGLES

Question 1.

In ΔABC, ∠A = 50° and the external bisectors of ∠B and ∠C meet at O as shown in figure. The measure of ∠BOC is

(a) 40°
(b) 65°
(c) 115°
(d) 140°

Answer: (b) 65°

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Question 2.

In figure the value of x is

(a) 120°
(b) 130°
(c) 110°
(d) 100°

Answer: (b) 130°

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Question 3.

An exterior angle of a triangle is 80° and the interior opposite angles are in the ratio 1 : 3, measure of interior opposite angles are
(a) 30°, 90°
(b) 40°, 120°
(c) 20°, 60°
(d) 30°, 60°

Answer: (c) 20°, 60°

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Question 4.

In ΔABC, the bisectors of ∠ABC and ∠BCA intersect each other at O. The measure of ∠BOC is
(a) 90° + ∠A
(b) 90° + ∠A2
(c) 180 – ∠A
(d) 90° – ∠A2

Answer: (b) 90° + ∠A2

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Question 5.

In figure if ∠A + ∠B + ∠C + ∠D + ∠E + ∠F = k right angles, then find value of k.

(а) 2
(b) 3
(c) 4
(d) 5

Answer: (c) 4

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Question 6.

In the given figure, the measure of ∠ABC is

(a) 80°
(b) 20°
(c) 100°
(d) 60°

Answer: (a) 80°

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Question 7.

The angle of a triangle are in the ratio 5 : 3 : 7, the triangle is
(а) an acute-angled triangle
(b) an obtuse angled triangle
(c) an right angled triangle
(d) an isosceles triangle.

Answer: (а) an acute-angled triangle

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Question 8.

In figure l₁ || l₂, the value of x is

(a) 80°
(b) 100°
(c) 110°
(d) 70°

Answer: (a) 80°

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Question 9.

If one angle of triangle is equal to the sum of the other two, then the triangle is
(a) an isosceles triangle
(b) an obtuse-angled triangle
(c) an equilateral triangle
(d) a right triangle

Answer: (d) a right triangle

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Question 10.

One of the angles of a triangle is 75°. If the difference of other two is 35°, then the largest angle of other two angles has a measure
(a) 80°
(b) 75°
(c) 70°
(d) 135°

Answer: (c) 70°

Question 11 .

 If AB = x + 3, BC = 2x and AC = 4x – 5, then for what value of ‘x’, B lies on AC?

a) 2

b) 3

c) 5

d) 8

Answer: (d) 8

Question 12 .

 In the given figure, if AOB is a line then the measure of ∠BOC, ∠COD and ∠DOA respectively are:

a) 36^o, 54^o, 90^o

b) 36^o, 90^o, 54^o

c) 90^o, 36^o, 54^o

d) 90^o, 54^o, 36^o

 Answer: (a) 36^o, 54^o, 90^o

Question 13 .

In the figure, if x, y and z are exterior angles of ΔABC then x + y + z is:

a) 90^o

b) 180^o

c) 270^o

d) 360^o

Answer: (d) 360^o

Question 14 .

In the given figure, PQ || RS and ∠ACS = 127°, ∠BAC is:

a) 50^o
b) 53^o
c) 77^o
d) 107^o

Answer c) 77^o

Question 15.

In figure, AB || ED, the value of x is:

a) 26^o
b) 36^o
c) 54^o
d) 62^o

Answer a) 26^o

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