Contents

- 1 MCQ Questions for Class 10 Maths with Answer Keys
- 1.1 MCQ Questions for Real Numbers Class 10 Maths
- 1.2 MCQ Questions for Polynomials Class 10 Maths
- 1.3 MCQ Questions for Linear Equations Class 10 Maths
- 1.4 MCQ Questions for Quadratic Equations Class 10 Maths
- 1.5 MCQ Questions for Arithmetic Progression Class 10 Maths
- 1.6 MCQ Questions for Triangles Class 10 Maths
- 1.7 MCQ Questions for Coordinate Geometry Class 10 Maths
- 1.8 MCQ Questions for Trigonometry Class 10 Maths
- 1.9 MCQ Questions for Application of Trigonometry Class 10 Maths
- 1.10 MCQ Questions for Circles Class 10 Maths
- 1.11 MCQ Questions for Area Related to Circles Class 10 Maths
- 1.12 MCQ Questions for Surface Area and Volumes Class 10 Maths
- 1.13 MCQ Questions for Statistics Class 10 Maths
- 1.14 MCQ Questions for Probability Class 10 Maths

## MCQ Questions for Class 10 Maths with Answer Keys

Hi students, Welcome to **AMBiPi (Amans Maths Blogs)**. In this article, you will get * Previous Year MCQ Questions for CBSE Board Class 10 Maths with Answer Keys*. These multiple choice questions are taken from CBSE Board Class 10 Maths previous year questions papers and all of these questions are with the answer keys.

You can these questions as in PDF format. The * PDF downloading link is given after MCQ Question No 100*.

### MCQ Questions for Real Numbers Class 10 Maths

**Real Numbers Class 10 Maths MCQ Question No 1**

What is the HCF of smallest prime number and the smallest composite number ?

**Option A** : 1

**Option B** : 2

**Option C** : 3

**Option D** : 4

**Show/Hide Answer Key**

**Option B : 2**

**Real Numbers Class 10 Maths MCQ Question No 2**

Find LCM and HCF of 3930 and 1800.

**Option A** : 225800

**Option B** : 235600

**Option C** : 235800

**Option D** : 225600

**Show/Hide Answer Key**

**Option B : 235800**

### MCQ Questions for Polynomials Class 10 Maths

**Polynomials Class 10 Maths MCQ Question No 3**

If three zeroes of a polynomial x^{4} – x^{3} – 3x^{2} + 3x are 0, √3 and -√3, then find the fourth zero of the polynomial.

**Option A** : 1

**Option B** : -1

**Option C** : 2

**Option D** : –3

**Show/Hide Answer Key**

**Option A : 1**

**Polynomials Class 10 Maths MCQ Question No 4**

If the zeroes of a quadratic polynomial p(x) = ax^{2} + 7x + b = 0 are 2/3 and -3, then find the values of a and b.

**Option A** : a = 6 and b = 3

**Option B** : a = 3 and b = 6

**Option C** : a = -6 and b = 3

**Option D** : a = 3 and b = -6

**Show/Hide Answer Key**

**Option D : a = 3 and b = -6**

**Polynomials Class 10 Maths MCQ Question No 5**

Find a quadratic polynomial, the sum and product of whose zeroes are 0 and -3/5 respectively.

**Option A** : 3x^{2} – 5

**Option B** : x^{2} – 5/3

**Option C** : x^{2} – 3/5

**Option D** : None of these

**Show/Hide Answer Key**

**Option C : x ^{2} – 3/5**

**Polynomials Class 10 Maths MCQ Question No 6**

If the quadratic polynomial p(x) = px^{2} – 2√5px + 15 has equal roots, then the value of p is

**Option A** : 0

**Option B** : 3

**Option C** : 5

**Option D** : 2

**Show/Hide Answer Key**

**Option B : 3**

**Polynomials Class 10 Maths MCQ Question No 7**

For the quadratic polynomial p(x) = 2x^{2} + 6√3x – 60, find the product of roots.

**Option A** : 30

**Option B** : 60

**Option C** : -30

**Option D** : -60

**Show/Hide Answer Key**

**Option C : -30**

**Polynomials Class 10 Maths MCQ Question No 8**

Find that non-zero value of k, for which the quadratic polynomial p(x) = (k + 1)x^{2} – 2(k – 1)x + 1 has equal roots.

**Option A** : 1

**Option B** : 3

**Option C** : 2

**Option D** : 4

**Show/Hide Answer Key**

**Option B : 3**

### MCQ Questions for Linear Equations Class 10 Maths

**Linear Equations Class 10 Maths MCQ Question No 9**

In the figure below, ABCD is a rectangle. Find the values of the product xy.

**Option A** : 120

**Option B** : 254

**Option C** : 176

**Option D** : 258

**Show/Hide Answer Key**

**Option C : 176**

**Linear Equations Class 10 Maths MCQ Question No 10**

The system of linear equations 3x + 2y = 8 and 6x – 4y = 9 are

**Option A** : consistent

**Option B** : inconsistent

**Option C** : non solvable

**Option D** : None of these

**Show/Hide Answer Key**

**Option A : consistent**

**Linear Equations Class 10 Maths MCQ Question No 11**

Find the value of x + y, if 3x – y = 7 and 2x + 5y + 1 = 0.

**Option A** : 0

**Option B** : 2

**Option C** : 1

**Option D** : 3

**Show/Hide Answer Key**

**Option C : 1**

**Linear Equations Class 10 Maths MCQ Question No 12**

The sum of the digits of a two digit number is 8 and the difference between the number and that formed by reversing the digits is 18. Find the number.

**Option A** : 53

**Option B** : 26

**Option C** : 35

**Option D** : 62

**Show/Hide Answer Key**

**Option A : 53**

### MCQ Questions for Quadratic Equations Class 10 Maths

**Quadratic Equations Class 10 Maths MCQ Question No 13**

If x = 3 is one root of the quadratic equation x^{2} – 2kx – 6 = 0, then find the value of k.

**Option A** : 1/2

**Option B** : 3

**Option C** : 1/3

**Option D** : 2/3

**Show/Hide Answer Key**

**Option A : 1/2**

**Quadratic Equations Class 10 Maths MCQ Question No 14**

Find the value of p, for which one root of the quadratic equation px^{2} – 14x + 8 = 0 is 6 times the other.

**Option A** : 1/2

**Option B** : 3

**Option C** : 4

**Option D** : 2/5

**Show/Hide Answer Key**

**Option B : 3**

**Quadratic Equations Class 10 Maths MCQ Question No 15**

Find the value of k for which the equation x^{2} + k(2x + k – 1) + 2 = 0 has real and equal roots.

**Option A** : 2

**Option B** : 4

**Option C** : 6

**Option D** : 8

**Show/Hide Answer Key**

**Option A : 2**

**Quadratic Equations Class 10 Maths MCQ Question No 16**

If – 5 is a root of the quadratic equation 2x^{2} + px – 15 = 0 and the quadratic equation p(x^{2} + x) + k = 0 has equal roots, find the value of k.

**Option A** : 7/4

**Option B** : 7

**Option C** : 6/5

**Option D** : 8

**Show/Hide Answer Key**

**Option A : 7/4**

**Quadratic Equations Class 10 Maths MCQ Question No 17**

Find x: √(2x + 9) + x = 13

**Option A** : 20

**Option B** : 14

**Option C** : 8

**Option D** : 2

**Show/Hide Answer Key**

**Option A : 8**

**Quadratic Equations Class 10 Maths MCQ Question No 18**

If the roots of the quadratic equation (a – b)x^{2} + (b – c)x + (c – a) = 0 are equal, then

**Option A** : 2b = a + c

**Option B** : 2a = b + c

**Option C** : 2c = a + b

**Option D** : None of these

**Show/Hide Answer Key**

**Option A : 2a = b + c**

**Quadratic Equations Class 10 Maths MCQ Question No 19**

Three consecutive natural numbers are such that the square of the middle number exceeds the difference of the squares of the other two by 60. Find the middle number.

**Option A** : 9

**Option B** : 10

**Option C** : 11

**Option D** : 12

**Show/Hide Answer Key**

**Option B : 10**

**Quadratic Equations Class 10 Maths MCQ Question No 20**

If 4x^{2} + 4bx – (a^{2} – b^{2}) = 0, then find x.

**Option A** : (a + b)

**Option B** : (a – b)

**Option C** : (a + b)/2

**Option D** : (a – b)/2

**Show/Hide Answer Key**

**Option D : (a – b)/2**

**Quadratic Equations Class 10 Maths MCQ Question No 21**

If x = -1/2, is a solution of the quadratic equation 3×2 + 2kx – 3= 0, find the value of k.

**Option A** : -9/4

**Option B** : 9/4

**Option C** : 3/5

**Option D** : -3/5

**Show/Hide Answer Key**

**Option A : -9/4**

### MCQ Questions for Arithmetic Progression Class 10 Maths

**Arithmetic Progression Class 10 Maths MCQ Question No 22**

In an AP, if the common difference (d) = –4 and the seventh term (a_{7}) is 4, then find the first term.

**Option A** : 26

**Option B** : 25

**Option C** : 28

**Option D** : 27

**Show/Hide Answer Key**

**Option C : 28**

**Arithmetic Progression Class 10 Maths MCQ Question No 23**

Find the sum of first 8 multiples of 3

**Option A** : 102

**Option B** : 124

**Option C** : 108

**Option D** : 139

**Show/Hide Answer Key**

**Option C : 108**

**Arithmetic Progression Class 10 Maths MCQ Question No 24**

What is the common difference of an A.P. in which a_{21} – a_{7} = 84?

**Option A** : 3

**Option B** : 4

**Option C** : 5

**Option D** : 6

**Show/Hide Answer Key**

**Option D : 6**

**Arithmetic Progression Class 10 Maths MCQ Question No 25**

Which term of the progression 20, 19 1/4, 18 1/2, 17 3/4, … is the first negative term?

**Option A** : 27

**Option B** : 26

**Option C** : 28

**Option D** : 29

**Show/Hide Answer Key**

**Option C : 28**

**Arithmetic Progression Class 10 Maths MCQ Question No 26**

Which term of the A.P. 8, 14, 20, 26, … will be 72 more than its 41st term ?

**Option A** : 54^{th}

**Option B** : 55^{th}

**Option C** : 53^{rd}

**Option D** : 52^{nd}

**Show/Hide Answer Key**

**Option C : 53 ^{rd}**

**Arithmetic Progression Class 10 Maths MCQ Question No 27**

If the 10th term of an A.P. is 52 and the 17th term is 20 more than the 13th term, find the first term.

**Option A** : 5

**Option B** : 7

**Option C** : 6

**Option D** : 4

**Show/Hide Answer Key**

**Option A : 7**

**Arithmetic Progression Class 10 Maths MCQ Question No 28**

Find how many integers between 200 and 500 are divisible by 8 ?

**Option A** : 35

**Option B** : 37

**Option C** : 36

**Option D** : 34

**Show/Hide Answer Key**

**Option B : 37**

**Arithmetic Progression Class 10 Maths MCQ Question No 29**

For the A.P. 8, 10, 12…., if it has a total of 60 terms, then find the sum of its last 10 terms.

**Option A** : 2536

**Option B** : 3726

**Option C** : 2850

**Option D** : 1170

**Show/Hide Answer Key**

**Option D : 1170**

### MCQ Questions for Triangles Class 10 Maths

**Triangles Class 10 Maths MCQ Question No 30**

Given ∆ABC ~ ∆PQR, if AB/PQ = 1/3, then find the ratio ar(∆ABC) / ar(∆PQR).

**Option A** : 1/9

**Option B** : 1/3

**Option C** : 9

**Option D** : 3

**Show/Hide Answer Key**

**Option A : 1/9**

**Triangles Class 10 Maths MCQ Question No 31**

In triangle ABC, D and E are points AC and BC respectively such that DE || AB. If AD = 2x, BE = 2x – 1, CD = x + 1 and CE = x – 1, then find the value of x.

**Option A** : 1/2

**Option B** : 1/3

**Option C** : 2/5

**Option D** : 3/7

**Show/Hide Answer Key**

**Option B : 1/3**

**Triangles Class 10 Maths MCQ Question No 32**

The perimeter of a right triangle is 60 cm. Its hypotenuse is 25 cm. Find the area of the triangle.

**Option A** : 120 cm^{2}

**Option B** : 150 cm^{2}

**Option C** : 180 cm^{2}

**Option D** : 100 cm^{2}

**Show/Hide Answer Key**

**Option B : 150 cm ^{2}**

**Triangles Class 10 Maths MCQ Question No 33**

In ∆ DEW, AB || EW. If AD = 4 cm, DE = 12 cm and DW = 24 cm, then find the value of DB.

**Option A** : 10

**Option B** : 6

**Option C** : 12

**Option D** : 8

**Show/Hide Answer Key**

**Option D : 8**

**Triangles Class 10 Maths MCQ Question No 34**

In given figure below, EB ⊥ AC, BG ⊥ AE and CF ⊥ AE. Which of the following is NOT true?

**Option A** : ∆ABG ~ ∆DCB

**Option B** : ∆ABG ~ ∆ACF

**Option C** : ∆ABE ~ ∆AFC

**Option D** : None of these

**Show/Hide Answer Key**

**Option D : None of these. All are correct.**

**Triangles Class 10 Maths MCQ Question No 35**

In given figure below, AD = 3 cm, AE = 5 cm, BD = 4 cm, CE = 4 cm, CF = 2 cm, BF = 2.5 cm, then find the length of EF.

**Option A** : 7/2

**Option B** : 28/9

**Option C** : 9/2

**Option D** : 25/3

**Show/Hide Answer Key**

**Option B : 28/9**

### MCQ Questions for Coordinate Geometry Class 10 Maths

**Coordinate Geometry Class 10 Maths MCQ Question No 36**

Find the distance of a point P(x,y) from the origin.

**Option A** : 0

**Option B** : √(x + y)

**Option C** : √(x^{2} + y^{2})

**Option D** : √(x^{2} – y^{2})

**Show/Hide Answer Key**

**Option D : √(x ^{2} – y^{2})**

**Coordinate Geometry Class 10 Maths MCQ Question No 37**

Find the ratio in which P (4, m) divides the line segment joining the points A (2, 3) and B (6, –3). Hence find m.

**Option A** : Ratio = 1 : 2 and m = 0

**Option B** : Ratio = 1 : 3 and m = 1

**Option C** : Ratio = 1 : 1 and m = 0

**Option D** : Ratio = 1 : 4 and m = 2

**Show/Hide Answer Key**

**Option C : Ratio = 1 : 1 and m = 0**

**Coordinate Geometry Class 10 Maths MCQ Question No 38**

If A (–2, 1), B (a, 0), C (4, b) and D (1, 2) are the vertices of a parallelogram ABCD, find the value of (a + b).

**Option A** : 3

**Option B** : 1

**Option C** : 4

**Option D** : 2

**Show/Hide Answer Key**

**Option D : 2**

**Coordinate Geometry Class 10 Maths MCQ Question No 39**

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, – 5) is the mid-point of PQ, then find the co-ordinates of P and Q.

**Option A** : P(0, 10) and Q(4, 0)

**Option B** : P(0, -10) and Q(4, 0)

**Option C** : P(10, 0) and Q(0, 4)

**Option D** : P(-10, 0) and Q(0, 4)

**Show/Hide Answer Key**

**Option B : P(0, -10) and Q(4, 0)**

**Coordinate Geometry Class 10 Maths MCQ Question No 40**

If the distances of P(x, y), from A(5, 1) and B(– 1, 5) are equal, then

**Option A** : x = y

**Option B** : 3x = y

**Option C** : x = 2y

**Option D** : 3x = 2y

**Show/Hide Answer Key**

**Option D : 3x = 2y**

**Coordinate Geometry Class 10 Maths MCQ Question No 41**

If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible values of k ?

**Option A** : k = 4

**Option B** : k = -5

**Option C** : k = 5 or -5

**Option D** : k = 4 or -4

**Show/Hide Answer Key**

**Option D : k = 4 or -4**

**Coordinate Geometry Class 10 Maths MCQ Question No 42**

Let P and Q be the points of trisection of the line segment joining the points A(2, – 2) and B(– 7, 4) such that P is nearer to A. Find the coordinates of P and Q.

**Option A** : P(1, 0) and Q(-4, 2)

**Option B** : P(-4, 2) and Q(1, 0)

**Option C** : P(-4, 2) and Q(-1, 0)

**Option D** : P(-1, 0) and Q(-4, 2)

**Show/Hide Answer Key**

**Option D : P(-1, 0) and Q(-4, 2)**

**Coordinate Geometry Class 10 Maths MCQ Question No 43**

If the point P(x, y) is equidistant from the points A(a + b, b – a) and B(a – b, a + b). Then,

**Option A** : ax = by

**Option B** : bx = ay

**Option C** : ab = xy

**Option D** : None of these

**Show/Hide Answer Key**

**Option B : bx = ay**

**Coordinate Geometry Class 10 Maths MCQ Question No 44**

The relation between x and y if the points A(x, y), B(– 5, 7) and C(– 4, 5) are collinear.

**Option A** : y = 2x + 3

**Option B** : y = 2x – 3

**Option C** : y = -2x + 3

**Option D** : y = -2x – 3

**Show/Hide Answer Key**

**Option D : y = – 2x – 3**

**Coordinate Geometry Class 10 Maths MCQ Question No 45**

Find the values of k so that the area of the triangle with vertices (k + 1, 1), (4, – 3) and (7, – k) is 6 sq. units.

**Option A** : 3

**Option B** : 4

**Option C** : -2

**Option D** : -1

**Show/Hide Answer Key**

**Option A : 3**

**Coordinate Geometry Class 10 Maths MCQ Question No 46**

Find the coordinates of a point P on the line segment joining A(1, 2) and B(6, 7) such that AP = 2AB/5.

**Option A** : (4, 3)

**Option B** : (2, 4)

**Option C** : (3, 4)

**Option D** : (4, 2)

**Show/Hide Answer Key**

**Option C : (3, 4)**

**Coordinate Geometry Class 10 Maths MCQ Question No 47**

If A (5, 2), B(2, – 2) and C(– 2, t) are the vertices of a right angled triangle with ∠B = 90°. then find the value of t.

**Option A** : -1

**Option B** : 1

**Option C** : 1/2

**Option D** : 1/3

**Show/Hide Answer Key**

**Option B : 1**

### MCQ Questions for Trigonometry Class 10 Maths

**Trigonometry Class 10 Maths MCQ Question No 48**

What is the value of (cos^{2}67° – sin^{2}23°) ?

**Option A** : 0

**Option B** : 1

**Option C** : 1/2

**Option D** : 1/3

**Show/Hide Answer Key**

**Option A : 0**

**Trigonometry Class 10 Maths MCQ Question No 49**

If tan 2A = cot (A – 18°), where 2A is an acute angle, find the value of A.

**Option A** : 36^{o}

**Option B** : 72^{o}

**Option C** : 18^{o}

**Option D** : 54^{o}

**Show/Hide Answer Key**

**Option A : 36 ^{o}**

**Trigonometry Class 10 Maths MCQ Question No 50**

In A, B and C are interior angles of triangle ABC, then sin[(A + C) / 2] is equal to

**Option A** : sin B/2

**Option B** : tan B/2

**Option C** : cos B/2

**Option D** : sec B/2

**Show/Hide Answer Key**

**Option C : cos A/2**

**Trigonometry Class 10 Maths MCQ Question No 51**

If x = 3 sin θ and y = 4 cos θ, find the value of √(16x^{2} + 9y^{2})

**Option A** : 10

**Option B** : 25

**Option C** : 13

**Option D** : 12

**Show/Hide Answer Key**

**Option D : 12**

**Trigonometry Class 10 Maths MCQ Question No 52**

In the ∆ABC, ∠A = right angle, AB = √x and BC = √(x + 5). Evaluate sinC.cosC.tanC + cos^{2}C.sin A

**Option A** : 1

**Option B** : 0

**Option C** : 2

**Option D** : -1

**Show/Hide Answer Key**

**Option A : 1**

**Trigonometry Class 10 Maths MCQ Question No 53**

If ∆ ABC is right angled at B, what is the value of sin (A + C).

**Option A** : 0

**Option B** : 1

**Option C** : -1

**Option D** : 1/2

**Show/Hide Answer Key**

**Option A : 0**

**Trigonometry Class 10 Maths MCQ Question No 54**

If √3sinθ = cosθ, then find the value of (3cos2θ + 2cosθ) / (3cosθ + 2)

**Option A** : √3

**Option B** : 1/2

**Option C** : 1

**Option D** : √3/2

**Show/Hide Answer Key**

**Option D : √3/2**

### MCQ Questions for Application of Trigonometry Class 10 Maths

**Application of Trigonometry Class 10 Maths MCQ Question No 55**

If a tower 30 m high, casts a shadow 10√3 m long on the ground, then what is the angle of elevation

of the sun?

**Option A** : 30^{o}

**Option B** : 45^{o}

**Option C** : 60^{o}

**Option D** : 75^{o}

**Show/Hide Answer Key**

**Option C : 60 ^{o}**

**Application of Trigonometry Class 10 Maths MCQ Question No 56**

From the top of a 7 m high building, the angle of elevation of the top of a tower is 60° and the angle

of depression of its foot is 45°. Find the height of the tower?

**Option A** : 14

**Option B** : 7√3

**Option C** : 7(√3 + 1)

**Option D** : 7(√3 + 2)

**Show/Hide Answer Key**

**Option C : 7(√3 + 1)**

**Application of Trigonometry Class 10 Maths MCQ Question No 57**

The angle of elevation of the top of a hill at the foot of a tower is 60° and the angle of elevation of the top of the tower from the foot of the hill is 30°. If height of the tower is 50 m, find the height of the hill.

**Option A** : 150 m

**Option B** : 120 m

**Option C** : 140 m

**Option D** : 130 m

**Show/Hide Answer Key**

**Option A : 150 m**

**Application of Trigonometry Class 10 Maths MCQ Question No 58**

A ladder, leaning against a wall, makes an angle of 60° with the horizontal. If the foot of the ladder

is 2.5 m away from the wall, find the length of the ladder.

**Option A** : 2.5 m

**Option B** : 2 m

**Option C** : 3.5 m

**Option D** : 5 m

**Show/Hide Answer Key**

**Option D : 5 m**

**Application of Trigonometry Class 10 Maths MCQ Question No 59**

A man standing on the deck of a ship, which is 10 m above water level, observes the angle of elevation of the top of a hill as 60° and the angle of depression of the base of hill as 30°. Find the height of the hill

**Option A** : 40 m

**Option B** : 30 m

**Option C** : 20 m

**Option D** : 15 m

**Show/Hide Answer Key**

**Option A : 40 m**

**Application of Trigonometry Class 10 Maths MCQ Question No 60**

As observed from the top of a light house, 100 m high above sea level, the angles of depression of a ship, sailing directly towards it, changes from 30° to 60°. Find the distance travelled by the ship during the period of observation.

**Option A** : 200 / √3 m

**Option B** : 200√3 m

**Option C** : 100 m

**Option D** : 100 / √3 m

**Show/Hide Answer Key**

**Option A : 200 / √3 m**

**Application of Trigonometry Class 10 Maths MCQ Question No 61**

In the figure below, a tower AB is 20 m high and BC, its shadow on the ground, is 20√3 m long. Find the angle θ.

**Option A** : 200 / √3 m

**Option B** : 200√3 m

**Option C** : 100 m

**Option D** : 100 / √3 m

**Show/Hide Answer Key**

**Option A : 200 / √3 m**

**Application of Trigonometry Class 10 Maths MCQ Question No 62**

The tops of two towers of height x and y, standing on level ground, subtend angles of 30° and 60° respectively at the centre of the line joining their feet, then find x : y.

**Option A** : 1 : 1

**Option B** : 1 : 3

**Option C** : 3 : 1

**Option D** : 1 : √3

**Show/Hide Answer Key**

**Option B : 1 : 3**

### MCQ Questions for Circles Class 10 Maths

**Circles Class 10 Maths MCQ Question No 63**

If the angle between two tangents drawn from an external point P to a circle of radius a and centre O, is 60°, then find the length of OP.

**Option A** : 3a

**Option B** : a

**Option C** : 4a

**Option D** : 2a

**Show/Hide Answer Key**

**Option D : 2a**

**Circles Class 10 Maths MCQ Question No 64**

In the given figure, PA and PB are tangents to the circle from an external point P. CD is another

tangent touching the circle at Q. If PA = 12 cm, QC = QD = 3 cm, then find PC + PD.

**Option A** : 18

**Option B** : 15

**Option C** : 9

**Option D** : 6

**Show/Hide Answer Key**

**Option A : 18**

**Circles Class 10 Maths MCQ Question No 65**

In the figure below, PQ is a tangent at a point C to a circle with centre O. If AB is a diameter and ∠CAB = 30°, find ∠PCA.

**Option A** : 30°

**Option B** : 45°

**Option C** : 60°

**Option D** : 75°

**Show/Hide Answer Key**

**Option C : 60°**

**Circles Class 10 Maths MCQ Question No 66**

In the figure below, If the radius of the circle is r and OP = 2r, then find ∠OTS.

**Option A** : 30°

**Option B** : 45°

**Option C** : 60°

**Option D** : 75°

**Show/Hide Answer Key**

**Option A : 30°**

**Circles Class 10 Maths MCQ Question No 67**

From an external point P, tangents PA and PB are drawn to a circle with centre O. If ∠ PAB = 50°, then find ∠ AOB.

**Option A** : 50°

**Option B** : 80°

**Option C** : 100°

**Option D** : 120°

**Show/Hide Answer Key**

**Option C : 100°**

**Circles Class 10 Maths MCQ Question No 68**

In the figure below, AP and BP are tangents to a circle with centre O, such that AP = 5 cm and ∠ APB = 60°. Find the length of chord AB.

**Option A** : 5/2

**Option B** : 5√3

**Option C** : 5

**Option D** : 5/√3

**Show/Hide Answer Key**

**Option C : 5**

**Circles Class 10 Maths MCQ Question No 69**

In the figure below, the area of triangle ABC is 54 cm^{2}, then find the length of AB.

**Option A** : 15

**Option B** : 9

**Option C** : 12

**Option D** : 18

**Show/Hide Answer Key**

**Option B : 9**

**Circles Class 10 Maths MCQ Question No 70**

In the figure below, AB is the diameter of a circle with centre O and AT is a tangent. If ∠AOQ = 58°, find ∠ATQ.

**Option A** : 29

**Option B** : 58

**Option C** : 32

**Option D** : 61

**Show/Hide Answer Key**

**Option D : 61**

**Circles Class 10 Maths MCQ Question No 71**

In the figure below, tangents PQ and PR are drawn from an external point P to a circle with centre O, such that ∠RPQ = 30°. A chord RS is drawn parallel to the tangent PQ. Find ∠RQS.

**Option A** : 75

**Option B** : 60

**Option C** : 30

**Option D** : 50

**Show/Hide Answer Key**

**Option C : 30**

### MCQ Questions for Area Related to Circles Class 10 Maths

**Area Related to Circles Class 10 Maths MCQ Question No 72**

In the given figure below, ABCD is a rectangle of dimensions 21 cm × 14 cm. A semicircle is drawn

with BC as diameter. Find the area of the shaded region in the figure.

**Option A** : 217 cm^{2}

**Option B** : 249 cm^{2}

**Option C** : 235 cm^{2}

**Option D** : 223 cm^{2}

**Show/Hide Answer Key**

**Option A : 217 cm ^{2}**

**Area Related to Circles Class 10 Maths MCQ Question No 73**

In the given figure below, ∆ ABC is a right-angled triangle in which ∠ A is 90°. Semicircles are drawn on AB, AC and BC as diameters. Find the area of the shaded region.

**Option A** : 7 cm^{2}

**Option B** : 4 cm^{2}

**Option C** : 5 cm^{2}

**Option D** : 6 cm^{2}

**Show/Hide Answer Key**

**Option D : 6 cm ^{2}**

**Area Related to Circles Class 10 Maths MCQ Question No 74**

In the given figure below, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the shaded region.

**Option A** : 49 cm^{2}

**Option B** : 49/8 cm^{2}

**Option C** : 49/6 cm^{2}

**Option D** : 49/2 cm^{2}

**Show/Hide Answer Key**

**Option B : 49/8 cm ^{2}**

**Area Related to Circles Class 10 Maths MCQ Question No 75**

In the given figure below, O is the centre of a circle such that diameter AB = 13 cm and AC = 12 cm. BC is joined. Find the area of the shaded region.

**Option A** : 30 cm^{2}

**Option B** : 66.33 cm^{2}

**Option C** : 36.33 cm^{2}

**Option D** : 46 cm^{2}

**Show/Hide Answer Key**

**Option C : 36.33 cm ^{2}**

**Area Related to Circles Class 10 Maths MCQ Question No 76**

Find the area of the minor segment of a circle of radius 14 cm, when its central angle is 60°.

**Option A** : 17.89 cm^{2}

**Option B** : 18.36 cm^{2}

**Option C** : 15.52 cm^{2}

**Option D** : 14.39 cm^{2}

**Show/Hide Answer Key**

**Option A : 17.89 cm ^{2}**

**Area Related to Circles Class 10 Maths MCQ Question No 77**

All the vertices of a rhombus lie on a circle. Find the area of the rhombus, if the area of the circle is 400π cm^{2}.

**Option A** : 400 cm^{2}

**Option B** : 600 cm^{2}

**Option C** : 800 cm^{2}

**Option D** : 200 cm^{2}

**Show/Hide Answer Key**

**Option C : 800 cm ^{2}**

**Area Related to Circles Class 10 Maths MCQ Question No 78**

The diagonal of a rectangular field is 16 m more than the shorter side. If the longer side is 14 m more than the shorter side, then find the lengths of the rectangular field.

**Option A** : 24 cm

**Option B** : 12 cm

**Option C** : 18 cm

**Option D** : 26 cm

**Show/Hide Answer Key**

**Option A : 24 cm**

### MCQ Questions for Surface Area and Volumes Class 10 Maths

**Surface Area & Volumes Class 10 Maths MCQ Question No 79**

The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends are 18 cm and

6 cm. Find the curved surface area of the frustum.

**Option A** : 35 cm^{2}

**Option B** : 48 cm^{2}

**Option C** : 65 cm^{2}

**Option D** : 54 cm^{2}

**Show/Hide Answer Key**

**Option B : 48 cm ^{2}**

**Surface Area & Volumes Class 10 Maths MCQ Question No 80**

Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of hemisphere ?

**Option A** : 8

**Option B** : 7

**Option C** : 6

**Option D** : 9

**Show/Hide Answer Key**

**Option D : 9**

**Surface Area & Volumes Class 10 Maths MCQ Question No 81**

A metallic solid sphere of radius 10.5 cm is melted and recasted into smaller solid cones, each of radius 3.5 cm and height 3 cm. How many cones will be made ?

**Option A** : 125

**Option B** : 124

**Option C** : 127

**Option D** : 126

**Show/Hide Answer Key**

**Option D : 126**

**Surface Area & Volumes Class 10 Maths MCQ Question No 82**

A solid metallic sphere of diameter 16 cm is melted and recasted into smaller solid cones, each of radius 4 cm and height 8 cm. Find the number of cones so formed.

**Option A** : 16

**Option B** : 14

**Option C** : 17

**Option D** : 15

**Show/Hide Answer Key**

**Option A : 16**

**Surface Area & Volumes Class 10 Maths MCQ Question No 83**

A well of diameter 4 m is dug 21 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 3 m to form an embankment. Find the height of the embankment.

**Option A** : 4 m

**Option B** : 6 m

**Option C** : 8 m

**Option D** : 9 m

**Show/Hide Answer Key**

**Option A : 4 m**

**Surface Area & Volumes Class 10 Maths MCQ Question No 84**

The sum of the radius of base and height of a solid right circular cylinder is 37 cm. If the total surface area of the solid cylinder is 1628 sq. cm, find the volume of the cylinder.

**Option A** : 3430 m^{3}

**Option B** : 4200 m^{3}

**Option C** : 4620 m^{3}

**Option D** : 3260 m^{3}

**Show/Hide Answer Key**

**Option C : 4620 m ^{3}**

**Surface Area & Volumes Class 10 Maths MCQ Question No 85**

The length, breadth and height of a room are 8 m 50 cm, 6 m 25 cm and 4 m 75 cm respectively. Find the length of the longest rod that can measure the dimensions of the room exactly.

**Option A** : 25 cm

**Option B** : 50 cm

**Option C** : 75 cm

**Option D** : 100 cm

**Show/Hide Answer Key**

**Option A : 25 cm**

### MCQ Questions for Statistics Class 10 Maths

**Statistics Class 10 Maths MCQ Question No 86**

If empirical relationship between mean, median and mode is expressed as mean = k(3 median – mode), then find the value of k

**Option A** : 1/2

**Option B** : 1/7

**Option C** : 2/9

**Option D** : 5/9

**Show/Hide Answer Key**

**Option A : 1/2**

**Statistics Class 10 Maths MCQ Question No 87**

For the following distribution, find the median class.

**Option A** : 140-160

**Option B** : 180-200

**Option C** : 160-180

**Option D** : 120-140

**Show/Hide Answer Key**

**Option D : 120-140**

**Statistics Class 10 Maths MCQ Question No 88**

From the following frequency distribution, find the median class :

**Option A** : 1400-1550

**Option B** : 1550-1700

**Option C** : 1700-1850

**Option D** : 1850-2000

**Show/Hide Answer Key**

**Option A : 1/2**

### MCQ Questions for Probability Class 10 Maths

**Probability Class 10 Maths MCQ Question No 89**

An integer is chosen at random between 1 and 100. Find the probability that it is :

**Option A** : 5/49

**Option B** : 6/49

**Option C** : 8/49

**Option D** : 9/49

**Show/Hide Answer Key**

**Option B : 6/49**

**Probability Class 10 Maths MCQ Question No 90**

A bag contains 15 white and some black balls. If the probability of drawing a black ball from the bag is thrice that of drawing a white ball, find the number of black balls in the bag

**Option A** : 15

**Option B** : 30

**Option C** : 45

**Option D** : 60

**Show/Hide Answer Key**

**Option C : 45**

**Probability Class 10 Maths MCQ Question No 91**

Two different dice are thrown together. Find the probability that the numbers obtained is a doublet of odd numbers.

**Option A** : 5/12

**Option B** : 1/12

**Option C** : 1/3

**Option D** : 1/4

**Show/Hide Answer Key**

**Option B : 1/12**

**Probability Class 10 Maths MCQ Question No 92**

A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting neither a red card nor a queen.

**Option A** : 5/13

**Option B** : 6/13

**Option C** : 7/26

**Option D** : 3/52

**Show/Hide Answer Key**

**Option B : 6/13**

**Probability Class 10 Maths MCQ Question No 93**

Three different coins are tossed together. Find the probability of getting at least two heads.

**Option A** : 3/8

**Option B** : 1/4

**Option C** : 1/2

**Option D** : 1/8

**Show/Hide Answer Key**

**Option B : 1/4**

**Probability Class 10 Maths MCQ Question No 94**

A number x is selected at random from the numbers 1, 2, 3 and 4. Another number y is selected at random from the numbers 1, 4, 9 and 16. Find the probability that product of x and y is less than 16.

**Option A** : 1/2

**Option B** : 1/8

**Option C** : 1/4

**Option D** : 5/16

**Show/Hide Answer Key**

**Option A : 1/2**

**Probability Class 10 Maths MCQ Question No 95**

From a pack of 52 playing cards, Jacks, Queens and Kings of red colour are removed. From the remaining, a card is drawn at random. Find the probability that drawn card is a card of red colour.

**Option A** : 1/23

**Option B** : 10/23

**Option C** : 1/13

**Option D** : 10/13

**Show/Hide Answer Key**

**Option B : 10/23**

**Probability Class 10 Maths MCQ Question No 96**

Cards marked with number 3, 4, 5, ….., 50 are placed in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the selected card bears a perfect square number.

**Option A** : 1/8

**Option B** : 1/6

**Option C** : 3/16

**Option D** : 5/16

**Show/Hide Answer Key**

**Option A : 1/8**

**Probability Class 10 Maths MCQ Question No 97**

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is either a king or a queen.

**Option A** : 11/13

**Option B** : 2/13

**Option C** : 3/13

**Option D** : 5/13

**Show/Hide Answer Key**

**Option B : 2/13**

**Probability Class 10 Maths MCQ Question No 98**

A bag contains white, black and red balls only. A ball is drawn at random from the bag. If the probability of getting a white ball is 3/10 and of a black ball is 2/5, then find the probability of getting a red ball.

**Option A** : 7/10

**Option B** : 3/5

**Option C** : 3/10

**Option D** : 5/17

**Show/Hide Answer Key**

**Option C : 3/10**

**Probability Class 10 Maths MCQ Question No 99**

A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is a consonant.

**Option A** : 4/13

**Option B** : 1/13

**Option C** : 5/26

**Option D** : 21/26

**Show/Hide Answer Key**

**Option D : 21/26**

**Probability Class 10 Maths MCQ Question No 100**

A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is divisible by 2 or 3.

**Option A** : 1/4

**Option B** : 1/5

**Option C** : 11/20

**Option D** : 13/20

**Show/Hide Answer Key**

**Option D : 13/20**

CBSE Class 10 Maths Chapterwise MCQs |
---|

1 : Real Numbers MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

2 : Polynomials MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

3 : Linear Equations MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

4 : Quadratic Equations MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

5 : Arithmetic Progression MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

6 : Triangles MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

7 : Coordinate Geometry MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

8 : Introduction to Trigonometry MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

9 : Application of Trigonometry MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

10 : Circles MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

11 : Constructions MCQ | 1 to 10 | 11 to 20 |

12 : Area Related to Circles MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

13 : Surface Area & Volume MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

14 : Statistics MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

15 : Probability MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

16 : Previous Year Maths MCQs from CBSE Board Class 10| 1 to 100 |