Class |
10 |

Board |
Haryana board |

Subject |
Math |

Category |
Important MCQ |

**HBSE Class 10 Math MCQ Important Question Answer 2024 PDF**

**HBSE Class 10 Math Chapter 1 – Real Numbers MCQ Important Question Answer 2024**

**1. Which of the following is not a rational number? Most Important**

(A)

(B)

(C)

(D)

**Answer**

**Ans – (B) **

** 2. Which of the following rational number is a terminating decimal ?**

(A)

(B)

(C)

(D) None of these

**Answer**

**Ans – (B) **

** 3. If H.C.F. of 225 and 135 is 45, then their L.C.M. is :**

(A) 675

(B) 1025

(C) 835

(D) 345

**Answer**

**Ans – (A) 675**

** 4. If H.C.F of 26 and 91 is 13, then their L.C.M is:**

(A) 184

(B) 183

(C) 182

(D) 181

**Answer**

**Ans – (C) 182**

** 5. The relation between HCF and LCM of 12 and 20 will be:**

(A) HCF > LCM

(B) HCF < LCM

(C) HCF = LCM

(D) None of these

**Answer**

**Ans – (B) HCF < LCM**

**HBSE Class 10 Math Chapter 2 – Polynomials MCQ Important Question Answer 2024**

**1. The Zeroes of Polynomial 4x ^{2} – 4x + 1 are :**

(A)

(B)

(C)

(D) None of the above

**Answer**

**Ans – (B) **

** 2. The Zeroes of Polynomial x² + 7x + 10 are**

(A) (2, 5)

(B) (-2, -5)

(C) (-2, 5)

(D) (2, -5)

**Answer**

**Ans – (B) (-2, -5)**

** 3. The zeroes of 6x ^{2} – 7x – 3 are:**

(A)

(B)

(C)

(D) None of these

**Answer**

**Ans – (A) **

** 4. If sum of roots of the quadratic polynomial is and product is , then the quadratic polynomial is :**

(A) 4x^{2} + x + 1

(B) 4x^{2} – x – 1

(C) 4x^{2} – x + 1

(D) 4x^{2} + x – 1

**Answer**

**Ans – (A) 4x ^{2} + x + 1**

** 5. Which one is polynomial ?**

(A)

(B)

(C)

(D) x³ +1

**Answer**

**Ans – (D) x³ +1**

** 6. Sum of zeros of the quadratic polynomial 2x ^{2} – 5x + 2 is :**

(A) -5

(B) 1

(C)

(D) -1

**Answer**

**Ans – (C) **

** 7. The graph given below is graph of a polynomial the number of zeros of this polynomial is:**

(A) 0

(B) 1

(C) 2

(D) 3

**Answer**

**Ans – (D) 3**

**HBSE Class 10 Math Chapter 3 – Pair of Linear Equations in Two Variables MCQ Important Question Answer 2024**

**1. If in equations a _{1}x + b_{1}y + c₁ = 0 and a₂x+b₂y+c_{2}=0, **

**then which of the following is true?**

(A) Unique solution

(B) No solution

(C) Infinite solutions

(D) None of these

**Answer**

**Ans – (C) Infinite solutions**

** 2. If in equations a _{1}x + b_{1}y + c₁ = 0 and a_{2}x + b_{2}y + c_{2} = 0, then which of the following is true?**

(A) Intersecting lines

(B) Coincident lines

(C) Parallel lines

(D) None of these

**Answer**

**Ans – (C) Parallel lines**

** 3. Solution of a pair of linear equations x – 2y + 3 = 0 and 3x – 6y + 9 = 0 will be :**

(A) Unique solution

(B) No solution

(C) Infinitely many solutions

(D) None of these

**Answer**

**Ans – (C) Infinitely many solutions**

** 4. Solution of a pair of linear equations x – 2y + 5 = 0 and 3x – 6y + 10 = 0 will be:**

(A) Unique solution

(B) No solution

(C) Infinitely many solutions

(D) None of these

**Answer**

**Ans – (C) Infinitely many solutions**

** 5. The solution of linear equations 3x + 4y = 10 and x – y =1 is :**

(A) x=1,y=2

(B) x=3, y=1

(C) x=2, y=1

(D) x=4, y=3

**Answer**

**Ans – (C) x=2, y=1**

** 6. The solution of linear equations s – t=3 and is :**

(A) s=3, t=5

(B) s=6, t=9

(C) s=9, t=6

(D) s=5, t=3

**Answer**

**Ans – (C) s=9, t=6**

** 7. Linear equations 2x – 3y + 9 = 0 and 4x – 6y + 18 = 0 represents lines :**

(A) Intersecting

(B) Coincident

(C) Parallel

(D) None of these

**Answer**

**Ans – (B) Coincident**

** 8. Point P(6, -4) lies in which quadrant ?**

(A) First

(B) Second

(C) Third

(D) Fourth

**Answer**

**Ans – (D) Fourth**

**HBSE Class 10 Math Chapter 4 – Quadratic Equations MCQ Important Question Answer 2024**

**1. Which of the following is a quadratic equation?**

(A) (x+1)=(x-3)^{2}

(B) (x+4)^{3} = 3x(x + 1)

(C) 4x²+5= (2x+7)^{2}

(D) (x-2) (x+1) = (x-1) (x+3)

**Answer**

**Ans – (A) (x+1)=(x-3) ^{2}**

** 2. Which of the following is a quadratic equation?**

(A) (x-1)(x+3) = (x-7) (x+5)

(B) (2x-1)(2x+1) = (x-2)^{2}

(C) (x+4)^{3} = 3x(x + 1)

(D) 4x² + 5 = (2x+7)^{2}

**Answer**

**Ans – (B) (2x-1)(2x + 1) = (x-2) ^{2}**

** 3. If the roots of the quadratic equation 2x²+kx+2=0 are equal, then the value of k is :**

(A) +2

(B) ±5

(C) ±3

(D) ±4

**Answer**

**Ans – (D) ±4**

** 4. Choose the correct option: If the roots of the quadratic equation 3x²+kx+3=0 are equal, then the value of k is:**

(A) ±6

(B) ±3

(C) ±9

(D) None of these

**Answer**

**Ans – (A) ±6**

** 5. The value of k for which the roots of 2x² + kx + 3 = 0 are equal, is:**

(A) 0

(B) ± 24

(C)

(D)

**Answer**

**Ans – (C) **

** 6. Roots of equation 3x² + x – 4 = 0 are :**

(A)

(B)

(C) 3,-4

(D) None of these

**Answer**

**Ans – (B) **

** 7. Discriminant of equation 2x² + x – 6=0 is :**

(A) 49

(B) 7

(C)-12

(D) None of these

**Answer**

**Ans – (A) 49**

**HBSE Class 10 Math Chapter 5 – Arithmetic Progressions MCQ Important Question Answer 2024**

**1. 15th term of A.P. 0, -4, -8, -12, …….. is :**

(A) 56

(B) 60

(C)-56

(D) -60

**Answer**

**Ans – (C)-56**

** 2. The 10th term of the A.P. 3, 7, 11, 15,……… is:**

(A) 43

(B) 38

(C) -37

(D) 39

**Answer**

**Ans – (D) 39**

** 3. If 3rd and 9th term of an A.P. are 4 and -8 respectively, then its 6th term is :**

(A) -6

(B) 14

(C) -8

(D) -2

**Answer**

**Ans – (D) -2**

** 4. If 3rd and 7th term of an A.P. are 5 and 9 respectively, then its 11th term is :**

(A) 13

(B) 14

(C) 15

(D) 16

**Answer**

**Ans – (A) 13**

** 5. Which one is an A. P. series ?**

(A) 2, 4, 8, 12, ……..

(B) 0.2, 0.22, 0.222, …………

(C) -10, -6, -2, 2, ………….

(D) 1, 3, 9, 27, …….

**Answer**

**Ans – (C) -10, -6, -2, 2, ………….**

** 6. In an A. P. 10, 7, 4, …., 30th term is:**

(A) 97

(B) 77

(C) -77

(D) None of these

**Answer**

**Ans – (C) -77**

** 7. 15th term of A. P. is:**

(A)

(B) 6

(C) 5

(D) 19

**Answer**

**Ans – (D) 19**

** 8. If 3rd term of an A. P. is 5 and 7th term is 13, then its common difference is :**

(A) 1

(B) 2

(C) 3

(D) 4

**Answer**

**Ans – (B) 2**

**HBSE Class 10 Math Chapter 6 – Triangles MCQ Important Question Answer 2024**

**1. Sides of some triangles are given below. Which of the two triangles are similar? **

**(i) 6 cm, 8 cm, 12 cm (ii) 5 cm, 7 cm, 9 cm. (iii) 3 cm, 4 cm, 6 cm.**

(A) (i) and (ii)

(B) (i) and (iii)

(C) (ii) and (iii)

(D) None of these

**Answer**

**Ans – (B) (i) and (iii)**

** 2. If ratio of the sides of two similar, triangles is 2 : 3, then the ratio of their areas is :**

(A)

(B) 2:3

(C) 4:9

(D) None of these

**Answer**

**Ans – (C) 4:9**

** 3. If areas of two similar triangles are in the ratio 4 : 9, then ratio of their corresponding sides are:**

(A) 2 : 3

(B) 16 : 81

(C) 3 : 2

(D) 4 : 9

**Answer**

**Ans – (A) 2 : 3**

** 4. If areas of two similar triangles are in the ratio 9 : 16, then ratio of their corresponding sides are:**

(A) 81 : 256

(B) 9 : 16

(C) 3 : 4

(D) √3 : √4

**Answer**

**Ans – (C) 3 : 4**

** 5. If the areas of two similar triangles are 36m² and 121 m² respectively, the ratio of there corresponding sides is:**

(A) 11:6

(B) 6:11

(C) 9:11

(D) None of these

**Answer**

**Ans – (B) 6:11**

** 6. If two sides of a right angle triangle are 4 cm and 5 cm, then the hypotenuse of the triangle is of length:**

(A) cm

(B) 3 cm

(C) 9 cm

(D) None of these

**Answer**

**Ans – (A) cm**

** 7. ΔMNL and ΔQPR are similar triangles. In given figure which similarity criterion is used?**

** **

(A) S. S. S.

(B) A. A. A.

(C) S. A. S.

(D) None of these.

**Answer**

**Ans – (C) S. A. S.**

** 8. In the given figure ΔODC ∼ ΔΟΑΒ, ∠ΒΟC = 100°, ∠ODC = 60°, then ∠OAB is equal to:**

** **

(A) 20°

(B) 80°

(C) 60°

(D) 40°

**Answer**

**Ans – (D) 40°**

** 9. Which one pair of the triangulars is not similar triangles ?**

** **

**Answer**

**Ans – (C)**

**HBSE Class 10 Math Chapter 7 – Coordinate Geometry MCQ Important Question Answer 2024**

**1. The distance between the points (4, 2) and (-1, -1) is :**

(A)

(B)

(C)

(D) 6

**Answer**

**Ans – (B) **

** 2. The distance between the points (-5, 7) and (-1, 3) is:**

(A) 4√2

(B) 3√2

(C) 5√2

(D) √34

**Answer**

**Ans – (A) 4√2**

** 3. The distance of point (5, -7) from origin is :**

(A)

(B) -2

(C) 2

(D) 12

**Answer**

**Ans – (A) **

** 4. The coordinates of the point which divides the line segment joining the points (4, -3) and (8, 5) in the ratio 3: 1 internally are:**

(A) (-3, 5)

(B) (4, -2)

(C) (3, 7)

(D) (7, 3)

**Answer**

**Ans – (D) (7, 3)**

** 5. The co-ordinates of the point which divides the join of (-1, 7) and (4,-3) in the ratio 2 : 3 is:**

(A) (3, 1)

(B) (5, 2)

(C) (2, 5)

(D) (1, 3)

**Answer**

**Ans – (D) (1, 3)**

** 6. Coordinate of mid point of line joining two points (-1, 7) and (4, -3) are :**

(A)

(B)

(C)

(D)

**Answer**

**Ans – (B) **

** 7. The ratio in which the y-axis divides the line-segment joining the points (5, -6) and (-1,-4) is:**

(A) 1:5

(B) 5:1

(C) 3:2

(D) 2:3

**Answer**

**Ans – (B) 5:1**

** 8. The ratio in which the x-axis divides the line-segment joining the points A(1, -5) and B(-4, 5) is:**

(A) 2:1

(B) 1:1

(C) 1:2

(D) 3:2

**Answer**

**Ans – (B) 1:1**

** 9. The point on the x-axis which is equidistant from (2,-5) and (-2, 9) is : Most Important**

(A) (0, -7)

(B) (-7, 0)

(C) (-5, 0)

(D) (0,-5)

**Answer**

**Ans – (B) (-7, 0)**

** 10. The area of triangle whose vertices are (1, -1), (-4, 6) and (-3,-5) is :**

(A)

(B) 8

(C) 24

(D) None of these

**Answer**

**Ans – (C) 24**

**HBSE Class 10 Math Chapter 8 – Introduction to Trigonometry MCQ Important Question Answer 2024**

**1. The value of 9sec ^{2}A – 9tan^{2}A is:**

(A) 1

(B) 8

(C) 9

(D) 0

**Answer**

**Ans – (C) 9**

** 2. The value of 5sec² A-5 tan ^{2}A is:**

(A) 1

(B) 2

(C) 9

(D) 5

**Answer**

**Ans – (D) 5**

** 3. If sin A = , then cos A is :**

(A)

(B)

(C)

(D) None of these

**Answer**

**Ans – (B) **

** 4. is equal to :**

(A) tan 90°

(B) 1

(C) sin 45°

(D) 0

**Answer**

**Ans – (D) 0**

** 5. is equal to :**

(A) sin 60°

(B) cos 60°

(C) tan 60°

(D) sin 30°

**Answer**

**Ans – (C) tan 60°**

** 6. In ΔABC, right-angled at B, AB = 24 cm, BC = 7 cm. The value of sin A is:**

(A)

(B)

(C)

(D) None of these

**Answer**

**Ans – (A) **

** 7. If tan A = then the value of cos A is :**

(A)

(B)

(C)

(D)

**Answer**

**Ans – (D) **

** 8. The value of is:**

(A) cos 60°

(B) tan 60°

(C) sin 60°

(D) tan 30°

**Answer**

**Ans – (A) cos 60°**

**HBSE Class 10 Math Chapter 9 – Some Application of Trigonometry MCQ Important Question Answer 2024**

**1. A tower stands vertically on the ground. From a point on the ground which is 15m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 30° . Then the height of the tower is**

(A) 15√3

(B) 10√3

(C) 5√3

(D) 45√3

**Answer**

**Ans. (C) 5√3**

**2. The ratio of the length of a rod and its shadow is 1:√3. The angle of elevation of the sum is:**

(A) 90°

(B) 30°

(C) 60°

(D) 45°

**Answer**

**Ans. (B) 30°**

**3. The angles of elevation of the top of a tower from two points at a distance of 4m and 9m from the base of the tower and in the same straight line with it are complementary. Then the height of the tower is**

(A) 2m

(B) 4m

(C) 6m

(D) 8.625m

**Answer**

**Ans. (C) 6m**

**4. A boy is traveling from a point towards a tower. He travelled 2 unit distance when angle of elevation changes from 30° to 60°. Now how much more distance he should have to travel to reach exactly at the base of tower.**

(A) √3 unit

(B) 1 unit

(C) 0.5 unit

(D) √2 unit

**Answer**

**Ans. (B) 1 unit**

**5. A boy is traveling from a point towards a tower. He travelled 2 unit distance when angle of elevation changes from 30° to 60°. What is the height of tower?**

(A) √3 unit

(B) 1 unit

(C) 0.5 unit

(D) √2 unit

**Answer**

**Ans. (A) √3 unit**

**6. If the height of a vertical wall is 4m. A ladder is leaned against wall at the angle of depression 15°. Then the length of ladder is**

(A) 4.5√3m

(B) 5m

(C) 3m

(D) 4√3m

**Answer**

**Ans. (B) 5m**

**7. A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8m. Then the height of the tree is**

(A) 8√3m

(B) 16√3m

(C) 8√2m

(D) none of the above

**Answer**

**Ans. (A) 8√3m**

**8. The shadow of a tower standing on a level plane is found to be 40m longer when the sun’s altitude is 45°, than when it is 60°. The height of the tower is**

(A) 30(3 + √3) m

(B) 40(3 + √3) m

(C) 20(3 + √3) m

(D) 10(3 + √3) m

**Answer**

**Ans. (C) 20(3 + √3) m**

**HBSE Class 10 Math Chapter 10 – Circles MCQ Important Question Answer 2024**

**1. If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80°, then ∠POA is equal to : Most Important**

(A) 50°

(B) 60°

(C) 70°

(D) 80°

**Answer**

**Ans – (A) 50°**

** 2. If tangent PA and PB from a point P to a circle with centre O are inclined to each other at an angle 100°, then ∠POA is equal to ……..**

(A) 40°

(B) 80°

(C) 50°

(D) None of these

**Answer**

**Ans – (A) 40°**

** 3. The maximum number of parallel tangents to a circle is:**

(A) 1

(B) 2

(C) 3

(D) 4

**Answer**

**Ans – (B) 2**

** 4. Number of tangents drawn from a point outside the circle are:**

(A) 1

(B) 2

(C) 0

(D) 4

**Answer**

**Ans – (B) 2**

** 5. From a point P, the length of tangent to a circle is 24 cm and distance of P from the centre is 25 cm. The radius of the circle is : Most Important**

(A) 12 cm

(B) 12.5 cm

(C) 1 cm

(D) 7 cm

**Answer**

**Ans – (D) 7 cm**

** 6. A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q, so that OQ 12 cm. Then the length PQ is :**

(A) 12cm

(B) 13 cm

(C) 8.5 cm

(D) √119 cm

**Answer**

**Ans – (D) √119 cm**

**HBSE Class 10 Math Chapter 11 – Areas Related to Circles MCQ Important Question Answer 2024**

**1. Area of sector of the circle of angle θ is:**

(A)

(B)

(C)

(D)

**Answer**

**Ans – (B) **

** 2. Length of an arc of a sector of angle is :**

(A)

(B)

(C)

(D) None of these

**Answer**

**Ans – (A) **

** 3. The ratio of circumference and diameter of a circle is:**

(Α) 2π : 1

(Β) π: 1

(C) 1:1

(D) None of these

**Answer**

**Ans – (Β) π: 1**

** 4. Area of the sector of a circle with radius 6 cm and angle of sector 30° is:**

(A) 7π cm²

(B) 9π cm²

(C) 3π cm²

(D) бπ cm²

**Answer**

**Ans – (C) 3π cm²**

** 5. Area of the sector of a circle with radius 14 cm and angle of sector 60° is:**

(A) 154 cm²

(B) cm²

(C) cm²

(D) 196 cm²^{ }

**Answer**

**Ans – (C) cm²**

** 6. The length of the minute hand of a clock is 14 cm. The area swept by the minute hand in 5 minutes is :**

(A) 162 cm^{2 }

(B) cm^{2}

(C) cm^{2}

(D) None of these

**Answer**

**Ans – (B) cm ^{2}**

** 7. The length of the minute hand of a clock is 7 cm. The area swept by the minute hand in 15 minutes is:**

(A) cm²

(B) cm²

(C) cm²

(D) cm²

**Answer**

**Ans – (A) cm²**

**HBSE Class 10 Math Chapter 12 – Surface Areas and Volumes MCQ Important Question Answer 2024**

**1. Surface area of sphere of radius 2.1 cm is:**

(A) 80.3 cm²

(B) 55.44 cm²

(C) 191.5 cm²

(D) 47.09 cm²

**Answer**

**Ans – (B) 55.44 cm²**

** 2. Surface area of sphere of radius 2.8 cm is:**

(A) 98.98 cm^{2 }

(B) 98.56 cm^{2 }

(C) 97.56 cm^{2}

(D) 98.38 cm^{2}

**Answer**

**Ans – (B) 98.56 cm ^{2}**

** 3. The diameter of the base of right circular cylinder is 2r and its height is h. The curved surface area is:**

(A) πr²h

(B) 2πrh

(C) 2πr (r + h)

(D) None of these

**Answer**

**Ans – (B) 2πrh**

** 4. The volume of the cuboid, whose length, breadth and height are 12 m, 10 m and 8 m respectively is:**

(A) 592 m³

(B) 960 m³

(C) 480 m³

(D) None of these

**Answer**

**Ans – (B) 960 m³**

** 5. The radius of the base of a cone is 7 cm and the height is 6 cm. Its volume is :**

(A) 924 cm³

(B) 308 cm³

(C) 1232 cm³

(D) None of these

**Answer**

**Ans – (B) 308 cm³**

** 6. The radius of the base of a cone is 4 cm and the height is 3 cm. Its CSA is :**

(A) 20π cm²

(В) 12π cm²

(C) 30πcm²

(D) None of these

**Answer**

**Ans – (A) 20π cm²**

**HBSE Class 10 Math Chapter 13 – Statistics MCQ Important Question Answer 2024**

**1. The mean of the following data is :**

Class-interval |
0-2 |
2-4 |
4-6 |
6-8 |
8-10 |
10-12 |
12-14 |

Frequency |
1 |
2 |
1 |
5 |
6 |
2 |
3 |

(A) 10.5

(B) 8.1

(C) 11.5

(D) 9.5

**Answer**

**Ans – (B) 8.1**

**2. The mean of the following data is :**

Class-interval |
0-4 |
4-8 |
8-12 |
12-16 |
16-20 |

Frequency |
5 |
4 |
5 |
2 |
4 |

(A) 9.2

(B) 8.5

(C) 10.2

(D) 7.6

**Answer**

**Ans – (A) 9.2**

**HBSE Class 10 Math Chapter 14 – Probability MCQ Important Question Answer 2024 MCQ Important Question Answer 2024**

**1. Which of the following can not be the probability of an event?**

(A)

(B) 15%

(C) 0.7

(D) -1.5

**Answer**

**Ans – (D) -1.5**

** 2. Which of the following cannot be the probability of an event?**

(A)

(B) -1.3

(C) 17%

(D) 0.5

**Answer**

**Ans – (B) -1.3**

** 3. Probability of getting 8 in a single throw of a die is:**

(A) 1

(B) 0

(C)

(D)

**Answer**

**Ans – (B) 0**

** 4. If P(E) 0.05, then the P (not E) is:**

(A) 0.05

(B) 0.5

(C) 0.95

(D) None of these

**Answer**

**Ans – (C) 0.95**

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