Class | 10 |
Board | Haryana board |
Subject | Math |
Category | Important MCQ |
HBSE Class 10 Math MCQ Important Question Answer 2025 PDF
HBSE Class 10 Math Chapter 1 – Real Numbers MCQ Important Question Answer 2025
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 2025
1. The Zeroes of Polynomial 4x2 – 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 6x2 – 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) 4x2 + x + 1
(B) 4x2 – x – 1
(C) 4x2 – x + 1
(D) 4x2 + x – 1
Answer
Ans – (A) 4x2 + 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 2x2 – 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 2025
1. If in equations a1x + b1y + c₁ = 0 and a₂x+b₂y+c2=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 a1x + b1y + c₁ = 0 and a2x + b2y + c2 = 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 2025
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 2025
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 2025
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 2025
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 2025
1. The value of 9sec2A – 9tan2A is:
(A) 1
(B) 8
(C) 9
(D) 0
Answer
Ans – (C) 9
2. The value of 5sec² A-5 tan2A 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 2025
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 2025
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 2025
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 cm2
(B) cm2
(C) cm2
(D) None of these
Answer
Ans – (B) cm2
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 2025
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 cm2
(B) 98.56 cm2
(C) 97.56 cm2
(D) 98.38 cm2
Answer
Ans – (B) 98.56 cm2
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 2025
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 2025 MCQ Important Question Answer 2025
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
Also Read | Class 10 Math NCERT Solution |
Also Read | Class 10 Important Questions [Latest] |