CBSE Class 10 Maths Assertion & Reasoning Questions: Assertion and Reasoning questions are important as they form a key part of competency-based questions in the CBSE Class 10 Maths exam. These questions test not only concept clarity but also analytical and logical reasoning skills. In this type of question, you will be given two statements:
- Assertion - It is the statement of fact
- Reason - It is the explanation for the given assertion
There will be four options for the possible outcomes based on the given two statements and you will have to select the correct one.
The following set of Assertion and Reasoning Questions for Class 10 Maths (2025–26 session) has been carefully curated by subject experts to help students practice and revise effectively. Designed as per the latest CBSE exam pattern, they are highly useful for both the Half-Yearly Exam 2025 and the final Board Exam 2026.
Key Features:
- Focus on competency-based practice for CBSE Class 10 Maths.
- Prepared by subject experts as per the latest 2025–26 CBSE syllabus.
- Best for revision before the Half-Yearly Exam 2025.
- Covers concepts important for the CBSE Class 10 Maths Board Exam 2026.
- Assertion & Reasoning format questions with detailed answers for self-assessment.
CBSE Class 10 Maths Assertion Reason Questions with Answers
Below is given the set of most important Assertion and Reasoning Questions with answers for CBSE Class 10 Maths Exam 2025-26 preparation:
1.Assertion: The H.C.F. of two numbers is 16 and their product is 3072. Then their L.C.M. = 162.
Reason: If a and b are two positive integers, then H.C.F. × L.C.M. = a × b.
Answer: (d)
2.Assertion: For any two positive integers p and q, HCF (p, q) × LCM (p, q) = p × q
Reason: If the HCF of two numbers is 5 and their product is 150, then their LCM is 40.
Answer: (c)
Must Read: CBSE Class 10 Maths Important Formulas for Quick Revision Before Exam
3.Assertion: x2 + 4x + 5 has two real zeroes.
Reason: A quadratic polynomial can have at the most two zeroes.
Answer: (d)
4.Assertion (A): For all real values of c, the pair of equation x-2y=8 and 5x-10y=c have a unique solution.
Reason (R): Two lines are given to be parallel. The equation of one of the lines is 4x+3y=14, 12x+9y=5
Answer: Option (d)
5.Assertion: 3x2 – 6x + 3 = 0 has repeated roots.
Reason: The quadratic equation ax2 + bx + c = 0 have repeated roots if discriminant D>0.
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Answer: (c)
6.Assertion : If Sn is the sum of the first n terms of an A.P., then its nth term an is given by an=Sn–Sn–1.
Reason : The 10th term of the A.P. 5, 8, 11, 14, ................... is 35.
Answer: (c)
7.Assertion: the value of n, if a = 10, d = 5, an = 95.
Reason: the formula of general term an is an= a+(n-1)d.
Answer: (a)
8.Assertion: The 11th term of an AP is 7,9,11,13_________is 67
Reason: if Sn is the sum of first n terms of an AP then its nth term an is given by an=Sn+Sn–1
Answer: (d)
9.Assertion: A line drawn parallel to any one side of a triangle intersects the other two sides proportionally.
Reason: Parallel lines cannot be drawn to any one side of a triangle.
Answer: (c)
10.Assertion: If two angles of any triangle are equal to the corresponding two angles of another triangle then the third angles are not necessarily equal.
Reason: The sum of three angles of any triangle is equal to 180°.
Answer: (d)
11.Assertion: Ratio in which the line 3x + 4y = 7 divides the line segment joining the points (1, 2) and (- 2, 1) is 3 : 5
Reason: The coordinates of the point P(x, y) which divides the line segment joining the points A(x1, y1 ) and B(x2, y2) in the ratio m1 : m2 is
Answer: (d)
12.Assertion: sinA is the product of sin & A.
Reason: The value of sinθ increases as θ increases.
Answer: (d)
13.Assertion: In a right ΔABC, right angled at B, if tanA=1, then 2sinA.cosA=1
Reason: cosecA is the abbreviation used for cosecant of angle A.
Answer: (b)
14.Assertion (A): If in a circle, the radius of the circle is 3 cm and distance of a point from the centre of a circle is 5 cm, then length of the tangent will be 4 cm.
Reason (R): (hypotenuse)2 = (base)2 + (height)2
Answer: (b)
15.Assertion (A): PA and PB are two tangents to a circle with centre O. Such that ∠AOB = 1100, then ∠APB = 900.
Reason (R): The length of two tangents drawn from an external point are equal.
Answer: (d)
16.Assertion (A): If a chord AB subtends an angle of 600 at the centre of a circle, then the angle between the tangents at A and B is also 600.
Reason (R): The length of the tangent from an external points P on a circle with centre O is always less than OP.
Answer: (d)
17.Assertion: If the outer and inner diameter of a circular path is 10 m and 6 m then area of the path is 16πm2.
Reason: If R and r be the radius of outer and inner circular path, then area of path is π(R2 − r2).
Answer: (a)
18.Assertion: The area of circular playground is 22176 m2 the cost of fencing this ground at the rate Rs. 50 per metre is Rs. 26400
Reason: If R and r be the radius of outer and inner circular path ,then the area of the ring will be (R2–r2).
Answer: (b)
19.Assertion: a cylinder and right circular cone are having the same base and same height the volume of cylinder is three times the volume of cone.
Reason: if the radius of cylinder is doubled and height is halved the volume will be doubled.
Answer: (b)
20.Assertion: the perpendicular distance between two bases is the height of cylinder
Reason: the line segment joining the centre of two bases is the axis of cylinder.
Answer: (b)
Check out more such important articles for quick revision for the upcoming CBSE Class 10 Maths Board Exam 2023:
Practicing Assertion and Reasoning questions regularly will strengthen your problem-solving skills and boost confidence for exams. These expert-curated questions are perfect for quick revision before the Half-Yearly Exam 2025 and for thorough preparation of the CBSE Class 10 Maths Board Exam 2026.
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