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Mathematics Basic - 430/5/3 2025-2026 English Medium Class 10 Question Paper Solution

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Mathematics [Basic - 430/5/3]
Marks: 80 CBSE
English Medium

Academic Year: 2025-2026
Date & Time: 17th February 2026, 10:30 am
Duration: 3h
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General Instructions:

Read the following instructions very carefully and follow them strictly:

  1. This Question Paper contains 38 questions. All questions are compulsory.
  2. This Question Paper is divided into five Sections - A, B, C, D and E.
  3. In Section-A, Question numbers 1 to 18 are Multiple Choice Questions (MCQs) and Question numbers 19 and 20 are Assertion-Reason based questions of 1 mark each.
  4. In Section-B, Question numbers 21 to 25 are Very Short Answer (VSA) type questions carrying 2 marks each.
  5. In Section-C, Question numbers 26 to 31 are Short Answer (SA) type questions carrying 3 marks each.
  6. In Section-D, Question numbers 32 to 35 are Long Answer (LA) type questions carrying 5 marks each.
  7. In Section-E, Question numbers 36 to 38 are case study based questions carrying 4 marks each. Internal choice is provided in 2 marks questions in each case-study.
  8. There is no overall choice. However, an internal choice has been provided in 2 questions in Section-B, 2 questions in Section-C, 2 questions in Section-D and 3 questions in Section-E.
  9. Draw neat diagrams wherever required. Take `π = 22/7` wherever required, if not stated.
  10. Use of calculator is Not allowed.

Section - А (20 Marks) (Multiple Choice Questions)
Q. Nos. 1 to 20 are Multiple Choice Questions of 1 mark each.
[1]1.

The graph of a polynomial p(x) is shown here. The number of zeroes of the polynomial p(x) is

5

1

0

4

Concept: undefined - undefined
Chapter:
[1]2.

Three coins are tossed together. The probability of getting exactly two tails is ______.

`2/8`

`1/2`

`3/8`

1

Concept: undefined - undefined
Chapter:
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[1]3.

A bag contains some red and some white balls. A ball is drawn at random from the bag. If the probability of getting a red ball is `2/7`, then the probability of getting a white ball is ______.

`1/14`

`5/7`

`1/7`

`2/7`

Concept: undefined - undefined
Chapter:
[1]4.

The total surface area of a solid cone of radius 7 cm and slant height 25 cm, is ______.

724 cm2

704 cm2

550 cm2

616 cm2

Concept: undefined - undefined
Chapter:
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[1]5.

The length of a pendulum is 70 cm and it describes an arc of length 88 cm when swings. The angle subtended by the arc at the centre is ______.

36°

70°

72°

80°

Concept: undefined - undefined
Chapter:
[1]6.

The distance between the points (–2, 5) and (5, –2) is ______.

`7sqrt(2)`

14

`2sqrt(7)`

7

Concept: undefined - undefined
Chapter:
[1]7.

17 × 11 × 13 + 11 is ______.

a prime number.

multiple of 17.

a composite number.

an odd number.

Concept: undefined - undefined
Chapter:
[1]8.

PQ is tangent to a circle at a point P on the circle. The number of tangents which can be drawn to the circle parallel to PQ, is ______.

2

1

many

zero

Concept: undefined - undefined
Chapter:

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