**CBSE Class 10 Maths (Basic) Paper Answer Key 2023: **The CBSE Class 10 Maths Exam was held on March 21, 2023, for both Maths (Standard) and Maths (Basic) papers. The exam was conducted from 10:30 AM to 1:30 PM. This was an important exam for class 10 students and also the last one in CBSE Class 10 Board Exam 2023. After the exam, most students have a tendency to find answers or solutions for the paper. Though the Central Board of Secondary Education (CBSE) will release the answer key later on, students can check the unofficial answer key here at Jagran Josh. Our in-house experts have created answers after discussing questions asked in the CBSE Class 10 Maths Question Paper 2023. You can also check the CBSE Class 10 Maths paper analysis and download the CBSE Class 10 Question Paper 2023 in PDF below:

**Related| ****CBSE Class 1****0**** ****Maths**** Paper Analysis 2023**

**Related| ****CBSE Class 1****0**** ****Maths**** Question Paper 2023**** PDF**

**CBSE Class 1****0**** ****Maths**** (Basic) Paper Answer Key 2023**

1.Let E be an event such that P(not E)=1/5 then P(E) is equal to:

(a) ⅕

(b) ⅖

(c) 0

(d) ⅘

**Answer: (d) ⅘**

2. If p (x)=x²+5x+6, then p (-2) is:

(a) 20

(b) 0

(c) -8

(d) 8

**Answer: (b) 0 **

3. The mode of the numbers 2, 3, 3, 4, 5, 4, 4, 5, 3, 4, 2, 6, 7 is:

(a) 2

(b) 3

(c) 4

(d) 5

**Answer: (b) 3 **

4.How many tangents can be drawn to a circle from a point on it?

(a) One

(b) Two

(c) Infinite

(d) Zero

**Answer: (c) Infinite **

5.A quadratic equation whose one root is 2 and the sum of whose roots is zero, is:

(a) x^{2}+4=0

(b) x²-2=0

(c) 4x^{2}-1=0

(d) x²-4=0

**Answer: (b) x²-2=0 **

6.Which of the following is not a quadratic equation?

(a) 2(x-1)2=4x2-2x+1

(b) 2x-x²=x²+5

(c) (√2x+√3)²+x²=3x²-5x

(d) (x²+2x)²=x2+3+4x³

**Answer: (d) (x²+2x)²=x2+3+4x³**

7.A quadratic polynomial whose sum and product of zeroes are 2 and -1 respectively is:

(a) x²+2x+1

(b) x²-2x-1

(c) x²+2x-1

(d) x²-2x+1

**Answer: (d) x²-2x+1**

8.(HCF×LCM) for the numbers 30 and 70 is:

(a) 2100

(b) 21

(c) 210

(d) 70

**Answer: (a) 2100**

9.The length of the arc of a circle of radius 14 cm which subtends an angle of 60° at the centre of the circle is :

(a) 44/3 cm

(b) 88/3 cm

(c) 308/3 cm

(d) 616/3 cm

**Answer: (a) 44/3 cm**

10.If the radius of a semi-circular protractor is 7cm, then its perimeter is:

(a) 11 cm

(b) 14 cm

(c) 22 cm

(d) 36 cm

**Answer: (c) 22 cm**

11.The angle of elevation of the top of a 15 m high tower at a point 15 sqrt(3) m away from the base of the tower is:

(a) 30°

(b) 45°

(c) 60°

(d) 90°

**Answer: (a) 30°**

12.(2/3 sin0^{o}- 4/5 * cos0^{o}) is equal to:

(a) 2/3

(b) - 4/5

(c) 0

(a) - 2/15

**Answer: (b) - 4/5**

13.From a well-shuffled deck of 52 cards, a card is drawn at random. What is the probability of getting king of hearts ?

(a) 1/52

(b) 1/26

(c) 1/13

(d) 12/13

**Answer: (a) 1/52**

14.The number (53√5+√5) is:

(a) an integer

(b) a rational number

(c) an irrational number

(d), a whole number

**Answer: (b) a rational number**

15.If the pair of linear equations x-y= 1, x+ky= 5 has a unique solution x=2, y = 1, then the value of k is:

(a) - 2

(b) - 3

(c) 3

(d) 4

**Answer: (c) 3**

16.If ΔABC∼ΔDEF and ∠A = 47°, ∠E=83°, then, ∠C is equal:.

(a) 47°

(b) 50°

(c) 83°

(d) 130°

**Answer: (b) 50°**

17.The length of the tangent from an external point A to a circle, of radius 3 cm, is 4 cm. The distance of A from the centre of the circle is :

(a) 7 cm

(b) 5 cm

(c) √7 cm

(d) 25 cm

**Answer: (b) 5 cm**

18.The pair of linear equations x + 2y +5=0 and -3x-6y+1=0 has:

(a) a unique solution

(c) infinitely many solutions

(b) exactly two solutions

(d) no solution

**Answer: (d) no solution**

(Assertion - Reason type questions)

In question numbers 19 and 20, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:

(a) Both Assertion (A) and Reason (R) are true and Reason (R) gives the correct explanation of Assertion (A).

(b) Both Assertion (A) and Reason (R) are true but Reason (R) does not give the correct explanation of Assertion (A).

(c) Assertion (A) is true but Reason (R) is false.

(d) Assertion (A) is false but Reason (R) is true.

19. Assertion (A): If one root of the quadratic equation 4x2 - 10x+ (k-4)=0 is reciprocal of the other, then value of k is 8.

Reason (R): Roots of the quadratic equation x2-x+1=0 are real.

**Answer: (d)**

20.Assertion (A): A tangent to a circle is perpendicular to the radius through the point of contact.

Reason (R): The lengths of tangents drawn from an external point to a circle are equal.

**Answer: (b)**

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