CBSE Class 10 Mathematics Standard Section A Quiz 1:Q 1- 10 are multiple choice questions.

CBSE Class 10 Mathematics Basic Section A Quiz 1

#### Select the most appropriate answer from the given options.

1. The LCM of smallest two digit composite number and smallest composite number is

(a) 12

(b) 4

(c) 20

(d) 44

2. If α, β are the roots of the quadratic equation x* ^{2}* + x + 1 = 0, then (1/α) + (1/β)

(a) 0

(b) 1

(c) –1

(d) none of these

3. If the distance between the points (8, p) and (4, 3) is 5 then value of p is

(a) 6

(b) 0

(c) both (a) and (b)

(d) none of these

4. A pole 6 m high casts a shadow 2√3 m long on the ground, then the Sun’s elevation is

(a) 60°

(b) 45°

(c) 30°

(d) 90°

5. In the fig., PQ = 24 cm, QR = 26 cm, ∠ PAR = 90°, PA = 6 cm and AR = 8 cm. Find ∠ QPR.

(a)45°

(b)60°

(c)90°

(d)30°

6.** **If sin θ – cos θ= 0, then the value of (sin 2θ+ cos 2θ) is

(a) 1

(b) 3/4

(c)1/2

(d)1/4

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

(a) *x-(*3/*x*)
= 4

(b) 3*x-(*5/*x)*
=*x*^{2}

(c) *x+ (*1/*x)*
=3* *

(d) *x ^{2}* -3 =4

*x*-4

^{2}*x*

8. In the below figure the circle touches all the sides of a quadrilateral ABCD whose three sides are AB = 6 cm, BC = 7 cm, CD = 4 cm. Find AD.

(a) 4 cm

(b) 3 cm

(c) 6 cm

(d) 9 cm

9. The distance between the points A(0, 6) and B(0, -2) is:

(a) 2

(b) 6

(c) 4

(d) 8

10. In a continuous frequency distribution, the median of the data is 24. If each item is increased by 2, then the new median will be

(a) 24

(b) 26

(c) 12

(d) 48

**(11 – 15) Fill in the blanks:**

**11.** A quadratic polynomial whose
zeroes are –3 and 4 is _____________

**12. **The areas of two similar
triangles are in the ratio 4 : 9. The corresponding sides of these triangles
are in the ratio _____________

**13. **The curved surface area of a cylinder is 264 m^2 and its volume is 924 m^3 then the ratio of its height to its diameter is _______

**14.** A letter of English alphabets
is chosen at random. The probability that it is a letter of the word ‘MATHEMATICS’
is_______

**15.** If the origin is the mid-point of the line segment joined by the points (2,3) and (x,y), then the value of (x,y) is _______

**(16 – 20) Answer the following:**

**16.** Find a rational number between irrational numbers **√3 and √11.**

**17.** For what value of k, the
system of equations 2x – ky + 3 = 0, 4x + 6y – 5 = 0 is consistent?

**18.** In ΔABC, D and E are points on sides AB and AC respectively such that DE||BC and AD:DB= 3 : 1. If EA = 6.6 cm then find AC.

**19.** If the numbers *n *– 2, 4*n *– 1 and 5*n *+ 2 are in AP, find the value of *n.*

**20. **Find the perimeter of the circle, if the area of a circle is 154 cm* ^{2}*.

CBSE Class 10 Mathematics Standard Section A Quiz 1 : **Solution will be discussed on** Easy Math youtube Channel