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CLASS : X :: TERM - 1 BOARD EXAMINATION - 2021

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

The HCF of 20,50 and 80 is -

a)

10

b)

20

c)

30

d)

40

2.

 The number (23 ) (2+3)  will be  The\ number\ \left(\sqrt{2}-\sqrt{3}\ \right)\ \left(\sqrt{2}+\sqrt{3}\right)\ \ will\ be\ \ -  

a)

Rational

b)

Irrational 

c)

Whole number 

d)

None of these

3.

The lines represented by the equations: 9x + 3y + 12 = 0 and 18x + 6y + 24 = 0 will -

a)

intersect at a point

b)

be parallel

c)

be coincident

d)

None of these

4.

 A quadratic polynomial, whose zeroes are 3 and  4, is A\ quadratic\ polynomial,\ whose\ zeroes\ are\ -3\ and\ \ 4,\ is\ -  

a)

 x2  x + 12x^2\ -\ x\ +\ 12  

b)

 x2 +  x + 12x^2\ +\ \ x\ +\ 12  

c)

 x2  x  12x^2\ -\ x\ -\ 12  

d)

 x2 + x + 7x^2\ +\ x\ +\ 7  

5.

 ΔABC\Delta ABC  is an isosceles triangle in which  C=90°\angle C=90\degree  . If AC =6 cm, AB= 

a)

6 2\sqrt{2}  cm

b)

6 cm

c)

2 6\sqrt{6}  cm 

d)

4 2\sqrt{2}  cm

6.

 ΔABC\Delta ABC   \sim   Δ PQR\Delta\ PQR  , such that ar( Δ\Delta  ABC)=4 ar( ΔPQR\Delta PQR  ).If BC= 12 cm, then QR=

a)

9 CM

b)

10 cm

c)

6 cm

d)

8 cm

7.

If α, β and γ are the zeros of the cubic polynomial ax3+bx2+cx+d then αβγ is equal to

a)

-b/a

b)

-d/a

c)

-a/b

d)

-a/d

8.

Sum of the zeros of the polynomial x2+7x+10 are

a)

7

b)

-7

c)

10

d)

-10

9.

Q 5. If  α and β\alpha\ and\ \beta  are the zeroes of the polynomial  2x2+5x+12x^2+5x+1  , then the value of  α+β+αβ\alpha+\beta+\alpha\beta  is :

a)

-2

b)

-1

c)

1

d)

3

10.

 1cos 30°=\frac{1}{\cos\ 30\degree}=  

a)

 sec 30°\sec\ 30\degree  

b)

 32\frac{\sqrt{3}}{2}  

c)

 23\frac{2}{\sqrt{3}}  

d)

both option 1 & 3

11.

Distance between the points(2,3) and (4,1) is _______

a)

2

b)

5

c)


222\sqrt{2}

d)

0

12.

Given tan A =4/3, value of cos A is_____

a)

3/4

b)

4/3

c)

3/5

d)

5/3

13.

The probability that a non-leap year has 53 Sunday’s, is

a)

1/7

b)

2/7

c)

3/7

d)

4/7

14.

The probability of getting a number greater than 2 in throwing a die is -

a)

2/3

b)

1/3

c)

4/3

d)

1/4

15.

One card is drawn from a well shuffled deck of 52 cards. The probability that it is black queen is -

a)

1/26

b)

1/13

c)

1/52

d)

2/13

16.

If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is -

a)

10

b)

- 10

c)

5

d)

- 5

17.

A letter of English alphabet is chosen at random. The probability that the chosen letter is a consonant

is -

a)

7/26

b)

5/26

c)

11/26

d)

21/26

18.

A bag contains 3 red and 7 black balls. A ball is taken out of the bag at random. What is the probability of getting a black ball?

a)

3/10

b)

7/10

c)

1/10

d)

2/10

19.

 If sinθ = cosθ,  0° <A < 90°, then θ is equal to If\ \sin\theta\ =\ \cos\theta,\ ^{\ }0\degree\ <A\ <\ 90\degree,\ then\ \theta\ is\ equal\ to\ -  

a)

 30°30\degree  

b)

 45°45\degree  

c)

 60°60\degree  

d)

 90°90\degree  

20.

 If  the  area  of  the  circle  is   145  cm2,  then  its  perimeter  is   If\ \ the\ \ area\ \ of\ \ the\ \ circle\ \ is\ \ \ 145\ \ cm^2,\ \ then\ \ its\ \ perimeter\ \ is\ \ -\   

a)

11 cm

b)

22 cm

c)

44 cm

d)

66 cm