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10th maths DPS 1,2,3,4,5,6,7,8,9

Total questions: 20

Worksheet time: 25mins

Name
Class
Date
1.

HCF(196, 38220) is ....

a)

195

b)

196

c)

38220

d)

1

2.

Three sets of English, mathematics and science books containing 336, 240 and 96 books respectively have to be stacked in such a way that all books are stored subject wise and height of each stack is the same. How many stackes will be there ?

a)

12

b)

13

c)

14

d)

10

3.

Zeros of polynomial x2 +x - p(p+1) is ....

a)

- (p+1) and p

b)

p and \frac{1}{p}

c)

- p and - \frac{1}{p}

d)

p and 2p

4.

On dividing a polynomial p(x) by a non zero polynomial q(x), let g(x) be quotient and r(x) be the remainder then p(x) = q(x) ⋅ g(x) + r(x), where

a)

r(x) = 0 always

b)

deg r(x) < deg g(x) always

c)

either r(x) = 0 or deg r(x) < deg g(x)

d)

r(x) = g(x)

5.

If twice the son's age in years is added to father's age , the sum is 70. But , if twice the father's age is added to the son's age, the sum is 95. Find the age of father.

a)

40 years

b)

50 years

c)

45 years

d)

55 years

6.

If

 1x+2y =4 and 3y−1x= 11 \frac{1}{x}+\frac{2}{y\ }=4\ and\ \frac{3}{y}-\frac{1}{x}=\ 11\   then

a)

x = 2 , y = 3

b)

x = -2 , y = 3

c)

x =  −12-\frac{1}{2}   , y = 3

d)

 x = −12, y = 13x\ =\ -\frac{1}{2},\ y\ =\ \frac{1}{3}  

7.

Roots of 8x2 - 22x - 21 are

a)

72and −34\frac{7}{2}and\ -\frac{3}{4}

b)

27 and −43\frac{2}{7\ }and\ -\frac{4}{3}

c)

−17 and 34-\frac{1}{7}\ and\ \frac{3}{4}

d)

3 and 22

8.

value of k ..?, for which x = 1 is root of the equation x2 + kx + 3 = 0

a)

-4

b)

-3

c)

1

d)

0

9.

The 19th term of an AP is equal to 3 times its 6th term. If its 9th term is 19, then d = ?

a)

2

b)

4

c)

6

d)

8

10.

Find the value of x for which (x+2), 2x , (2x+3) are three consecutive terms of an AP

a)

3

b)

1

c)

2

d)

4

11.

In given figure,

 ∠ABC = 90°\angle ABC\ =\ 90\degree  and BD  ⊥\perp  AC. If BD = 8 cm, AD = 4 cm, find CD. 

a)

16 cm

b)

12 cm

c)

14 cm

d)

10 cm

12.

The area of two similar triangles are 121 cm2 and 64 cm2 respectively. If the median of first triangle is 12.1 cm, find the corresponding median of the other.

a)

8.8. cm

b)

8 cm

c)

7.2 cm

d)

9 cm

13.

 In trapezium ABCD, O is the midpoint intersection of AC and BD. AB  \parallel CD and AB = 2  ×\times  CD. If the area of  Δ AOB = 84 cm2\Delta\ AOB\ =\ 84\ cm^2  , find the area of  \Delta\ COD  .

a)

 21 cm221\ cm^2  

b)

 42 cm242\ cm^2  

c)

 14 cm214\ cm^2  

d)

 24 cm224\ cm^2  

14.

A man goes 15 m due west and then 8 m due north. How far is he from starting point ?

a)

17 m

b)

16 m

c)

15 m

d)

13 m

15.

in rhombus of side 10 cm, one of the diagonals is 12 cm long. Find the length of the second diagonal

a)

16 cm

b)

12 cm

c)

20 cm

d)

24 cm

16.

In given figure, O is a point inside a

 Δ MNP\Delta\ MNP  such that  ∠MOP = 90°, \angle MOP\ =\ 90\degree,\   OM = 16 cm and OP = 12 cm. If MN = 21 cm and  ∠NMP = 90°\angle NMP\ =\ 90\degree  , then NP = ?

a)

25 cm

b)

29 cm

c)

33 cm

d)

35 cm

17.

The point C(k,4) divides the join of points A(2,6) and B(5,1) in the ratio 2:3 then value of k is

a)

16

b)

285\frac{28}{5}

c)

165\frac{16}{5}

d)

85\frac{8}{5}

18.

If A(1,3), B(-1,2) , C(2,5) and D(x,4) are vertices of parallelogram ABCD then value of x is

a)

3

b)

4

c)

0

d)

32\frac{3}{2}

19.

The point which divides the line segment joining points A(2,-5) and B(5,2) in the ratio 2:3 lies in the quadrant

a)

I

b)

II

c)

III

d)

IV

20.

ABCD is a rectangle whose three vertices are B(4,0), C(4,3) and D(0,3). The length of one of its diagonal is

a)

5

b)

4

c)

3

d)

25