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PIRATES OF CODING DECODING (CLASS X)

Total questions: 25

Worksheet time: 34mins

Name
Class
Date
1.

Given that

LCM (91, 26) = 182,

then HCF (91, 26) is

a)

13

b)

14

c)

15

d)

16

2.

 Factorise x36x2+11x6Factorise\ x^3-6x^2+11x-6  

a)

(x-2) (x-5) (x-1)

b)

(x-1) (x-2) (x-3)

c)

(x-1) (x-6) (x-3)

d)

(x-1) (x-7) (x-3)

3.

In the fig. PQ//SR ,then

find x and y

a)

x=40°, y=30°x=40\degree,\ y=30\degree

b)

x=37° , y=53°x=37\degree\ ,\ y=53\degree

c)

x=37° , y=50°x=37\degree\ ,\ y=50\degree

d)

x=30° , y=53°x=30\degree\ ,\ y=53\degree

4.

If the radius of a cylinder is doubled and the height remains the same , then the volume will be .......

a)

halved

b)

same

c)

doubled

d)

four times

5.

The median of the observations

11, 12 ,14 ,18 , x+2 ,x+4 ,30 ,32 ,35 ,41

arranged in ascending order is 24.

Find x.

a)

18

b)

14

c)

21

d)

41

6.

If a solid sphere of radius 4cm is melted and recast into n solid hemispheres of radius 2cm each , then n=___

a)

16

b)

15

c)

18

d)

14

7.

MODE of the data

15,14,19,20,14,15,16,14,15,18,14,19,15,17,15

a)

17

b)

14

c)

15

d)

19

8.

Degree of a zero polynomial is

a)

0

b)

1

c)

any natural number

d)

not defined

9.

The points O(0,0), A(7,0) , B(7,4) , C(0,4) form a

a)

Square

b)

Rectangle

c)

Rhombus

d)

Kite

10.

The price of a TV is Rs. 13,000. The sale tax charged on it is at the rate of 12 %. Find the amount that Vinod will have to pay if he buys it.

a)

Rs. 14,560

b)

Rs. 14,500

c)

Rs. 14,580

d)

Rs.14,600

11.

Quadratic polynomial , whose zeroes are - 4 and 3 is given by

a)

k(x2x+12)k\left(x^2-x+12\right)

b)

k(x2x12)k\left(x^2-x-12\right)

c)

k(x2+x12)k\left(x^2+x-12\right)

d)

k(x2+x+12)k\left(x^2+x+12\right)

12.

Solve for x and y :

ax + by = a - b

bx - ay = a + b

a)

x = 1 , y = 1

b)

x = 1 , y = -1

c)

x = 0 , y = 1

d)

x = 1 , y = 0

13.

Find the number of zeroes of p(x)

a)

1

b)

2

c)

3

d)

4

14.

Find the greatest number that will divide 445 , 572 and 699 leaving the remainder 4 , 5 and 6 respectively.

a)

61

b)

63

c)

62

d)

65

15.

 Ifsin5θ=cos4θ,then 2sin3θ3tan3θIf\sin5\theta=\cos4\theta,then\ 2\sin3\theta-\sqrt{3}\tan3\theta  

a)

1

b)

0

c)

2

d)

-1

16.

 tan7°tan23°tan60°tan67°tan83°=?\tan7\degree\tan23\degree\tan60\degree\tan67\degree\tan83\degree=?  

a)

 3\sqrt{3}  

b)

 32\frac{\sqrt{3}}{2}  

c)

 22  

d)

 11  

17.

Find a pythagorean triplet in which one member is 12

a)

12 , 35 , 39

b)

13 , 35 12

c)

12 , 32 , 34

d)

12 , 35 , 37

18.

Find the least number that must be subtracted from 5607 so as to get a perfect square.

a)

132

b)

131

c)

135

d)

139

19.

 Factorise x2+6x+8Factorise\ x^2+6x+8  

a)

 (x+2)(x+3)\left(x+2\right)\left(x+3\right)  

b)

 (x+2)(x+4)\left(x+2\right)\left(x+4\right)  

c)

 (x+1)(x+2)\left(x+1\right)\left(x+2\right)  

d)

 (x+1)(x+4)\left(x+1\right)\left(x+4\right)  

20.

 Find A and B in A+A+A=BAFind\ A\ and\ B\ in\ A+A+A=BA  

a)

 A = 5, B =1A\ =\ 5,\ B\ =1  

b)

 A = 1 , B= 5A\ =\ 1\ ,\ B=\ 5  

c)

 A=1 , B= 0 A=1\ ,\ B=\ 0\   

d)

 A=1 , B=2A=1\ ,\ B=2  

21.

If the three digit number 24x is divisible by 9, What is the value of x?

a)

x = 2

b)

x = 3

c)

x = 4

d)

x = 1

22.

Find the height of a cylinder whose radius is 7 cm and the total surface area is 968 sq. cm.

a)

14 cm

b)

19 cm

c)

15 cm

d)

13 cm

23.

Find the missing number

4 , 7 , 11 , 18 , 29 , 47 , --- , 123 , 199

a)

70

b)

76

c)

84

d)

95

24.

A father is 3 times as old as his son. After 12 years , his age will be twice as that of his son then. Find their present ages.

a)

Father's age = 36 years , Son's age =12 years

b)

Father's age = 35 years , son's age = 12 years

c)

Father's age = 37 years , son's age = 13 years

d)

Father's age = 34 years , son's age = 12 years

25.

 4×(256)14÷(243)154\times\left(256\right)^{-\frac{1}{4}}\div\left(243\right)^{\frac{1}{5}}  

a)

 13\frac{1}{3}  

b)

 14\frac{1}{4}  

c)

 15\frac{1}{5}  

d)

 16\frac{1}{6}