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10 (M) 1,2,3,4,5,6,14,15 LIVE - 2

Total questions: 20

Worksheet time: 31mins

Name
Class
Date
1.

An army contingent of 1000 members is to march behind an army band of 56 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?

a)

7

b)

8

c)

9

d)

10

2.

The LCM of 2 numbers is 14 times their HCF. The sum of LCM and HCF IS 600. If one number is 280, then find the other number.

a)

80

b)

60

c)

28

d)

100

3.

Third zero of polynomial  2x3  4x  x2 + 22x^3\ -\ 4x\ -\ x^2\ +\ 2   is ______, if two of its zeros are

 2 and 2\sqrt{2}\ and\ -\sqrt{2}  

a)

 12\frac{1}{2}  

b)

 23\frac{2}{3}  

c)

 32\frac{3}{2}  

d)

 12\frac{1}{\sqrt{2}}  

4.

Zeros of quadratic polynomial  \sqrt{3}x^2\ -\ 8x\ +\ 4\sqrt{3} are _____ 

a)

 23 and 232\sqrt{3}\ and\ \frac{2}{\sqrt{3}}  

b)

  23 and  23-\ 2\sqrt{3}\ and\ -\ \frac{2}{\sqrt{3}}  

c)

 32 and 323\sqrt{2}\ and\ \frac{3}{\sqrt{2}}  

d)

  32 and 32-\ 3\sqrt{2}\ and\ -\frac{3}{\sqrt{2}}  

5.

If 1 is zero of polynomial p(x) = ax2  3(a1)1ax^2\ -\ 3\left(a-1\right)-1  , then value of a = _____


a)

1

b)

2

c)

3

d)

-1

6.

if polynomial  x^4\ +\ 2x^3\ +8x^2+12x\ +\ 18  is divided by another polynomial  x2+5x^2+5  , the remainder comes out to be px+q., then values of p and q =_______

a)

p = 2, q = 3

b)

p = 3, q = 2

c)

p = 4, q = 2

d)

p = 1, q = 2

7.

If the zeros of polynomial  x^2\ +\ px\ +\ q are double in the value to the zeros of  2x2  5x  32x^2\ -\ 5x\ -\ 3  , find the values of  p and q

a)

p = -5, q = -6

b)

p = 5, q = 6

c)

p = -4, q = -5

d)

p = 4, q = 5

8.

Find the value of m for which the pair of linear equations 2x=3y - 7 = 0 and (m-1)x + (m+1)y = (3m -1) has infinitely many solutions

a)

5

b)

4

c)

3

d)

1

9.

The sum of numerator and denominator of a fraction is 4 more than twice the numerator. If 3 is added to each of the numerator and denominator , their ratio becomes 2:3, find the fraction.

a)

59\frac{5}{9}

b)

95\frac{9}{5}

c)

56\frac{5}{6}

d)

65\frac{6}{5}

10.

In figure , PQ = 24 cm, QR = 26 cm,  \angle PAR\ =\ 90\degree  , PA = 6 cm and AR = 8 cm. Find  QPR\angle QPR  

a)

 90°90\degree  

b)

 30°30\degree  

c)

 45°45\degree  

d)

 60°60\degree  

11.

In trapezium ABCD, AC and BD intersection at O,  AB\ \parallel\ DC  and AB = 2CD, if area of  ΔAOB = 84 cm2\Delta AOB\ =\ 84\ cm^2  , find the area of  Δ COD\Delta\ COD  

a)

 21 cm221\ cm^2  

b)

 42 cm242\ cm^2  

c)

 48 cm248\ cm^2  

d)

none of these 

12.

In figure ,  MN\ \parallel AB  , BC = 7.5 cm, AM = 4 cm and MC = 2 cm. Find the length BN. 

a)

5 cm

b)

4 cm

c)

10 cm

d)

7 cm

13.

The mean of the following frequency distribution is 62.8. Find the missing frequency x

a)

10

b)

12

c)

11

d)

15

14.

Find median class of the above data

a)

30 - 40

b)

10 - 20

c)

40 - 50

d)

50 - 60

15.

Find mean of the above data

a)

26.04

b)

30.05

c)

20

d)

45

16.

Find mode of the above data

a)

65

b)

60

c)

75

d)

55

17.

The nth term of AP is given by (-4n+15). Find sum of first 20 terms of this AP

a)

540

b)

-540

c)

520

d)

-520

18.

The common difference of the AP  \frac{1}{3q},\ \frac{\left(1-6q\right)}{3q},\frac{\left(1-12q\right)}{3q}  ..is

a)

-2

b)

2

c)

4

d)

-4

19.

A card is drawn at random from a well shuffled pack of 52 playing cards, Find the probability that drawn card is neither a jack nor an ace

a)

1113\frac{11}{13}

b)

113\frac{1}{13}

c)

326\frac{3}{26}

d)

152\frac{1}{52}

20.

a box contains card numbered 6 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square.

a)

19\frac{1}{9}

b)

29\frac{2}{9}

c)

15\frac{1}{5}

d)

145\frac{1}{45}