### Question 1

The HCF and LCM of p(x) and q(x) are

and

respectively. If

then q(x) = ____.

A)

B)

C)

D)

### Question 2

The ratio of one polynomial to another polynomial is called a rational expression. If the numerator of a rational expression is a quadratic polynomial with the zeroes 3 and -2 and the denominator is a quadratic polynomial with the zeroes

and 3, then the rational expression is ____.

A)

B)

C)

D)

### Question 3

A and B each have certain number of oranges. A says to B, "if you give me 10 of your oranges, I will have twice the number of oranges left with you". B replies, "if you give me 10 of your oranges, I will have the same number of oranges as left with you". The number of oranges with A and B are ____.

A) 40 and 80

B) 30 and 50

C) 70 and 30

D) 70 and 50

### Question 4

If

then the values of

are

A) True

B) False

### Question 5

If one bulb is taken out at random from a box of 600 electric bulbs containing 12 defective bulbs, then the probability of getting a non-defective bulb is ____.

A) 0.78

B) 0.65

C) 0.98

D) 0.85

### Question 6

The following graph represents the more than ogive of the given frequency distribution.

A) True

B) False

### Question 7

A container, opened from the top is made up of a metal sheet, is in the form of a frustum of a cone of height 12 cm with the radii of its lower and upper ends as 6 cm and 16 cm, respectively. The cost of the milk which can completely fill the container at the rate of Rs. 15 per litre is approximately equal to ____.

(Use

)

A) Rs. 74.15

B) Rs. 75.25

C) Rs. 73.05

D) Rs. 73.65

### Question 8

The angle of a sector of a circle of radius 7 cm is 30

^{o}. The area of the corresponding major sector is ____ cm

^{2}.

A)

B)

C)

D)

### Question 9

A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60

^{o}. When he moves 40 metres away from the bank, he finds the angle of elevation to be 30

^{o}. The height of the tree and the width of the river are respectively ____.

A) 35.64 m and 10 m

B) 37.64 m and 30 m

C) 39.64 m and 20 m

D) 34.64 m and 20 m

### Question 10

up to

terms = ____.

A)

B)

C)

D)