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MATHEMATICS: ENTRY LEVEL TEST

Total questions: 20

Worksheet time: 26mins

Name
Class
Date
1.

In a group of 400 people, 250 can speak Hindi, and 200 can speak English. How many people can speak both Hindi and English?

a)

60

b)

50

c)

55

d)

65

2.

Which of the following is not an example of the null set

a)

Set of odd natural numbers divisible by 2

b)

Set of even prime numbers

c)

{x : x is a natural numbers, x < 5 and x > 7}

d)

{y : y is a point common to any two parallel lines}

3.

The number of elements in power set {1, 2, 3} are

a)

5

b)

6

c)

7

d)

8

4.

The range of R = {(0, 2), (2, 4), (3, 4), (4, 5)} is

a)

{0, 2, 4, 5}

b)

{0, 2, 3, 4}

c)

{2, 4, 5}

d)

{3, 4, 5}

5.

Any two numbers x and y, written in the form(x, y) is called

a)

binary relation

b)

domain

c)

range

d)

an ordered pair

6.

The value of √(-16) is

a)

4i

b)

-4i

c)

2i

d)

-2i

7.

The value of √(-25) + 3√(-4) + 2√(-9) is

a)

13i

b)

-17i

c)

17i

d)

-13i

8.

The value of x and y if (3y – 2) + i(7 – 2x) = 0

a)

x = 7/2, y = 2/3

b)

x = 2/7, y = 2/3

c)

x = 7/2, y = 3/2

d)

x = 2/7, y = 3/2

9.

 Suppose H(t)=t2+5t+1 . Find the limt2H(t).Suppose\ H(t)=t^2+5t+1\ .\ Find\ the\ \lim_{t\rightarrow2}H(t). 

a)

15

b)

2t+5

c)

1

d)

9

10.

What is  limx2   x24x2\lim_{x\rightarrow2}\ \ \ \frac{x^2-4}{x-2}  ?

a)

0

b)

4

c)

2

d)

8

11.

 what is ddx(3x2)?what\ is\ \frac{\text{d}}{\text{d}x}\left(3x^2\right)?  

a)

3x

b)

6

c)

6x

d)

x

12.

The median of 7, 6, 4, 8, 2, 5, 11 is

a)

6

b)

7

c)

4

d)

8

13.

Number which occurs most frequently in a set of numbers is

a)

mean

b)

mode

c)

median

d)

none of the above

14.

If the mean of 6 numbers is 17 then the sum of numbers is

a)

102

b)

103

c)

150

d)

120

15.

If x=a, y=b is the solution of the pair of equation x-y=2 and x+y=4 then what will be value of a and b

a)

3,1

b)

2,1

c)

1,2

d)

4,1

16.

A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

a)

5991

b)

4991

c)

4995

d)

4199

17.

 Find the square root of (7+35)(735)Find\ the\ square\ root\ of\ \left(7+3\sqrt{5}\right)\left(7-3\sqrt{5}\right)  

a)

  5\sqrt{\ 5}  

b)

4

c)

2

d)

 757\sqrt{5}  

18.

If a matrix has 6 elements, then number of possible orders of the matrix can be

a)

2

b)

4

c)

3

d)

6

19.

A ratio equivalent to 3 : 7 is:

a)

3:9

b)

9:21

c)

7:3

d)

21:9

20.

In a class there are 20 boys and 15 girls. The ratio of boys to girls is:

a)

4:3

b)

3:4

c)

5:3

d)

3:5