Free Printable ISC 2020-21 MATHEMATICS POST TEST, ZIET BBSR

1.

If A = {1,2,3,4,5} and B = {2,3,6,7} then the number of elements in

\left(A\times B\right)\ \cap\left(B\times A\right)

is

a)

4

b)

10

c)

20

d)

NONE OF THESE

2.

Let f : $R_+\longrightarrow\left[-5,\infty\right)$ defined by

f\left(x\right)\ =\ 9x^2+6x-5

, then f is

a)

one one onto

b)

one one into

c)

many one onto

d)

none of these

3.

Let A, B and C are 2 x 2 matrices with entries from the set of real numbers. The operation

* is defined as A * B =

\ \ \frac{1}{2}\left(AB\ +\ BA\right)

, then

a)

A * A = $A^2$

b)

A * B = B * A

c)

A * ( B + c )=A * B + A * C

d)

all the above

4.

If the rate of change of surface area of a sphere is

$2m^2$ /s , then the rate of change of its volume at r = 2 metre is

a)

1 cubic meter per second

b)

2 cubic meter per second

c)

5 cubic meter per second

d)

none of these

5.

The distance s of the particle in time t is $s\ =\ t^3-6t^2-4t-8$ . Its acceleration vanishes at

a)

t = 1

b)

t = 2

c)

t = 3

d)

none of these

6.

Equation of the normal line to the curve y = x log x parallel to 2x - 2y + 3 = 0 is

a)

$x-y=3e^{-2}$

b)

$x-y=6e^{-2}$

c)

$x-y=3e^2$

d)

none of these

7.

On the ellipse $4x^2+9y^2=1$ , the points at which the tangents are parallel to the line 8x = 9y are

a)

$\left(\frac{2}{5},\frac{1}{5}\right),\ \left(\frac{1}{5},\frac{2}{5}\right)$

b)

$\left(-\frac{2}{5},\frac{1}{5}\right),\ \left(\frac{2}{5},-\frac{1}{5}\right)$

c)

no such point exist

d)

none of these

8.

If $A^2-A+I\ =\ 0$ , then inverse of A is

a)

$A+I$

b)

A

c)

$A-I$

d)

$I-A$

9.

If n(U) = 50, n(A) = 28 and n(B)=30 then greatest value of $n\left(A\cup B\right)$ is

a)

30

b)

28

c)

50

d)

58

10.

If $f\left(x\right)\ =\ \frac{\left|x\right|-x}{2x}$ then the range of f is

a)

{0 , -1}

b)

[ 0 , -1]

c)

( 0 , -1 )

d)

none of these

11.

Domain of $f\left(x\right)=\frac{1}{3-2\sin x}$ is

a)

R - {3/2}

b)

R - {2/3}

c)

R

d)

none of these

12.

In how many ways can 4 different balls be distributed in 3 boxes?

a)

81

b)

12

c)

16

d)

none of these

13.

In how many ways can 3 letters be posted in 4 letter boxes?

a)

9

b)

12

c)

64

d)

none of these

14.

The number of signals which can be given with three flags of different colors by using any number of flags at a time is

a)

3

b)

6

c)

15

d)

none of these

15.

The two curves $x^3-3xy^2+2\ =\ 0\ and\$

3x^2y-y^3=2

a)

cut at right angles

b)

touch each other

c)

cut at an angle of 60 degree

d)

none of these

16.

The two curves $y^2=4x$ and

x^2+y^2-6x\ +1\ =\ 0

at the point ( 1, 2 )

a)

intersect orthogonally

b)

intersect at an angle of 60 degree

c)

touch each other

d)

none of these

17.

$The\ value\ of\ \int_0^{\frac{\pi}{2}}\ \frac{\tan x}{\tan x\ +\ \cot x}dx\ is$

a)

$\frac{\pi}{2}$

b)

$\frac{\pi}{4}$

c)

$\frac{\pi}{3}$

d)

none of these

18.

Which function's anti derivative is $\log\left(x+\sqrt{1+x^2}\right)\ +\ 7$ ?

a)

$\frac{x}{\sqrt{1+x^2}}$

b)

$\frac{1}{\sqrt{1+x^2}}$

c)

$\frac{1}{\sqrt{1-x^2}}$

d)

none of these

19.

The value of $\int_0^{\frac{\pi}{2}}\ \frac{\cos x}{1+\sin^2x}dx$ is

a)

$\frac{\pi}{2}$

b)

$\frac{\pi}{3}$

c)

$\frac{\pi}{4}$

d)

none of these

20.

The area bounded by the curve xy = 4, the x axis and the lines x=1 and x=3 is

a)

4 log 3

b)

3 log 4

c)

2 log 3

d)

none of these

21.

The full form of OECD is

a)

Organisation for Economic Control and Development

b)

Organisation for Educational Cooperation and Development

c)

Organisation for Economic Cooperation and Development

d)

none of these

22.

The total number of four digit odd numbers that can be formed by using 0,1,2,3 & 5 is

a)

300

b)

120

c)

24

d)

none of these

23.

If 15 and 12 are the arithmetic mean and geometric mean respectively of two numbers a and b then a & b are

a)

a = 15, b = 12

b)

a = 24, b = 6

c)

a = 24 , b = 4

d)

none of these

24.

In a potato race 20 potatos are placed in a line at intervals of 4m with the first potato 24m from the starting point. A contestant is required to bring the potatos back to the starting place one at a time. How far would he run in bringing back all the potatos?

a)

2480

b)

1240

c)

1480

d)

none of these

25.

What do students need in order to join your Google Classroom?

a)

password

b)

class code

c)

teacher's phone number

d)

none of these

26.

A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random , then the probability that both balls are white is

a)

$\frac{1}{18}$

b)

$\frac{1}{36}$

c)

$\frac{1}{12}$

d)

none of these

27.

Out of 15 tickets marked with numbers from 1 to 15, one is drawn at random. The chance that

a)

The number on it will be prime is $\frac{2}{5}$

b)

The number on it will be odd is $\frac{7}{15}$

c)

The number on it will be even is $\frac{8}{15}$

d)

none of these

28.

In a binomial distribution mean is 5 and variance is 4. The number of trial is

a)

25

b)

4

c)

5

d)

none of these

29.

The function

$f\left(x\right)=\left|x^2-3x\right|$ is not differentiable at

a)

x = 0 , 1

b)

x = 1, 2

c)

x = 0, 3

d)

none of these

30.

The solution set of the in-equation

2x + y > 5 is

a)

half plane that contains the origin

b)

open half plane not containing the origin

c)

whole xy- plane except the points lying on the line 2x + y = 5

d)

none of these

ISC 2020-21 MATHEMATICS POST TEST, ZIET BBSR

Total questions: 30

Worksheet time: 2hrs 30mins

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