Free Printable ISC MATHEMATICS 2020-21 ZIET, BHUBANESWAR mid test

1.

What is the degree of the differential equation

\sqrt{1+\frac{d^2y}{dx^2}}\ =\ \sin\left(\frac{\text{d}y}{\text{d}x}\right)

a)

1

b)

2

c)

not defined

d)

none of these

2.

The solution of

\frac{\text{d}y}{\text{d}x}\ -\ \frac{y\left(x+y\right)}{x^2}=0

is

a)

y log x +x +c y = 0

b)

y log x - x +c y = 0

c)

x log y +x +c y = 0

d)

none of these

3.

The solution of

\log\left(\frac{\text{d}y}{\text{d}x}\right)=ax\ +\ by\ \ is

a)

$\frac{1}{a}e^{ax}\ +\frac{1}{b}e^{-by}+c=0$

b)

$\frac{1}{a}\ e^{-ax}+\frac{1}{b}e^{-by}+c=0$

c)

$\frac{1}{a}e^{ax}+\frac{1}{b}e^{by}\ +c=0$

d)

none of these

4.

The differential equation of the family of curves

y=Acosx + Bsinx, where A & B are arbitrary constants is

a)

$\frac{d^2y}{dx^2}-y\ =0$

b)

$\frac{d^2y}{dx^2}+y=0$

c)

$y\ \frac{d^2y}{dx^2}+x\ =0$

d)

none of these

5.

If the general solution of a differential equation is

\left(y+c\right)^2\ =cx

where c is an arbitrary constant, then the order of the differential equation is

a)

undefined

b)

2

c)

1

d)

3

6.

The total number of four digit odd numbers that can be formed by using 0,1,2,3,5 &7 is

a)

120

b)

1296

c)

1080

d)

720

7.

A polygon has 44 diagonals, the number of its sides is

a)

4

b)

10

c)

11

d)

none of these

8.

There are 10 points in a plane out of which four are collinear. Total number of straight lines formed by joining them is

a)

30

b)

40

c)

45

d)

none of these

9.

Out of 15 points in a plane, n points are in the same straight line. 445 triangles can be formed by joining these points. The value of n is

a)

3

b)

4

c)

5

d)

6

10.

if a, b, c are in arithmetic progressions as well as in geometric progression then

a)

$a=b\ne c$

b)

$a\ne b=c$

c)

$a\ne b\ne c$

d)

$a=b=c$

11.

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

a)

a = 12, b = 15

b)

a = 24 , b = 6

c)

a = 10, b = 12

d)

none of these

12.

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)

2480m

b)

2840m

c)

1420m

d)

none of these

13.

The real value of x for which

x^2-3x+2\ >0\ and\ x^2-3x-4\le0\ are

a)

$-1\le x<1,\ 2<x\le4$

b)

$-1\le x<1\ ,\ 3<x\le4$

c)

$x\le-1,\ x\ge4$

d)

none of these

14.

In drilling world's deepest hole it was found that the temperature T in degree celsius, x cm below the earth's surface was given by

T = 30 + 25(x-3), $3\le x\le15$

At what depth will the temperature be between 155 degree celsius and 205 degree celsius.

a)

$8<x<14$

b)

$8<x<10$

c)

$5<x<7$

d)

none of these

15.

Number of integral solutions for $\left|x-1\right|+\left|x-2\right|\ge4\ \&\ 1\le x<2$

is

a)

3

b)

2

c)

1

d)

0

16.

Google classroom is availiable to schools with a google Apps for education with the domain

a)

GAfE

b)

GAeF

c)

GafE

d)

none of these

17.

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

a)

Password

b)

Teacher's Email id

c)

Teacher's phone number

d)

class code

18.

Which of the following promotes dignity?

a)

social inclusion

b)

privacy

c)

personal hygiene

d)

all the above

e)

none of these

19.

Which of the following foster dignity and respect at work?

a)

never underestimate your subordinates and colleagues

b)

have an open door policy with everybody

c)

give a lot of work pressure to your subordinates

d)

(i) and (ii)

e)

(i) and (iii)

20.

The use of teaching aids is justified on the grounds of

a)

attracting student's attention in the class room

b)

minimizing indiscipline problems in the class room

c)

optimizing learning outcomes of students

d)

effective engagement of students in learning tasks

ISC MATHEMATICS 2020-21 ZIET, BHUBANESWAR mid test

Total questions: 20

Worksheet time: 3600secs

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