Free Printable General test of basic mathematics and GK

1.

What is the name of our Principal?

a)

Prof. Rajiv Dwivedi

b)

Prof. Ravindra Kumar Sharma

c)

Prof. Joti Shah

d)

Prof. Ravindra Kumar

2.

The full form of B.Sc.

a)

Bachelor of Science

b)

Bachelor of Computer Applications

c)

Bachelor of sociology

d)

Bachelor of Arts

3.

What is the name of your Chemistry teacher

a)

Prof. Anupama Mishra

b)

Prof. Anupama Singh

c)

Prof. Ravindra Kumar Sharma

d)

Prof. Rajiv Dwivedi

4.

$\left(a+b+c\right)^2=$

a)

$a^2+b^2+c^2+ab+bc+ca$

b)

$a^2+b^2+c^2+2ab+bc+ca$

c)

$a^2+b^2+c^2+2ab+2bc+2ca$

d)

$2a^2+2b^2+2c^2+ab+bc+ca$

5.

Let $A$ and $B$ be two nonempty sets such that $A\subseteq B\ and\ B\subseteq\ A$ , then

a)

$A=B$

b)

$A\ne B$

c)

$A\approx B$

d)

$A\subset B$

6.

$\lim_{x\rightarrow a}\ \frac{x^{3\ }-a^3}{x-a}=$ ----

a)

$2a^2$

b)

$3a^2$

c)

$3a^3$

d)

$\frac{0}{0}$

7.

The incorrect statement is :

a)

$\left(N,+\right)\ is\ groupoid$

b)

$\left(Z,-\right)$ is groupoid

c)

$\left(Z,-\right)$ is semigroup

d)

$\left(R,-\right)$ is groupoid

8.

A semigroup with identity is called

a)

Monoid

b)

groupoid

c)

group

d)

non of these

9.

$\lim_{x\rightarrow\infty}\ \ \ \frac{\sin\left(\frac{1}{x}\right)}{\frac{1}{x}}=?$

a)

does not exists

b)

1

c)

$\infty$

d)

0

10.

At $x=0$ , the function $f\left(x\right)=\left|x\right|$ is :

a)

Continuous but not differentiable

b)

differentiable but not Continuous

c)

Continuous and differentiable

d)

only differentiable

11.

The charecteristic roots of skew Hermitian matrix are:

a)

pure Real

b)

pure comples

c)

Real or zero

d)

pure complex or zero

12.

The number of points where the function

is not differentiable

a)

2

b)

3

c)

4

d)

0

13.

Let $A\ be\ a\ matrix\ such\ that\ A^{\theta}=A,\$ then $A\ is$

a)

Skew symmetric matrix

b)

Hermitian matrix

c)

skew Hermitian matrix

d)

Idempotent Matrix

14.

Let $A\ and\ B$ be two Hermitian matrix, the matrix $A-B$ is :

a)

Hermitian

b)

skew Hermitian

c)

symmetric

d)

skew symmetric

15.

Let $A$ be any square matrix, then $\left(A^{\theta}\right)^{\theta}=$

a)

$-A$

b)

$A$

c)

$\overline{A}$

d)

$\left(\overline{A}\right)^T$

16.

What is the name of your maths teacher ?

a)

Prof. Ravindra Kumar Sharma

b)

Prof. Rajive Diwedi

c)

Prof. Anoopma Singh

d)

Prof. Vipin Kumar Singh

17.

What is the name of your physics teacher ?

a)

Prof. Anupama Singh

b)

Prof Vipin Kumar SIngh

c)

Prof. Ravindra Kumar Sharma

d)

Prof. Rajive Diwedi

18.

who is he ?

a)

Prime Minister of Pakistan

b)

Chief Ministers of India

c)

President of India

d)

Prime Minister of India

19.

Who is he ?

a)

Chief minister of India

b)

Chief minister of Uttar Pradesh

c)

Home minister of up

d)

President of India

20.

Who is he ?

a)

Our Principal

b)

Our Vice-Principal

c)

head clerk of GDC Sitapur

d)

None of these

21.

उत्तर प्रदेश के वर्तमान उपमुख्यमंत्री कौन -कौन है?

a)

केशव प्रसाद मौर्य

और

केशव प्रसाद मौर्य

b)

केशव प्रसाद मौर्य

और

योगी आदित्यनाथ

c)

ब्रजेश पाठक

और

योगी आदित्यनाथ

d)

केशव प्रसाद मौर्य

और

ब्रजेश पाठक

22.

Who is she ?

a)

Prime minister of India

b)

President of India

c)

Vice-President of India

d)

उत्तर प्रदेश के राज्यपाल

23.

The highest common factor of 108, 72 and 51 is equal to

a)

36

b)

108

c)

3

d)

17

24.

$1\ Decimeter=\ \ \ \ \ \ \ \ \$

a)

10 meter

b)

100 meter

c)

0.1 meter

d)

0.01 meter

25.

How many prime numbers are there between 1 and 50

a)

18

b)

12

c)

15

d)

20

26.

Who was the first nobel prize winner in india

a)

C. V. Raman

b)

Rabindranath Tagore

c)

Amartya Sen

27.

The Taj Mahal is in

a)

Uttar Pradesh

b)

New Delhi

c)

Rajasathan

d)

Arunachal Pradesh

28.

What is the range of the relation shown on the mapping diagram?

a)

R:{3, 5, 8}

b)

R:{-7, 11}

c)

R:{3, 5, 8, 12}

d)

R:{all real numbers}

29.

For what value of x does f(x) = -2?

a)

0

b)

-5

c)

3

d)

-3

30.

Which relation is NOT a function?

{(1,-5), (3,1), (-5,4), (4,-2)}

{(2,7), (3,7), (4,7), (5,8)}

{(1,-5), (-1,6), (1,5), (6,-3)}

{(3,-2), (5,-6), (7,7), (8,8)}

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

31.

Which number does not have a Reciprocal?

a)

1

b)

2

c)

3

d)

0

32.

What is the other name of the Perimeter of a Circle?

a)

Radius

b)

Diameter

c)

Circumference

d)

Chord

33.

Roman Number of 100?

a)

I

b)

L

c)

X

d)

C

34.

∫(4 - 18x)dx

a)

F(x) = -18

b)

F(x) = 4x - 9x²

c)

F(x) = 4x - 9x²+ C

d)

F(x) = (4 - 18x)² /2 + C

35.

$\int\cos\left(3-4x\right)dx_{ }^{ }$

a)

$\frac{1}{4}\sin\left(3-4x\right)+C$

b)

$4\sin\left(3-4x\right)+C$

c)

$-\frac{1}{4}\sin\left(3-4x\right)+C$

d)

$-4\sin\left(3-4x\right)+C$

36.

Derivative means the same thing as

a)

slope of the tangent line

b)

slope of the normal line

c)

exponent

d)

potato

37.

$\frac{\text{d}}{\text{d}y}\left(e^x+2x\right)^3$

a)

$3\left(e^x+2\right)\left(e^x+2x\right)^2$

b)

$3\left(e^x+2\right)^2$

c)

$3\left(e^x+4x^2\right)\left(e^x+2x\right)^2$

d)

$4\left(e^x+2\right)^4$

38.

$\log_324-\log_36=$

a)

$\log_318$

b)

$\log_3144$

c)

$\log_34$

d)

$\log12$

e)

$18\log3$

39.

What is the mean average of these numbers: 8, 1, 10 and 5

a)

5

b)

6

c)

7

d)

8

40.

The name of this shape is

a)

Ellipse

b)

Circle

c)

Hyperbola

d)

Parabola

41.

$If\ f\left(x\right)=\frac{x}{1-x},\ x\ne\ 1,\ Then\ f^{-1}\left(x\right)=$

a)

$\frac{1-x}{x}$

b)

$\frac{x}{1-x}$

c)

$\frac{x}{1+x}$

d)

$x$

42.

उत्तर प्रदेश में कुल जिलों की संख्या कितनी है

a)

51

b)

72

c)

75

d)

71

43.

ये ---------राज्य के मुख्यमंत्री हैं।

a)

हरियाणा

b)

हिमाचल प्रदेश

c)

पंजाब

d)

दिल्ली

44.

राहुल गांधी के पिता जी का क्या नाम है?

a)

संजय गांधी

b)

राजीव गांधी

c)

वरुण गांधी

d)

फिरोज़ गांधी

45.

ये किस राज्य मुख्यमंत्री के मुख्यमंत्री है ?

a)

अरुणाचल प्रदेश

b)

पंजाब

c)

दिल्ली

d)

हरियाणा

46.

If $f\left(\theta\ \right)=\sin^2\theta\ +\cos^2\theta\ +2\cos\theta\ ,\ Then\ \ f\left(\frac{\pi}{3}\ \right)=---$

a)

1

b)

2

c)

0

d)

$1+\sqrt{\left(3\right)}$

47.

इस आकृति का नाम है-----

a)

शंकु (Cone)

b)

बेलन (Cylinder)

c)

गोला (Sphere)

d)

घनाभ(cuboid )

48.

$\frac{41}{4}=---$

a)

1.25

b)

1.025

c)

10.25

d)

20.25

49.

If $\omega^3=1,\ then\ \ \omega^{19}+\omega^{29}+\omega^{39}=---\ ^{ }\ ^{ }$

a)

3

b)

2

c)

1

d)

0

50.

He is the current president of

a)

Ukraine

b)

Russia

c)

America

d)

India

General test of basic mathematics and GK

Total questions: 50

Worksheet time: 35mins

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