Free Printable 10TH NTSE MCQS QUIZ

1.

There is a rhombus of one side 17cm and one diagonal 30cm. The area of the rhombus will be _______

a)

$60cm^2$

b)

$240cm^2$

c)

$305cm^2$

d)

$750cm^2$

2.

Numbers 50, 42, 35, 2x+10, 2x-8, 12, 11, 8 are written descending order and their median is 25. Then x = ______

a)

20

b)

25

c)

12

d)

11

3.

When

x^3+3x^2-kx+4\

is divisible by x-2, then the remainder is 2k, then the value of k is

a)

6

b)

-6

c)

2

d)

-2

4.

If every side of a triangle is doubled, then increase in the area of the triangle is

a)

$100\sqrt{2}\%$

b)

$200\%$

c)

300%

d)

400%

5.

If

$x+\frac{1}{x}=5,\$ then $\frac{2x}{3x^2-5x+3}=$

a)

5

b)

$\frac{1}{5}$

c)

3

d)

$\frac{1}{3}$

6.

If sinx+sin2x = 1, then the value of $\cos^{12}x+3\cos^{10}x+3\cos^8x+\cos^6x-2$ =

a)

0

b)

1

c)

-1

d)

2

7.

The value of $\cos\ \frac{\pi}{7}+\cos\ \frac{2\pi}{7}+\cos\ \frac{3\pi}{7}$

$+\cos\ \frac{4\pi}{7}+\cos\ \frac{5\pi}{7}+\cos\ \frac{6\pi}{7}$ $+\cos\ \frac{7\pi}{7}=$

a)

1

b)

-1

c)

0

d)

none of these

8.

If log $\frac{2}{5}$ , $\log_s\left(2-3\right)\ and$ $\log_s\left(\frac{17}{2}+2^x-1\right)$ are in A.P. then the value of x is

a)

0

b)

-1

c)

3

d)

4

9.

If the ratio of the sum of m terms and n terms of an A.P. be m2:n2, then the ratio of its mth and nth terms will be

a)

2m-1:2n-1

b)

m:n

c)

2m+1:2n+1

d)

m-1:n-1

10.

Sum of first n terms of the series $\frac{1}{2}+\frac{3}{4}+\frac{7}{8}+...=$

a)

$2^n-n-1$

b)

$1-2^n$

c)

$n+2^{-n}-1$

d)

$2^n+1$

11.

The G.C.D and L.C.M of two numbers a, b are 27, 2079 respectively. If a is exactly divided by 9 the Quotient is 21 then b is ______

a)

243

b)

189

c)

113

d)

297

12.

If $x=a+\sqrt{a^2-1}then\ a\ =$

a)

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

b)

$\frac{1}{2}\left(x+\frac{1}{x}\right)$

c)

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

d)

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

13.

$If\ a\sqrt{3}+4\sqrt{pq}=6\sqrt{3}$ and $p,q\ \sum_{ }^{ }N$ then the value of a + p + q

a)

4

b)

6

c)

5

d)

7

14.

$\log_2\log_2\log_3\log_3125^3=$

a)

1

b)

0

c)

3

d)

underdefined

15.

If $\alpha,\beta,\gamma$ are zeros of polynomial $4x^3-3x+5x-2$ then the value of $\frac{\alpha}{\beta\gamma}+\frac{\beta}{\gamma\alpha}+\frac{\gamma}{\alpha\beta}$

a)

$-\frac{31}{4}$

b)

$-\frac{32}{5}$

c)

$-\frac{31}{8}$

d)

$\frac{32}{5}$

16.

A laborer was engaged for 30days on the condition that he will be paid 35 rupees each day he works and will be fined 10 rupees for each day he is absent. If he earned 735 rupees in total then the number of days he worked___

a)

21

b)

22

c)

25

d)

23

17.

In a class, 70 students wrote two tests. 50% of the students failed the test-I and 40% of the students failed the test-II. Then the number of students passed in both the tests is

a)

21

b)

7

c)

28

d)

14

18.

$A=\left\{4^n-3n-1,n\Xi N\right\},$ $B=\left\{9\left(n-1\right),n\Xi N\right\}$ then $A\cup B\ =$

a)

A

b)

B

c)

N

d)

None

19.

The area of a sector whose perimeter is four times its radius is _______ $\left(unit\right)^2$

a)

$\frac{r^2}{4}$

b)

$2r^2$

c)

$r^2$

d)

$\frac{r^2}{2}$

20.

The area of the incircle of an equilateral triangle of side 42cm is_______

a)

$524cm^2$

b)

$72\sqrt{3}cm^2$

c)

$441cm^2$

d)

$462cm^2$

21.

Find the wrong one about hockey.

a)

Modern hockey evolved from traditional games once current in Britain

b)

The first hockey club in India was started in Culcutta in 1885-1886

c)

Between 1928 and 1956, India won gold medals in six consecutive Olympic Games.

d)

none of these

22.

In which princely state, women of the shanar caste were attacked by upper-caste nairs for wearing a cloth across their upper bodies?

a)

Jammu & Kashmir

b)

Rajputana

c)

Mysore

d)

Travancore

23.

Which U.S. president called upon farmers to “plant more wheat, wheat will win the war”?

a)

Woodrow Wilson

b)

Franklin Roosevelt

c)

James Munro

d)

Harry S. Truman

24.

The concept of the Vicious Circle of Poverty was given by

a)

Adam Smith

b)

T. T. Malthus

c)

Karl Marx

d)

Ragnar Nurkse

25.

Which treaty recognized the independence of thirteen colonies?

a)

Treaty of Paris, 1783.

b)

Treaty of Philadelphia, 1788.

c)

Treaty of Rome, 1791.

d)

Treaty of Vienna, 1803.

26.

Find out the incident that is not related to the unification of Germany.

a)

Formation of Zollverein.

b)

The Schleswig-Holstein question.

c)

Civil war

d)

Ems Telegram

27.

Who is known as “Boers”?

a)

Dutch farmers settled in South Africa.

b)

Norwegian farmers settled in China.

c)

Spanish farmers settled in Chile.

d)

Portuguese farmers settled in Mexico.

28.

“That Smallpox signaled God’s blessings for the colonist, the natives were near all dead of smallpox, so as the Lord had cleared our title to what we possess.” Which Massachusetts Bay colony Governor wrote this to the England Government?

a)

George Popham

b)

Ralegh Gilbert

c)

John Winthrop

d)

William Bradford

29.

The main reason for Gandhiji's calling off Disobedience Movement is ...

a)

Chauri chaura incident.

b)

Poona pact.

c)

Gandhi - Irwin pact.

d)

The arrival of Simon Commission

30.

Which among the following is the main drawback in the formation of the Simon Commission?

a)

The Commission did not have a single Indian member.

b)

The Commission constituted of Military officers.

c)

It was more expensive.

d)

All of these

31.

The Royal Indian Navy Revolt took place in the year ...

a)

1942

b)

1944

c)

1946

d)

1940

32.

We consider it natural that these two worlds remain distinct what the man gives in courage on the battlefield, the gives in eternal self-sacrifice, in eternal pain and suffering. Every child that women bring to the world is a battle, a battle waged for the existence of her people.” Who is this addressing woman?

a)

Otto von Bismarck

b)

Adolf Hitler

c)

Benito Mussolini

d)

General Franco

33.

Who founded the Vietnamese Communist party?

a)

Chinh Phu Ngam

b)

Gia Huan Ca

c)

Ho Chi Minh

d)

Bao Dai

34.

Name the England poet, who organized funds and later went to fight the war for the independence of Greece, which was a part of the Ottoman empire?

a)

Emily Bronte

b)

Lord Byron

c)

John Clare

d)

Rudyard Kipling

35.

The Indus Valley people had trade relations with

a)

Egypt

b)

Greece

c)

Ceylon

d)

Mesopotamia

36.

On which the island of Lakshadweep, a bird sanctuary is located?

a)

Andrott island

b)

Pitti island

c)

Minicoy island

d)

Agatti island

37.

In which plain region, Dudhwa National Park is located?

a)

Bhabar

b)

Bhangar

c)

IJhader

d)

Terai

38.

Rat-hole mining is found in

a)

Jharkhand

b)

Orissa

c)

Madhya Pradesh

d)

Meghalaya

39.

Arrange the onset of southwest monsoons in an order, where they appear first?

a)

Mangalore, Daman, Surat, Vadodara.

b)

Daman, Surat, Mangalore, Vadodara.

c)

Mangalore, Surat, Daman, Vadodara.

d)

Vadodara, Daman, Mangalore, Surat.

40.

The roots of which plants are submerged underwater?

a)

Tropical evergreen forests.

b)

Deciduous forests.

c)

Thorny forests.

d)

Mangrove forests.

41.

In India, most migrations have been from rural to urban areas because of the push factor in rural areas. Which among these is not a push factor?

a)

Unemployment.

b)

Adverse conditions of poverty.

c)

Seasonal employment.

d)

Better living conditions.

42.

Consider the following statements about population and choose the right one.

a)

Internal migration does not change the size of the population.

b)

Migration among women is mainly due to marriages.

c)

The government of India initiated the comprehensive family planning program in 1952.

d)

The highest annual growth rate was recorded in the decade 1981.

43.

Coriolis force is maximum at ...

a)

the Equator.

b)

the Tropics.

c)

the Arctic and Antarctic Circles.

d)

the Poles.

44.

North-South Corridor Project does /lot pass through ...

a)

Jhansi

b)

Nizamabad

c)

Bangalore

d)

Indore

45.

Which of these minerals is used in hardening steel?

a)

Cooking coal

b)

Limestone

c)

Manganese

d)

Mica

46.

Find the wrong one about maize crop.

a)

Maize is a Kharif crop but some states like Bihar grow in Rabi also.

b)

It is used both as food and fodder.

c)

Major maize producing states are Karnataka and Uttar Pradesh.

d)

Maize is the third most important food crop with respect to area and production.

47.

Salal project is located on the river ...

a)

Chenab

b)

Jhelum

c)

Beas

d)

Ghagra

48.

In which of the following states is/are black soil found?

a)

Maharashtra

b)

Madhya Pradesh

c)

Telangana

d)

all of these

49.

Find out the writings which are not related to the conservation of resources.

a)

Small is beautiful.

b)

Our common future.

c)

The silent spring.

d)

none of these

50.

Find out the wrong one about Tiger Reserves of India.

a)

Manas - Tiger Reserve - Assam

b)

Bandhavgarh - National Park - Maharashtra

c)

Periyar - National Park - Kerala

d)

Corbett - National Park - Uttaranchal.

51.

Which of the following statements is wrong about today’s world?

a)

The relationship between different countries has become more democratic than ever before.

b)

In more and more countries, rulers are being elected by the people.

c)

There are no military rulers in the world.

d)

none of these

52.

Which of the following statements is not a character of democratic elections?

a)

Everyone should have one vote and every vote should have equal value.

b)

Elections must be held regularly after every few years.

c)

The candidate preferred by the people should get elected.

d)

The contestant can canvas on the grounds of caste.

53.

The larger occurrences of minerals of igneous and metamorphic rocks are called:

a)

Veins

b)

Lodes

c)

Beds

d)

Layers

54.

Who was the president of the Constituent Assembly?

a)

Pt- Jawaharlal Nehru

b)

Dr. Rajendra Prasad

c)

Dr. BR Ambedkar

d)

K.M. Munshi

55.

The Rajya Sabha can have a maximum strength of...

a)

250

b)

275

c)

300

d)

325

56.

The largest income under indirect taxes is obtained from

a)

Sales Tax

b)

Excise Tax

c)

Customs Duty

d)

Service Tax

57.

Which of the following statements is wrong about food grains in India?

a)

The production of food grains has increased five times over the last five decades.

b)

Today a farmer is able to produce nearly 800 kgs of food grains per acre of cultivable land.

c)

A large stock of food grains has also built up with the government through Central Warehousing Corporation.

d)

none of these

58.

A person is said to be overweight if the body mass index is more than ...

a)

18

b)

22

c)

16

d)

25

59.

Which of the following neighboring countries has better performance in terms of expected years of schooling than India?

a)

Bangladesh

b)

Srilanka

c)

Pakistan

d)

all of these

60.

Find out the wrong statement.

a)

Employment in the service sector has not increased to the same extent as production.,

b)

Most of the workers in the organized sector enjoy job security.

c)

The activities in primary, secondary, and tertiary sectors are interdependent.

d)

none of these

10TH NTSE MCQS QUIZ - 11 (Math, & Social)

Total questions: 60

Worksheet time: 36mins

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