All questions of NTSE Mock Tests with Solutions for Class 10 Exam

DIRECTIONS: Three of the four figures marked 1, 2, 3 and 4 are similar in some way or the other and one is different from the rest. You have to choose the figure which is different:

DIRECTIONS : Read the following passage and answer the questions given after it.
Freedom has assuredly given us a new status and new opportunities. But it also implies that we should discard selfishness, laziness and all narrowness of outlook. Our state of freedom implies toil and new values for old things. We should so discipline ourselves as to be able to discharge our new responsibilities satisfactorily. If there is any one thing that needs to be stressed more than any other in the new set-up, it is that we should put into action our full capacity, each one of us, in productive effort---each one of us in his own sphere, however humble. Work, increasing work should be our watchword. Work is wealth and service is happiness. The greatest crime in India today is idleness. If we root our idleness, all our difficulties including our conflicts, will gradually disappear. Whether as a constable or as a high official of the state, whether as a businessman or industrialist or artisan or farmer, we should all discharge our obligations to the state and contribute to the welfare of the country. Honest work is the sheet anchor to which if we cling, we shall be saved in spite of every danger or difficulty. Honest work is the fundamental law of progress.

Q. What has freedom given us?

Lakshmi and Meena are Rohan's wives. Shalini is Meena's step-daughter. How is Lakshmi related to Shalini?

Match column I with column II and select the correct answer using the codes given below:
Column I
(A) Electric potential
(B) Electric current
(C) Electric power
(D) Resistance

Column II
(p) The obstruction offer to the flow of charge
(q) The electric work done per unit time
(q) The electric work done per unit time
(s) The electric work done per unit charge

Consider the following statements:
(a) All hydrocarbons show phenomena of isomerism.
(b) The members of a homologous series have similar chemical and physical properties. 
(c) Cyclic hydr ocar bon s are satur ated or un satur ated organic compounds that contain ring of carbon atoms.
(d) Synthetic detergents are sodium or potassium salts of long chain carboxylic acids.
Which of the above statement(s) is/are correct?

DIRECTIONS : Select the meaning of the given phrases/idioms.

Q. By  hook or by crook

If a point C lies between two points A and B such that AC = BC, then AB is equal to

Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 metres per second into a cylindrical tank. The radius of whose base is 60 cm. The rise in the level of water in 30 minutes is

DIRECTIONS: These questions are based on letter series. Study the series carefully to determine the order (Pattern). Select the answer from the choices given :

Q. X U S P N K ?

Which statement is incorrect regarding the following reaction?
Cu (s) + 2AgNO₃ (aq) → Cu(NO₃)₂ (aq) + 2 Ag(s)

At my house I am facing East. Then I turn left and go 10 m, then I turned right and go 5 m. Then I go 5 m to the South and from there 5 m to the West. In which direction am I from my house? 

DIRECTIONS : Read the following passage and answer the questions given after it.
Freedom has assuredly given us a new status and new opportunities. But it also implies that we should discard selfishness, laziness and all narrowness of outlook. Our state of freedom implies toil and new values for old things. We should so discipline ourselves as to be able to discharge our new responsibilities satisfactorily. If there is any one thing that needs to be stressed more than any other in the new set-up, it is that we should put into action our full capacity, each one of us, in productive effort---each one of us in his own sphere, however humble. Work, increasing work should be our watchword. Work is wealth and service is happiness. The greatest crime in India today is idleness. If we root our idleness, all our difficulties including our conflicts, will gradually disappear. Whether as a constable or as a high official of the state, whether as a businessman or industrialist or artisan or farmer, we should all discharge our obligations to the state and contribute to the welfare of the country. Honest work is the sheet anchor to which if we cling, we shall be saved in spite of every danger or difficulty. Honest work is the fundamental law of progress.

Q. How should we discipline ourselves?

DIRECTIONS : Choose the word which best fills the blank from the four options given.

Q. Mr. Singh ________ his son for breaking the window- pane. 

DIRECTIONS : In these questions, there are given two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the two statements disregarding commonly known facts.

Q. Statements :
1. Some camels are ships.
2. No ship is a boat.
Conclusions :
I. Some ships are camels.
II. Some boats are camels.
III. Some camels are not boats.
IV. All boats are camels.

DIRECTIONS: The numbers given in the following questions have a specific pattern. Select, from the choices provided under each question, the term to replace the question mark and continue the pattern:

Q. 3, 5, 9, 17, 33, 65, ?

In each of the four groups of letters, one is different from others. Pick the odd one out.

The sulphide ore among the following is:

If sin 5θ = cos 4θ, where 5θ and 4θ are acute angles, then the value of θ is

Renu walks 9 kms towards East and then 12 kms towards the South. How far is she from starting point?

I went 15 m to the north, then I turned west and covered 10 m, then turned south and covered 5 m, and then turned east and covered 10m. In which direction am I from the starting point?

The value of k for which the system of linear equation: kx + 4y = k – 4,  16x + ky = k, has many solutions, is

In a quadrilateral the angles are in the ratio 3 : 4 : 5 : 6. Then the difference between the greatest and the smallest angle is

If the system of equations 3x + y = 1
(2k – 1)x + (k – 1)y = 2k + 1 is inconsistent, then k =

DIRECTIONS : Read the following passage and answer the questions given after it.
In the early 1920's, settlers came to Alaska looking for gold. They travelled by boat to the coastal towns of Seward and Knik, and from there by land into the gold fields. The trail they used to travel inland is known today as the Iditarod Trail, one of the National Historic Trails designated by the Congress of the United States. The Iditarod Trail quickly became a major thoroughfare in Alaska, as the mail and supplies were carried across this trail. People also used it to get from place to place, including the priests, ministers, and judges who had to travel between villages. In the winter, the settlers' only means of travel down this trail was via dog sled. Once the gold rush ended, many gold-seekers went back to where they had come from, and suddenly there was much less travel on the Iditarod Trail. The introduction of the airplane in the late 1920's meant dog teams were no longer the standard mode of transportation, and of course with the airplane carrying the mail and supplies, there was less need for land travel in general. The final blow to the use of the dog teams was the appearance of snowmobiles.
By the mid 1960's, most Alaskans didn't even know the Iditarod Trail existed, or that dog teams had played a crucial role in Alaska's early settlements. Dorothy G. Page, a self-made historian, recognized how few people knew about the former use of sled dogs as working animals and about the Iditarod Trail's role in Alaska's colourful history.
To raise awareness about this aspect of Alaskan history, she came up with the idea to have a dog sled race over the Iditarod Trail. She presented her idea to an enthusiastic musher, as dog sled drivers are known, named Joe Redington, Sr. Soon the Pages and the Redingtons were working together to promote the idea of the Iditarod race.
Many people worked to make the first Iditarod Trail Sled Dog Race a reality in 1967. The Aurora Dog Mushers Club, along with men from the Adult Camp in Sutton, helped clear years of overgrowth from the first nine miles of the Iditarod Trail. To raise interest in the race, a $25,000 purse was offered, with Joe Redington donating one acre of his land to help raise the funds. The short race, approximately 27 miles long, was put on a second time in 1969.
After these first two successful races, the goal was to lengthen the race a little further to the ghost town of Iditarod by 1973. However in 1972, the U.S. Army reopened the trail as a winter exercise, and so in 1973, the decision was made to take the race all the way to the city of Nome-over 1,000 miles. There were many who believed it could not be done and that it was crazy to send a bunch of mushers out into the vast, uninhabited Alaskan wilderness. But the race went! 22 mushers finished that year, and to date over 400 people have completed it.

Q. The primary purpose of this passage is to

In order that a floating object be in a stable equilibrium, its centre of buoyancy should be

DIRECTIONS : This question is based on letter series from which some of the letters are missing. The missing letters are given in the proper sequence as one of the alternatives.  Find the correct alternative :

Q. __ b __ abb __ __ bab __ __ bba

A student tested the pH of distilled water and found that the colour of pH paper changed to green. He checked the pH again after dissolving a pinch of common salt in water. The colour of the pH paper this time was:

Vijay’s position is 14th from upwards in a class of 43 students. What will be his position from downwards?

Consider the following statements:
(a) Sudden action in response to something in the environment is called reflex action.
(b) Sensory neurons carry signals from spinal cord to muscles.
(c) Motor neurons carry signals from receptors to spinal cord.
(d) The path through which signals are transmitted from a receptor to a muscle or a gland is called reflex arc.
Which of the above statements are correct?

In the following numbers series, how many even numbers are immediately preceded by 6 as well as immediately followed by 3?
6   6   5   6   8   3   9   4   3   6   7   3   6   4   3   2   8   6   4   6   8 2   6   6   3

‘Hour’ is related to ‘Second’ in the same way as ‘Tertiary’ is related to

In a class of 60, where girls are twice that of boys, Kamal ranked seventeenth from the top? If there are 9 girls ahead of Kamal, how many boys are after him in rank?

The ratio in which the point (1/2,6) divides the line segment joining the points (3, 5) and  (–7, 9) is

DIRECTIONS : Read the following passage and answer the questions given after it.
In the early 1920's, settlers came to Alaska looking for gold. They travelled by boat to the coastal towns of Seward and Knik, and from there by land into the gold fields. The trail they used to travel inland is known today as the Iditarod Trail, one of the National Historic Trails designated by the Congress of the United States. The Iditarod Trail quickly became a major thoroughfare in Alaska, as the mail and supplies were carried across this trail. People also used it to get from place to place, including the priests, ministers, and judges who had to travel between villages. In the winter, the settlers' only means of travel down this trail was via dog sled. Once the gold rush ended, many gold-seekers went back to where they had come from, and suddenly there was much less travel on the Iditarod Trail. The introduction of the airplane in the late 1920's meant dog teams were no longer the standard mode of transportation, and of course with the airplane carrying the mail and supplies, there was less need for land travel in general. The final blow to the use of the dog teams was the appearance of snowmobiles.
By the mid 1960's, most Alaskans didn't even know the Iditarod Trail existed, or that dog teams had played a crucial role in Alaska's early settlements. Dorothy G. Page, a self-made historian, recognized how few people knew about the former use of sled dogs as working animals and about the Iditarod Trail's role in Alaska's colourful history.
To raise awareness about this aspect of Alaskan history, she came up with the idea to have a dog sled race over the Iditarod Trail. She presented her idea to an enthusiastic musher, as dog sled drivers are known, named Joe Redington, Sr. Soon the Pages and the Redingtons were working together to promote the idea of the Iditarod race.
Many people worked to make the first Iditarod Trail Sled Dog Race a reality in 1967. The Aurora Dog Mushers Club, along with men from the Adult Camp in Sutton, helped clear years of overgrowth from the first nine miles of the Iditarod Trail. To raise interest in the race, a $25,000 purse was offered, with Joe Redington donating one acre of his land to help raise the funds. The short race, approximately 27 miles long, was put on a second time in 1969.
After these first two successful races, the goal was to lengthen the race a little further to the ghost town of Iditarod by 1973. However in 1972, the U.S. Army reopened the trail as a winter exercise, and so in 1973, the decision was made to take the race all the way to the city of Nome-over 1,000 miles. There were many who believed it could not be done and that it was crazy to send a bunch of mushers out into the vast, uninhabited Alaskan wilderness. But the race went! 22 mushers finished that year, and to date over 400 people have completed it.
Q. In 1925, when a diphtheria outbreak threatened the lives of people in the remote town of Nome, the government used the Iditarod Trail to transport medicine nearly 700 miles to the town. If the author chose to include this fact in the passage, it would best fit in

DIRECTIONS : Read the following passage and answer the questions given after it.
Many poor farmers had been compelled to take up indigo cultivation when the British settlers were given the right to purchase and cultivate land in India. Many whites, therefore, either acquired loans to poor farmers or pressurised them to forsake the farming of food grains and other cash crops for indigo cultivation.
Indigo export to Europe was lucrative for the British settlers who held a monopoly for this business. Within a few years, most of the fertile lands had undergone forcible indigo cultivation, resulting in a famine situation in Bengal. When the farmers declined to cultivate indigo, they were tortured, jailed and even killed.

Q. Th e poor farmers in Bengal took up indigo cultivation because

Which of the following state is not connected with HVJ pipeline?

If REASON is coded as 5, BELIEVED as 7, what is the code number of GOVERNMENT?

DIRECTIONS : Study the given information carefully and answer the questions given below :
(i) A, B, C, D, E, F and G are sitting on wall and facing east.
(ii) C is on the immediate right to D.
(iii) B is at an extreme end and has E as his neighbour.
(iv) G is between E and F.
(v) D is sitting third from south end.

Q. Which of the following pairs of people is sitting at the extreme ends ?

DIRECTIONS : Choose the word which best fills the blank from the four options given.

Q. Success comes to those who are vigilant not to permit ______ from the chosen path.

DIRECTIONS : Study the given information carefully and answer the questions given below :
(i) A, B, C, D, E, F and G are sitting on wall and facing east.
(ii) C is on the immediate right to D.
(iii) B is at an extreme end and has E as his neighbour.
(iv) G is between E and F.
(v) D is sitting third from south end.

Q. Who is sitting to the right of E ?

The substance that triggers the fall of mature leaves and fruits from plants is due to

A is the sister of B but B is not the sister of A.  What is the relation between A and B?

Consider the following statements :
(a) Real image is always inverted.
(b) Virtual image is always erect.
(c) Image formed by a concave lens is always real and inverted
Which of the above statement(s) is/are correct?

DIRECTIONS: In each question below are given two statements followed by 2 conclusions numbered I & II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Statements: All trucks fly. Some scooters fly.
Conclusion:
I. All trucks are scooters.
II. Some scooters do not fly.

The captain of a cricket team of 11 players is 25 years oldest and the wicketkeeper is 3 years older than the captain. If the ages of these two are excluded, the average age of the remaining players is 1 year less than the average age of the whole team. The average of the whole team is:

DIRECTIONS : Study the given information carefully and answer the questions given below :
(i) A, B, C, D, E, F and G are sitting on wall and facing east.
(ii) C is on the immediate right to D.
(iii) B is at an extreme end and has E as his neighbour.
(iv) G is between E and F.
(v) D is sitting third from south end.

Q. Immediately between which of the following pairs of people is D sitting?

The decimal expansion of π is

DIRECTIONS : Read the following passage and answer the questions given after it.
The greatest enemy of mankind, as people have discovered is not science, but war. Science merely reflects the social forces by which it is surrounded. It is found that when there is peace, science is constructive, when there is war, and science is perverted to destructive ends. The weapons which science gives us do not necessarily create war; these make war increasingly more terrible.
Until now it has brought us to the doorstep of doom. Our main problem, therefore, is not to curb science, but to stop war to substitute law for force and international government for anarchy in the relations of one nation with another. That is a job in which everybody must participate, including the scientists. But the bomb of Hiroshima suddenly woke us up to the fact that we have very little time. The hour is late and our work has scarcely begun. Now we are face to face with this urgent question, "Can education and tolerance, understanding and creative intelligence run fast enough to keep us abreast with our own mounting capacity to destroy?"
That is the question which we shall have to answer one way or the other in this generation. Science must help us in the answer, but the main decision lies within ourselves.

Q. War can be stopped if, 

Who was olympe de Gouse?

If the displacement of an object is proportional to square of time, then the object moves with