Self Studies
Self Studies
Self Studies
Self Studies

AISSEE Class IX...

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  • Question 1
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    Keira thinks of a number a6a41 and the number is divisible by 9, but she forgets the value of a. What is the value of a?

  • Question 2
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    Which of the following numbers is in standard form?

  • Question 3
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    What should be subtracted from to get - ?

  • Question 4
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    162.5 : 103 is the same as

  • Question 5
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    The ratio of ages of P and Q is 2 : 3. Six years hence, their ages will be in the ratio 5 : 7. What is the present age of P?

  • Question 6
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    A number consists of two digits and the digit in the units place is less than the digit in the tens place by 5. The digits of the number get reversed, if 5 times the sum of the digits is subtracted from the number. What is the number?

  • Question 7
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    Two consecutive numbers are such that half of the smaller number exceeds one-third of the larger number by 2. Find the larger number.

  • Question 8
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    The sum of digits of a two-digit number is 10. If 18 is added to the number the digits are interchanged. Find the original number.

  • Question 9
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    What will be the value of P(Q + R) – S?

  • Question 10
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    For all natural numbers n, the number n2 + n + 1 is

  • Question 11
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    A cylindrical storage tank can hold 59400 m3 of juice when the diameter of its base is 60 cm. What is the height of tank?

  • Question 12
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    The mean height of some athletes is 162 cm. If the coach with height 180 cm is also included, then the mean height increases by 2 cm. How many athletes are there in total?

  • Question 13
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    Find the volume of the given figure.

  • Question 14
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    There is a triangle whose area is 144 m2. Find the base of this triangle provided that its base is 8 times the height.

  • Question 15
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    How many edges does a pentagonal prism have?

  • Question 16
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    There are 7 terms arranged in descending order. The mean of all of these terms is 7. If 3 is added to each term and then each term is divided by 2 to get the new mean as A, then find the difference between A and the original mean.

  • Question 17
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    The perimeter of a right-angled isosceles triangle is m. Find the area of the triangle.

  • Question 18
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    A wall 8 m long, 6 m high and 22.5 cm thick is made up of bricks, each measuring 25 cm × 11.25 cm × 6 cm. Find the number of bricks required.

  • Question 19
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    PQRS is a cyclic quadrilateral with PQ || SR. If ∠SPQ = 98°, then find ∠PQR.

  • Question 20
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    Office building of XYZ Pvt. Ltd. is in the shape of a pentagonal prism. While giving a tour of the building to one of the new investors, Jon the owner, was asked about the number of faces that the office building has. What was the answer that Jon gave?

  • Question 21
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    Rahul is playing a game. He has got some cards printed numbers on them and on random picking, he got 13, 18, 13, 14, 13, 16, 14, 21 and 13 as the outcome. What is the median of the outcome?

  • Question 22
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    There are 60 cards printed with numbers from 1-60. What is the probability that a card drawn at random has a number printed on it, which is a multiple of 15?

  • Question 23
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    Three metal cubes having volumes 125 cubic cm, 64 cubic cm and 27 cubic cm are melted to form a new cube. Find the value of edge of the new cube.

  • Question 24
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    What is the measure of each exterior angle of a regular octagon?

  • Question 25
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    If p = and q = (r)-4, then find the value of p in terms of r.

  • Question 26
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    What will be the quotient if we divide (x2 - 9x - 10) by (x + 1)?

  • Question 27
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    Rajdeep offers a discount of 55% on his goods. How much percent the cost price of goods must be marked to make a profit of 12%?

  • Question 28
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    (73)2 - (27)2 is equal to

  • Question 29
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    The volume of a rectangular box is 25.14 m3. Find the length of the box if its width and height are 5 m and 2.3 m, respectively.

  • Question 30
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    How many non-perfect square numbers lie between the squares of 98 and 99?

  • Question 31
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    It is given that 6539203 = 4913 × 1331. What is the cube root of 6539203?

  • Question 32
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    Which of the following numbers is a perfect cube?

  • Question 33
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    If the cost price of 15 tables is equal to the selling price of 20 tables, then the loss percentage in the transaction is

  • Question 34
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    Vikram borrowed Rs. 5000 from Sumit for 2 years. Sameer borrowed Rs. 3000 from Sumit for 4 years. They paid Rs. 2200 in total at the same rate of interest. Calculate the rate of interest.

  • Question 35
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    Which among the following can definitely not be a square number?

  • Question 36
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    A person makes a profit of Rs. 800 by selling a product. If the person wants to double his profit, he will need to increase the SP (selling price) of the product by 20%. At what price did the person purchase the product?

  • Question 37
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    Ravi and Param were given a work to do. If they do the work together, they can finish it in 30 days. Param can do the same work in 40 days. How many days will Ravi take to complete the same work alone?

  • Question 38
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    Four friends planned a road trip from Ludhiana to Gurugram. They went there by car and the distance was 360 km. They took 4 stoppages of half an hour each. They started their journey at 7 a.m. in the morning and they reached Gurugram at 1 p.m. Find the speed of the car.

  • Question 39
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    Simplify: (y4 + 10y2 + 25) ÷ (y2 + 5)

  • Question 40
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    What is the result of [(2x - 6)(2x - 5) + (x + 6)(x - 5)]?

  • Question 41
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    If y2 + = 79, find the value of .

  • Question 42
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    Find the factors of a4 + 2a2b3 + b6.

  • Question 43
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    1200 participants are participating in a management quiz in a college which is going to last for 28 days. The organisers have arranged the food for all participants for next 4 weeks. After 4 days, 4teams were eliminated from the group stage, and these four teams left the venue after elimination. Now, the food is going to last long for 32 more days. How many participants left the venue after elimination?

  • Question 44
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    Bullet train covers 450 km in 2.5 hr. How long will it take to cover the same distance if its new speed is 30 km/hr less than the old speed?

  • Question 45
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    If , find the value of x.

  • Question 46
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    Directions For Questions

    Directions: Refer to the following graph while answering the question.

    ...view full instructions

    In a city, the temperature is rising. The graph shows the temperature from 6 a.m. to 2 p.m.

    What is the temperature difference from 8 a.m. to 11 a.m?

  • Question 47
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    Directions For Questions

    Directions: Refer to the following graph while answering the question.

    ...view full instructions

    Is temperature at 8 a.m. and 1 p.m. taken together less or more than the temperature at 4 p.m, and by how much?

  • Question 48
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    Directions For Questions

    Directions: Refer to the following graph while answering the question.

    ...view full instructions

    What is the temperature difference between maximum and minimum temperatures from 6 a.m. to 4 p.m?

  • Question 49
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    Directions For Questions

    Directions: Refer to the following graph while answering the question.

    ...view full instructions

    What would be the temperature at 8 p.m, if temperature is decreasing by 2°C after every 2 hr after 4 p.m?

  • Question 50
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    Directions For Questions

    Directions: Refer to the following graph while answering the question.

    ...view full instructions

    What is the scale taken for y-axis?

  • Question 51
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    Directions: Select the option that best punctuates the given sentence.

  • Question 52
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    Directions: In the following question, a sentence has been given in direct/indirect speech. Out of the four alternatives suggested, select the one which best expresses the same sentence in indirect/direct speech.

    The teacher said to the student, "Why were you absent yesterday?"

  • Question 53
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    Directions: In the following question, a sentence has been given in direct/indirect speech. Out of the four alternatives suggested, select the one which best expresses the same sentence in indirect/direct speech.

    My sister said, "They will contact you as soon as they finish the job."

  • Question 54
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    Directions: In the following question, a sentence has been given in Active/Passive Voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive/Active Voice.

    Do not insult the poor.

  • Question 55
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    Directions: In the following question, out of four alternatives, select the word similar in meaning to the word given.

    Transcend

  • Question 56
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    Directions: In the following question, out of four alternatives, select the word similar in meaning to the word given.

    Bogus

  • Question 57
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    Directions: Choose the alternative which best expresses the meaning of the below idiom/phrase.

    A laughing stock

  • Question 58
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    Directions: Out of the four alternatives, choose the correct antonym of the given word.

    Barren

  • Question 59
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    Directions: Choose the plural of the given word.

    Torpedo

  • Question 60
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    Directions: In the question, a part of the sentence may have an error. Find out which part of the sentence has an error. If there is no error, then choose (D) as your answer.

    I am counting (A) my calories, yet I (B) really wants to eat a dessert. (C) No error (D)

  • Question 61
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    Directions: In the given question, a sentence is divided into three parts (a), (b) and (c). One of these parts may have an error. Mark that part as your answer. If the sentence is correct as given, mark your answer as (d). (Ignore the errors of punctuation, if any.)

    He has flew (a) to New York without (b) informing anybody. (c) no error (d)

  • Question 62
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    Directions: Choose the correct order to make the sentence below meaningful.

    and tried to (1)/ and cities into great cultural centres (2)/ patronage to the (3)/ learned and pious (4)/ rulers offered (5)/ transform their capitals (6)

  • Question 63
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    Directions: Identify the correct idiom or phrase to complete the sentence.

    It is good to _________but not all the time.

  • Question 64
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    Directions: Find the prefix for the following word:

    Aware

  • Question 65
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    Directions: Complete the following maxim.

    An empty bag will not stand _____.

  • Question 66
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    Directions: The item consists of a sentence with an underlined word followed by four words. Select the word that is most nearly opposite in meaning to the underlined word.

    Thrifty as he is, he can well afford to live within his means.

  • Question 67
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    Directions: The item consists of a sentence with an underlined word followed by four words. Select the word that is most nearly opposite in meaning to the underlined word.

    Do not give him a responsible job, he is immature.

  • Question 68
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    Directions: The following item consists of a sentence with an underlined word followed by four words. Select the word that is nearest in meaning to the underlined word and mark your response.

    In spite of hard work, the farmers could only get a meagre yield.

  • Question 69
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    Directions: A sentence is given with an underlined word. It is followed by four words, one of which is closest to the opposite in meaning of the underlined word. Choose the word and indicate your response accordingly.

    In ancient India, scholars had no interest in political power or material growth.

  • Question 70
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    Directions: A sentence is given with an underlined word. It is followed by four words, one of which is closest to the opposite in meaning of the underlined word. Choose the word and indicate your response accordingly.

    A friendly dog met us at the farm gate.

  • Question 71
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    The adjective form of 'pride' is

  • Question 72
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    Directions For Questions

    Directions: Read the following passage and then answer the question.

    Even in the most primitive societies, the great majority of people satisfy a large part of their material needs by exchanging goods and services. Very few people indeed can make for themselves everything they need - all their food, their clothes, their housing, their tools. Ever since men started living in communities, they have been satisfying their needs by means of specialisation and exchange; increasingly each individual has concentrated on what he can do best, and has produced more of the special goods or services in which he has concentrated; than he can consume himself. The surplus he has exchanged with other members of the community, acquiring, in exchange the things he needs that others have produced.

    ...view full instructions

    Very few people can satisfy their needs today by

  • Question 73
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    Directions For Questions

    Directions: Read the following passage and then answer the question.

    Even in the most primitive societies, the great majority of people satisfy a large part of their material needs by exchanging goods and services. Very few people indeed can make for themselves everything they need - all their food, their clothes, their housing, their tools. Ever since men started living in communities, they have been satisfying their needs by means of specialisation and exchange; increasingly each individual has concentrated on what he can do best, and has produced more of the special goods or services in which he has concentrated; than he can consume himself. The surplus he has exchanged with other members of the community, acquiring, in exchange the things he needs that others have produced.

    ...view full instructions

    Exchange of goods becomes possible only when

  • Question 74
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    Directions For Questions

    Directions: Read the following passage and then answer the question.

    Even in the most primitive societies, the great majority of people satisfy a large part of their material needs by exchanging goods and services. Very few people indeed can make for themselves everything they need - all their food, their clothes, their housing, their tools. Ever since men started living in communities, they have been satisfying their needs by means of specialisation and exchange; increasingly each individual has concentrated on what he can do best, and has produced more of the special goods or services in which he has concentrated; than he can consume himself. The surplus he has exchanged with other members of the community, acquiring, in exchange the things he needs that others have produced.

    ...view full instructions

    Specialisation and exchange began when men started

  • Question 75
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    Directions For Questions

    Directions: Read the following passage and then answer the question.

    Even in the most primitive societies, the great majority of people satisfy a large part of their material needs by exchanging goods and services. Very few people indeed can make for themselves everything they need - all their food, their clothes, their housing, their tools. Ever since men started living in communities, they have been satisfying their needs by means of specialisation and exchange; increasingly each individual has concentrated on what he can do best, and has produced more of the special goods or services in which he has concentrated; than he can consume himself. The surplus he has exchanged with other members of the community, acquiring, in exchange the things he needs that others have produced.

    ...view full instructions

    Exchange of goods and services becomes necessary because

  • Question 76
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    _____ are a group of small bodies made up of rocks and metals which revolve around the sun.

  • Question 77
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    Ursa Major (Great Bear) constellation is also known as the

  • Question 78
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    For good growth of lentils and pulses, ___________ is required.

  • Question 79
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    Which of the following gases is used to control combustion?

  • Question 80
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    A gas is evolved in a reaction, which gives the smell of rotten eggs. Which of the following gases is evolved in this reaction?

  • Question 81
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    During skimming of milk, cream separates out. Which of the following statements is true about this process?

  • Question 82
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    Crude oil is a complex mixture of a large number of hydrocarbons. Name the process by which various hydrocarbons are separated.

  • Question 83
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    The heaviest isotope of hydrogen is tritium. How many particles are present in the nucleus of tritium?

  • Question 84
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    What is the arrangement of electrons in Thomson's model of an atom?

  • Question 85
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    Non-metals are poor conductors of electricity because of the absence of

  • Question 86
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    Bauxite is an ore of

  • Question 87
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    With which of the following types of water are soaps not effective as a cleansing agent?

  • Question 88
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    Which of the following gases is used for welding?

  • Question 89
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    Cell wall of a plant is composed of

  • Question 90
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    __________ is a non-membrane bound cell organelle.

  • Question 91
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    Which of the following are single-celled microorganisms?

    a. Viruses
    b. Bacteria
    c. Protozoa
    d. Fungi

  • Question 92
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    Which of the following is incorrect?

  • Question 93
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    When a ray of light goes from an optically rarer medium to a denser medium, it

  • Question 94
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    Which of the following devices converts mechanical energy into electrical energy?

  • Question 95
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    The S.I. unit of force is

  • Question 96
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    ______ is a hollow, circular device containing small metal balls which are fitted around the moving part of a machine.

  • Question 97
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    The solar cells that are present in calculators and satellites are ______ cells or modules.

  • Question 98
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    In which of the following is kinetic energy converted into electrical energy?

  • Question 99
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    Which disease affects humans as well as animals?

  • Question 100
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    A valuable tool for plant breeding and improvement of crop plants is

  • Question 101
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    How many members were there in the Simon Commission?

  • Question 102
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    Where was the first conference of Indian National Congress held?

  • Question 103
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    The young Sikh warrior who in the early 18th century Punjab led the resistance against the Mughal empire was

  • Question 104
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    Who produced the first steam engine that was later improved and patented in 1781?

  • Question 105
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    Which of the following battles established British rule in India?

  • Question 106
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    The First Carnatic War ended with the

  • Question 107
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    What was the name of the party started by Bose after he left the Congress in 1940 due to disagreement with Gandhi ji?

  • Question 108
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    The Revolt of 1857 started from

  • Question 109
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    The Lucknow Pact of 1916 was signed between the

  • Question 110
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    The Doctrine of Lapse policy was introduced by:

  • Question 111
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    The result of the Government of India Act of 1858 was:

  • Question 112
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    Who was the founder of Ramakrishna Mission?

  • Question 113
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    What was the name of the party founded by M. N. Roy?

  • Question 114
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    In which year did the Jallianwala Bagh massacre take place?

  • Question 115
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    In the interim government formed in 1946, the Vice President of the Executive Council was

  • Question 116
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    Mountbatten Plan (1947) was also called:

  • Question 117
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    There were _______ articles and ________ schedules in the Constitution when it came into force.

  • Question 118
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    Ministry of Social Justice and Empowerment deals with the welfare of

  • Question 119
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    The United Nations has its headquarters in

  • Question 120
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    Which Foreign Trade Policy is in circulation in India?

  • Question 121
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    The dam that is constructed with an objective of conservation of water with flood control is:

  • Question 122
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    Which among the following is correct about 'Tornado'?

  • Question 123
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    Which of the following is not a natural resource?

  • Question 124
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    Nagaland mountains are becoming increasing barren mountains, mainly due to

  • Question 125
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    Which of the following is the oldest range of fold mountains in India?

  • Question 126
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    Directions: In the following question, there is a certain relationship between the two terms given to the left of the sign (: :). The same relationship exists between the two terms to its right, out of which one is missing. Find the missing term from the given alternatives.

    RSQ : UVT : : XYW : ?

  • Question 127
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    Directions: In these questions pair of words/letters/numbers to the left/right of : : have certain relationship with each other. You are required to select the correct alternative so that similar relationship is established to the right/left of :

    BELL : AFKM : : DOOR : ?

  • Question 128
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    Directions: The following question consists of a pair of words which have a certain relationship with each other. Select one pair from the four given alternatives, which has the same relationship as the original pair of words.

    Arc : Circle

  • Question 129
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    Directions: In the following question, there is a certain relationship between two given terms on one side of (: :). One term is given on the other side of (: :), while another term is to be found from the given alternatives having the same relationship with this term as the terms of the given pair bear. Choose the best alternative.

    486 : 6 : : 774 : ___

  • Question 130
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    Directions: There is some relationship between the pair of numbers to the left of the sign (: :). The same relationship exists between the two terms to the right, of which one is missing. Find the missing one from the given alternatives.

    123 : 3 : : 426 : ___

  • Question 131
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    Directions: In each of the following questions, a series is given with one or two terms missing. Choose the correct alternative from the given options that will complete the series.

    2, 8, 18, 32, 50, __, 98, 128

  • Question 132
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    Directions: Complete the series.

    BD, GI, LN, QS, ?

  • Question 133
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    Choose the correct alternative that will continue the same pattern in the given series.

    128, 110, 90, ___, 44

  • Question 134
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    Directions: Find the missing letter out of the given choices after studying the relationship between the following letters.

    F I O
    A J K
    E M ?

  • Question 135
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    Which letter will replace the (?) question mark?

  • Question 136
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    What number should come in place of the question mark to complete the third figure?

  • Question 137
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    The position of Gursahib is 9thfrom the right and the total number of students in the row is 29. What is his position from the left?

  • Question 138
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    Amit is 24th from the left end and 6th from the right of Sumit. Anuj is 33rd from the right end. Sumit is exactly between Amit and Anuj.

    What is the total number of persons?

  • Question 139
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    I start from my home and go 2 km straight. Then, I turn towards my right and go 1 km. I turn again towards my right and go 1 km. If now I am north-west from my home, then in which direction did I start in the beginning?

  • Question 140
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    Raj walked 30 metres towards north. Then, he turned to his right and walked 20 metres. He then turned to his right again and walked 30 metres. Finally, he turned to his left and walked 20 metres.

    At what distance was he from the starting point?

  • Question 141
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    A can do of a piece of work in 8 days, while B can do of the same piece of work in 8 days. In how many days can both complete the work together?

  • Question 142
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    How many squares are there in the following figure?

  • Question 143
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    Directions: In the following question, four figures are given. Three of them are similar in some way, but one figure is unlike the other three. Select the figure which does not belong to the group.

  • Question 144
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    Directions: In the following question, arrange the given words in the sequence in which they occur in the dictionary and then choose the correct sequence.

    1. Repoint
    2. Reptile
    3. Repent
    4. Repute
    5. Report

  • Question 145
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    In a certain coding system, 'TEN' is coded as 256 and 'SIXTY' is coded as 19827. How will you code 'SIXTEEN' in this coding system?

  • Question 146
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    In a certain coding system, 'CAMEL' is coded as 25106, 'LION' is coded as 6793 and 'TIRE' is coded as 4780. How will you code 'ELITE' in this coding system?

  • Question 147
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    Today is 1st June. The day of the week is Sunday. If next year is a leap year, then what will be the day after 4 years on the same day?

  • Question 148
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    How many days are there from 2nd January, 1990 to 15th March, 1990?

  • Question 149
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    In the following question, from the given alternatives, select the word which cannot be formed using the letters of the given word.

    Suspensefulness

  • Question 150
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    If U means ÷, V means ×, W means + and X means -, then what will be the result of 15U5W7X10W2.5V10?

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