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NTSE - MAT-2017...

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  • Question 1
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    In the given sequence, some letters are missing. Which of the given options can fill the blanks in the correct order from left to right?

    ab_ab_aaa_bbaaa_bbbb

  • Question 2
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    Choose appropriate option from given alternatives such that the relationship defined by ':' is preserved.

    PNLJ : LIFC and VTRP : ______

  • Question 3
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    A cube is 6 cm in length, breadth and height. It is painted red on two opposite faces, black on the other two opposite faces and green on the leftover faces. It is then cut into 216 cubes of side 1 cm. How many small cubes have no face painted?

  • Question 4
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    Find the odd one out of the following terms:

    EF22, JK42, GH24, VW9O, 1J38

  • Question 5
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    If '∑' means 'x', 'δ' means '÷', 'σ' means '+' and '∝' means '–', then evaluate the following expression using standard operator precedence.

    56δ (6 σ 8) ∑4 ∝ 1

  • Question 6
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    With what mathematical operators should the symbols @ and < be replaced so that the following expressions is valid?

    100 – 81 ÷ 27 @ 3 < 6 = 115

  • Question 7
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    x is an integer such that it leaves a remainder of 2 when divided by 3, leaves a remainder of 3 when divided by 5, and leaves a remainder of 5 when divided by 7. What could be a possible value of x from among the following options?

  • Question 8
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    In how many ways can we distribute 10 identical balls into two non-identical boxes so that none of the boxes is empty?

  • Question 9
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    The following facts are known about an unknown number X:

    I. The sum of digits of X is 15.
    II. The units digit of X is 6.

    Which of the following statements is certainly true about X?

  • Question 10
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    The question below consists of statements labelled I and II. You have to decide whether the data provided in the statements is sufficient to answer the given question.

    The average age of A, B and C is 43 years. Which of the following statements is/are required to find the eldest among them?\

    Statements:
    I. Age of C is 65 years.
    II. Age of A is 25 years.

  • Question 11
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    Directions For Questions

    Directions: Read the following information and answer the given question.

    A class is to be taught five subjects – Hindi, Physics, Chemistry, Biology and Mathematics by five different teachers – A, B, C, D and E in five periods. A teacher can teach in only one of the periods. The following details are available about the teaching:

    * A teaches Mathematics, which is not taught in the first period.
    * Physics is taught by D in an even-numbered period.
    * Chemistry is taught in an odd period, and it precedes Mathematics period.
    * E teaches in the first period.
    * C teaches Chemistry, but not in the first or the last period.
    * Hindi is taught in the last period.

    ...view full instructions

    Which of the following statements is necessarily true?

  • Question 12
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    Directions For Questions

    Directions: Study the given information and answer the following question.

    A class is to be taught five subjects – Hindi, Physics, Chemistry, Biology and Mathematics - by five different teachers – A, B, C, D and E in five periods. A teacher can teach in only one of the periods. The following details are available about the teaching:

    * A teaches Mathematics, which is not taught in the first period.
    * Physics is taught by D in an even-numbered period.
    * Chemistry is taught in an odd-numbered period, and it precedes the Mathematics period.
    * E teaches in the first period.
    * C teaches Chemistry, but not in the first or the last period.
    * Hindi is taught in the last period.

    ...view full instructions

    Which subject is taught by B?

  • Question 13
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    What number should come in the place of M?

    16 7 2 20
    25 8 2 30
    36 9 5 24
    49 10 7 M

  • Question 14
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    Find the letter that will replace the question mark (?).

    I 2 2 3 1 5
    II 3 4 2 4 2
    III H P I ? Y

  • Question 15
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    A, B, C and D are to be seated in a row. C and D cannot be on adjacent seats. Also, B cannot be at the third place. Which of the following must be false?

  • Question 16
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    Directions For Questions

    Direction: Study the given information and answer the following question.

    Mrs. Kirandeep, a driving instructor, has to arrange a training schedule for some of her pupils. She has 8 new pupils who wish to book either a morning or an evening of a particular day. The appointment can be given for Tuesday, Wednesday, Friday and Saturday. The instructor instructs only one pupil in morning session and one in the evening session.

    * Mrs. Sabita is only available on Tuesday morning, but Mr. Aaditya can make any time on Wednesday.
    * Mrs. Firdaus is free on Tuesday all day, but Mr. Naved is only free on Wednesday evening.
    * Mrs. Seema is only available on Friday morning, whereas Mrs. Ritu can only make Saturday evening.
    * Mrs. Shalu is available all day on Friday, whereas Mr. Ronald can make any time on Saturday.

    ...view full instructions

    Which two of the following should have morning appointments?

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