79590608 practice test 02 mathematical aptitude

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  • 8/2/2019 79590608 Practice Test 02 Mathematical Aptitude

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    Practice Test 02-Mathematical Aptitude

    Domain: Class X Test Code: TST2007AT204532631 Course:Admission Test

    Total Questions: 15 Total Time: 90 min. Maximum Marks: 55.0

    Section Details:

    Section 1

    Subjects: Class X Maths

    Topics: Polynomial, Arithmetic Progression, Linear Equation in Two variables, Mensuration, Trigonometry

    Total Questions: 10

    Section 2

    Subjects: Class X Maths

    Topics: General Topic, Arithmetic Progression, Linear Equation in Two variables, Mensuration

    Total Questions: 5

    Section 1Section Title: Section 1

    Total No. of

    Questions:10

    Subjects:Class X Maths

    1. If are the zeroes of polynomial then the value of is :

    (A). (B).

    (C). (D).

    CorrectAnswer

    B

    Explanation

    Now

    (Marks: 3.0, Negative Marks : 0.0).

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    2. If zeroes of are in AP, then

    (A). (B).

    (C). (D). None of these

    CorrectAnswer

    A

    Explanation

    Let are zeroes

    Now sum of all the roots

    is one zero of the polynomial

    Now replace byp

    (Marks: 3.0, Negative Marks : 0.0).

    3. If and represent coincident lines, then a and b satisfy the equation ?

    (A). (B).

    (C). (D).

    CorrectAnswer

    C

    Explanation

    We know that when lines are coincident lines then

    From (1) and (3)

    (Marks: 3.0, Negative Marks : 0.0).

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    Let denote the sum ofn terms of an AP whose first term is a. If common difference dis given by

    , then kis :

    (A). 1 (B). 2

    (C). 3 (D). None of these

    CorrectAnswer

    B

    Explanation

    (Marks: 3.0, Negative Marks : 0.0).

    5. If is the sum of an AP of 'n' odd number of terms and be the sum of the terms of series in odd places of

    the same AP then

    (A). (B).

    (C). (D).

    CorrectAnswer

    A

    Explanation

    Ratio

    (Marks: 3.0, Negative Marks : 0.0).

    Page 3 of 9

    4.

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    6. In an AP, . Then is equal to :

    (A). 0 (B).

    (C). (D). pq

    CorrectAnswer

    B

    Explanation

    ................. (i)

    ................... (ii)

    Solving (i) and (ii), we get ................... (iii)

    using (i), (iii)

    (Marks: 3.0, Negative Marks : 0.0).

    7. In an acute angled , if and . Then value ofA is :

    (A). 60 (B). 52.5

    (C). 67.5 (D). None of these

    CorrectAnswer

    A

    Explanation

    ............. (i)

    .................. (ii)

    We know, In ..................... (iii)

    Add (i), (ii) we get, B = 52.5, subtracting (i) from (ii), C-A = 7.5o ............... (iv)

    Subtracting (iii) and (iv) we get A = 60o

    (Marks: 3.0, Negative Marks : 0.0).

    8. If angleA, B, Cof form an increasingAP, then Sin B =

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    (A). (B).

    (C). 1 (D).

    Correct

    AnswerB

    Explanation

    Let

    Hence

    (Marks: 3.0, Negative Marks : 0.0).

    9. In a the value of is given by then the equation whose roots are sinA and tanA.

    is :

    (A). (B).

    (C). (D).

    Correct

    AnswerD

    Explanation

    (Marks: 3.0, Negative Marks : 0.0).

    10.The square root of is :

    (A). (B).

    (C). (D). None of these

    CorrectAnswer

    B

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    Explanation

    Square root of

    (Marks: 3.0, Negative Marks : 0.0).

    Section 2Section Title: Section 2

    Total No. of

    Questions:5

    Subjects:Class X Maths

    11.The value of : is :

    (A). 1 (B). 0

    (C). 0.1 (D). None of these

    CorrectAnswer

    C

    Explanation

    (Marks: 5.0, Negative Marks : 0.0).

    12.In the system of equations the value ofxyis :

    (A). (B).

    (C). (D). 1

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    CorrectAnswer

    B

    Explanation

    Case (i) Case (ii)

    (Marks: 5.0, Negative Marks : 0.0).

    13. In the diagram if pointsA, B, Care points of tangency. Assume system is symmetrical about CD and thehorizontal lines are parallel. The value ofx is :

    (A). (B).

    (C). (D). None of these

    CorrectAnswer

    C

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    Explanation

    OC = 3 / 16

    (Marks: 5.0, Negative Marks : 0.0).

    14. Two equal parallel chords are drawn 8cm apart in a circle of radius 8cm. The area of that part of the circle thatlies between the chords is :

    (A). (B).

    (C). (D). None of these

    CorrectAnswer

    A

    Explanation

    In

    [using ]

    Hence

    Area of shaded region

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    [ here two symmetric regions exist]

    Area ofABCD portion =

    (Marks: 5.0, Negative Marks : 0.0).

    15. The value of is :

    (A). (B).

    (C). (D). None of these

    CorrectAnswer

    B

    Explanation

    (Marks: 5.0, Negative Marks : 0.0).

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