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All Chapter 1 Marks

9th Standard

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Maths

Time : 00:30:00 Hrs
Total Marks : 30
    Answer All The Following Question:
    30 x 1 = 30
  1. If U ={x | x ∈ N, x < 10} and A = {x | x ∈ N, 2 ≤ x < 6} then (A′)′ is

    (a)

    {1, 6, 7, 8, 9}

    (b)

    {1, 2, 3, 4}

    (c)

    {2, 3, 4, 5}

    (d)

    { }

  2. If U={x:x\(\in \)N and x<10}, A={1, 2, 3, 5, 8} and B={2, 5, 6, 7, 9}, then \(n\{ (A\cup B)'\} \) is

    (a)

    1

    (b)

    2

    (c)

    4

    (d)

    8

  3. Which of the following is true?

    (a)

    \(\left( A\cup B \right) =B\cup A\)

    (b)

    \({ \left( A\cup B \right) }^{ ' }{ A }^{ ' }{ -B }^{ ' }\)

    (c)

    \({ \left( A\cap B \right) }^{ ' }={ A }^{ ' }\cap { B }^{ ' }\)

    (d)

    \(A-\left( B\cap C \right) =\left( A-B \right) \cap \left( A-C \right) \)

  4. \(n(A\cup B\cup C)\)=________

    (a)

    n(A) + n(B) + n(C)

    (b)

    n(A) + n(b) + n(C) -\(n\left( A\cap B\cap C \right) \)

    (c)

    \(n\left( A\cap B\cap C \right) \)

    (d)

    n(A) + n(B) + n(C) -\(n\left( A\cap B \right) \)-\(n\left( B\cap A \right) -n\left( A\cap C \right) +n\left( A\cap B\cap C \right) \)

  5. Which one of the following, regarding sum of two irrational numbers, is true?

    (a)

    always an irrational number

    (b)

    may be a rational or irrational number

    (c)

    always a rational number

    (d)

    always an integer.

  6. The value of \(\bar { 0.03 } \) +\(\bar { 0.03 } \)  is ___________.

    (a)

    \(\bar { 0.09 } \)

    (b)

    \(\bar { 0.09 } \)

    (c)

    \(\bar { 0.09 } \)

    (d)

    0

  7. \(\sqrt{27}\)+\(\sqrt{12}\)=

    (a)

    \(\sqrt{39}\)

    (b)

    5\(\sqrt{6}\)

    (c)

    5\(\sqrt{3}\)

    (d)

    3\(\sqrt{5}\)

  8. Which is the best example of a number written in scientific notation?

    (a)

    2.71 X 105

    (b)

    0.6 X 104

    (c)

    0.9871

    (d)

    125.4 X 104

  9. GCD of any two prime numbers is __________

    (a)

    -1

    (b)

    0

    (c)

    1

    (d)

    2

  10. If x - 2 is a factor of q(x), then the remainder is___________

    (a)

    q(-2)

    (b)

    x - 2

    (c)

    0

    (d)

    -2

  11. (a-b) (a2+ab+b2)=_________

    (a)

    a+ b+ c- 3abc

    (b)

    a- b2

    (c)

    a+ b3

    (d)

    a3 - b3

  12. Which of the following statement is true for the equation 2x + 3y = 15

    (a)

    the equation has unique solution

    (b)

    the equation has two solution

    (c)

    the equation has no solution

    (d)

    the equation has infinite solutions

  13. In the quadrilateral ABCD, AB = BC and AD = DC Measure of ∠BCD is

    (a)

    150°

    (b)

    30°

    (c)

    105°

    (d)

    72°

  14. The point of concurrency of the medians of a triangle is known as __________

    (a)

    circumcentre

    (b)

    incentre

    (c)

    orthocentre

    (d)

    centroid

  15. Orthocentre of a triangle is the point of concurrency of _______

    (a)

    medians

    (b)

    altitudes

    (c)

    angle bisectors

    (d)

    perpendicular bisectors of side

  16. In the figure, ABCD is a cyclic quadrilateral in which DC produced to E and CF is drawn parallel to AB such that ㄥADC=80° and ㄥECF=20°, then ㄥBAD=?

    (a)

    100°

    (b)

    20°

    (c)

    120°

    (d)

    110°

  17. The distance between the two points ( 2, 3 ) and ( 1, 4 ) is ______

    (a)

    2

    (b)

    \(\sqrt { 56 } \)

    (c)

    \(\sqrt { 10 } \)

    (d)

    \(\sqrt { 2 } \)

  18. The point which is on y-axis with ordinate - 5 is _____________

    (a)

    (0, - 5)

    (b)

    (-5,0)

    (c)

    (5,0)

    (d)

    (0,5)

  19. The diagonal of a square formed by the points (1, 0), (0, 1), (-1, 0) and (0, - 1) is_______________

    (a)

    2

    (b)

    4

    (c)

    \(\sqrt{2}\)

    (d)

    8

  20. If \(P(\frac{a}{3},\frac{b}{2})\)is the mid-point of the line segment joining A(−4,3) and B(−2,4) then (a,b) is

    (a)

    (-9, 7)

    (b)

    \((-3, \frac{7}{2})\)

    (c)

    (9, -7)

    (d)

    \((3, -\frac{7}{2})\)

  21. For which set of numbers do the mean, median and mode all have the same values?

    (a)

    2,2,2,4

    (b)

    1,3,3,3,5

    (c)

    1,1,2,5,6

    (d)

    1,1,2,1,5

  22. The mean of 5, 9, x, 17, and 21 is 13, then find the value of x

    (a)

    9

    (b)

    13

    (c)

    17

    (d)

    21

  23. Let be the mid point and b be the upper limit of a class in a continuous frequency distribution.The lower limit of the class is

    (a)

    2m-b

    (b)

    2m+b

    (c)

    m-b

    (d)

    m-2b

  24. For which set of number do the mean,median and mode all have the same valuas?

    (a)

    2,2,2,4

    (b)

    1,3,3,3,5

    (c)

    1,1,2,5,6

    (d)

    1,1,2,1,5

  25. The value of 2tan30° tan60° is

    (a)

    1

    (b)

    2

    (c)

    \(2\sqrt { 3 } \)

    (d)

    6

  26. The value of \(\frac { sin{ 29 }^{ 0 }31' }{ cos{ 60 }^{ 0 }29' } \) is

    (a)

    0

    (b)

    2

    (c)

    1

    (d)

    -1

  27. The semi-perimeter of a triangle having sides 15 cm, 20 cm and 25 cm is

    (a)

    60 cm

    (b)

    45 cm

    (c)

    30 cm

    (d)

    15 cm

  28. If the ratio of the sides of two cubes are 2:3, then ratio of their surface areas will be

    (a)

    4 : 6

    (b)

    4 : 9

    (c)

    6 : 9

    (d)

    16 : 36

  29. The probability of all possible outcomes of a random experiment is always equal to

    (a)

    One

    (b)

    Zero

    (c)

    Infinity

    (d)

    All of the above

  30. The six faces of the dice are called equally likely if the dice is

    (a)

    Small

    (b)

    Fair

    (c)

    Six-faced

    (d)

    Round

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