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∪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 \(\times\) 105

    (b)

    0.6 \(\times\) 104

    (c)

    0.9871

    (d)

    125.4 \(\times\) 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)

    Less than one

  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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