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10th Public Exam March 2019 Important Creative One Mark Test

10th Standard

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Maths

Time : 00:30:00 Hrs
Total Marks : 40
    40 x 1 = 40
  1. The union of all the subsets of a set is____________

    (a)

    Universal set

    (b)

    Singleton set

    (c)

    null set

    (d)

    power set

  2. In a hostel, there are 100 students. 70 can speak Tamil, 60 can speak Hindi, How many speak both?

    (a)

    10

    (b)

    30

    (c)

    130

    (d)

    20

  3. The pre-images of 5 under the function f = {(2, -5), (3, 5), (4, -5), (5, 5)} is________

    (a)

    2 & 3

    (b)

    3 & 4

    (c)

    3 & 5

    (d)

    2 & 4

  4. If f: Z Z be defined by f(x) =-x then f is_______

    (a)

    constant function

    (b)

    bijective

    (c)

    identity

    (d)

    not a function

  5. The sequence 7, 2, -3, -8, ... is ____________

    (a)

    an A.P.

    (b)

    a G.P.

    (c)

    both A.P. and G.P.

    (d)

    neither A.P. nor G.P.

  6. The common difference of the A.P. \(\frac { 1 }{ 6 } ,\frac { 1 }{ 3 } ,\frac { 5 }{ 6 } \) is ______________

    (a)

    \(\frac { 1 }{ 3 } \)

    (b)

    \(\frac { 1 }{ 6 } \)

    (c)

    \(\frac { 1 }{ 2 } \)

    (d)

    \(\frac { 1 }{ 4 } \)

  7. Find a,b such that 18, a, b, -3 are in A.P. _____________

    (a)

    11, 4

    (b)

    8, 4

    (c)

    11, 2

    (d)

    7, 10

  8. Which term of the G.P. 5, 10, 20, ....is 5120? ______________

    (a)

    51

    (b)

    20

    (c)

    10

    (d)

    11

  9. The common difference of the A.P. a+b, a-b, a-3b, ..... is ______________

    (a)

    a

    (b)

    -b

    (c)

    2a

    (d)

    -2b

  10. If \(\frac { 2 }{ 3 } ,k,\frac { 5 }{ 8 } \)  are in A.P., then the value of k is ______________

    (a)

    \(\frac { 2 }{ 3 } \)

    (b)

    \(\frac { 5 }{ 8 } \)

    (c)

    \(\frac { 31 }{ 24 } \)

    (d)

    \(\frac { 31 }{ 48 } \)

  11. If t1 = n, t2 = n+1, t3 = n+2, and so on, then tn = ____________

    (a)

    n

    (b)

    2n-1

    (c)

    2n+1

    (d)

    2n

  12. If x+y=8 and x-y=6, the value of x will be___________

    (a)

    5

    (b)

    6

    (c)

    7

    (d)

    14

  13. If 4x+9y=60 and 4x+y=28, the value of y will be___________.

    (a)

    1

    (b)

    2

    (c)

    3

    (d)

    4

  14. Padma (x) is 3 years elder to Radha (y). The equation connecting them is______.

    (a)

    x+y=3

    (b)

    x=y+3

    (c)

    x+3=y

    (d)

    None of these

  15. If two lines intersect at one point, then the given system of equations are_________.

    (a)

    Consistent with unique solution

    (b)

    Consistent with many solutions

    (c)

    Inconsistent

    (d)

    None of these

  16. The square root of x2-4x+4 is__________.

    (a)

    \(\left|(x+2)\right|\)

    (b)

    \(\left|(x-2)\right|\)

    (c)

    \(\left|(x+4)\right|\)

    (d)

    \(\left|(x-4)\right|\)

  17. Simplify \(\sqrt{225(a+b)^2}=\)_________.

    (a)

    25 (a+b)

    (b)

    15 (a+b)

    (c)

    15 (a+b)2

    (d)

    25 (a+b)2

  18. If the slope of the line joining (-6, 13) and (3, a) is \(\frac{-1}{3}\) then the value of a is ____________.

    (a)

    5

    (b)

    -10

    (c)

    -5

    (d)

    10

  19. The area of a triangle formed by the points (0, 4), (4, 0) and origin is __________.

    (a)

    8 sq. units

    (b)

    16 sq. units

    (c)

    2 sq.units

    (d)

    4 sq.units

  20. (2, 1) is the point of intersection of the two lines _________.

    (a)

    x - y = 3, 3x - y = 7

    (b)

    x + y = 3, 3x + y = 7

    (c)

    3x + y = 3, x + y = 7

    (d)

    x + 3y = 3, x - y = 7

  21. Slope of the line 2x + 3y + 6 = 0 is ______________.

    (a)

    \(\frac{2}{3}\)

    (b)

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

    (c)

    -2

    (d)

    \(\frac{1}{2}\)

  22. If the points (1, -1), (2, 1) and (4, x) lie on a line, then x is __________.

    (a)

    1

    (b)

    2

    (c)

    4

    (d)

    5

  23. In ΔABC, AD is median and also bisects ㄥA. If AB = 16 cm, BC = 8 cm, then AC=

    (a)

    \(\left( \sqrt { 4 } \right) ^{ 2 }\)

    (b)

    8

    (c)

    42

    (d)

    2

  24. Triangles ABC and DEF are similar, as shown 'in the figure. The area of ΔABC is 16 sq. cm and that of ΔDEF 25 sq. cm, then EF= _____

    (a)

    3.5 cm

    (b)

    2.5 cm

    (c)

    3.125 cm

    (d)

    4 cm

  25. The length of the diagonal of square is 4\(\sqrt { 2 } \) m. The length of .its side is ________

    (a)

    6 m

    (b)

    4 m

    (c)

    8 m

    (d)

    2\(\sqrt { 2 } \) m

  26. The angle of elevation of the top of a tower 30m high from a distance of 30m from its foot is

    (a)

    30°

    (b)

    45°

    (c)

    60°

    (d)

    45°

  27. sin4θ-cos4θ=____________

    (a)

    2sin2θ-1

    (b)

    2cos2θ-1

    (c)

    2sin2θ+1

    (d)

    2cos2θ+1

  28. If cot x = 1, then tan x + cotx =___________

    (a)

    1

    (b)

    0

    (c)

    2

    (d)

    \(\frac{1}{2}\)

  29. \(\frac { cot\left( 90°-\theta \right) sin\left( 90°-\theta \right) }{ cos\left( 90°-\theta \right) } \)=____________

    (a)

    0

    (b)

    √2

    (c)

    2

    (d)

    1

  30. The value of x if cos2x=sin600·cos300-co.s600·sin300 is____________

    (a)

    15°

    (b)

    30°

    (c)

    45°

    (d)

    60°

  31. \(\frac{1}{tan\theta+cot\theta}\)=____________

    (a)

    sinθ+cosθ

    (b)

    sinθcosθ

    (c)

    sinθ-cosθ

    (d)

    cosecθ+cotθ

  32. If a rectangle of length 8cm and breath 4cm is folded by bringing their breaths together to form a cylinder, then the height of the cylinder thus formed is ______

    (a)

    6cm

    (b)

    2cm

    (c)

    8cm

    (d)

    4cm

  33. The volume of a cylinder is 60 cm. The volume of a cone whose height and radius are same as those of the cylinder is _______

    (a)

    20cm2

    (b)

    20cm2

    (c)

    80cm2

    (d)

    60cm2

  34. The variance of 5 values is 9. If each value is doubled, then the standard deviation of the new values is _____________

    (a)

    9

    (b)

    18

    (c)

    15

    (d)

    6

  35. The standard deviation of 8 observations is 25. If each value is diminished by 3 then the new S.D. is ___________

    (a)

    25

    (b)

    8

    (c)

    28

    (d)

    75

  36. The mean of 50 items is 40. It was later found that 2 numbers 13 and 27 were wrongly counted as 30 and 70. Find the correct mean.

    (a)

    38.8

    (b)

    30.8

    (c)

    70.5

    (d)

    45.5

  37. A and B are two events then P(A) is__________________________ 

    (a)

    P(A\(\cap\)B')+P(A\(\cap\)B)

    (b)

    P(A'\(\cap\)B)+P(A\(\cap\)B)

    (c)

    P(A\(\cap\)B')-P(A\(\cap\)B)

    (d)

    P(A'\(\cap\)B)-P(A\(\cap\)B)

  38. P(A)=0.5,P(B)=0.6 and P(A\(\cap\)B)=0.24, then P(\(\bar{A}\cup\bar{B}\))=_______________________

    (a)

    0.76

    (b)

    1

    (c)

    0.64

    (d)

    0

  39. The probability of getting exactly 2 Tails on tossing 2 coins is _______________

    (a)

    \(1\over 4\)

    (b)

    \(2\over 4\)

    (c)

    \(3\over 4\)

    (d)

    0

  40. The probability of getting a doublet on throwing 2 dice is ___________

    (a)

    \(1\over 4\)

    (b)

    \(1\over 6\)

    (c)

    \(2\over 3\)

    (d)

    1

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