Free Online Test Creative 1 Mark Questions Part - Two

10th Standard

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Maths

Time : 00:20:00 Hrs
Total Marks : 20

    Part A

    20 x 1 = 20
  1. If f(x) = x + 1 then f(f(f(y + 2))) is ___________

    (a)

    y + 5

    (b)

    y + 6

    (c)

    y + 7

    (d)

    y + 9

  2. If f is identify function, then the value of f(1) - 2f(2) + f(3) is: 

    (a)

    -1

    (b)

    -3

    (c)

    1

    (d)

    0

  3. In the arithemetic series Sn = k + 2k + 3k +...+ 100, k is positive integer and k is a factor 100 then Sn is ____________

    (a)

    \(1000\frac { 10 }{ k } \)

    (b)

    \(5000\frac { 50 }{ k } \)

    (c)

    \(\frac { 1000 }{ k } +10\)

    (d)

    \(\frac { 5000 }{ k } +50\)

  4. In an A.P if the pth term is q and the qth term is p, then its nth term is ____________

    (a)

    p+q-n

    (b)

    p+q+n

    (c)

    p-q+n

    (d)

    p-q-n

  5. Which of the following is correct
    (i) Every polynomial has finite number of multiples
    (ii) LCM of two polynimials of degree 2 may be a constant
    (iii) HCF of 2 polynomials may be constant
    (iv) Degree of HCF of two polynomials is always less then degree of LCM

    (a)

    (i) and (ii)

    (b)

    (iii) and (iv)

    (c)

    (iii) only

    (d)

    (iv) only

  6. If \(\frac { p }{ q } =a\) then \(\frac { { p }^{ 2 }+{ q }^{ 2 } }{ { p }^{ 2 }-{ q }^{ 2 } } \) ___________

    (a)

    \(\frac { { a }^{ 2 }+1 }{ { a }^{ 2 }-1 } \)

    (b)

    \(\frac { 1+{ a }^{ 2 } }{ 1-{ a }^{ 2 } } \)

    (c)

    \(\frac { 1-{ a }^{ 2 } }{ 1-{ +a }^{ 2 } } \)

    (d)

    \(\frac { { a }^{ 2 }-1 }{ { a }^{ 2 }+1 } \)

  7. The parabola y = -3x2 is ___________

    (a)

    Open upward

    (b)

    Open downward

    (c)

    Open rightward

    (d)

    Open leftward

  8. If \(A=\left[ \begin{matrix} 1 & 2 \\ 3 & 4 \\ 5 & 6 \end{matrix} \right] _{ 3\times 2 }\) \(B=\left[ \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{matrix} \right] _{ 2\times 3 }\) then which of the following products can be made from these matrices 
    (i) A2
    (ii) B2
    (iii) AB
    (iv) BA

    (a)

    (i) only

    (b)

    (ii) and (iii) only

    (c)

    (iii) and (iv) only

    (d)

    all the above

  9. The ratio of the areas of two similar triangles is equal to ____________

    (a)

    The ratio of their corresponding sides

    (b)

    The cube of the ratio of theri corresponding sides

    (c)

    The ratio of theri corresponding attitudes

    (d)

    The square of the ratio of their corresponding sides

  10. A line which intersects a circle at two distinct points ic called ____________

    (a)

    Point of contact

    (b)

    sccant

    (c)

    diameter

    (d)

    tangent

  11. Three circles are drawn with the vertices of a triangle as centres such that each circle touches the other two if the sides of the triangle are 2cm,3cm and 4 cm. find the diameter of the smallest circle.

    (a)

    1 cm

    (b)

    3 cm

    (c)

    5 cm

    (d)

    4 cm

  12. If the mid-point of the line segment joining \(A\left( \frac { x }{ 2 } ,\frac { y+1 }{ 2 } \right) \) and B(x + 1, y-3) is C(5, -2) then find the values of x, y ____________

    (a)

    (6, -1)

    (b)

    (-6, 1)

    (c)

    (-2, 1)

    (d)

    (3, 5)

  13. Find the value of 'a' if the lines 7y = ax + 4 and 2y = 3 - x are parallel

    (a)

    \(\frac { 7 }{ 2 } \)

    (b)

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

    (c)

    \(\frac { 2 }{ 7 } \)

    (d)

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

  14. The angle of elevation of a cloud from a point h metres above a lake is b. The angle of depression of its reflection in the lake is 45o. The height of location of the cloud from the lake is ___________

    (a)

    \(\frac { h(1+tan\beta ) }{ 1-tan\beta } \)

    (b)

    \(\frac { h(1-tan\beta ) }{ 1+tan\beta } \)

    (c)

    h tan(45o- β)

    (d)

    None of these

  15. The value of the expression [cosec (75+ θ) - sec (15- θ) - tan (55+ θ) + cot(35- θ] is ___________

    (a)

    -1

    (b)

    0

    (c)

    1

    (d)

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

  16. If sin A + sin2A = 1, then the value of the expression (cos2A + cos4A) is ___________

    (a)

    1

    (b)

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

    (c)

    2

    (d)

    3

  17. If cos θ + cos2θ = 3 then tan2θ + cot2θ is equal to ___________

    (a)

    4

    (b)

    7

    (c)

    6

    (d)

    9

  18. A cylinder 10 cone and have there are of a equal base and have the same height. what is the ratio of there volumes?

    (a)

    3:1:2

    (b)

    3:2:1

    (c)

    1:2:3

    (d)

    1:3:2

  19. A number x is chosen at random from -4, -3, -2, -1, 0, 1, 2, 3, 4 find the probability that |x| ≤ 4

    (a)

    0

    (b)

    1

    (c)

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

    (d)

    \(\frac{1}{9}\)

  20. A box contains some milk chocalates and some coco chocolates and there are 60 choolates in the box. If the probability of taking a milk chocolate is \(\frac { 2 }{ 3 } \) then the number of coco chocolates is ___________

    (a)

    40

    (b)

    50

    (c)

    20

    (d)

    30

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