Free Online Test Creative 1 Mark Questions with Answer Key Part - 3

10th Standard

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Maths

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

    Part A

    20 x 1 = 20
  1. The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________

    (a)

    37

    (b)

    39

    (c)

    35

    (d)

    36

  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. 44 ≡ 8 (mod12), 113 ≡ 85 (mod 12), thus 44 x 113 ≡______(mod 12):

    (a)

    4

    (b)

    3

    (c)

    2

    (d)

    1

  4. The first term of an A.P. whose 8th and 12th terms are 39 and 59 respectively is ____________

    (a)

    5

    (b)

    6

    (c)

    4

    (d)

    3

  5. 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

  6. \(\frac { { x }^{ 2 }+7x12 }{ { x }^{ 2 }+8x+15 } \times \frac { { x }^{ 2 }+5x }{ { x }^{ 2 }+6x+8 } =\_ \_ \_ \_ \_ \_ \_ \_ \_ \)

    (a)

    x+2

    (b)

    \(\frac { x }{ x+2 } \)

    (c)

    \(\frac { 35{ x }^{ 2 }+60x }{ { 48x }^{ 2 }+120 } \)

    (d)

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

  7. If \(2A+3B=\left[ \begin{matrix} 2 & -1 & 4 \\ 3 & 2 & 5 \end{matrix} \right] \) and \(A+2B=\left[ \begin{matrix} 5 & 0 & 3 \\ 1 & 6 & 2 \end{matrix} \right] \) then B = [hint: B = (A+2B)-(2+3B)]

    (a)

    \(\left[ \begin{matrix} 8 & -1 & -2 \\ -1 & 10 & -1 \end{matrix} \right] \)

    (b)

    \(\left[ \begin{matrix} 8 & -1 & 2 \\ -1 & 10 & -1 \end{matrix} \right] \)

    (c)

    \(\left[ \begin{matrix} 8 & 1 & 2 \\ -1 & 10 & -1 \end{matrix} \right] \)

    (d)

    \(\left[ \begin{matrix} 8 & 1 & 2 \\ 1 & 10 & 1 \end{matrix} \right] \)

  8. If ABC is a triangle and AD bisects A, AB = 4cm, BD = 6cm, DC = 8cm then the value of AC is ____________

    (a)

    \(\frac { 16 }{ 3 } cm\)

    (b)

    \(\frac { 32 }{ 3 } cm\)

    (c)

    \(\frac { 3 }{ 16 } cm\)

    (d)

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

  9. In the given figure if OC = 9 cm and OB = 15 cm then OB + BD is equal to ____________

    (a)

    23 cm

    (b)

    24 cm

    (c)

    27 cm

    (d)

    30 cm

  10. Find the equation of the line passing the point which is parrallel to the y axis (5, 3) is ____________

    (a)

    y = 5

    (b)

    y = 3

    (c)

    x = 5

    (d)

    x = 3

  11. In a right angle triangle, right angled at B, if the side BC is parallel to x axis, then the slope of AB is ___________

    (a)

    \(\sqrt { 3 } \)

    (b)

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

    (c)

    1

    (d)

    not defined

  12. If cos (∝ - β) =, then sin (∝ - β)  can be reduced to ___________

    (a)

    cos β

    (b)

    cos 2β

    (c)

    sin ∝

    (d)

    sin 2∝

  13. The value of the expression \(\left[ \frac { { sin }^{ 2 }{ 22 }^{ o }+{ sin }^{ 2 }{ 68 }^{ o } }{ { cos }^{ 2 }{ 22 }^{ 0 }+{ cos }^{ 2 }{ 68 }^{ 0 } } +{ sin }^{ 2 }{ 63 }^{ o+ }{ cos }63^{ 0 }{ sin27 }^{ 0 } \right] \)is ___________

    (a)

    3

    (b)

    2

    (c)

    1

    (d)

    0

  14. 9 sec2A  - 9tan2A = ___________

    (a)

    1

    (b)

    9

    (c)

    8

    (d)

    0

  15. How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius cm?

    (a)

    64

    (b)

    216

    (c)

    512

    (d)

    16

  16. The ratio of the volumes of two spheres is 8 : 27. If r and R are the radii of sphere respectively, Then (R - r) : r is ___________

    (a)

    1:2

    (b)

    1:3

    (c)

    2:3

    (d)

    4:9

  17. A solid is hemispherical at the bottom and conical above. If the curved surface areas of the two parts are equal, then the ratio of its radius and the height of its conical part is ___________

    (a)

    1:3

    (b)

    \(1:\sqrt { 3 } \)

    (c)

    1:1

    (d)

    \(\sqrt { 3 } :1\)

  18. which of the following is true?

    (a)

    0 ≤ p(∈) ≤ 1

    (b)

    p(∈) > 1

    (c)

    p(∈) < 0

    (d)

    \(-\frac { 1 }{ 2 } \ge P(\in )\le \frac { 1 }{ 2 } \)

  19. A nuber x is chosen at random drom -4, -3, -2, -1, 0, 1, 2, 3, 4. The probability that \(\left| x \right| \le 3\) is ___________

    (a)

    \(\frac { 3 }{ 9 } \)

    (b)

    \(\frac { 4 }{ 9 } \)

    (c)

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

    (d)

    \(\frac { 7 }{ 9 } \)

  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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