#### 10th Public Exam March 2019 Important Creative One Mark Test

10th Standard

Reg.No. :
•
•
•
•
•
•

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