Quiz about OPT. Mathematics Students

Question 1

1. For what value of m in y=f(x)= mx+c makes it a constant function?

Accepted Answer

0

Answer

1

Answer

-1

Answer

2

Question 2

3. The minimum value of y = sinx is .......

Accepted Answer

-1

Answer

1

Answer

0

Answer

-2

Question 3

5. If f(x) = a and g(x) = b then what is the value of g^bf(x)?

Accepted Answer

b

Answer

a

Answer

ab

Answer

bb

Question 4

6. If f(x) = x+a and g(x) = x then, what is the value of fog(x)?

Accepted Answer

x+a

Answer

x

Answer

a

Answer

x2

Question 5

7. If f = {(m, n), (a, b)} and g = {(n, a), (b, c)} then what is the value of gof(x)?

Accepted Answer

a, c

Answer

m, n

Answer

a,b

Answer

a,n

Question 6

8. If f(x) = 2x+3 and g(x) = 3x-1, find fog(1).

Accepted Answer

7

Answer

8

Answer

9

Answer

6

Question 7

9. Under what condition, the inverse function of a function is possible?

Accepted Answer

one to one onto function

Answer

one to one function

Answer

Inverse function

Answer

Composite function

Question 8

11. If g(x) = 2x-5 , find g^-1(x).

Accepted Answer

x+5/2

Answer

x-5/2

Answer

2x+5/4

Answer

2x+5

Question 9

12. If (x-a) is a factor of polynomial p(x) then p(a) = .........

Accepted Answer

0

Answer

1

Answer

a

Answer

x-a

Question 10

13. If p(b) = 0 then x-b is a ..............................of p(x).

Accepted Answer

factor

Answer

divisor

Answer

Quotient

Answer

dividend

Question 11

15. In a polynomial f(x), f(b/a) = 0, what will be its one of the factors?

Accepted Answer

x-b/a

Answer

x_a/b

Answer

x+b/a

Answer

a-x/b

Question 12

16. If polynomial f(x) = 4x³ - 3x² 3x - k is divided by (x-2), the remainder is 12. find the value of k.

Accepted Answer

14

Answer

15

Answer

16

Answer

17

Question 13

17. What is the sixth AM of AS whose firs term 'a' and common difference is 'd'?

Accepted Answer

a+6d

Answer

a+5d

Answer

a+7d

Answer

a+4d

Question 14

18. What is the sum of first n odd natural numbers?

Accepted Answer

n2

Answer

2n

Answer

n(n+1)/2

Answer

n2/2

Question 15

19. If eighth term of an AP is 44 and the common difference is 4. Find the seventh term.

Accepted Answer

40

Answer

42

Answer

48

Answer

45

Question 16

20. In the formula d = (b-a)/n+1 what does n represents?

Accepted Answer

No. of means

Answer

No. of terms

Answer

No. of AP

Answer

No. of AS

Question 17

21. Find the sum of 2+4+........................ 10 terms.

Accepted Answer

420

Answer

320

Answer

520

Answer

620

Question 18

22. If 2, k and 14 are in AP, Find the value of k.

Accepted Answer

8

Answer

9

Answer

12

Answer

10

Question 19

24. What is the common ratio of the sequence-1-3-9-................?

Accepted Answer

3

Answer

-2

Answer

-3

Answer

-4

Question 20

25. If m+2, m+8 and 17+m are in geometric sequence, find the value of m.

Accepted Answer

10

Answer

12

Answer

15

Answer

20

Question 21

29. The smooth curve obtained by the graph of a quadratic equation is called ...........

Accepted Answer

Parabola

Answer

Circle

Answer

Hyperbola

Answer

Elipse

Question 22

30. What is the coordinates of vertex of parabola whose equation is y = ax²?

Accepted Answer

(0,0)

Answer

(0,1)

Answer

(1,0)

Answer

(1,1)

Question 23

31. Find the co-ordinates of the vertex of a quadratic function y = x² + 2x - 3 ?

Accepted Answer

(-1,-4)

Answer

(1,1)

Answer

(1,-4)

Answer

(-4,-1)

Question 24

32. If the graph of a function can be drawn without lifting the pencil from the paper then it is called .............................

Accepted Answer

Continuity

Answer

Limit

Answer

Discontinuity

Answer

Function

Question 25

33. Which one of the following is continuity?

Accepted Answer

Growth of plant

Answer

Sound from drum beating

Answer

Number line of natural numbers

Answer

Number line of integers

Question 26

36. What do the (2,3] interval denote?

Accepted Answer

Left open

Answer

Right open

Answer

Open

Answer

Closed

Question 27

37. Which one is correct according to graph as shown in figure?

Accepted Answer

y= sinx

Answer

y = cosx

Answer

y = tanx

Answer

y= secx

Question 28

38. If left hand limit= right hand limit = functional value then function is .............

Accepted Answer

Continuity

Answer

Discontinuity

Answer

Both

Answer

None

Question 29

40. Under what condition, the system of simultaneous equation has no unique solution?

Accepted Answer

Value of determinant = 0

Answer

Value of determinant = 1

Answer

Value of determinant = -1

Answer

Value of determinant is less than 1

Question 30

41. If matrix A is a singular matrix, what is the determinant of A?

Accepted Answer

0

Answer

1

Answer

-1

Answer

None of above

Question 31

42. Which type of matrix is shown in alongside?

Accepted Answer

Identity Matrix

Answer

Zero Matrix

Answer

Null Matrix

Answer

Singular Matrid

Question 32

44. If matrix A = (m) then what is the value of $$\left|A\right|$$ ?

Accepted Answer

m

Answer

1

Answer

0

Answer

A

Question 33

46. If AB=BA=I then what types of matrices are A and B?

Accepted Answer

Inverse Matrix

Answer

Identity Matrix

Answer

Square Matrix

Answer

Column Matrix

Question 34

47. What type of equations can be solved by using Cramer's rule?

Accepted Answer

Simultaneous linear equation

Answer

Quadratic equation

Answer

Cubic equation

Answer

None of above

Question 35

48. What should be the formula to calculate x using Cramer's rule when D, D_x and d_y are given?

Accepted Answer

Dx/D

Answer

D/Dx

Answer

D/Dy

Answer

Dx/Dy

Question 36

50. Find the value of D using Cramer's rule from the equations : 2x+3y = 5 and x+y = 2.

Accepted Answer

-1

Answer

2

Answer

1

Answer

-2

Question 37

51. According to Cramer's rule, D=2, D_x = 8 and D_y = 6 then find the value of y.

Accepted Answer

3

Answer

6

Answer

4

Answer

1/3

Question 38

52. Find the values of D using Cramer's rule from the equations 3x+2y=1 and 7x+5y=4.

Accepted Answer

1

Answer

3

Answer

2

Answer

-1

Question 39

53. In the equations 3x+y=7 and x+2y=4, according to the Cramer's rule the value of D si 5, what is the value of x?

Accepted Answer

x=2

Answer

x =3

Answer

x = -1

Answer

x= 1

Question 40

54. In the grouped data, if the first quartile is 20 and the third quartile is 60, find the quartile deviation.

Accepted Answer

20

Answer

30

Answer

40

Answer

10

Question 41

55. In a continuous series, the first quartile is 45 and the quartile deviation is 8.5, what is the third quartile?

Accepted Answer

62

Answer

55

Answer

40

Answer

52

Question 42

56. By which methods, the standard deviation can be calculated?

Accepted Answer

All of the above

Answer

Direct Method

Answer

Actual Mean Method

Answer

Assumed Mean Method

Question 43

57. Mean Deviation can be calculate by using ..........................

Accepted Answer

Mean and Median

Answer

Standard Deviation

Answer

Mode

Answer

Mode

Question 44

60. If f(x) = 2x + 1, then, find ff(2).

Accepted Answer

11

Answer

10

Answer

12

Answer

15

Question 45

61. What is the degree of x³ + 4x² - 9?

Accepted Answer

3

Answer

2

Answer

5

Answer

0

Question 46

62. If x+1 is a factor of 2x³- kx² -8x + 5, find the value of k.

Accepted Answer

11

Answer

12

Answer

13

Answer

14

Question 47

63. What is the difference of degree of dividend and quotient in synthetic division method?

Accepted Answer

1

Answer

0

Answer

2

Answer

-1

Question 48

64. What is the degree of divisor in synthetic division method?

Accepted Answer

1

Answer

2

Answer

-1

Answer

0

Question 49

65. What is the meaning of 'a' in the formula t_n = a+(n-1)d?

Accepted Answer

First term

Answer

Last term

Answer

Third term

Answer

First mean

Question 50

66. What is the tenth term of GS whose ninth term is 27 and common ratio is 3?

Accepted Answer

81

Answer

9

Answer

72

Answer

27

Question 51

67. Find sum of 1+3+9+ ....................7 terms

Accepted Answer

1093

Answer

1024

Answer

1048

Answer

1092

Question 52

69. The vertex of parabola is ..................................................

Accepted Answer

(0,0)

Answer

(1,1)

Answer

(0,1)

Answer

X-axis

Question 53

70. From the graph of alongside, which is the correct value of x?

Accepted Answer

-1 and 3

Answer

-1 and 7

Answer

-1 and -3

Answer

3 and -1

Question 54

71. What is the first natural number?

Accepted Answer

1

Answer

0

Answer

10

Answer

11

Question 55

73. What is the value of 'm' in the equation y = mx + 3 to make it a constant function?

Accepted Answer

0

Answer

1

Answer

-1

Answer

3

Question 56

74. Determine the value of 'n' in the equation 2n - 5 = 7 to solve a linear equation.

Accepted Answer

6

Answer

7

Answer

8

Answer

9

Question 57

75. What is the determinant of a 3x3 Null matrix?

Accepted Answer

0

Answer

1

Answer

-1

Answer

3

Question 58

77. If f(x) = 3x - 11, find f^-1 (4).

Accepted Answer

5

Answer

4

Answer

6

Answer

7

Question 59

78. If the sum of two numbers is 15 and their difference is 3, what are the two numbers?

Accepted Answer

6, 9

Answer

7, 8

Answer

5, 10

Answer

4, 11

Question 60

79. If matrix A is a singular matrix, what is the determinant of A^T?

Accepted Answer

0

Answer

1

Answer

-1

Answer

None of above

Question 61

80. What is the sum of the first n even natural numbers?

Accepted Answer

n(n+1)

Answer

2n

Answer

n2

Answer

n2/2

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