Quizsummary
0 of 68 questions completed
Questions:
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
Information
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to pass the previous Module's quiz in order to start this quiz
Results
Results
0 of 68 questions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 points, (0)
Earned Points: 0 of 0, (0)
0 Essay(s) Pending (Possible Points: 0)
Categories
 Not categorized 0%
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 Answered
 Review

Question 1 of 68
1. Question
If then
CorrectIncorrect 
Question 2 of 68
2. Question
If a force is acting at the point P(1, −1, 3) then the moment of about the point Q(2, −1, 3) is
CorrectIncorrect 
Question 3 of 68
3. Question
If are three nonzero vectors such that then the value of is
CorrectIncorrect 
Question 4 of 68
4. Question
If ^{15}P_{r–1} : ^{16}P_{r – 2 }= 3 : 4, then r is equal to
CorrectIncorrect 
Question 5 of 68
5. Question
The number of triangles can be drawn through n given points on a circle is
CorrectIncorrect 
Question 6 of 68
6. Question
A polygon has 54 diagonals. Number of sides of this polygon is
CorrectIncorrect 
Question 7 of 68
7. Question
is equal to
CorrectIncorrect 
Question 8 of 68
8. Question
CorrectIncorrect 
Question 9 of 68
9. Question
is equal to
CorrectIncorrect 
Question 10 of 68
10. Question
The number of ways 6 rings of different types can be had in four fingers, is
CorrectIncorrect 
Question 11 of 68
11. Question
is equal to
CorrectIncorrect 
Question 12 of 68
12. Question
is equal to
CorrectIncorrect 
Question 13 of 68
13. Question
then f ‘(x) is equal to
CorrectIncorrect 
Question 14 of 68
14. Question
The area bounded by the curve y = 2x – x^{2} and the straight line y = −x is
CorrectIncorrect 
Question 15 of 68
15. Question
The area bounded by the curve y = x sin x and the xaxis between x = 0 and x = 2π is
CorrectIncorrect 
Question 16 of 68
16. Question
The solution of the equation is
CorrectIncorrect 
Question 17 of 68
17. Question
The solution of (x + y) dx + (y – x)dy= 0 is
CorrectIncorrect 
Question 18 of 68
18. Question
The solution of is
CorrectIncorrect 
Question 19 of 68
19. Question
If (x^{2} – ay) – (ax – y^{2}) dy = 0 and y(0) = 0, then
CorrectIncorrect 
Question 20 of 68
20. Question
If the straight line x + y = a is tangent to the ellipse then the value of a is
CorrectIncorrect 
Question 21 of 68
21. Question
The equation of normal to the curve 2y = (3 – x^{2}) at x = 1, is
CorrectIncorrect 
Question 22 of 68
22. Question
The locus of the midpoints of the portion of the line x cos θ + y sin θ = a intercepted between the axes, is
CorrectIncorrect 
Question 23 of 68
23. Question
The distance between the lines 4x + 3y = 9 and 8x + 6y = 15, is
CorrectIncorrect 
Question 24 of 68
24. Question
The angle between the pair of lines x^{2}(cos^{2}θ – 1) + y^{2} sin^{2 }θ – xy sin^{2} θ = 0, is
CorrectIncorrect 
Question 25 of 68
25. Question
The value of K for which the circles x^{2} + y^{2} – 4x – Ky – 12 = 0 and x^{2} + y^{2} + 6x + 4y – 12 = 0 cut orthogonally, is
CorrectIncorrect 
Question 26 of 68
26. Question
If (2, 0) is the vertex and yaxis the directrix of a parabola, then the focus is
CorrectIncorrect 
Question 27 of 68
27. Question
The eccentricity of the hyperbola 9x^{2} – 16y^{2} = 144, is
CorrectIncorrect 
Question 28 of 68
28. Question
The foot of the perpendicular from the point (7, 14, 5) to the plane 2x + 4y – z = 2, is
CorrectIncorrect 
Question 29 of 68
29. Question
If P(−1, 4, −3) i s one end of a diameter PQ of the sphere x^{2} + y^{2} + z^{2} – 3x – 2y + 2z – 15 = 0, then the coordinates of Q, are
CorrectIncorrect 
Question 30 of 68
30. Question
A coin is tossed 5 times. The probability that the tail appears an odd number times, is
CorrectIncorrect 
Question 31 of 68
31. Question
If A and B are two events such that P(A) > 0 and P(B) ≠ 1, then is equal to
CorrectIncorrect 
Question 32 of 68
32. Question
The maximum value of z = 5x_{1} + 7x_{2}, subject to x_{1} + x_{2} ≤ 4, 3x_{1} + 8x_{2} ≤ 24, 10x_{1} + 7x_{2} ≤ 35, x_{1}, x_{2} ≥ 0, is
CorrectIncorrect 
Question 33 of 68
33. Question
A company produces 2 types of hats. Every hat A requires twice as much labour time as the second hat B. If the company produces only hat B, then it can produce a total of 500 hats a day. The market limits daily sales of hat A and B to 150 and 250 respectively. The profit on hat A and B are Rs. 8 and Rs. 5 respectively. The optimal solution by graphical method is
CorrectIncorrect 
Question 34 of 68
34. Question
The length of a minute pointer of a watch is 12 cm. The distance travelled by the pointer in 40 minutes, is
CorrectIncorrect 
Question 35 of 68
35. Question
The value of sin 50° − sin 70° + sin 10° is
CorrectIncorrect 
Question 36 of 68
36. Question
Let R be the set of all real numbers. Then
CorrectIncorrect 
Question 37 of 68
37. Question
Let G be the set of all 2 × 2 matrices over the field or real numbers. Then
CorrectIncorrect 
Question 38 of 68
38. Question
Let G be a group of order n and a ∈ G such that O(a) = m. Then
CorrectIncorrect 
Question 39 of 68
39. Question
The order of the permutation is
CorrectIncorrect 
Question 40 of 68
40. Question
Let V be a vector space over the field F. Let 0 ≠ α ∈ V and 0 ≠ a ∈ F. Then
CorrectIncorrect 
Question 41 of 68
41. Question
CorrectIncorrect 
Question 42 of 68
42. Question
i^{104} + i^{100} + i^{114} + i^{110} is equal to
CorrectIncorrect 
Question 43 of 68
43. Question
For any complex number z, the minimum value of z + z – 1 is
CorrectIncorrect 
Question 44 of 68
44. Question
The complex number (sin x + i cos 2x) and (cos x – i sin 2x) are conjugate to each other for
CorrectIncorrect 
Question 45 of 68
45. Question
If A and B are two matrices such that A + B and AB are both defined.
CorrectIncorrect 
Question 46 of 68
46. Question
If then for every positive integer n, A^{n} is equal to
CorrectIncorrect 
Question 47 of 68
47. Question
The matrix is nilpotent of index
CorrectIncorrect 
Question 48 of 68
48. Question
If A is a symmetric matrix, then A^{3} is
CorrectIncorrect 
Question 49 of 68
49. Question
If and f(x) = 2x^{2} – 4x + 5, then f(A) is equal to
CorrectIncorrect 
Question 50 of 68
50. Question
If A is a 3rowed square matrix, then adj(adj(A) is equal to
CorrectIncorrect 
Question 51 of 68
51. Question
If the points (x_{1}, y_{1}), (x_{2}, y_{2}) and (x_{3}, y_{3}) are collinear, then the rank of the matrix is
CorrectIncorrect 
Question 52 of 68
52. Question
The eigvenvalues of a SkewHermitian matrix are
CorrectIncorrect 
Question 53 of 68
53. Question
If and (aI_{2} + bA)^{2} = A, then
CorrectIncorrect 
Question 54 of 68
54. Question
If ω is an imaginary cube root of unity, then the value of is
CorrectIncorrect 
Question 55 of 68
55. Question
If a, b, c be positive real numbers, then the value of is
CorrectIncorrect 
Question 56 of 68
56. Question
The value of is
CorrectIncorrect 
Question 57 of 68
57. Question
For the positive numbers x, y, z the numerical value of is
CorrectIncorrect 
Question 58 of 68
58. Question
If A = 2 and A is a 2 × 2 matrix, the value of det[adj {adj(adj A^{2})}] is
CorrectIncorrect 
Question 59 of 68
59. Question
The existence of the unique solution of the system x + y + z = b, 2x + 3y – z = 6, 5x – y + az = 10 depend on
CorrectIncorrect 
Question 60 of 68
60. Question
CorrectIncorrect 
Question 61 of 68
61. Question
CorrectIncorrect 
Question 62 of 68
62. Question
CorrectIncorrect 
Question 63 of 68
63. Question
If f(x) = x^{3}, then f ‘(0) = is
CorrectIncorrect 
Question 64 of 68
64. Question
CorrectIncorrect 
Question 65 of 68
65. Question
If then at x = 0 is
CorrectIncorrect 
Question 66 of 68
66. Question
If Rolle’s theorem holds for f(x) = x^{3} – 6x^{2} + kx + 5 on [1, 3] with the value of k is
CorrectIncorrect 
Question 67 of 68
67. Question
Let f(x) = x(x – 1) (x – 2) be define in . Then, the value of c of the mean value theorem is
CorrectIncorrect 
Question 68 of 68
68. Question
The position vectors of the points A, B, C are and respectively. These points
CorrectIncorrect