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 a, b, c are in A.P. , b, c, d are in G.P. and c, d, e are in H.P. then
CorrectIncorrect 
Question 2 of 68
2. Question
If are in A.P. then a, b, c are in
CorrectIncorrect 
Question 3 of 68
3. Question
If log_{12} 18 = m, log_{24} 54 = n, then mn + 5(m – n + 1) = ?
CorrectIncorrect 
Question 4 of 68
4. Question
If ω be a complex cube root of unity, then the value of (a + b) (aω + bω^{2}) (aω^{2} + bω) is
CorrectIncorrect 
Question 5 of 68
5. Question
If the roots of the equation x^{2} – 2(a + b)x + a(a + 2b + c) = 0 are equal, then
CorrectIncorrect 
Question 6 of 68
6. Question
There are 18 points in a plane. Out of which 5 are collinear. The number of triangles that can be formed by joining the points is
CorrectIncorrect 
Question 7 of 68
7. Question
A candidate has to secure the minimum marks in each of the six subjects to pass in an examination. In how many ways can he fail?
CorrectIncorrect 
Question 8 of 68
8. Question
If x is real, then the maximum value of 1 – 2x – x^{2} is
CorrectIncorrect 
Question 9 of 68
9. Question
Log_{2} e – log_{4} e + log_{8} e^{−} …… to ∞ = ?
CorrectIncorrect 
Question 10 of 68
10. Question
If sin x = 3/5, cos y = −12/13, where , then tan (x – y) = ?
CorrectIncorrect 
Question 11 of 68
11. Question
The simplest value of is
CorrectIncorrect 
Question 12 of 68
12. Question
If in a ∆ ABC, (a + b + c) (b + c – a) = 3 bc, then A =
CorrectIncorrect 
Question 13 of 68
13. Question
If f(x) = cos^{2}x + sec^{2}x, then
CorrectIncorrect 
Question 14 of 68
14. Question
If then x = ?
CorrectIncorrect 
Question 15 of 68
15. Question
If the parametric coordinates of a point P be [3(cot θ + tan θ), 4(cot θ – tan θ)], θ = parameter, then the locus of P will be
CorrectIncorrect 
Question 16 of 68
16. Question
If the area of the triangle formed by the points (−1, m), (m – 2, 1), (m – 2, m) be 25/2 sq. units, then m = ?
CorrectIncorrect 
Question 17 of 68
17. Question
The radius of the circle passing through the point (0, 0), (3, 0) and (0, 4) is
CorrectIncorrect 
Question 18 of 68
18. Question
If the equation of diretrix of the parabola y^{2} – kx + 8 = 0 is x = 1, then the value of k is
CorrectIncorrect 
Question 19 of 68
19. Question
The eccentric angle of a point on the ellipse x^{2} + 3y^{2} = 6 at a distance 2 units from the centre is
CorrectIncorrect 
Question 20 of 68
20. Question
The eccentricity of the geometric locus represented by the equation 16x^{2} – 9y^{2} = 144 is
CorrectIncorrect 
Question 21 of 68
21. Question
If f(x) = x − [x], where [x] is the greatest integer not greater than x, then f(−3.5) = ?
CorrectIncorrect 
Question 22 of 68
22. Question
If the function when x ≠ 0 is continuous at x = 0, then f(0) = ?
CorrectIncorrect 
Question 23 of 68
23. Question
CorrectIncorrect 
Question 24 of 68
24. Question
If f(x) = x – [x], x < 2 and f(x) 3x – 5, x > 2 then
CorrectIncorrect 
Question 25 of 68
25. Question
CorrectIncorrect 
Question 26 of 68
26. Question
CorrectIncorrect 
Question 27 of 68
27. Question
If then
CorrectIncorrect 
Question 28 of 68
28. Question
If y = tan^{−1} x and then p = ?
CorrectIncorrect 
Question 29 of 68
29. Question
CorrectIncorrect 
Question 30 of 68
30. Question
CorrectIncorrect 
Question 31 of 68
31. Question
CorrectIncorrect 
Question 32 of 68
32. Question
is solution of the differential equation
CorrectIncorrect 
Question 33 of 68
33. Question
A particle is moving in a straight line such that its distance at any time t is given by then acceleration is minimum for t = ?
CorrectIncorrect 
Question 34 of 68
34. Question
The point on the curve y^{2} – x, at which the tangent makes an angle 45° with Xaxis is
CorrectIncorrect 
Question 35 of 68
35. Question
The normal to a curve y = f(x) is parallel to Xaxis if
CorrectIncorrect 
Question 36 of 68
36. Question
The area of the parabola y^{2} = 4x bounded by the latus rectum (in sq. units) is
CorrectIncorrect 
Question 37 of 68
37. Question
If the nth term of an AP is P, then the sum of its first (2n – 1) terms is
CorrectIncorrect 
Question 38 of 68
38. Question
If x, 2x + 1, 4x + 5, …. are in GP, then its sixth term is
CorrectIncorrect 
Question 39 of 68
39. Question
If log_{10} x = a and log_{100} y = b then the value of 10^{a +2b – 2 }in terms of x, y is
CorrectIncorrect 
Question 40 of 68
40. Question
If and r_{2} = er, then
CorrectIncorrect 
Question 41 of 68
41. Question
The path of a particle moving in a straight line is given by s = t^{3} – 6t^{2} + 9t + 4. Its velocity increases for
CorrectIncorrect 
Question 42 of 68
42. Question
The complex numbers z + x + iy which satisfy the equation is
CorrectIncorrect 
Question 43 of 68
43. Question
If the roots of the equation a(b – c)x^{2} + b(c – a)x + c(a – b) = 0 are equal, the a, b, c are is
CorrectIncorrect 
Question 44 of 68
44. Question
If the roots of the equation ax^{2} + bx + c = 0 be in the ratio m n, then (m + n)^{2}/mn = ?
CorrectIncorrect 
Question 45 of 68
45. Question
A polygon has 54 diagonals. Then the number of sides of the polygon is
CorrectIncorrect 
Question 46 of 68
46. Question
A five digit number divisible by 3 is to be formed using the digits 1, 2, 3, 4 and 5 without repetition. The total number of ways this can be done is
CorrectIncorrect 
Question 47 of 68
47. Question
If U_{n + 1} = 3U_{n} – 2U_{n – 1 } and U_{0} = 0, U_{1} = 1 then U_{n} = ?
CorrectIncorrect 
Question 48 of 68
48. Question
If (1 – x + x^{2})^{n} = a_{0} + a_{1}x + a_{2}x^{2} + ……+a_{2n}x^{2n}, then a_{0} + a_{1} + a_{2} + …… + a_{2n} = ?
CorrectIncorrect 
Question 49 of 68
49. Question
The sum of the infinite series is
CorrectIncorrect 
Question 50 of 68
50. Question
In a third order determinant, if the cofactor of the element in the second row and third column is K times the corresponding minor, then K = ?
CorrectIncorrect 
Question 51 of 68
51. Question
Among 52 guests 16 drink tea but not coffee and 33 drink tea. The number of guests who drink coffee but not tea is
CorrectIncorrect 
Question 52 of 68
52. Question
If A and B are two events and then P(A^{c} ∩ B^{c}) = ?
CorrectIncorrect 
Question 53 of 68
53. Question
The simplest value of cosec 10° − 4 sin 70° is
CorrectIncorrect 
Question 54 of 68
54. Question
If y = a log x + bx^{2} + x has its extreme values at x = −1 and x = 2, then
CorrectIncorrect 
Question 55 of 68
55. Question
The simplest value of (sin^{2} 24^{0} – sin^{2} 6^{0}) (sin^{2} 42^{0} – sin^{2} 12^{0}) is
CorrectIncorrect 
Question 56 of 68
56. Question
The simplest value of is
CorrectIncorrect 
Question 57 of 68
57. Question
The number of all possible triplets (a_{1}, a_{2}, a_{3}) such that a_{1} + a_{2}cos 2x + a_{3} sin^{2} x = 1 is
CorrectIncorrect 
Question 58 of 68
58. Question
The parameteric coordinates of a point P is then the locus of P is
CorrectIncorrect 
Question 59 of 68
59. Question
A ray of light coming from the point (1, 2) passes through the point (3, 5) after reflexion at the point A on Xaxis. The abscissa of the point A is
CorrectIncorrect 
Question 60 of 68
60. Question
If one end of a focal chord of y^{2} = 4ax is (at^{2}, 2at) then the length of the focal chord is
CorrectIncorrect 
Question 61 of 68
61. Question
Eccentricity of a hyperbola of which the coordinates of the foci are (±5, 0) and the length of the latus rectum 9/2 is
CorrectIncorrect 
Question 62 of 68
62. Question
Which of the following function reaches its maximum at x = 0?
CorrectIncorrect 
Question 63 of 68
63. Question
CorrectIncorrect 
Question 64 of 68
64. Question
If is to be continuous at x = 0, then f(0) = ?
CorrectIncorrect 
Question 65 of 68
65. Question
If then f ‘ = 0 ?
CorrectIncorrect 
Question 66 of 68
66. Question
The particular solution of the differential equation (1 + y^{2})dx + (1 + x^{2})dy = 0, with y = 1 for x = 0 is
CorrectIncorrect 
Question 67 of 68
67. Question
The area bounded by the curve x^{2} = y, the Xaxis and the ordinates x = 1 and x = k(>1) is then K = ?
CorrectIncorrect 
Question 68 of 68
68. Question
The angle that the normal to the parabola x = at^{2}, y = 2at at t = 1, makes with the Xaxis is
CorrectIncorrect