Quizsummary
0 of 30 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
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 30 questions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 point(s), (0)
Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 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
 Answered
 Review

Question 1 of 30
1. Question
Let A and B be two sets containing four and two elements respectively. Then the number of subjects of the set A X B, each having at least three elements is :
CorrectIncorrect 
Question 2 of 30
2. Question
A complex number z is said to be unimodular if z = 1. Suppose z_{1} and z_{2} are complex numbers such that is unimodular and z_{2} is not unimodular. Then the point z_{1} lines on a :
CorrectIncorrect 
Question 3 of 30
3. Question
Let α and β be the roots of equation x^{2} – 6x – 2 = 0. If a_{n} =α^{n}– β^{n}, for n≥1, then the value of is equal to :
CorrectIncorrect 
Question 4 of 30
4. Question
If is a matrix satisfying the equation AA^{T} = 91, where I is 3X3 identity matrix, then the ordered pair (a,b) is equal to :
CorrectIncorrect 
Question 5 of 30
5. Question
The set of all values of λ for which the system of linear equations :
2x_{1} – 2x_{2} + x_{3} = λx_{1}
2x_{1} –3x_{2} +2 x_{3} = λx_{2}
−x_{1 }+ 2x_{2} = λx_{3}
has a nontrivial solution,
CorrectIncorrect 
Question 6 of 30
6. Question
The number of integers greater than 6,000 that can be formed, using the digits 3, 5, 6, 7 and 8, without repetition, is :
CorrectIncorrect 
Question 7 of 30
7. Question
CorrectIncorrect 
Question 8 of 30
8. Question
If m is the A.M. of the two distinct real numbers l and n (l, n>1) and G_{1}, G_{2} and G_{3} are three geometric means between l and n then equals.
CorrectIncorrect 
Question 9 of 30
9. Question
CorrectIncorrect 
Question 10 of 30
10. Question
CorrectIncorrect 
Question 11 of 30
11. Question
CorrectIncorrect 
Question 12 of 30
12. Question
The normal to the curve, x^{2}+2xy−3y^{2}=0, at (1,1) :
CorrectIncorrect 
Question 13 of 30
13. Question
Let f(x) be a polynomial of degree four having extreme values at x=1 and x=2. If then f(2) is equal to :
CorrectIncorrect 
Question 14 of 30
14. Question
CorrectIncorrect 
Question 15 of 30
15. Question
CorrectIncorrect 
Question 16 of 30
16. Question
The area (in sq. units) of the region described by {(x,y) : y^{2 }≤ 4x – 1} is :
CorrectIncorrect 
Question 17 of 30
17. Question
Let y(x) be the solution of the differential equation (x log x) log x, (x ≥ 1). Then y(e) is equal to :
CorrectIncorrect 
Question 18 of 30
18. Question
The number of points, having both coordinates as integers, that lie in the interior of the triangle with verticles (0, 0), (0, 41) and (41, 0), is :
CorrectIncorrect 
Question 19 of 30
19. Question
Locus of the image of the point (2, 3) in the line (2x −3y+4) +k (x−2y+3) = 0, k ε R, is a :
CorrectIncorrect 
Question 20 of 30
20. Question
The number of common tangents to the circles x^{2} + y^{2} −4x −6y – 12 = 0 and x^{2} + y^{2} + 6x +18y +26 = 0, is :
CorrectIncorrect 
Question 21 of 30
21. Question
The area (in sq. units) of the quadrilateral formed by the tangents at the end points of the latera recta to the ellipse is :
CorrectIncorrect 
Question 22 of 30
22. Question
Let O be the vertex and Q be any point on the parabola, x^{2} =8y. If the point P divides the line segment OQ internally in the ratio 1 : 3, then the locus of P is :
CorrectIncorrect 
Question 23 of 30
23. Question
The distance of the point (1, 0, 2) from the point of intersection of the line and the plane x−y+z = 16, is :
CorrectIncorrect 
Question 24 of 30
24. Question
The equation of the plain containing the line 2x – 5y + z = 3; x+y+4z = 5, and parallel to the plane, x+3y+6z = 1, is :
CorrectIncorrect 
Question 25 of 30
25. Question
Let be three nonzero vectors such that no two of them are collinear and . If θ is the angle between vectors , then a value of sin θ is :
CorrectIncorrect 
Question 26 of 30
26. Question
If 12 identical balls are to be placed in 3 identical boxes, then the probability that one of the boxes, then the probability that one of the boxes contains exactly 3 balls is :
CorrectIncorrect 
Question 27 of 30
27. Question
The mean of the data set comprising of 16 observations is 16. If one of the observation valued 16 is deleted and three new observations valued 3, 4 and 5 are added to the data, then the mean of the resultant data, is :
CorrectIncorrect 
Question 28 of 30
28. Question
If the angles of elevation of the top of a tower from three collinear points A, B and C, on a line leading to the foot of the tower, are 30°, 45° and 60° respectively, then the ratio, AB : BC, is :
CorrectIncorrect 
Question 29 of 30
29. Question
CorrectIncorrect 
Question 30 of 30
30. Question
The negation of ~ s ∨ ( ~ r ∧ s) is equivalent to :
CorrectIncorrect