Mathematics - Online Test
Q1. If P(X = 0) = 1 − P(X = 1). If E(X)
= 3Var(X), then P(X = 0) is
Answer : Option D
Explaination / Solution:
Q2. If the roots of the
equation q2x2 + p2x
+ r2 = 0 are the squares of the roots of the equation qx2
+ px + r = 0 , then q, p, r are in
_____
Answer : Option B
Explaination / Solution:
Q3. If 2nd, 3rd and 4th terms in the expansion of are 240, 720 and 1080 respectively, then the value of n is
Answer : Option A
Explaination / Solution:
Q4. A line perpendicular to the line 5x - y = 0 forms a triangle with the coordinate axes. If the area of the triangle is 5 sq. units, then its equation is
Answer : Option A
Explaination / Solution:
Q5. If the normals of the
parabola y2 = 4x drawn at the end points of its latus
rectum are tangents to the circle (x − 3)2 + ( y + 2)2
= r 2 , then the value of r 2 is
Answer : Option A
Explaination / Solution:
Q6. A tangent is perpendicular to the radius at the
Answer : Option B
Explaination / Solution:
No Explaination.
Q7. If the volume of the parallelepiped with 
as coterminous edges is 8 cubic units, then the volume of the
parallelepiped with 
and 
as coterminous edges is,
as coterminous edges is 8 cubic units, then the volume of the
parallelepiped with and as coterminous edges is,
Answer : Option C
Explaination / Solution:
No Explaination.
Q8.
Consider four straight lines
(i) l1 : 3y = 4x + 5
(ii) l 2 : 4y = 3x −1
(iii) l3: 4y + 3x = 7
(iv) l 4 : 4x + 3y = 2
Answer : Option C
Explaination / Solution:
Q9. In the first three papers each of 100 marks , Rishi got 95 , 72 , 83 marks . If he wants an average of greater than or equal to 75 marks and less than 80 marks, find the range of marks he should score in the 4th paper .
Answer : Option D
Explaination / Solution:
et the marks scored by Rishi in the fourth paper be x.
Then
Multipling the inequality throughout by 4 ,we get
Q10. is equal to
Answer : Option D
Explaination / Solution:
