Maths - Online Test
Q1. If X and Y be two events such that P ( X / Y ) = 1/2 , P ( Y / X ) = 1/3 and P ( X ∩ Y ) = 16 , then P ( X ∪Y ) is
Answer : Option D
Explaination / Solution:
Q2. The sum up to n terms of the series 
is
is
Answer : Option D
Explaination / Solution:
Q3. If the equation of the base opposite to the vertex (2, 3) of an equilateral triangle is x + y = 2, then the length of a side is
Answer : Option C
Explaination / Solution:
Q4. If 
= abc/2
≠ 0, then the area of the triangle whose vertices are 
is
= abc/2
≠ 0, then the area of the triangle whose vertices are is
Answer : Option C
Explaination / Solution:
Q5. If λiˆ + 2λjˆ + 2λkˆ is a unit vector, then the value of λ is
Answer : Option A
Explaination / Solution:
Q6. Let R be the universal relation on a set X with more than one element. Then R is
Answer : Option C
Explaination / Solution:
Let X ={a,b,c}
Then R = Universal relation
= {(a,a), (a,b)(a,c)(b,a), (b,b)(b,c)(c,a), (c,b)(c,c)}
Q7. Let X = {1, 2, 3, 4} and R = {(1, 1), (1, 2), (1, 3), (2, 2), (3, 3), (2, 1), (3, 1), (1, 4), (4, 1)}. Then
R is
Answer : Option B
Explaination / Solution:
Q8. If 
= 4 , then the value of p is
= 4 , then the value of p is
Answer : Option C
Explaination / Solution:
No Explaination.
Q9. The equation whose roots are numerically equal
but opposite in sign to the roots of 3x2 - 5x - 7 = 0 is
Answer : Option B
Explaination / Solution:
Q10. If y =
(1− x)2/ x2 , then dy/ dx is
Answer : Option D
Explaination / Solution:
