Mathematics - Online Test
Q1. If the mean of the squares of first n natural numbers be 11, then n is equal to
Answer : Option C
Explaination / Solution:
Q2. Given the relation R = {(1, 2), (2, 3)} on the set {1, 2, 3}, the minimum number of ordered pairs which when added to R make it an equivalence relation is =
Answer : Option B
Explaination / Solution:
To make the relation an equivalence relation , the following ordered pairs are required (1,1),(2,2),(3,3)(2,1)(3,2)(1,3),(3,1).
Q3. 
Answer : Option C
Explaination / Solution:
Q4. The area of the triangle whose sides are along the lines x = 0 , y = 0 and 4x + 5y = 20 is
Answer : Option B
Explaination / Solution:
The equation 4x + 5y = 20 can be written as + = 1
This implies the intercepts cut by this line on the X and Y axes are 5 and 4 respectively.
Hence the area of the triangle is 1/2 [ 5 x 4] = 10 square units
Q5. Which of the following statement is a tautology
Answer : Option B
Explaination / Solution:
Since
Hence tautology
Q6. Given f (z) = g(z) + h(z), where f, g, h are complex valued functions of a complex variable z. Which one of the following statements is TRUE?
Answer : Option B
Explaination / Solution:
g(z) and h(z) are differentiable then f(z) = g(z) + h(z) is differentiable.
Q7. 
is equal to
is equal to
Answer : Option D
Explaination / Solution:
Q8. 
are
are
Answer : Option A
Explaination / Solution:
are collinear vectors , because they are parallel in direction and having the same magnitude.
are collinear vectors , because they are parallel in direction and having the same magnitude.
Q9. Evaluate P(A ∪ B), if 2P(A) = P(B) = and P(A|B) =
Answer : Option A
Explaination / Solution:
Q10. is equal to
Answer : Option B
Explaination / Solution:
