Mathematics - Online Test
Q1. If ey = x1/x , then y has a
Answer : Option A
Explaination / Solution:
Q2. The function f(x) = from R to [0, ) is
Answer : Option D
Explaination / Solution:
No Explaination.
Q3. Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4.Find P(A ∪ B)
Answer : Option C
Explaination / Solution:
Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4
Since the events are independent, P(AB) = P(A).P(B)
ThereforeP(AB) = P(A) + P(B)
= 0.3 + 0.4 - 0.12 = 0.58
Q4. A fair coin is tossed independently four times. The probability of the event “the number of time heads shown up is more than the number of times tail shown up”
Answer : Option D
Explaination / Solution:
No Explaination.
Q5. For all x ∈ (0, 1)
Answer : Option A
Explaination / Solution:
No Explaination.
Q6. Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4.Find P (A|B)
Answer : Option C
Explaination / Solution:
Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4 P(A/B)=P(A)=0.3.
Q7. If 
over the path shown in the figure is
over the path shown in the figure is
Answer : Option C
Explaination / Solution:
Q8.
The domain of the function
Answer : Option A
Explaination / Solution:
No Explaination.
Q9. Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4. Find P(B|A).
Answer : Option A
Explaination / Solution:
Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4. P(B/A)=P(B)=0.4
Q10.
Consider differential equation with 
the initial condition y(0) = 0. Using Euler’s first order method with a step size of 0.1, the value of y(0.3) is
the initial condition y(0) = 0. Using Euler’s first order method with a step size of 0.1, the value of y(0.3) is
Answer : Option B
Explaination / Solution:
Taking step size h = 0.1, y(0) = 0
From table, at x = 0.3,y(x = 0.3) = 0.031
