Mathematics - Online Test
Q1. The negation of the compound statement p∨(∼p∨q) is
Answer : Option A
Explaination / Solution:
∼(p∨(∼p∨q))≡∼p∧(p∧∼q) Applying De morgan's law
Q2. The domain of the function is
Answer : Option D
Explaination / Solution:
This function exists only if
cosx−1≥0
⇒cosx≥1
⇒cosx>1
OR
cosx=1
since maximum value of cosine function is 1 so, cos x >1 is not possible
Q3. 
Answer : Option A
Explaination / Solution:
Q4.
If sin 2 = cos 3 , then is equal to
Answer : Option D
Explaination / Solution:
No Explaination.
Q5. If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A fails or B fails is
Answer : Option A
Explaination / Solution:
No Explaination.
Q6. In a three dimensional space, the equation 3x – 4y = 0 represents
Answer : Option D
Explaination / Solution:
No Explaination.
Q7. An Eigenvector of 
is
is
Answer : Option B
Explaination / Solution:
No Explaination.
Q8. For a normal distribution, we have
Answer : Option D
Explaination / Solution:
As in normal distribution, the curve is symmetric and unimodal. So, mean is at peak, mode is also at peak and median as well.
Q9.
The domain of the function is
Answer : Option A
Explaination / Solution:
this function exists only if
it is true
so domain of f(x) is R
Q10. In a single throw of two dice, the probability of getting a total of 7 or 9 is
Answer : Option D
Explaination / Solution:
No Explaination.
