Mathematics - Online Test
Q1. A = {a,b, p}, B =
{2, 3}, C = {p,q,r,s} then n[(A
∪ C )× B] is
Answer : Option C
Explaination / Solution:
Q2. The differential equation representing the
family of curves y = A cos(x + B),
where A and B are parameters, is
Answer : Option B
Explaination / Solution:
Q3. If f and g are
polynomials of degrees m and n respectively, and if h(x)
= ( f o g )(x) , then the degree of h is
Answer : Option A
Explaination / Solution:
Q4. Let A and B be two sets such that {tex}n(A)=35,n(B)=42\quad and\quad n(A\cap B)=17{/tex}, find {tex}n(A-B){/tex}
Answer : Option C
Explaination / Solution:
No Explaination.
Q5. The coefficient of x6 in (2 + 2x)10
is
Answer : Option D
Explaination / Solution:
Q6. Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are
Answer : Option A
Explaination / Solution:
Q7. If sin−1 x + sin−1 y (2π/3) ; then cos−1 x + cos−1 y is equal to
Answer : Option B
Explaination / Solution:
Q8. The inequality | z − 4 | < | z −2 | represents the region given by
Answer : Option D
Explaination / Solution:
Q9. 
Answer : Option D
Explaination / Solution:
because , row 1 and row 3 are identical.
because , row 1 and row 3 are identical.
Q10.
A rod of length 2l
is broken into two pieces at random. The probability density function of the
shorter of the two pieces is
The mean and variance of the shorter of the two pieces are respectively
Answer : Option D
Explaination / Solution:
