Mathematics - Online Test
Q1. If n(A)
= 2 and n(B ∪C) = 3, then n[(A x B) ∪ (A
xC)] is
Answer : Option C
Explaination / Solution:
Q2. If 
, then the value of limx→0 f (x) is equal to
, then the value of limx→0 f (x) is equal to
Answer : Option B
Explaination / Solution:
No Explaination.
Q3.
is equal to
Answer : Option D
Explaination / Solution:
( using L’Hospital Rule)
Q4. The statement P ( n ) : “
“ is
Answer : Option C
Explaination / Solution:
Replace n = 1, 2 3 then LHS = RHS
Q5. The value of the limit 
is
is
Answer : Option A
Explaination / Solution:
Q6. The length of the chord joining the point ( 4 cos , 4 sin ) and 4 ( cos(+), 4 sin( + )) of the circle is
Answer : Option A
Explaination / Solution:
using distance formulae 
on simplifying we get, 
on simplifying we get,
Q7. If 3 is the logarithm of 343, then the base is
Answer : Option B
Explaination / Solution:
Q8. Determine order and degree (if defined) of + 3s = 0
Answer : Option C
Explaination / Solution:
Order = 2 , degree = 1.Since the equation has as the highest derivative term.its order is 2 and its index is 1
Q9. The number of ways in which a necklace can be formed by using 5 identical red beads and 6 identical white beads is:
Answer : Option A
Explaination / Solution:
Total number of beads =11
We have 6 beads are alike and next 5 beads are also alike , also since it is a necklace it can be observed from both the sides .
Therefore required number of ways=
Q10. If ( AB)−1 = 
, and A-1 = 
, then B−1 =
, and A-1 = , then B−1 =
Answer : Option A
Explaination / Solution:
