Mathematics - Online Test
Q1. If f (x + y + z) = f (x) f (y ) f (z) for all x , y z and if f (2) = 4, f’ (0) = 5 and f (0) 0, then f’ (2) is equal to
Answer : Option A
Explaination / Solution:
No Explaination.
Q2. Consider points P and Q in the x - y plane, with P = (1,0) and Q = (0,1). The line integral 
along the semicircle with the line segment PQ as
its diameter
along the semicircle with the line segment PQ as
its diameter
Answer : Option B
Explaination / Solution:
Q3. The letters of the word ‘ASSASSIN ‘ are written at random in a row. The chance that all the similar letters occur together is
Answer : Option D
Explaination / Solution:
No Explaination.
Q4.
The domain of the function is
Answer : Option D
Explaination / Solution:
No Explaination.
Q5. The order of the differential equation
Answer : Option B
Explaination / Solution:
The highest derivative terms present in DE is of 2nd order.
Q6. A person throws successively with a pair of dice. The chance that he throws 9 before he throws 7 is
Answer : Option D
Explaination / Solution:
No Explaination.
Q7. If A = {(x, y) : and B = {(x, y) : 2x = 5y}, then contains
Answer : Option B
Explaination / Solution:
No Explaination.
Q8. Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.
Answer : Option D
Explaination / Solution:
Required probability : P(BB) = P(B) X P(B/B) ……………{B means black card} .
Q9. The eigen values of a skew-symmetric matrix are
Answer : Option C
Explaination / Solution:
Eigen value of a Skew-symmetric matrix are either zero or pure imaginary in conjugate pairs.
Q10. If f : R R is given by f (x) = | x | and , then equals
Answer : Option C
Explaination / Solution:
No Explaination.
