Mathematics - Online Test
Q1. If the letters of the word ‘ INDEPENDENCE ‘ are written down at random in a row , then the chance that no two E’s occur together is
Answer : Option A
Explaination / Solution:
No Explaination.
Q2. 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.
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. 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.
Q6. If A = {(x, y) : and B = {(x, y) : 2x = 5y}, then contains
Answer : Option B
Explaination / Solution:
No Explaination.
Q7. 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} .
Q8. If f : R R is given by f (x) = | x | and , then equals
Answer : Option C
Explaination / Solution:
No Explaination.
Q9. A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.
Answer : Option D
Explaination / Solution:
Total oranges = 15., Good Oranges = 12. Therefore , Required Probability =.
Q10. If f : N ××N →→N is such that f (m, n) = m + n where N is the set of natural number, then which of the following is true ?
Answer : Option B
Explaination / Solution:
No Explaination.
