Mathematics - Online Test
Q1.
If f (x) = tan x, and g (x) = then domain of the function gof is
Answer : Option C
Explaination / Solution:
which is defined only if
so domain of gof is
Q2. The probability that a man will live for 10 more years is and that his wife will live 10 more years is. The probability that neither will be alive in 10 years is
Answer : Option A
Explaination / Solution:
No Explaination.
Q3.
If f (x) = tan x, and g (x) = , then domain of fog is
Answer : Option B
Explaination / Solution:
and it is defined if
Q4. The probability of having atleast one tail in five throws with a coin is
Answer : Option A
Explaination / Solution:
No Explaination.
Q5. If f (x) =, then domain of fof is
Answer : Option C
Explaination / Solution:
is defined only if
will be non negative.
Hence is defined only for 0.
Q6. If E is any event associated with an experiment, then
Answer : Option D
Explaination / Solution:
No Explaination.
Q7. If y = tan then
Answer : Option D
Explaination / Solution:
Let and it is defined if
Q8. A and B toss 3 coins. The probability that they both obtain the same number of heads is
Answer : Option D
Explaination / Solution:
No Explaination.
Q9. The interval in which the values of f (x) lie where f (x) = 3 sin is
Answer : Option A
Explaination / Solution:
z=π216−x2−−−−−−√∴0≤z≤π4∴0≤sinz≤12√0≤3sinz≤32√
Q10. Three identical dice are rolled. The probability that the same number will appear on each of them is
Answer : Option D
Explaination / Solution:
No Explaination.
