Mathematics - Online Test
Q1. A box contains 100 tickets numbered 1, 2, 3, ….100. Two tickets are chosen at random. If it is given that the maximum number on the two chosen tickets is not more than 10, then the probability that the minimum number on them is not less than 5 is
Answer : Option B
Explaination / Solution:
No Explaination.
Q2. The points ( 1, 2 , 3 ) , ( - 1, -1 , - 1 ) and ( 3, 5 , 7 ) are the vertices of
Answer : Option B
Explaination / Solution:
No Explaination.
Q3.
The domain of the function f (x) = is
Answer : Option B
Explaination / Solution:
this exists only if
Q4. Let A and B be two independent events. The probability that both A and B occur is and the probability that neither A nor B occurs is . The respective probabilities of A and B are
Answer : Option B
Explaination / Solution:
No Explaination.
Q5. Let x be any real, then [x + y] = [x] + [y] holds for
Answer : Option D
Explaination / Solution:
Q6. Two events A and B have probabilities 0.25 and 0.50 respectively. The probability that both A and B occur simultaneously is 0.14. Then the probability that neither A nor B occurs is
Answer : Option A
Explaination / Solution:
No Explaination.
Q7. The function f (x) = x + cos x
Answer : Option A
Explaination / Solution:
so,
SO given function is defined for all reals
Q8. India plays two matches each with West Indies and Australia. In any match the probabilities of India getting points 0, 1 and 2 are 0.45, 0.5 and 0.5 respectively. Assuming that the outcomes are independent, the probability of India getting atleast 7 points is
Answer : Option C
Explaination / Solution:
No Explaination.
Q9. If f then is equal to
Answer : Option B
Explaination / Solution:
this function is defined only if
which is not possible because
so,
Q10. An unbiased dice is rolled four times. The probability that the minimum number on any toss is not less than 3 is
Answer : Option B
Explaination / Solution:
No Explaination.
