CAT4MBA

Q1. A box contains 5 red balls, 8 green balls and 10 pink balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?
a. 13/23
b. 10/23
c.11/23
d. 13/529
e. None of the above

Q2.What is the probability that the sum of the rolls is a prime number?
a. 1/2
b. 1/4
c. 1
d. 0
e. None of these

Q3. Seven white balls and three black balls are randomly placed in a row. Find the probability that no two black balls are placed adjacent to each other?
a. 7/15
b. 2/15
c. 3/7
d. 2/7
e. None of the above

Q4. An urn contains 4 white, 6 black and 8 red balls. If 3 balls are drawn one by one without replacement, find the probability of getting all white balls?
a. 5/204
b. 1/204
c. 13/204
d. 3/22
e. None of the above

Q5. In a test, an examinee either guesses or copies or knows the answer to a multiple choice question with four choices. The probability that he makes a guess is 1/3 and the probability that he copies the answer is 1/6. The probability that his answer is correct, given that he copied it, is 1/8. The probability that he knew the answer to the question, given that he correctly answered it, is
a. 24/29
b. 5/29
c. 16/29
d. 15/29
e. None of the above

Q6. Two numbers a and b are chosen at random from the set of first 30 natural numbers. The probability that a^2-b^2 is divisible by 3 is :
a. 37/87
b. 47/87
c. 17/29
d. None of these
e. None of the above

Q7.If a student guesses a random answer on a single question, what is the probability that the student guesses correctly on that question?
a. 1/5
b. 1/25
c. 1/4
d. 1/20
e. None of these

Q8. 12 persons are seated around a round table. What is the probability that two particular person sit together ?
a. 2/11
b. 1/6
c. 3/11
d. 3/15
e. None of the above

Q9.If a year has 360 days and all months with 30 days. What is the probability that your birthday falls on a Monday and that is an even day of an even month, if January 1 is a Monday ?
a. 1/30
b. 13/360
c. 1/28
d. 11/360
e. None of the above

Q10. Three points are chosen at random on the circumference of a circle, and the inscribed triangle which has these points as vertices is drawn. What is the probability that this triangle contains the centre of the circle?
a. 1/3
b. 2/5
c. 3/7
d. 1
e. None of the above

Q11. A fair coin is flipped three times.  Given that the first flip was tails, what is the probability of at least one head?
a. 3/4
b. 2/7
c. 1/8
d. 11/23
e. None of the above

Q12. Four friends meet for lunch and each friend puts his car key in the middle of their table.  After lunch, each friend grabs a key at random.  What is the probability that at least one person gets his own key?
a. 3/8
b. 1/4
c. 1/24
d. 5/8
e. None of the above

Q13. Six balls are put in three boxes. The probability of putting balls in the boxes in equal numbers is :
a. 1/21
b. 1/8
c. 1/28
d. 1/6
e. None of the above