CAT4MBA

Q1. Four positive integers are taken at random and multiplied together. Then the probability that the product ends in an odd in an odd digit other than 5 is :
a. 609/625
b. 16/625
c. 2/5
d. 3/5

Q2.  A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the ball drawn is red ?
a. 23/42
b. 19/42
c. 7/32
d. 16/39

Q3. Three students appear at an examination of mathematics. The probability of their success are 1/3, 1/4, 1/5 respectively. Find the probability of successes of at least two ?
a. 1/6
b. 2/5
c. 3/4
d. 3/5

Q4. One gets 10 points for hitting the inner most lamina, 6 for the central strip and 2 for the outermost strip. What is the probability of getting atleast 20 points in 3 attempts? Given that a target (i.e. the one of the 3 strips) is never missed?
a. 1/81
b. 5/81
c. 52/729
d. 1/9

Q5. A fair coin is tossed repeatedly. If head appears on the first four tosses then the probability of appearance of tail on the fifth toss is
a. 1/7
b. 1/2
c. 3/7
d. 2/3

Q6. Q11. A man speaks truth 3 out of 4 times. He throws a die and reports that it is a six. Find the probability that it is actually a six?
a. 3/8
b. 5/8
c. 7/8
d. 1/12

Q7. Two distinct numbers are selected at random from the first twelve natural numbers. The probability that the sum will be divisible by 3 is :
a. 1/3
b. 23/66
c. 1/2
d. None of the above