A man throws a die until he gets a number bigger than 3. The probability that he gets a 5 in the last throw is

A. 1/2

B. 1/3

C. 2/3

D. 3/5

Two cards aredrawn from a pack. The probability that one of them is a club and the other is not a club is

A. 1/36

B. 5/108

C. 26/51

D. 13/34

The letters of the word SUCCESS are arranged in a row at random. The probability that all S’s come together is

A. 3/35

B. 1/7

C. 3/7

D. 1/5

A five digit number is formed by using the digits 0, 1,2,3,4 and 5 without repetetion.The probability that the number is divisible by 6 is

A. 9/50

B. 10/39

C. 2/3

D. 1/16

A mapping is selected at random from the set of all mappings from the set A={1,2,3}in to B= {1,2,3,4}.The probability that the mapping selected is many to one is

A. 5/8

B. 3/8

C. 1/4

D. 24/64

5 digit numbers can be formed from the digits 0, 2,2,4,5. One number is selected at random.the probability that it is divisible by 5 is

A. 7/16

B. 1/16 1/16 1/26 7/26 1/16 1/26 7/26

C. 1/26

D. 7/26

One hundred cards are numbered from 1 to 100. The probability that a randomly chosen card has a digit 5 is

A. 1/100

B. 9/100

C. 19/100

D. none

If a number x is selected from natural numbers 1 to 100,then the probability for x+100/x >29 is

A. 41/50

B. 47/50

C. 39/50

D. 37/50

If 1+3p/3, 1-2p/2are the probability of two mutually exclusive events, then p lies

A. [-1/3,1/2]

B. (-1/2,1/2)

C. [-1/3,2/3]

D. [-1/2,2/3]

A, B, C are three routes from the house to the office. On any day, the route selected by the officer is independent of the climate. On a rainy day, the probabilities of reaching the office late, through these routes are 1/25, 1/10, 1/4respectively. If a rainy day the officer is late to the office then the probability that the route to be B is

A. 5/6

B. 7/40

C. 29/40

D. 10/39

If three six faced dice are thrown together, then the probability that the sum of the numbers appearing on the dice is k(3≤k≤8)is

A. (k-1)(k-2)/432

B. k(k-1)/432

C. k2/432

D. none

If n positive integers are taken at random and multiplied together , the probability that the last digit of the product is 2,4,6 or 8 is

A. 5n-3n/5n

B. 4n+2n/5n

C. 3n-2n/5n

D. 3n-2n/4n

Five digit numbers can be formed from the digits 1,2,3,4,5. If one number is selected at random, the probability that it is an even number is

A. 4/7

B. 2/5

C. 7/16

D. 1/16

A bag contains four balls. Two balls are drawn and found them to be white. The probability that all the balls are white is

A. 1/2

B. 3/5

C. 1/4

D. 4/6

If 3 cards are drawn from a pack of cards, then the probability for the cards to be a king, a queen and a jack is

A. 52/52C3

B. 64/52C3

C. 78/52C3

D. 84/52C3

If the probability that A and B will die with in a year are p and q respectively, then the probability that only one of them will be alive at the end of the year is

A. p+q

B. p+q-2pq

C. p+q-pq

D. p+q+pq

A bag contain 6 white and 4 black balls. A fair die is rolled and a number of balls equal to that appearing on the die is chosen from the bag at random. The probability that all the balls selected are white is

A. 1/5

B. 1/6

C. 1/7

D. 1/8

The vertex and focus of a parabola are (2, 1), (1, -1). Then the equation of the tangent at the vertex is

A. x+2y-6=0

B. x+2y-4=0

C. x+2y-9=0

D. x+2y-7=0

If one ticket is randomly selected from, tickets numbered from 1to 30 then the probabilitythat the numbered on the tickets i a multiple of 5 or 7 is

A. 1/3

B. 2/3

C. 4/3

D. 5/3

If the point of intersection of kx+4y+2=0, x-3y+5=0 lies on 2x+7y-3=0, then k=

A. 2

B. 3

C. -2

D. -3

A person has 3 shares in a lottery containing 2 prizes and 5 blanks. The chance of getting prize is

A. 3/10

B. 2/7

C. 5/7

D. 7/10

If P (A) =0.4, P (B) =0.5, P(C) =0.6, P (A∩B) =0.2, P (B∩C) =0.3, P (C∩A) =0.25, P (A∩B∩C) =0.1then P (AUBUC) =

A. 0.1

B. 0.9

C. 0.85

D. 0.8

The radical axis of the circles x2+y2-6x-4y-44=0 and x2+y2-14x-5y-24=0 is

A. 8x+y-30=0

B. 8x+y+20=0

C. 8x+3y-20=0

D. 8x+y-20=0

Bag A contains4 white, 3black balls.Bag B contains 3 white and 5 black balls.One ball is drawn from each bag .The probability that both are black is

A. 3/14

B. 15/56

C. 29/56

D. 4/5

The distance of (1, -2) from the common chord of x2+y2-5x+4y-2=0 and x2+y2-2x+8y+3=0 is

A. 2

B. 1

C. 0

D. 3

If the probability for A to fail in one exam is 0.2 and that of B is 0.3, then the probability that either A or B fails is

A. 0.14

B. 0.6

C. 0.44

D. 0.24

If 5 biscuits are distributed among 6 children, the probability that a particular child gets 4 sweets is

A. 10C4/ 610

B. 10C4*56/ 610

C. 10C4+56/ 610

D. 56/610

Three students A,B,C are to take part in a swimming competition. The probabilities of A ‘s winning or the probability of B’s winning of B’s winning is 3 times the probability of C’s winning. The probability of the event of either B or C to win is

A. 5/14

B. 3/7

C. 2/7

D. 4/7