A five digits number of the form `xyzyx` is choosen, probability that `xlt y` is (A) `35/90` (B) `6/15` (C) `19/45` (D) `13/30`

A coin is tossed if head turns up then pair of dice is thrown and sum of numbers is noted. If tail turns up then a card numbered from 1 to 9 is drawn and number is noted, then find the probability that number is 7 or 8 . (a) 13/36 (b) 15/72 (c) 19/72 (d) 11/36

The number of three digit numbers of the form xyz such that x lt y , z le y and x ne0 , is a ) 240 b) 244 c) 276 d) 285

A seven digit number is choosen. What the probability that even number occupy even places? 1/8 (b) 1/4 (c) 1/2 (d) None of these

A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is (a) 2/3 (b) 1/6 (c) 1/3 (d) (11)/(30)

How many numbers of five digits can be found from the numbers 2,0,4,3,8 when repetition of digits is not allowed? (A) 96 (B) 120 (C) 144 (D) 14

If a digit is chosen at random from the digits 1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9 , then the probability that the digit is even, is (a) 4/9 (b) 5/9 (c) 1/9 (d) 2/3

A composite number is selected at random from the first 30 natural numbers and it is divided by 5. The probability that there will be remainder is (a) 14/19 (b) 5/19 (c) 5/6 (d) 7/15

A five digit number if formed by the digits 1,2,3,4,5,6 and 8. The probability that the number has even digit at both ends is

A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime number less than 23, is 7/(90) (b) (10)/(90) (c) 4/(45) (d) 9/(89)

18 points are indicated on the perimeter of a triangle ABC (see figure). If three points are choosen probability it will form a triangle. Figure (331)/(816) (b) 1/2 (c) (355)/(408) (d) (711)/(816)