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)

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 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

Three digit numbers are formed using the digits 0,2,4,6,8. A number is chosen at random out of these numbers what is the probability that this number has the same digits? a.(1)/(16)b .(16)/(25) c.(1)/(645) d.(1)/(25)

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)

The sum of two digits of a number is 15. If 9 is added to the number,the digits are interchanged.What is the number? (A) 69 (B) 87 (C)96 (D) 78

If 19 is subtracted from a two digit number then resulting number is two-third of the original number. What is the sum of two digits of the number? (A) 12 (B) 15 (C) 17 (D) 14

A five-digit number is written down at random. The probability that the number is divisible by 5 and no two consecutive digits are Identical is a. 1/5 b. 1/5(9/(10))^3 c. (3/5)^4 d. none of these