Q1.      Evaluate: 30! / 28!

1) 120        2) 640          3)870           4)940                      5) None

__________________________________________________________________

Q2.      Evaluate:   

1) 120           2) 3840            3) 3003        4) 273              5) None

__________________________________________________________________

Q3.      How many words with or without meaning, can be formed by using all the letters of the word DELHI, using each letter exactly once?

1) 10             2) 25                3) 60             4) 120              5) None

__________________________________________________________________

Q4.      How many words with or without meaning, can be formed by using all the letters of the word GOOGLE, using each letter exactly once?

1) 100           2) 60                3) 180           4) 120              5) None

__________________________________________________________________

Q5.      How many words with or without meaning, can be formed by using all the letters of the word TWITTER, using each letter exactly once?

1) 840           2) 160              3) 180           4) 720              5) None

__________________________________________________________________

Q6.      In how many ways can the letters of the word COCOON be arranged?

1) 720           2) 120              3) 60             4) 180              5) None

__________________________________________________________________

  DIRECTIONS (Q7 - 10): How many different words can be formed from the letters of word UNITARY in the following questions:

Q7.      The letter U always occupies the first place.

1) 840           2) 880              3) 120           4) 720              5) None

__________________________________________________________________

Q8.      All the vowels are always together

1) 720           2) 120              3) 60             4) 180              5) None

__________________________________________________________________

Q9.      All the consonants are not together.

1) 720           2) 840              3) 5040        4) 576              5) None

__________________________________________________________________

Q10.   How many words of 5 letters each can be formed each containing 3 consonants & 2 vowels?

1) 1720        2) 1440            3) 1060        4) 1080            5) None

__________________________________________________________________

Q11.   How many three digit numbers can be formed from the digits: 0,2,3,4,5,6,7 using each digit just once?

1) 210           2) 180              3) 240           4) 190              5) None

__________________________________________________________________

Q12.   How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

1) 5               2) 10                3) 15             4) 20                5) None

__________________________________________________________________

Q13.   In how many ways can six persons sit in a circle?

1) 720           2) 60                3) 24             4) 120              5) None

__________________________________________________________________

Q14. In how many ways can we make a necklace with six different coloured stones?

1) 720           2) 60                3) 24             4) 120              5) None

__________________________________________________________________

DIRECTIONS (Q15 – 18): How many committees of 5 members each can be formed from 8 official & 4 non official members in following cases?

Q15.   Each consisting of 3 official & 2 non official members

1) 720           2) 224              3) 324           4) 326              5) None

__________________________________________________________________

Q16.   Each contains at least two non official members

1) 456           2) 660              3) 524           4) 120              5) None

__________________________________________________________________

Q17.   A particular official member is never included

1) 120           2) 260              3) 462           4) 720              5) None

__________________________________________________________________

Q18.   A particular non official member is always included

1) 60             2) 330              3) 340           4) 320              5) None

__________________________________________________________________

Q19.   Two unbiased coins are tossed. What is the probability of getting at most one head?

1) 3/4            2) 1/4               3) 4/7            4) 3/5               5) None

__________________________________________________________________

Q20.   Three unbiased coins are tossed. What is the probability of getting at least 2 heads?

1) ¼              2) ½                    3) 1/3       4) 1/8                  5) None

__________________________________________________________________

Q21.   Three unbiased coins are tossed. What is the probability of getting at most two heads?

1) ¾              2) ¼                  3) 3/8            4) 7/8           5) None

__________________________________________________________________

Q22.   A die is rolled. What is the probability of getting a prime number?

1) 7/18       2) 1/2                 3) 4/6            4) 5/6           5) None

__________________________________________________________________

Q23.   In a simultaneous throw of a pair of dice, find the probability of getting a total more than 7?

1) 5/12      2) 6/13                3) 7/15         4) 6/19             5) None

__________________________________________________________________

Q24.   Two dice are thrown together. What is the probability that the sum of the numbers on the two faces is divisible by 4 or 6?

1) 7/18       2) 1/17               3) 4/15         4) 5/16             5) None

__________________________________________________________________

Q25.   What is the probability of getting a sum 9 from two throws of a dice?

1) 1/6            2) 1/8        3) 1/9                   4) 1/12             5) None 

__________________________________________________________________

Q26.   In a simultaneous throw of two dice, what is the probability of getting a total of 10 or 11?

1) ¼              2) 1/6         3) 7/12               4) 5/36             5) None

__________________________________________________________________

Q27.   Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

1) ½              2) ¾                  3) 3/8            4) 5/16             5) None

__________________________________________________________________

Q28.   Two dice are tossed. The probability that the total score is a prime number is:

1) 1/6            2) 5/12             3) ½              4) 7/9                 5) None

__________________________________________________________________

Q29.   Tickets numbered 1 to 20 are mixed up and then a ticked is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

1) ½              2) 2/5               3) 8/15         4) 9/20             5) None

__________________________________________________________________

Q30.   Tickets numbered 1 to 30 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 2 or 3?

1) ½              2) 2/3               3) 2/5            4) 9/30             5) None

__________________________________________________________________

Q31.   One card is drawn from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king?

1) ½              2) 6/13             3) 7/13         4) 27/52          5) None

__________________________________________________________________

Q32.   The probability that a card drawn from a pack of 52 cards will be a diamond or a king is:

1) 2/13         2) 4/13             3) 1/13         4) 1/52             5) None

__________________________________________________________________

Q33.   From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

1) 1/15       2) 25/57               3) 35/256        4) 1/221     5) None

__________________________________________________________________

Q34.   A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random. The probability that all of them are red is:

1) 1/22       2) 3/22               3) 2/91         4) 2/77             5) None

__________________________________________________________________

Q35.   A bag contains 6 white and 4 red balls. Three balls are drawn at random. What is the probability that one ball is red and the other two are white?

1) ½              2) 1/12             3) 3/10         4) 7/12             5) None

__________________________________________________________________

Q36.   A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

1) 10/21       2) 11/21          3) 2/7            4) 5/7               5) None

__________________________________________________________________

Q37.   A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that not both of the balls drawn are blue?

1) 20/21       2) 11/21          3) 2/7            4) 5/7               5) None

__________________________________________________________________

Q38.   In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is probability that it is neither red nor green?

1) 2/3                  2) ¾            3) 7/19         4) 8/21             5) None

__________________________________________________________________

Q39.   A box contains 10 black and 10 white balls. The probability of drawing two balls of the same colour is:

1) 9/19         2) 9/38             3) 10/19       4) 5/19             5) None

__________________________________________________________________

Q40.   A man and his wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is (1/7) and the probability of wife’s selection is (1/5). What is the probability that only one of them is selected?

1) 4/5            2) 2/7               3) 8/15         4) 4/7               5) None 

__________________________________________________________________

Answers

1) 3           2) 3             3) 4             4) 3               5) 1             6) 3
7) 4           8) 1             9) 5             10) 2             11) 2           12) 4

13) 4         14) 2           15) 5           16) 1             17) 3           18) 2

19) 1         20) 2           21) 4           22) 2             23) 1           24) 1

25) 3         26) 4           27) 2           28) 2             29) 4           30) 2

31) 3         32) 2           33) 4           34) 3             35) 1           36) 1

37) 1         38) 5           39) 1           40) 2