P & C Prac IV

Q1. Find the number of ways of putting five distinct rings on four fingers of the left hand.(Ignore the difference of sizes of rings and fingers)
a. 1250
b. 6720
c. 5260
d. None of these

Q2. There are 5 different Maths books, 4 different Physics books and 3 different Chemistry books. The number of ways in which at least one book can be given away is
a. (2^5 – 1)(2^4 –1)(2^3 –1)
b. 2^12
c. 2^12 –1
d. None of these

Q3.In CAT examination paper there are 3 sections containing 5 questions. A candidate has to solve 5, choosing at least one from each section. The number of ways he can choose is
a. 2,500
b. 2,250
c. 2,750
d. 3,250

Q4.Ten books are arranged in a row on a shelf. In how many ways can 3 books be selected simultaneously from the shelf such that no two adjacent books from the shelf are chosen?
a. 36
b. 48
c. 42
d. 56
e. 84

Q5.Five balls of different colors are to be placed in three boxes of different sizes. Each box can hold all the five balls. The number of ways in which we can place the balls in the boxes so that no box remains empty is :
a. 30
b. 150
c. 600
d. 900

Q6.A bag contains 80 envelopes of which 30 are airmail and the rest are ordinary. Out of the 80 envelopes in the bag, 48 are stamped and the rest are unstamped. There are 20 unstamped ordinary envelopes in the bag. If one envelope is chosen at random from the bag, then the probability that this is an unstamped airmail envelope is
a. 12/80
b. 18/80
c. 2080
d. 3080

Q7. Nargis has 8 children and she takes 3 at a time to children’s park often as she can without taking the same 3 children together more than once. The number of times she will go to the park is:
a. 56
b. 14
c. 28
d. 76

Q8.In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together?
a. 770
b. 385
c. 1540
d. 399

Submitted by timeZtime on Thu, 2008-05-15 22:02.

jigar_er_civil's picture

jigar_er_civil points: 792
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Comments : 385

Q2. There are 5 different Maths books, 4 different Physics books and 3 different Chemistry books. The number of ways in which at least one book can be given away is
a. (2^5 – 1)(2^4 –1)(2^3 –1)
b. 2^12
c. 2^12 –1
d. None of these

ans is (c)

Little Star

jigar_er_civil's picture

jigar_er_civil points: 792
Location:
Comments : 385

Q3.In CAT examination paper there are 3 sections containing 5 questions. A candidate has to solve 5, choosing at least one from each section. The number of ways he can choose is
a. 2,500
b. 2,250
c. 2,750
d. 3,250

ans is 2250

Little Star

jigar_er_civil's picture

jigar_er_civil points: 792
Location:
Comments : 385

Q4.Ten books are arranged in a row on a shelf. In how many ways can 3 books be selected simultaneously from the shelf such that no two adjacent books from the shelf are chosen?
a. 36
b. 48
c. 42
d. 56
e. 84

ans is 56

Little Star

jigar_er_civil's picture

jigar_er_civil points: 792
Location:
Comments : 385

Q5.Five balls of different colors are to be placed in three boxes of different sizes. Each box can hold all the five balls. The number of ways in which we can place the balls in the boxes so that no box remains empty is :
a. 30
b. 150
c. 600
d. 900

ans is 150

Little Star

jigar_er_civil's picture

jigar_er_civil points: 792
Location:
Comments : 385

Q6.A bag contains 80 envelopes of which 30 are airmail and the rest are ordinary. Out of the 80 envelopes in the bag, 48 are stamped and the rest are unstamped. There are 20 unstamped ordinary envelopes in the bag. If one envelope is chosen at random from the bag, then the probability that this is an unstamped airmail envelope is
a. 12/80
b. 18/80
c. 2080
d. 3080

ans is 12/80

Little STar

jigar_er_civil's picture

jigar_er_civil points: 792
Location:
Comments : 385

Q7. Nargis has 8 children and she takes 3 at a time to children’s park often as she can without taking the same 3 children together more than once. The number of times she will go to the park is:
a. 56
b. 14
c. 28
d. 76

ans is 56

Little star