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Recent questions tagged permutation-combination
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 13
A four-digit number is formed by using only the digits $1, 2$ and $3$ such that both $2$ and $3$ appear at least once. The number of all such four-digit numbers is
soujanyareddy13
asked
in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
100
views
cat2021-set3
quantitative-aptitude
permutation-combination
numerical-answer
1
vote
1
answer
2
CAT 2021 Set-2 | Quantitative Aptitude | Question: 4
The number of ways of distributing $15$ identical balloons, $6$ identical pencils and $3$ identical erasers among $3$ children, such that each child gets at least four balloons and one pencil, is
soujanyareddy13
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in
Quantitative Aptitude
Jan 20
by
soujanyareddy13
2.7k
points
251
views
cat2021-set2
quantitative-aptitude
permutation-combination
numerical-answer
1
vote
1
answer
3
CAT 2021 Set-1 | Quantitative Aptitude | Question: 10
The number of groups of three or more distinct numbers that can be chosen from $1, 2, 3, 4, 5, 6, 7,$ and $8$ so that the groups always include $3$ and $5,$ while $7$ and $8$ are never included together is
soujanyareddy13
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in
Quantitative Aptitude
Jan 19
by
soujanyareddy13
2.7k
points
295
views
cat2021-set1
quantitative-aptitude
permutation-combination
numerical-answer
2
votes
1
answer
4
CAT 2020 Set-2 | Question: 65
How many $4$-digit numbers, each greater than $1000$ and each having all four digits distinct, are there with $7$ coming before $3.$
soujanyareddy13
asked
in
Quantitative Aptitude
Sep 17, 2021
by
soujanyareddy13
2.7k
points
219
views
cat2020-set2
quantitative-aptitude
permutation-combination
numerical-answer
1
vote
1
answer
5
CAT 2020 Set-1 | Question: 51
How many $3-$digit numbers are there, for which the product of their digits is more than $2$ but less than $7$?
soujanyareddy13
asked
in
Quantitative Aptitude
Sep 16, 2021
by
soujanyareddy13
2.7k
points
166
views
cat2020-set1
quantitative-aptitude
permutation-combination
numerical-answer
0
votes
2
answers
6
NIELIT 2017 DEC Scientific Assistant A - Section A: 31
In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together? $10080$ $4989600$ $120960$ None of the options
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Mar 31, 2020
by
Lakshman Patel RJIT
12.0k
points
585
views
nielit2017dec-assistanta
numerical-ability
permutation-combination
0
votes
1
answer
7
NIELIT 2017 July Scientist B - Section A: 1
What is the maximum number of the handshakes that can happen in the room with $5$ people in it? $15$ $10$ $6$ $5$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Mar 30, 2020
by
Lakshman Patel RJIT
12.0k
points
684
views
nielit2017july-scientistb
permutation-combination
0
votes
1
answer
8
NIELIT 2017 July Scientist B - Section A: 8
In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together? $810$ $1440$ $2880$ $50400$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Mar 30, 2020
by
Lakshman Patel RJIT
12.0k
points
400
views
nielit2017july-scientistb
permutation-combination
0
votes
1
answer
9
NIELIT 2017 DEC Scientist B - Section A: 57
In a big farm in Wisconsin, there are only hens and cows. When the owner counted the heads of the stock in the farm, the number summed up to $200$, while counting the number of legs, the number summed up to $540$. How many more hens were there in the farm ? Assume each cow had $4$ legs and each hen had $2$ legs. $70$ $120$ $60$ $130$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Mar 30, 2020
by
Lakshman Patel RJIT
12.0k
points
625
views
nielit2017dec-scientistb
permutation-combination
0
votes
1
answer
10
NIELIT 2017 DEC Scientist B - Section A: 58
There are $6$ boxes numbered $1,2$,$\dots$,$6$. Each box is to be filled up either with a red or a green ball in such a way that at least $1$ box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is : $5$ $21$ $33$ $60$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Mar 30, 2020
by
Lakshman Patel RJIT
12.0k
points
558
views
nielit2017dec-scientistb
permutation-combination
2
votes
1
answer
11
CAT 2018 Set-2 | Question: 84
In a tournament, there are $43$ junior level and $51$ senior level participants. Each pair of juniors play one match. Each pair of seniors play one match. There is no junior versus senior match. The number of girl versus girl matches in junior ... number of boy versus boy matches in senior level is $276$. The number of matches a boy plays against a girl is _________
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
397
views
cat2018-2
quantitative-aptitude
permutation-combination
numerical-answer
2
votes
1
answer
12
CAT 2018 Set-1 | Question: 91
How many numbers with two or more digits can be formed with the digits $1,2,3,4,5,6,7,8,9$, so that in every such number, each digit is used at most once and the digits appear in the ascending order?
go_editor
asked
in
Quantitative Aptitude
Mar 20, 2020
by
go_editor
13.4k
points
296
views
cat2018-1
quantitative-aptitude
permutation-combination
numerical-answer
0
votes
0
answers
13
CAT 2017 Set-2 | Question: 96
How many four digits number, which are divisible by $6$ , can be formed using the digits $0,2,3,4,6$ such that no digit is used more than once and $0$ does not occur in the left-most positions? $49$ $48$ $50$ $52$
go_editor
asked
in
Quantitative Aptitude
Mar 16, 2020
by
go_editor
13.4k
points
135
views
cat2017-2
quantitative-aptitude
permutation-combination
1
vote
1
answer
14
CAT 2017 Set-2 | Question: 95
In how many ways can $8$ identical pens be distributed among Amal, Bimal, Kamal so that Amal gets at least $1$ pen, Bimal gets a least $2$ pens, and Kamal gets a least $3$ pens? $5$ $6$ $7$ $8$
go_editor
asked
in
Quantitative Aptitude
Mar 16, 2020
by
go_editor
13.4k
points
268
views
cat2017-2
quantitative-aptitude
permutation-combination
1
vote
1
answer
15
CAT 2017 Set-1 | Question: 98
In how many ways can $7$ identical erasers be distributed among $4$ kids in such a way that each kid gets at least one eraser but nobody gets more than $3$ erasers? $16$ $20$ $14$ $15$
go_editor
asked
in
Quantitative Aptitude
Mar 13, 2020
by
go_editor
13.4k
points
186
views
cat2017-1
quantitative-aptitude
permutation-combination
1
vote
1
answer
16
CAT 2016 | Question: 91
A man has $9$ friends: $4$ boys and $5$ girls. In how many ways can he invite them, if there have to be exactly $3$ girls in the invitees ________
go_editor
asked
in
Quantitative Aptitude
Mar 11, 2020
by
go_editor
13.4k
points
98
views
cat2016
quantitative-aptitude
permutation-combination
numerical-answer
0
votes
0
answers
17
CAT 2016 | Question: 98
There are $12$ towns grouped into four zones with three towns per zone. It is intended to connect the towns with telephone lines such that every two towns are connected with three direct lines if they belong to the same zone, and with only one direct line otherwise. How many direct telephone lines are required? $72$ $90$ $96$ $144$
go_editor
asked
in
Quantitative Aptitude
Mar 11, 2020
by
go_editor
13.4k
points
225
views
cat2016
quantitative-aptitude
permutation-combination
0
votes
0
answers
18
CAT 2011 | Question: 2
Rajat draws a $10\times10$ grid on the ground such that there are $100$ identical squares numbered $1\:\text{to}\:100$. If he has to place two identical stones on any two separate squares in the grid, how many distinct ways are possible? $2475$ $4950$ $9900$ $1000$
Krithiga2101
asked
in
Quantitative Aptitude
Mar 9, 2020
by
Krithiga2101
268
points
361
views
cat2011
quantitative-aptitude
permutation-combination
0
votes
0
answers
19
CAT 2012 | Question: 26
Letters of the word ATTRACT are written on cards and are kept on a table. Manish is asked to lift three cards at a time, write all possible combinations of the three letters on a piece of paper and then replace the three cards. The exercise ends when all possible ... , which look the same when seen in a mirror. How many words is he left with? $40$ $20$ $30$ None of these
Chandanachandu
asked
in
Quantitative Aptitude
Mar 5, 2020
by
Chandanachandu
308
points
548
views
cat2012
quantitative-aptitude
permutation-combination
0
votes
0
answers
20
CAT 2010 | Question: 18
In a factory making radioactive substances, it was considered that the three cubes of uranium together are hazardous. So the company authorities decided to have the stack of uranium interspersed with lead cubes. But there is a new worker in a company who does not know the ... wanted. What is the number of hazardous combinations of uranium in a stack of $5?$ $3$ $7$ $8$ $10$
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
485
views
cat2010
quantitative-aptitude
permutation-combination
0
votes
0
answers
21
CAT 2003 | Question: 2-90
An intelligence agency forms a code of two distinct digits selected from $0, 1, 2, \dots 9$ such that the first digit of the code is nonzero. The code, handwritten on a slip, can however potentially create confusion, when read upside down – for example, the code $91$ may appear as $16.$ How many codes are there for which no such confusion can arise? $80$ $78$ $71$ $69$
go_editor
asked
in
Quantitative Aptitude
May 5, 2016
by
go_editor
13.4k
points
477
views
cat2003-2
quantitative-aptitude
permutation-combination
0
votes
1
answer
22
CAT 2003 | Question: 2-84
There are $12$ towns grouped into four zones with three towns per zone. It is intended to connect the towns with telephone lines such that every two towns are connected with three direct lines if they belong to the same zone, and with only one direct line otherwise. How many direct telephone lines are required? $72$ $90$ $96$ $144$
go_editor
asked
in
Quantitative Aptitude
May 5, 2016
by
go_editor
13.4k
points
3.0k
views
cat2003-2
quantitative-aptitude
permutation-combination
0
votes
1
answer
23
CAT 2003 | Question: 2-83
Answer the questions on the basis of the information given below. A string of three English letters is formed as per the following rules The first letter is any vowel. The second letter is $m, n$ or $p$. If the second letter is $m,$ then the third letter is ... can possibly be formed using the above rules such that the third letter of the string is $e?$ $8$ $9$ $10$ $11$
go_editor
asked
in
Quantitative Aptitude
May 5, 2016
by
go_editor
13.4k
points
392
views
cat2003-2
quantitative-aptitude
permutation-combination
0
votes
1
answer
24
CAT 2003 | Question: 2-82
Answer the questions on the basis of the information given below. A string of three English letters is formed as per the following rules The first letter is any vowel. The second letter is $m, n$ or $p$. If the second letter is $m,$ then the third ... same as the first letter. How many strings of letters can possibly be formed using the above rules? $40$ $45$ $30$ $35$
go_editor
asked
in
Quantitative Aptitude
May 5, 2016
by
go_editor
13.4k
points
361
views
cat2003-2
quantitative-aptitude
permutation-combination
0
votes
1
answer
25
CAT 2002 | Question: 92
There are 11 alphabets A, H, I, M, O, T, U, V, W, X, Y, Z. They are called symmetrical alphabets. The remaining alphabets are known as asymmetrical alphabets. How many three-lettered words can be formed such that at least one symmetrical letter is there? $12870$ $18330$ $16420$ None of these
go_editor
asked
in
Quantitative Aptitude
May 2, 2016
by
go_editor
13.4k
points
318
views
cat2002
quantitative-aptitude
permutation-combination
0
votes
1
answer
26
CAT 2002 | Question: 100
A boy is supposed to put a mango into a basket if ordered $1,$ an orange if ordered $2$ and an apple if ordered $3.$ He took out $1$ mango and $1$ orange if ordered $4.$ he was given the following sequence of orders $12332142314223314113234$ At the end of the sequence, what will be the number of fruits in the basket? $10$ $11$ $13$ $17$
go_editor
asked
in
Quantitative Aptitude
May 2, 2016
by
go_editor
13.4k
points
411
views
cat2002
quantitative-aptitude
permutation-combination
0
votes
0
answers
27
CAT 2000 | Question: 93
Answer the following question based on the information given below. Sixteen teams have been invited to participate in the ABC Gold Cup cricket tournament. The tournament is conducted in two stages. In the first stage, the teams are divided into two groups. Each ... end of the first stage. The number of teams with exactly one win in the second stage of the tournament is $4$
go_editor
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in
Quantitative Aptitude
Apr 25, 2016
by
go_editor
13.4k
points
273
views
cat2000
quantitative-aptitude
permutation-combination
0
votes
0
answers
28
CAT 2000 | Question: 92
Answer the following question based on the information given below. Sixteen teams have been invited to participate in the ABC Gold Cup cricket tournament. The tournament is conducted in two stages. In the first stage, the teams are divided into two groups. Each group consists ... next stage. What is the number of rounds in the second stage of the tournament? $1$ $2$ $3$ $4$
go_editor
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in
Quantitative Aptitude
Apr 25, 2016
by
go_editor
13.4k
points
136
views
cat2000
quantitative-aptitude
permutation-combination
0
votes
1
answer
29
CAT 2000 | Question: 91
Answer the following question based on the information given below. Sixteen teams have been invited to participate in the ABC Gold Cup cricket tournament. The tournament is conducted in two stages. In the first stage, the teams are divided into two groups. Each group consists ... first stage in spite of which it would be eliminated at the end of first stage? $1$ $2$ $3$ $4$
go_editor
asked
in
Quantitative Aptitude
Apr 25, 2016
by
go_editor
13.4k
points
372
views
cat2000
quantitative-aptitude
permutation-combination
0
votes
1
answer
30
CAT 2000 | Question: 90
Answer the following question based on the information given below. Sixteen teams have been invited to participate in the ABC Gold Cup cricket tournament. The tournament is conducted in two stages. In the first stage, the teams are divided into two groups. Each group consists ... for a team in the first stage to guarantee its advancement to the next stage is $5$ $6$ $7$ $4$
go_editor
asked
in
Quantitative Aptitude
Apr 25, 2016
by
go_editor
13.4k
points
422
views
cat2000
quantitative-aptitude
permutation-combination
0
votes
0
answers
31
CAT 2000 | Question: 89
Answer the following questions based on the information given below. Sixteen teams have been invited to participate in the ABC Gold Cup cricket tournament. The tournament is conducted in two stages. In the first stage, the teams are divided into two groups. Each group ... to the next stage. What is the total number of matches played in the tournament? $28$ $55$ $63$ $35$
go_editor
asked
in
Quantitative Aptitude
Mar 29, 2016
by
go_editor
13.4k
points
195
views
cat2000
quantitative-aptitude
permutation-combination
0
votes
0
answers
32
CAT 2000 | Question: 67
What is the number of distinct triangles with integral valued sides and perimeter $14? $ $6$ $5$ $4$ $3$
go_editor
asked
in
Quantitative Aptitude
Mar 28, 2016
by
go_editor
13.4k
points
124
views
cat2000
quantitative-aptitude
permutation-combination
1
vote
1
answer
33
CAT 2000 | Question: 63
One red flag, three white flags and two blue flags are arranged in a line such that, no two adjacent flags are of the same colour. the flags at the two ends of the line are of different colours. In how many different ways can the flags be arranged? $6$ $4$ $10$ $2$
go_editor
asked
in
Quantitative Aptitude
Mar 28, 2016
by
go_editor
13.4k
points
3.1k
views
cat2000
quantitative-aptitude
permutation-combination
0
votes
2
answers
34
CAT 2002 | Question: 99
A boy is supposed to put a mango into a basket if ordered $1,$ an orange if ordered $2$ and an apple if ordered $3.$ He took out $1$ mango and $1$ orange if ordered $4.$ he was given the following sequence of orders $12332142314223314113234$ At the end of the sequence, what will be the number of oranges in the basket? $2$ $3$ $4$ $6$
go_editor
asked
in
Quantitative Aptitude
Mar 2, 2016
by
go_editor
13.4k
points
607
views
quantitative-aptitude
cat2002
permutation-combination
0
votes
1
answer
35
CAT 2002 | Question: 91
There are 11 alphabets A, H, I, M, O, T, U, V, W, X, Y, Z. They are called symmetrical alphabets. The remaining alphabets are known as asymmetrical alphabets. How many four-lettered passwords can be formed by using symmetrical letters only? (repetitions not allowed) $1086$ $255$ $7920$ None of these
go_editor
asked
in
Quantitative Aptitude
Mar 2, 2016
by
go_editor
13.4k
points
549
views
cat2002
quantitative-aptitude
permutation-combination
0
votes
0
answers
36
CAT 2002 | Question: 86
In how many ways, we can choose a black and a white square on a chess board such that the two are not in the same row or column? $32$ $96$ $24$ None of these
go_editor
asked
in
Quantitative Aptitude
Mar 2, 2016
by
go_editor
13.4k
points
144
views
cat2002
quantitative-aptitude
permutation-combination
0
votes
0
answers
37
CAT 2002 | Question: 85
How many numbers between $0$ and one million can be formed using $0, 7$ and $8?$ $486$ $1086$ $728$ None of these
go_editor
asked
in
Quantitative Aptitude
Mar 2, 2016
by
go_editor
13.4k
points
184
views
cat2002
quantitative-aptitude
permutation-combination
0
votes
0
answers
38
CAT 2003 | Question: 1-144
There are $6$ boxes numbered $1, 2, \dots,6.$ Each box is to be filled up with a red or green ball in such a way that at least one box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is $5$ $21$ $33$ $60$
go_editor
asked
in
Quantitative Aptitude
Feb 10, 2016
by
go_editor
13.4k
points
145
views
cat2003-1
quantitative-aptitude
permutation-combination
0
votes
0
answers
39
CAT 2003 | Question: 1-134
How many three digit positive integers, with digits $x, y$ and $z$ in the hundred's, ten's and unit's place respectively, exist such that $x < y, z < y$ and $x \neq 0?$ $245$ $285$ $240$ $320$
go_editor
asked
in
Quantitative Aptitude
Feb 8, 2016
by
go_editor
13.4k
points
176
views
cat2003-1
quantitative-aptitude
permutation-combination
0
votes
0
answers
40
CAT 2003 | Question: 1-115
$27$ persons attend a party. Which one of the following statements can never be true? There is a person in the party who is acquainted with all the $26$ members. Each person in the party has a different number of acquaintances. There is a person in the party who has odd number of acquaintances. In the party, there is no set of three mutual acquaintances.
go_editor
asked
in
Quantitative Aptitude
Feb 7, 2016
by
go_editor
13.4k
points
296
views
cat2003-1
quantitative-aptitude
permutation-combination
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