CAT Introduction to Selections and Distributions - Practice Questions & MCQ

Directions for question:

In the recent past in Kolkata, the abduction of primary school children, which was unheard of before, suddenly was on the rise. The Police Commissioner of Kolkata IPS Mr Vineet Kumar Goyal, instructed all the schools in Kolkata to take steps to increase the security of their students during school hours.

St Xavier’s School, Kolkata, already had a security system in place. However, the management, after a survey, decided to beef up the security at Gate D on Short Street, which was rather a secluded area. The management took the decision that there must be two guards guarding Gate D each day of the week from Monday to Saturday. The security agency they did business with sent five top security guards named Ambar, Biplab, Chandan, Dinesh and Ekram for the job. 

However, they had some constraints while performing their duty :

a) None of the guards worked for three consecutive days in a week

b) Ambar did not work on Monday, Tuesday, and Wednesday

c) Biplab and Dinesh both had a service gun and hence never worked on the same day

d) Biplab worked on alternate days and he worked with Ambar on Friday

e) Ekram worked for the maximum number of days in a week amongst all the five guards

f) Both Biplab and Dinesh worked for an odd number of days during the week

g) Two particular guards out of the five worked for the same number of days in a week

h) Each of the rest three guards worked for a distinct number of days

Question: If Ekram worked with one particular guard twice during a week, then which guard worked on the same day as Dinesh?

Directions for question:

In the recent past in Kolkata, the abduction of primary school children, which was unheard of before, suddenly was on the rise. The Police Commissioner of Kolkata IPS Mr Vineet Kumar Goyal, instructed all the schools in Kolkata to take steps to increase the security of their students during school hours.

St Xavier’s School, Kolkata, already had a security system in place. However, the management, after a survey, decided to beef up the security at Gate D on Short Street, which was rather a secluded area. The management took the decision that there must be two guards guarding Gate D each day of the week from Monday to Saturday. The security agency they did business with sent five top security guards named Ambar, Biplab, Chandan, Dinesh and Ekram for the job. 

However, they had some constraints while performing their duty :

a) None of the guards worked for three consecutive days in a week

b) Ambar did not work on Monday, Tuesday, and Wednesday

c) Biplab and Dinesh both had a service gun and hence never worked on the same day

d) Biplab worked on alternate days and he worked with Ambar on Friday

e) Ekram worked for the maximum number of days in a week amongst all the five guards

f) Both Biplab and Dinesh worked for an odd number of days during the week

g) Two particular guards out of the five worked for the same number of days in a week

h) Each of the rest three guards worked for a distinct number of days

Question: If Ambar worked on a Thursday, which guard did he accompany on that day?

Directions for question:

In the recent past in Kolkata, the abduction of primary school children, which was unheard of before, suddenly was on the rise. The Police Commissioner of Kolkata IPS Mr Vineet Kumar Goyal, instructed all the schools in Kolkata to take steps to increase the security of their students during school hours.

St Xavier’s School, Kolkata, already had a security system in place. However, the management, after a survey, decided to beef up the security at Gate D on Short Street, which was rather a secluded area. The management took the decision that there must be two guards guarding Gate D each day of the week from Monday to Saturday. The security agency they did business with sent five top security guards named Ambar, Biplab, Chandan, Dinesh and Ekram for the job. 

However, they had some constraints while performing their duty :

a) None of the guards worked for three consecutive days in a week

b) Ambar did not work on Monday, Tuesday, and Wednesday

c) Biplab and Dinesh both had a service gun and hence never worked on the same day

d) Biplab worked on alternate days and he worked with Ambar on Friday

e) Ekram worked for the maximum number of days in a week amongst all the five guards

f) Both Biplab and Dinesh worked for an odd number of days during the week

g) Two particular guards out of the five worked for the same number of days in a week

h) Each of the rest three guards worked for a distinct number of days

Question: Which of the following statements could never be true?

Directions for question:

In the recent past in Kolkata, the abduction of primary school children, which was unheard of before, suddenly was on the rise. The Police Commissioner of Kolkata IPS Mr Vineet Kumar Goyal, instructed all the schools in Kolkata to take steps to increase the security of their students during school hours.

St Xavier’s School, Kolkata, already had a security system in place. However, the management, after a survey, decided to beef up the security at Gate D on Short Street, which was rather a secluded area. The management took the decision that there must be two guards guarding Gate D each day of the week from Monday to Saturday. The security agency they did business with sent five top security guards named Ambar, Biplab, Chandan, Dinesh and Ekram for the job. 

However, they had some constraints while performing their duty :

a) None of the guards worked for three consecutive days in a week

b) Ambar did not work on Monday, Tuesday, and Wednesday

c) Biplab and Dinesh both had a service gun and hence never worked on the same day

d) Biplab worked on alternate days and he worked with Ambar on Friday

e) Ekram worked for the maximum number of days in a week amongst all the five guards

f) Both Biplab and Dinesh worked for an odd number of days during the week

g) Two particular guards out of the five worked for the same number of days in a week

h) Each of the rest three guards worked for a distinct number of days

Question: If Ekram worked with a different guard every time during the week, then which of the two guards definitely worked on Thursday?

Directions for question: The Indian National Rally Championships (INRC) is a motor rallying series since 1988 which has been governed by the Federation of Motor Sport Clubs of India (FMSCI) since 2009. 

In the last five seasons from 2021 to 2017, the INRC National Champion Driver’s title was won by Mr Amittrajit Ghosh, Mr Gaurav Gill, Mr Karna Kadur, Mr Aditya Thakur and Mr Chetan Shivram, not in the same order.  Each of them won the title while representing a different team among Team Chettinad Sports, Team Yokahama, Team Akshara Racing, Team Ramakrishna Race Performance Management (in short Team RRPM) and Team JK Tyres

The gentleman winning the National Champion Driver’s title representing Team RRPM won it neither in 2021 nor 2017. Mr Karna Kadur won the title representing Team Yokohama, where he was assisted by the legendary navigator Mr Nikhil V. Pai, who came out of retirement for only that one season in 2012. The National Champion Driver’s title in 2019 was won by Mr Chetan Shivram, and in 2020 by the gentleman representing Team JK Tyres. Mr Aditya Thakur won the title when he was representing Team Chettinad Sports, but that was not in 2017. Mr Amittrajit Ghosh won the INRC National Champion Driver title neither with Team Akshara Racing nor in 2020.

Question: The gentleman from which team won the INRC National Champion Driver’s title in 2018?

Directions for question: The Indian National Rally Championships (INRC) is a motor rallying series since 1988 which has been governed by the Federation of Motor Sport Clubs of India (FMSCI) since 2009. 

In the last five seasons from 2021 to 2017, the INRC National Champion Driver’s title was won by Mr Amittrajit Ghosh, Mr Gaurav Gill, Mr Karna Kadur, Mr Aditya Thakur and Mr Chetan Shivram, not in the same order.  Each of them won the title while representing a different team among Team Chettinad Sports, Team Yokahama, Team Akshara Racing, Team Ramakrishna Race Performance Management (in short Team RRPM) and Team JK Tyres

The gentleman winning the National Champion Driver’s title representing Team RRPM won it neither in 2021 nor 2017. Mr Karna Kadur won the title representing Team Yokohama, where he was assisted by the legendary navigator Mr Nikhil V. Pai, who came out of retirement for only that one season in 2012. The National Champion Driver’s title in 2019 was won by Mr Chetan Shivram, and in 2020 by the gentleman representing Team JK Tyres. Mr Aditya Thakur won the title when he was representing Team Chettinad Sports, but that was not in 2017. Mr Amittrajit Ghosh won the INRC National Champion Driver title neither with Team Akshara Racing nor in 2020.

Question: Which of the following gentlemen won the INRC National Champion Driver’s title representing Team RRPM?

Directions for question:
Gautami, Helen, Ileana, Jaya, Katrina, Lara, Madhuri, Neha and Oviya were nine actresses from among whom three teams consisting respectively of two, three and four members had to be formed, one team each for each of the sequels of an epic trilogy to be shot by a renowned director, in any order.

The following were the conditions for the selection in the formation of the teams :

a) Ileana had to have three more actresses with her, as the sequel for which she was selected had four lady characters

b) Ileana and Oviya would represent the same character in the sequels of the trilogy, so could not be in the same team

c) Neha and Helen would also represent the same character in the sequels of the trilogy, so could not be in the same team

d) Lara and Madhuri would represent the character of twins in one of the sequels of the trilogy and hence had to be together in the team

e) Jaya was acting in the sequel which had only three lady characters

Question: If Ileana did not have Neha in her team and Oviya and Gautami constituted the two-member team, then the actresses with Ileana had to be ………..?