# Condition BasedSet 1

## Practice Questions for CAT with Solutions

### 1. CAT - Condition Based

Five students – A, B, C, D and E – wrote an objective type test paper in which there were four questions – Q1, Q2, Q3 and Q4 – with four possible answer choices – 1, 2, 3 and 4 – for each question. Only one choice is correct for each question and the correct answer choice for no two questions is the same. One mark is awarded for every correct answer and there is no negative marking for wrong answers. Each student attempted all the questions and each got a different score.
Further, the following information is known:

1. ​​A, B, C and E marked choice 3 for Q2, whereas A, B, D and E marked choice 2 for Q4.
2. D got the lowest score and B’s score was less than that of E.
3. The number of questions for which both C and E marked the same answer choice is not more than two.
4. B, D and E marked choice 1 for Q3, and A marked choice 4 for Q1.
5. Between Q1 and Q2, B marked choice 3 for one and choice 1 for the other, not necessarily in that order.
6. D did not mark the same choice for any two questions.

Q1. Who among the given students got three marks?

1. E
2. A
3. B
4. Cannot be determined
Q2. Which answer choice did D mark for Q1?
1. 3
2. 4
3. 2
4. Cannot be determined
Q3. How many of the five students marked four distinct answer choices for the four questions?
Q4. Who among the following students marked the wrong answer choice for Q1?
1. A
2. E
3. B
4. C

b. A

a. 3

3

c. B

### 2. CAT - Condition Based

Four women – Amrita, Babita, Chameli and Dimple – and three men – Eshwar, Farooq and Ganesh — were part of a party. These men and women comprised three married couples and a widow. The widow was the host of the party. After the party, they decided to play carom. They played exactly four games, each starting at 9:00 pm, 10:00 pm, 11:00 pm and 12:00 am respectively. The following information was also known about the games:
1. The host played in the first and the last game.
2. The members of any married couple were never partners in a game.
3. The host won none of the games, while Dimple and Amrita won exactly one game each.
4. As Eshwar was getting late, he didn’t play after the 10:00 pm game.
5. Not more than one married couple ever played in the same game.

Apart from this, the teams in each game (in no specific order) are as listed below.

Q1. Who is the host?
Q2. Who won the 11:00 pm match?
Q3. Who among the following won the maximum number of matches?
1. Dimple
2. Chameli
3. Farooq
4. Ganesh

Q4. Members of the winning team gets 2 point each, while members of the losing team gets 1 point each. Which among the following pair of people had the highest total points?

1. Eshwar and Chameli
2. Dimple and Eshwar
3. Chameli and Farooq
4. Babita and Dimple

Chameli

Amrita and Ganesh

d. Ganesh

c. Chameli and Farooq

### 3. CAT - Condition Based

5000 applicants from 3 different backgrounds, – B.Tech., B.Com. and B.Sc., applied for jobs in a software company.

It was observed that some of the applicants with experience did not have any certification, but all those without any experience had either a .NET or a Java certification or both.

Further 20% of the total applicants are from B.Tech. background.

The total number of applicants who have both .Net and Java certification is 1400, of which 200 are from B.Com. background.

According to the table, of the B.Tech. applicants, 40% are experienced, 60% hold a Java certification and 40% neither hold .NET nor Java certification

Q1. What percentage of the total applicants hold a Java certification?
Q2. How many Java certification holders are from B.Com. Background?
Q3. How many applicants from B.Sc. background are experienced?
Q4. What is the maximum number of B.Com applicants without experience having exactly one certification?

56%

600

1200

1400

### 4. CAT - Condition Based

Akshay, Manoj, Pradeep, Vishal, Vinod and Priya received a total of fifty presents for Christmas. The difference in the number of presents received by Manoj and Akshay is same as that received by Vinod and Priya.

The number of presents that Manoj received is twice that of Vishal.

The number of presents received by Pradeep is thrice that of Vinod.

The number of presents received by Priya, Vinod, Vishal, Pradeep, Manoj and Akshay are in increasing order.

Q1. What was the median value of number of presents received?
Q2. How many presents have Akshay and Priya together received?
Q3. Sid planned to give this group a few more presents such that the number of presents with the group formed an increasing A.P. A specific person may or may not have received extra presents, but no person saw a decrease in original number of presents with him/her. What would be the minimum number of extra presents that Sid would need to buy?
Q4. Akshay split exactly half of his presents equally among two other people in the group, such that the total count of prime numbers in the group remained constant. In how many ways could he have done it, if no two numbers in the new group were the same?

8

17

7

2

### 5. CAT - Condition Based

There were seven students A through G who took an exam that had four subjects viz., QA, VA, LR and DI. Their scores/marks are integrally scaled to 10. The highest by anybody in any of the papers is 10 and the lowest is 5. Average indicates average score in the four subjects. None of the students, except A, got the same marks in more than one subject. Not more than one student got 10 marks in any of the subjects. Except for B all the students got 5 marks in one of the subjects. A, B, C, and D were the only students to get 10 marks and they got 10 marks in different subjects. Their averages are 6.5, 7, 7.25, 7.5, 7.75, 8, 8.25 not in any particular order. The table below shows the marks obtained by different students in different subjects

Q1. Which of the following is the value of (f + l)?
1. 16
2. 13
3. 15
4. 18
Q2. Which of the following can be the maximum value of (a + c + j)?
1. 26
2. 29
3. 25
4. 27
Q3. Which of the following cannot be the value of (g + m + n)?
1. 21
2. 22
3. 23
4. 24
Q4. What is the average score per student per subject?
1. 7.83
2. 6.33
3. 6.92
4. 7.46

b. 13

a. 26

d. 24

d. 7.46

### 6. CAT - Condition Based

There were seven students A through G who took an exam that had four subjects viz., QA, VA, LR and DI. Their scores/marks are integrally scaled to 10. The highest by anybody in any of the papers is 10 and the lowest is 5. Average indicates average score in the four subjects. None of the students, except A, got the same marks in more than one subject. Not more than one student got 10 marks in any of the subjects. Except for B all the students got 5 marks in one of the subjects. A, B, C, and D were the only students to get 10 marks and they got 10 marks in different subjects. Their averages are 6.5, 7, 7.25, 7.5, 7.75, 8, 8.25 not in any particular order. The table below shows the marks obtained by different students in different subjects

Q1. To have a majority in the Lok Sabha, a party needs to have the support of atleast 55% of the MPs. Winning all seats in which combination of zones will give a party a majority, without it having to win a single seat in the remaining zones? 1 MP corresponds to 1 seat.
1. North and South
2. North and East
3. West and North
4. None
Q2. What is the lowest number of votes received by any candidate from a zone?
Q3. Due to technical issues, a re-election has been announced. A is expected to get the same votes as earlier. To ensure A’s defeat, B and C have entered into a back channel agreement, where all MPs voting for B from a certain zone would vote for C. All MPs originally voting for C would maintain their vote. Which zone’s shift to C would ensure a victory for C?
1. North
2. West
3. East
4. South

d. None

28

d. South

### 7. CAT - Condition Based

Amazon, Boomers, Crawlers, Dabblers and Easers, are all warehousing corporations specializing in handling different types of cargo viz. Rubber products, Elastomers, Operative tools, Hydraulics and Sanitary products, not necessarily in that order. These warehouses are all located in the same city but in different areas viz. Danto Point, Kinjo Point, Pinto Point, Mingo Point and Chino Point and have their cargo coming in from the cities Calicut, Erode, Agra, Coimbatore and Salem, not necessarily in that order.

Only one of the warehousing corporations has its name, its location in the city and the name of the city from where it receives cargo starting with the same letter.

Only one warehousing corporation has its name, cargo handling specialization, location in the city and the city from which it receives its cargo; all starting with different letters. The remaining warehousing corporations have at least one of the parameters (cargo handling specialization, location in the city and the city from which it receives its cargo) starting with the same letter as their name. Also:

Dabblers receives its cargo from Erode.

Amazon is located at Mingo Point but does not specialize in handling Rubber products and Elastomers.

Boomers specializes in handling Hydraulics.

The warehouse which receives its cargo from Agra does not handle Sanitary products.

Q1. Which of the following warehousing corporations specializes in handling Operative tools?
1. Amazon
2. Boomers
3. Crawlers
4. Dabblers
Q2. If Crawlers does not receive its cargo from Coimbatore, from where does Easers receive its cargo?
1. Calicut or Coimbatore
2. Salem
3. Salem or Calicut
4. Salem or Coimbatore
Q3. The warehouse which specializes in handling Elastomers is located in which part of the city?
1. Kinjo Point
2. Pinto Point
3. Chino Point
4. CBD

a. Amazon

d. Salem or Calicut

d. CBD

### 8. CAT - Condition Based

Chart 1 below shows the number of days when the Indian cricket team played matches in various formats. A Test match is played for exactly five days while One-day and T20 matches are played in a single day. The team plays only one match per day.
Chart 2 below shows the number of days when the Indian cricket team played various formats outside India as a percentage of the total number of days they played the same format in that year.

Q1. In which year did the team play the maximum number of test matches outside India?
1. 2011
2. 2012
3. 2013
4. 2014
Q2. What was the number of matches played by the team in India in the year 2011?
1. 57
2. 21
3. 37
4. 41
Q3. In which year is the magnitude of percentage change in the number of one-day matches played in India over the previous year the highest?
1. 2010
2. 2011
3. 2012
4. 2013
Q4. What is the ratio of the highest number of one-day matches played by the team in India in any year to the highest number of T20 matches played outside India in any year?

d. 2014

d. 41

d. 2013

1 : 1

### 9. CAT - Condition Based

In the recently held city sports meet in Indore, contestants Jai, Ajit, Bimal, Veeru, Daniel, Aman, Chinoy, and Amjad bagged between them a total of 59 medals. Given below is the data related to the medals received by the contestants.
1. Bimal won five times the number of medals Chinoy won.
2. Chinoy has one more medal than Aman.
3. If Daniel had won four more medals, he would have won the same number of medals as Jai.
4. Veeru had won eight more medals than one-third the number of medals won by Ajit.
5. If Jai had won one more medal than three times the number of medals he has won then, he would have won thirteen more medals than Amjad.

Q1. What is the highest number of medals that a person could have got?

1. 26
2. 28
3. 25
4. 27

Q2. What is the difference between the maximum and minimum number of medals that Amjad could have won?

1. 27
2. 18
3. 12
4. None

Q3. If Veeru had won 12 medals, how many medals would Jai and Chinoy win together?

1. 12
2. 8
3. 10
4. 6

Q4. If Bimal had won the least possible number of medals for him, who won the least number of medals?

1. Ajit
2. Aman
3. Daniel
4. Cannot be determined

d. 27

b. 18

c. 10

b. Aman

### 10. CAT - Condition Based

A, B C, D, and E are five students in a class. They had five subjects for their first term exam – Physics, Chemistry, Mathematics, Biology, and English. After the results were declared, it was noticed that every one of them was in the top five ranks in each subject. No student had the same rank in more than one subject. Also, in no subject did no two or more students have the same rank. D and A were ranked first and last respectively in a particular subject. The ranks of A, B, C, and D were respectively in A.P. in one of the subjects. B’s rank was a prime number in Chemistry, Biology and Mathematics. A was ranked first in Mathematics and B was ranked fifth. B stood first in Physics. A and C stood third in English and Biology respectively.

Q1. What was E’s rank in Mathematics?

1. 1
2. 3
3. 4
4. CBD
Q2. What was D’s rank in English?
1. 2
2. 5
3. 1
4. CBD

Q3. In how many subjects had D outperformed both C and E?

1. 2
2. 1
3. 0
4. CBD

Q4. If these are the only students in the class, who got the penultimate rank in Physics?

1. C
2. D
3. A
4. CBD

b. 3

a. 2

b. 1