CAT LR Selection With Condition Questions & Solutions
A sample of real CAT LR Selection With Condition past-year questions, each with a worked solution and the correct answer highlighted. AthenaPrep has 41 LR Selection With Condition questions in all — sign up free to practise them timed.
Passage
Three reviewers Amal, Bimal, and Komal are tasked with selecting questions from a pool of 13 questions (Q01 to Q13). Questions can be created by external “subject matter experts” (SMEs) or by one of the three reviewers. Each of the reviewers either approves or disapproves a question that is shown to them. Their decisions lead to eventual acceptance or rejection of the question in the manner described below.
If a question is created by an SME, it is reviewed first by Amal, and then by Bimal. If both of them approve the question, then the question is accepted and is not reviewed by Komal. If both disapprove the question, it is rejected and is not reviewed by Komal. If one of them approves the question and the other disapproves it, then the question is reviewed by Komal. Then the question is accepted only if she approves it.
A question created by one of the reviewers is decided upon by the other two. If a question is created by Amal, then it is first reviewed by Bimal. If Bimal approves the question, then it is accepted. Otherwise, it is reviewed by Komal. The question is then accepted only if Komal approves it. A similar process is followed for questions created by Bimal, whose questions are first reviewed by Komal, and then by Amal only if Komal disapproves it. Questions created by Komal are first reviewed by Amal, and then, if required, by Bimal.
The following facts are known about the review process after its completion.
- Q02, Q06, Q09, Q11, and Q12 were rejected and the other questions were accepted.
- Amal reviewed only Q02, Q03, Q04, Q06, Q08, Q10, Q11, and Q13.
- Bimal reviewed only Q02, Q04, Q06 through Q09, Q12, and Q13.
- Komal reviewed only Q01 through Q05, Q07, Q08, Q09, Q11, and Q12.
Q1.CAT 2021How many questions were DEFINITELY created by Amal?
Answer: 3
- Q2.CAT 2021
How many questions were DEFINITELY disapproved by Bimal?
3
4
7
5
Passage
In the table below the check marks indicate all languages spoken by five people: Paula, Quentin, Robert, Sally and Terence. For example, Paula speaks only Chinese and English.
Arabic Basque Chinese Dutch English French Paula ✓ ✓ Quentin ✓ ✓ Robert ✓ ✓ Sally ✓ ✓ Terence ✓ ✓ These five people form three teams, Team 1, Team 2 and Team 3. Each team has either 2 or 3 members. A team is said to speak a particular language if at least one of its members speak that language.
The following facts are known.- Each team speaks exactly four languages and has the same number of members.
- English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team.
- None of the teams include both Quentin and Robert.
- Paula and Sally are together in exactly two teams.
- Robert is in Team 1 and Quentin is in Team 3.
Q3.CAT 2019Who among the following four is not a member of Team 2?
Paula
Terence
Quentin
Sally
Passage
Two traders, Chetan and Michael, were involved in the buying and selling Of MCS shares over five trading days. At the beginning of the first day, the MCS share was priced at Rs 100, while at the end of the fifth day it was priced at Rs 110. At the end of each day, the MCS share price either went up by Rs 10, or else, it came down by Rs 10. Both Chetan and Michael took buying and selling decisions at the end of each trading day. The beginning price of MCS share on a given day was the same as the ending price of the previous day. Chetan and Michael started with the same number of shares and amount of cash, and had enough of both. Below are some additional facts about how Chetan and Michael traded over the five trading days.
• Each day if the price went up, Chetan sold 10 shares of MCS at the closing price. On the other hand, each day if the price went down, he bought 10 shares at the closing price.
• If on any day, the closing price was above Rs 110, then Michael sold 10 shares of MCS, while if it was below Rs 90, he bought 10 shares, all at the closing price.
Q4.CAT 2006If Chetan sold 10 shares of MCS on three consecutive days, while Michael sold 10 shares only once during the five days, what was the price of MCS at the end of day 3?
Rs 90
Rs 100
Rs 110
Rs 120
Rs 130
- Q5.CAT 2006
What could have been the maximum possible increase in combined cash balance of Chetan and Michael at the end of the fifth day?
Rs 3700
Rs 4000
Rs 4700
Rs 5000
Rs 6000
Passage
K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department, subject to the following conditions:
- A team must include exactly one among P,R and S.
- A team must include either M or Q, but not both.
- If a team includes K, then it must also include L, and vice versa.
- If a team includes one among S, U and W, then it should also include the other two.
- L and N cannot be members of the same team.
- L and U cannot be members of the same team.
The size of a team is defined as the number of members in the team.
Q6.CAT 2006What would be the size of the largest possible team?
8
7
6
5
cannot be determined
Passage
Venkat, a stockbroker, invested a part of his money in the stock of four companies --- A, B, C and D. Each of these companies belonged to different industries, viz., Cement, Information Technology (IT), Auto, and Steel, in no particular order. At the time of investment, the price of each stock was Rs.100. Venkat purchased only one stock of each of these companies. He was expecting returns of 20%, 10%, 30%, and 40% from the stock of companies A, B, C and D, respectively. Returns are defined as the change in the value of the stock after one year, expressed as a percentage of the initial value. During the year, two of these companies announced extraordinarily good results. One of these two companies belonged to the Cement or the IT industry, while the other one belonged to either the Steel or the Auto industry. As a result, the returns on the stocks of these two companies were higher than the initially expected returns. For the company belonging to the Cement or the IT industry with extraordinarily good results, the returns were twice that of the initially expected returns. For the company belonging to the Steel or the Auto industry, the returns on announcement of extraordinarily good results were only one and a half times that of the initially expected returns. For the remaining two companies, which did not announce extraordinarily good results, the returns realized during the year were the same as initially expected.
Q7.CAT 2005What is the minimum average return Venkat would have earned during the year?
30%
31.25%
32.5%
Cannot be determined
- Q8.CAT 2005
If Company C belonged to the Cement or the IT industry and did announce extraordinarily good results, then which of these statement(s) would necessarily be true?
I. Venkat earned not more than 36.25% return on average.
II. Venkat earned not less than 33.75% return on average.
III. If Venkat earned 33.75% return on average, Company A announced extraordinarily good results.
IV. If Venkat earned 33.75% return on average, Company B belonged either to Auto or to Steel Industry.
I and II only
II and IV only
II and III only
III and IV only
Passage
Directions for the following four questions: Answer the questions on the basis of the information given below.
Twenty one participants from four continents (Africa, Americas, Australasia, and Europe) attended a United Nations conference. Each participant was an expert in one of four fields, labour, health, population studies, and refugee relocation. The following five facts about the participants are given.
(a) The number of labour experts in the camp was exactly half the number of experts in each of the three other categories.
(b) Africa did not send any labour expert. Otherwise, every continent, including Africa, sent at least one expert for each category.
(c) None of the continents sent more than three experts in any category.
(d) If there had been one less Australasian expert, then the Americas would have had twice as many experts as each of the other continents.
(e) Mike and Alfanso are leading experts of population studies who attended the conference. They are from Australasia.
Q9.CAT 2004Which of the following numbers cannot be determined from the information given?
Number of labour experts from the Americas.
Number of health experts from Europe.
Number of health experts from Australasia.
Number of experts in refugee relocation from Africa.
Passage
DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.
Colour Rs / liter RED 20 YELLOW 25 WHITE 15 ORANGE 22 PINK 18 Rang Barsey Paint Company (RBPC) is in the business of manufacturing paints. RBPC buys RED, YELLOW, WHITE, ORANGE, and PINK paints. ORANGE paint can be also produced by mixing RED and YELLOW paints in equal proportions. Similarly, PINK paint can also be produced by mixing equal amounts of RED and WHITE paints. Among other paints, RBPC sells CREAM paint, (formed by mixing WHITE and YELLOW in the ratio 70:30) AVOCADO paint (formed by mixing equal amounts of ORANGE and PINK paint) and WASHEDORANGE paint (formed by mixing equal amounts of ORANGE and WHITE paint). The following table provides the price at which RBPC buys paints.
Q10.CAT 2003Assume that AVOCADO, CREAM and WASHEDORANGE each sells for the same price. Which of the three is the most profitable to manufacture?
AVOCADO
CREAM
WASHEDORANGE
Sufficient data is not available.
Passage
Directions for the following three questions: Answer the questions based on the passage below.
A group of three or four has to be selected from seven persons. Among the seven are two women: Fiza and Kavita, and five men: Ram, Shyam, David, Peter and Rahim. Ram would not like to be in the group If Shyam is also selected. Shyam and Rahim want to be selected together in the group. Kavita would like to be in the group only if David is also there. David, if selected, would not like Peter in the group. Ram would like to be in the group only if Peter is also there. David insists that Fiza be selected in case he is there in the group.
Q11.CAT 2001Which of the following is a feasible group of three?
David, Ram and Rahim
Peter, Shyam and Rahim
Kavita, David and Shyam
Fiza, David and Ram
- Q12.CAT 2000
My bag can carry no more than ten books, I must carry at least one book each of management, mathematics, physics and fiction. Also, for every management book I carry I must carry two or more fiction books, and for every mathematics book I carry I must carry two or more physics books. I earn 4, 3, 2 and 1 points for each management, mathematics, physics and fiction book, respectively, I carry in my bag. I want to maximise the points I can earn by carrying the most appropriate combination of books in my bag. The maximum points that I can earn are:
20
21
22
23
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