Master CAT Selection with Conditioning Questions with practice questions and detailed solutions.
Instructions
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.
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. (1) Each team speaks exactly four languages and has the same number of members. (2) English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team. (3) None of the teams include both Quentin and Robert. (4) Paula and Sally are together in exactly two teams. (5) Robert is in Team 1 and Quentin is in Team 3.
Question 1.
Who among the following four is not a member of Team 2?
From statement 1 and 2,Each team speaks exactly four languages. English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team, multiple options are possible.
In the following tables: A, B, C can be any team among Team 1,Team 2,Team 3.
From the data given in the question, the person who speaks Arabic also speaks French. Thus the only option possible is 'Table 2'.
According to statement 4, "Paula and Sally are together in exactly two teams."
Sally knows Basque, thus, she will be in group A and B, with Paula.
According to statement 5, Robert(Arabic) is in Team 1 and Quentin(Dutch) is in Team 3.
From statement 1 and 2,Each team speaks exactly four languages. English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team, multiple options are possible.
In the following tables: A, B, C can be any team among Team 1,Team 2,Team 3.
From the data given in the question, the person who speaks Arabic also speaks French. Thus the only option possible is 'Table 2'.
According to statement 4, "Paula and Sally are together in exactly two teams."
Sally knows Basque, thus, she will be in group A and B, with Paula.
According to statement 5, Robert(Arabic) is in Team 1 and Quentin(Dutch) is in Team 3.
From statement 1 and 2,Each team speaks exactly four languages. English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team, multiple options are possible.
In the following tables: A, B, C can be any team among Team 1,Team 2,Team 3.
From the data given in the question, the person who speaks Arabic also speaks French. Thus the only option possible is 'Table 2'.
According to statement 4, "Paula and Sally are together in exactly two teams."
Sally knows Basque, thus, she will be in group A and B, with Paula.
According to statement 5, Robert(Arabic) is in Team 1 and Quentin(Dutch) is in Team 3.
From statement 1 and 2,Each team speaks exactly four languages. English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team, multiple options are possible.
In the following tables: A, B, C can be any team among Team 1,Team 2,Team 3.
From the data given in the question, the person who speaks Arabic also speaks French. Thus the only option possible is 'Table 2'.
According to statement 4, "Paula and Sally are together in exactly two teams."
Sally knows Basque, thus, she will be in group A and B, with Paula.
According to statement 5, Robert(Arabic) is in Team 1 and Quentin(Dutch) is in Team 3.
Thus, Group C is Team 1 and Group A is Team 3.
From the table, the correct option is A.
Instructions
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.
1. Q02, Q06, Q09, Q11, and Q12 were rejected and the other questions were accepted. 2. Amal reviewed only Q02, Q03, Q04, Q06, Q08, Q10, Q11, and Q13. 3. Bimal reviewed only Q02, Q04, Q06 through Q09, Q12, and Q13. 4. Komal reviewed only Q01 through Q05, Q07, Q08, Q09, Q11, and Q12.
Question 5.
How many questions were DEFINITELY created by the SMEs?
For a question created by externals(SME), the minimum number of reviews required is two and the maximum number of reviews is three to confirm the acceptance or the rejection.
For a question created by anyone among Amal, Bimal, Komal a question can be reviewed after one review or two reviews.
The information provided states :
Q02, Q06, Q09, Q11, and Q12 were rejected. Q01, Q03, Q04, Q05, Q07, Q08, Q10, Q13 were accepted.
For the questions :
Amal - Q02, Q03, Q04, Q06, Q08, Q10, Q11, and Q13.
Q01 is reviewed by only Komal and is accepted hence Bimal must have prepared the question as it was accepted in a single review. (Bimal)
Q02-is reviewed by Amal, Bimal, and Komal and was rejected this has a possibility of being prepared by an external person and faced rejection by one among Amal and Bimal and Komal. (SME).
Q03-Was accepted and reviewed by Amal, Komal and hence must have been prepared by Bimal(Bimal).
Q04- Accepted and reviewed by the three of them and hence must have been prepared by an external expert. (SME).
Q05-Only reviewed by Komal and is accepted and hence must be prepared by Bimal. (Bimal)
Q06-Rejected and reviewed by Amal and Bimal. Hence could have been prepared by Komal or External and rejected by Bimal and Amal. (Komal/SME).
Q07-Accepted and reviewed by Bimal and Komal. Hence must have been prepared by Amal. (Amal).
Q08- Reviewed by Amal, Bimal, and Komal and is accepted. Hence must have been prepared by SME. (SME)
Q09- Reviewed by Bimal and Komal and is rejected. It must have been prepared by Amal and was rejected by both of them. (Amal).
Q10- Was reviewed by Amal and was accepted. Must have been prepared by Komal. (Komal)
Q11- Reviewed by Amal and Komal and was rejected. Must have been prepared by Bimal and rejected by both Amal and Komal. (Bimal)
Q12- Reviewed by Bimal and Komal and was rejected. Must have been prepared by Amal and was rejected by both Bimal and Komal. (Amal).
Q13- Reviewed by Amal and Bimal and was accepted. The question could have been prepared by Komal or SME. (Komal/SME).
Q02, Q04, Q08 were prepared SME
Question 6.
How many questions were DEFINITELY created by Komal?
For a question created by externals(SME), the minimum number of reviews required is two and the maximum number of reviews is three to confirm the acceptance or the rejection.
For a question created by anyone among Amal, Bimal, Komal a question can be reviewed after one review or two reviews.
The information provided states :
Q02, Q06, Q09, Q11, and Q12 were rejected. Q01, Q03, Q04, Q05, Q07, Q08, Q10, Q13 were accepted.
For the questions :
Amal - Q02, Q03, Q04, Q06, Q08, Q10, Q11, and Q13.
Q01 is reviewed by only Komal and is accepted hence Bimal must have prepared the question as it was accepted in a single review. (Bimal)
Q02-is reviewed by Amal, Bimal, and Komal and was rejected this has a possibility of being prepared by an external person and faced rejection by one among Amal and Bimal and Komal. (SME).
Q03-Was accepted and reviewed by Amal, Komal and hence must have been prepared by Bimal(Bimal).
Q04- Accepted and reviewed by the three of them and hence must have been prepared by an external expert. (SME).
Q05-Only reviewed by Komal and is accepted and hence must be prepared by Bimal. (Bimal)
Q06-Rejected and reviewed by Amal and Bimal. Hence could have been prepared by Komal or External and rejected by Bimal and Amal. (Komal/SME).
Q07-Accepted and reviewed by Bimal and Komal. Hence must have been prepared by Amal. (Amal).
Q08- Reviewed by Amal, Bimal, and Komal and is accepted. Hence must have been prepared by SME. (SME)
Q09- Reviewed by Bimal and Komal and is rejected. It must have been prepared by Amal and was rejected by both of them. (Amal).
Q10- Was reviewed by Amal and was accepted. Must have been prepared by Komal. (Komal)
Q11- Reviewed by Amal and Komal and was rejected. Must have been prepared by Bimal and rejected by both Amal and Komal. (Bimal)
Q12- Reviewed by Bimal and Komal and was rejected. Must have been prepared by Amal and was rejected by both Bimal and Komal. (Amal).
Q13- Reviewed by Amal and Bimal and was accepted. The question could have been prepared by Komal or SME. (Komal/SME).
Q10 was definitely prepared by Komal.
Question 7.
How many questions were DEFINITELY disapproved by Bimal?
For a question created by externals(SME), the minimum number of reviews required is two and the maximum number of reviews is three to confirm the acceptance or the rejection.
For a question created by anyone among Amal, Bimal, Komal a question can be reviewed after one review or two reviews.
The information provided states :
Q02, Q06, Q09, Q11, and Q12 were rejected. Q01, Q03, Q04, Q05, Q07, Q08, Q10, Q13 were accepted.
For the questions :
Amal - Q02, Q03, Q04, Q06, Q08, Q10, Q11, and Q13.
Q01 is reviewed by only Komal and is accepted hence Bimal must have prepared the question as it was accepted in a single review. (Bimal)
Q02-is reviewed by Amal, Bimal, and Komal and was rejected this has a possibility of being prepared by an external person and faced rejection by one among Amal and Bimal and Komal. (SME).
Q03-Was accepted and reviewed by Amal, Komal and hence must have been prepared by Bimal(Bimal).
Q04- Accepted and reviewed by the three of them and hence must have been prepared by an external expert. (SME).
Q05-Only reviewed by Komal and is accepted and hence must be prepared by Bimal. (Bimal)
Q06-Rejected and reviewed by Amal and Bimal. Hence could have been prepared by Komal or External and rejected by Bimal and Amal. (Komal/SME).
Q07-Accepted and reviewed by Bimal and Komal. Hence must have been prepared by Amal. (Amal).
Q08- Reviewed by Amal, Bimal, and Komal and is accepted. Hence must have been prepared by SME. (SME)
Q09- Reviewed by Bimal and Komal and is rejected. It must have been prepared by Amal and was rejected by both of them. (Amal).
Q10- Was reviewed by Amal and was accepted. Must have been prepared by Komal. (Komal)
Q11- Reviewed by Amal and Komal and was rejected. Must have been prepared by Bimal and rejected by both Amal and Komal. (Bimal)
Q12- Reviewed by Bimal and Komal and was rejected. Must have been prepared by Amal and was rejected by both Bimal and Komal. (Amal).
Q13- Reviewed by Amal and Bimal and was accepted. The question could have been prepared by Komal or SME. (Komal/SME).
Q06 irrespective of the question prepared by Komal/SME Bimal must reject the question.
Q07, Q09, Q12 are prepared by Amal and were reviewed by Bimal first and Komal next for this to happen Bimal must reject these questions.
Hence a total of four questions were rejected by Bimal.
Question 8.
The approval ratio of a reviewer is the ratio of the number of questions (s)he approved to the number of questions (s)he reviewed. Which option best describes Amal's approval ratio?
For a question created by externals(SME), the minimum number of reviews required is two and the maximum number of reviews is three to confirm the acceptance or the rejection.
For a question created by anyone among Amal, Bimal, Komal a question can be reviewed after one review or two reviews.
The information provided states :
Q02, Q06, Q09, Q11, and Q12 were rejected. Q01, Q03, Q04, Q05, Q07, Q08, Q10, Q13 were accepted.
For the questions :
Amal - Q02, Q03, Q04, Q06, Q08, Q10, Q11, and Q13.
Q01 is reviewed by only Komal and is accepted hence Bimal must have prepared the question as it was accepted in a single review. (Bimal)
Q02-is reviewed by Amal, Bimal, and Komal and was rejected this has a possibility of being prepared by an external person and faced rejection by one among Amal and Bimal and Komal. (SME).
Q03-Was accepted and reviewed by Amal, Komal and hence must have been prepared by Bimal(Bimal).
Q04- Accepted and reviewed by the three of them and hence must have been prepared by an external expert. (SME).
Q05-Only reviewed by Komal and is accepted and hence must be prepared by Bimal. (Bimal)
Q06-Rejected and reviewed by Amal and Bimal. Hence could have been prepared by Komal or External and rejected by Bimal and Amal. (Komal/SME).
Q07-Accepted and reviewed by Bimal and Komal. Hence must have been prepared by Amal. (Amal).
Q08- Reviewed by Amal, Bimal, and Komal and is accepted. Hence must have been prepared by SME. (SME)
Q09- Reviewed by Bimal and Komal and is rejected. It must have been prepared by Amal and was rejected by both of them. (Amal).
Q10- Was reviewed by Amal and was accepted. Must have been prepared by Komal. (Komal)
Q11- Reviewed by Amal and Komal and was rejected. Must have been prepared by Bimal and rejected by both Amal and Komal. (Bimal)
Q12- Reviewed by Bimal and Komal and was rejected. Must have been prepared by Amal and was rejected by both Bimal and Komal. (Amal).
Q13- Reviewed by Amal and Bimal and was accepted. The question could have been prepared by Komal or SME. (Komal/SME).
Amal reviewed the questions : Q02, Q03, Q04, Q06, Q08, Q10, Q11, and Q13.
For Q2 - Amal can either approve or reject the question.
For Q3- Amal must approve the question.
For Q4 -Amal can either approve or reject the question.
For Q06 - Amal must reject the question.
For Q08 - Amal can either approve or reject the question.
For Q10 - Amal must approve the question.
For Q11 - Amal must reject the question.
For Q13- Amal can either approve or reject the question.
The approval ratio has a minimum of 2 questions only Q3, Q10, and a maximum of 6 questions Q02, Q3, Q04, Q08, Q10, Q13.
Hence 2/8 = 0.25 to 6/8 = 0.75
Question 9.
How many questions created by Amal or Bimal were disapproved by at least one of the other reviewers?
For a question created by externals(SME), the minimum number of reviews required is two and the maximum number of reviews is three to confirm the acceptance or the rejection.
For a question created by anyone among Amal, Bimal, Komal a question can be reviewed after one review or two reviews.
The information provided states :
Q02, Q06, Q09, Q11, and Q12 were rejected. Q01, Q03, Q04, Q05, Q07, Q08, Q10, Q13 were accepted.
For the questions :
Amal - Q02, Q03, Q04, Q06, Q08, Q10, Q11, and Q13.
Q01 is reviewed by only Komal and is accepted hence Bimal must have prepared the question as it was accepted in a single review. (Bimal)
Q02-is reviewed by Amal, Bimal, and Komal and was rejected this has a possibility of being prepared by an external person and faced rejection by one among Amal and Bimal and Komal. (SME).
Q03-Was accepted and reviewed by Amal, Komal and hence must have been prepared by Bimal(Bimal).
Q04- Accepted and reviewed by the three of them and hence must have been prepared by an external expert. (SME).
Q05-Only reviewed by Komal and is accepted and hence must be prepared by Bimal. (Bimal)
Q06-Rejected and reviewed by Amal and Bimal. Hence could have been prepared by Komal or External and rejected by Bimal and Amal. (Komal/SME).
Q07-Accepted and reviewed by Bimal and Komal. Hence must have been prepared by Amal. (Amal).
Q08- Reviewed by Amal, Bimal, and Komal and is accepted. Hence must have been prepared by SME. (SME)
Q09- Reviewed by Bimal and Komal and is rejected. It must have been prepared by Amal and was rejected by both of them. (Amal).
Q10- Was reviewed by Amal and was accepted. Must have been prepared by Komal. (Komal)
Q11- Reviewed by Amal and Komal and was rejected. Must have been prepared by Bimal and rejected by both Amal and Komal. (Bimal)
Q12- Reviewed by Bimal and Komal and was rejected. Must have been prepared by Amal and was rejected by both Bimal and Komal. (Amal).
Q13- Reviewed by Amal and Bimal and was accepted. The question could have been prepared by Komal or SME. (Komal/SME).
Amal could have possibly created the questions Q07, Q09, Q12 of which all three of them were reviewed by two people each, and hence they must have been rejected by the first reviewer.
Bimal could have created the questions :
Q01, Q03, Q05, Q 11.
Q01, Q05 are reviewed only by Komal and hence did not have any rejection.
Q03, Q11 faced at least one rejection.
Hence a total of five questions.
Question 10.
How many questions were DEFINITELY created by Amal?
For a question created by externals(SME), the minimum number of reviews required is two and the maximum number of reviews is three to confirm the acceptance or the rejection.
For a question created by anyone among Amal, Bimal, Komal a question can be reviewed after one review or two reviews.
The information provided states :
Q02, Q06, Q09, Q11, and Q12 were rejected. Q01, Q03, Q04, Q05, Q07, Q08, Q10, Q13 were accepted.
For the questions :
Amal - Q02, Q03, Q04, Q06, Q08, Q10, Q11, and Q13.
Q01 is reviewed by only Komal and is accepted hence Bimal must have prepared the question as it was accepted in a single review. (Bimal)
Q02-is reviewed by Amal, Bimal, and Komal and was rejected this has a possibility of being prepared by an external person and faced rejection by one among Amal and Bimal and Komal. (SME).
Q03-Was accepted and reviewed by Amal, Komal and hence must have been prepared by Bimal(Bimal).
Q04- Accepted and reviewed by the three of them and hence must have been prepared by an external expert. (SME).
Q05-Only reviewed by Komal and is accepted and hence must be prepared by Bimal. (Bimal)
Q06-Rejected and reviewed by Amal and Bimal. Hence could have been prepared by Komal or External and rejected by Bimal and Amal. (Komal/SME).
Q07-Accepted and reviewed by Bimal and Komal. Hence must have been prepared by Amal. (Amal).
Q08- Reviewed by Amal, Bimal, and Komal and is accepted. Hence must have been prepared by SME. (SME)
Q09- Reviewed by Bimal and Komal and is rejected. It must have been prepared by Amal and was rejected by both of them. (Amal).
Q10- Was reviewed by Amal and was accepted. Must have been prepared by Komal. (Komal)
Q11- Reviewed by Amal and Komal and was rejected. Must have been prepared by Bimal and rejected by both Amal and Komal. (Bimal)
Q12- Reviewed by Bimal and Komal and was rejected. Must have been prepared by Amal and was rejected by both Bimal and Komal. (Amal).
Q13- Reviewed by Amal and Bimal and was accepted. The question could have been prepared by Komal or SME. (Komal/SME).
Amal definitely prepared questions Q07, Q09, Q12.
Instructions
Instructions 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.
Question 11.
A
B
C
D
E
Text Explanation:
The above table includes the values of the share price at the end of each day. Chetan and Michael column shows the number of shares at the end of 5th day with Chetan and Michael respectively. (-10 means he has sold 10 shares, +10 means he has bought 10 shares) there are 10 different possible cases according to the initial and final share price. The question asks about the case where Chetan has sold 3 times and Michael sells only once. Starting with Michael, for exactly one sell, the price should touch 120 only once as Michael sells the share only at price greater than 110. if the price touches 120 twice or more, Michael will sell the share more than once which is not a desirable case. Also, chetan has to sell thrice consecutively which is only possible if the share price is 90 at one instance and rises to 120 in straight 3 days. This is only possible in case 2. Hence the price on 3rd day's end in case 2 is 110.
Question 12.
A
B
C
D
E
Text Explanation:
The above table includes the values of the share price at the end of each day. Chetan and Michael column shows the number of shares at the end of 5th day with Chetan and Michael respectively. (-10 means he has sold 10 shares, +10 means he has bought 10 shares) there are 10 different possible cases according to the initial and final share price. Please note that Chetan will always be having -10 shares(10 shares sold) and 1300 as cash. This is because Chetan buys for every fall in price and sells for every rise in price. But the fluctuation in share price is constant as it starts from 100 and closes at 110 on day 5. So, in total chetan will always sell 10 shares in all 5 days combined. As chetan has sold 10 shares , he'll get 110*10 =1100 cash because of it in every case. Also chetan earns Rs. 200 in every case because of buying at low and selling at high. So total cash chetan will always have after 5 days = 1100+200 =1300. The question asks about the case where Michael ended up with Rs 100 less cash than Chetan at the end of day 5. So we have to look for the case where Michael has 1200 cash which is only possible when Michael has -10 number of shares in the end of day 5 and also has made profit of Rs. 100. This is possible in case 7 as Michael has sold the shares at rs 120 but did not sell those shares as price never went below 90. In the end Michael will have -10 shares at a price 110 which is Rs. 10 less than the price he sold at. So he makes profit of 100 rs through it and will have the cash of 1100 through the sold shares. Their difference in 7th case is 1300-1200=100 Also, in this case they have same number of shares sold at the end of the 5th day. So E is the answer.
Question 13.
A
B
C
D
E
Text Explanation:
The above table includes the values of the share price at the end of each day. Chetan and Michael column shows the number of shares at the end of 5th day with Chetan and Michael respectively. (-10 means he has sold 10 shares, +10 means he has bought 10 shares) there are 10 different possible cases according to the initial and final share price. Please note that Chetan will always be having -10 shares(10 shares sold) and 1300 as cash. This is because Chetan buys for every fall in price and sells for every rise in price. But the fluctuation in share price is constant as it starts from 100 and closes at 110 on day 5. So, in total Chetan will always sell 10 shares in all 5 days combined. As Chetan has sold 10 shares, he'll get 110*10 =1100 cash because of it in every case. Also, Chetan earns Rs. 200 in every case because of buying at low and selling at high. So total cash Chetan will always have after 5 days = 1100+200 =1300. The question asks about the case where Michael ended up with Rs 1300 cash less than Chetan. As Chetan will have exactly 1300 cash in every case; we have to look for the cases where Michael does not make any profit and also does not have any sold shares at the end of 5 days. This is possible in 4 cases ie. 3,4,5 and 9. In each of these cases, the price fluctuates in the range 90-110 which does not allow Michael to buy or sell any shares. Also, in all these cases the price of MCS is 100 at the end of day 4. So the answer is 100.
Question 14.
A
B
C
D
E
Text Explanation:
The above table includes the values of the share price at the end of each day. Chetan and Michael column shows the number of shares at the end of 5th day with Chetan and Michael respectively. (-10 means he has sold 10 shares, +10 means he has bought 10 shares) there are 10 different possible cases according to the initial and final share price. Please note that Chetan will always be having -10 shares(10 shares sold) and 1300 as cash. This is because Chetan buys for every fall in price and sells for every rise in price. But the fluctuation in share price is constant as it starts from 100 and closes at 110 on day 5. So, in total Chetan will always sell 10 shares in all 5 days combined. As Chetan has sold 10 shares, he'll get 110*10 =1100 cash because of it in every case. Also, Chetan earns Rs. 200 in every case because of buying at low and selling at high. So total cash Chetan will always have after 5 days = 1100+200 =1300. The question asks about the case where there has been the maximum possible increase in the combined cash balance of Chetan and Michael at the end of the fifth day. As we know chetan has 1300 cash in all the cases , so we have to maximize the case where Michael has the most cash. Also, if we see clearly, the profit made by selling and buying is in hundreds while the cash received by selling the shares is much far in terms of cash. As 10 shares sold give = 10*110 = 1100 cash. So we have to look at the case where Michael has sold most shares which is case 8. In case 8 the price rises from 100 to 110 ->120 ->130 ->120 ->110 in this case 110(0 new shares)->120(Michael sold 10 shares)->130(Michael sold 10 shares)120(Michael sold 10 shares)->110(Michael does nothing) = 30 shares sold in total Cash = 20 shares at 120 and 10 shares at 130 = 120*20+130*10 = 2400+1300 =3700 As Chetan has 1300 cash and Michael has 3700 cash; total cash they have is : 3700+1300 =5000
Question 15.
A
B
C
D
E
Text Explanation:
The above table includes the values of the share price at the end of each day. Chetan and Michael column shows the number of shares at the end of 5th day with Chetan and Michael respectively. (-10 means he has sold 10 shares, +10 means he has bought 10 shares) there are 10 different possible cases according to the initial and final share price. Please note that Chetan will always be having -10 shares(10 shares sold) and 1300 as cash. To have 20 more shares than Chetan, Michael has to buy 10 shares which is case 1. In case 1, the share price at the end of day 3 is 90.
Instructions
Instructions 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.
Question 16.
A
B
C
D
E
Text Explanation:
A team which has K should have L also. Since L is there in the team, N and U should not be there in the team. Since U is not there in the team, S and W should not be there in the team. So, the team will have K, L, one of P and R and one of M or Q. So, the team size will be 4.
Question 17.
A
B
C
D
E
Text Explanation:
Since N is in the team, L and K cannot be in the team. The team can have one of M and Q. So, 2 ways of selection. If the team has S, then it should have U and W as well. If the team has no S, then it should have one of P or R. So, the number of ways of forming the team is 2*(1+2) = 6 ways
Question 18.
A
B
C
D
E
Text Explanation:
Out of P, R and S only 1 can be in the team. If S is there, U and W will also be there. So, P and R should not be in the team for its size to be maximum. Out of M and Q, only 1 can be there. If L is there in the team, N and U cannot be in the team. If L is not there in the team, then K is also not there in the team but N and U can be in the team. So, the maximum team size is 5 consisting of S, U, W, (M or Q), N.
Question 19.
A
B
C
D
E
Text Explanation:
Out of P, R and S only 1 can be in the team. If S is there, U and W will also be there. So, P and R should not be in the team for its size to be maximum. Out of M and Q, only 1 can be there. If L is there in the team, N and U cannot be in the team. If L is not there in the team, then K is also not there in the team but N and U can be in the team. So, the maximum team size is 5 consisting of S, U, W, (M or Q), N. So, M can be a member of team size 5.
Question 20.
A
B
C
D
E
Text Explanation:
If L is in the team, the team should include K also. The team should have one among P, R and S and one among M and Q. So, the team size cannot be 3 if L is in the team.
The above table includes the values of the share price at the end of each day. Chetan and Michael column shows the number of shares at the end of 5th day with Chetan and Michael respectively. (-10 means he has sold 10 shares, +10 means he has bought 10 shares)