All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
CAT Exam  >  CAT Questions  >  Directions for Questions: Answer the question... Start Learning for Free
Directions for Questions: Answer the questions on the basis of the information given below.
A Cricket team of 11 players is to be formed from a group of 15 players—A, B, C, D, E, F, G, H, I, J, K, L, M, N and O. Among the players A, D, K, L, M, N and O are batsmen; B, C, E, F, G and H are bowlers; I and J are wicketkeepers. It is also known that:
I. The team must have at least 5 batsmen and exactly 1 wicketkeeper.
II. H can be selected only if B is selected.
III. F can be selected only if both G and N are selected.
IV. If I is selected, then F is also selected.
V. K and M cannot be selected together for the team. The same is true for B and G.
(2013)
Q. If H is selected, then who among the following cannot be selected in the team?
  • a)
    O
  • b)
    N
  • c)
    G
  • d)
    J
Correct answer is option 'C'. Can you explain this answer?
Clear all your CAT doubts with EduRev
Verified Answer
Directions for Questions: Answer the questions on the basis of the inf...
From statement (V), B and G cannot be together in the team. Therefore, there are three possible cases.
Case I: When B is selected.
F cannot be selected as F can only be selected when both G and N are selected. Thus, when B is selected, the team comprises exactly four bowlers. Also, J must be the wicketkeeper in the team, as selection of Iensures selection of F. Following table gives the possible compositions for the team.

The number of ways in which the team can be formed = 2 × 1 × 1 = 2
Case II: When G is selected.
H cannot be selected as H can only be selected when B is selected. Thus, when G is selected, then again the team comprises exactly four bowlers.
Following table gives the possible compositions for the team.

The number of ways in which the team can be formed = 2 × 1 × 2 = 4.
Case III: When neither B nor G is selected.
When both B and G are not selected, then there is no possible composition for the team.
If H is selected, G cannot be selected.
View all questions of this test
Most Upvoted Answer
Directions for Questions: Answer the questions on the basis of the inf...
. Out of these 15 players, 7 are batsmen, 6 are bowlers, and 2 are wicket-keepers. There are no all-rounders in the group.

1. In how many ways can the team be formed if the captain must be a batsman?
2. In how many ways can the team be formed if the captain must be a bowler?
3. In how many ways can the team be formed if the captain must be a wicket-keeper?
4. In how many ways can the team be formed if the captain can be any player from the group?
5. In how many ways can the team be formed if the captain cannot be a bowler?

1. To form the team with the captain being a batsman, we have to select 1 captain from the 7 batsmen and then select 10 more players from the remaining 14 players (excluding the selected captain). Therefore, the total number of ways to form the team with the captain being a batsman is 7C1 * 14C10 = 7 * 14 = 98 ways.

2. To form the team with the captain being a bowler, we have to select 1 captain from the 6 bowlers and then select 10 more players from the remaining 14 players (excluding the selected captain). Therefore, the total number of ways to form the team with the captain being a bowler is 6C1 * 14C10 = 6 * 14 = 84 ways.

3. To form the team with the captain being a wicket-keeper, we have to select 1 captain from the 2 wicket-keepers and then select 10 more players from the remaining 14 players (excluding the selected captain). Therefore, the total number of ways to form the team with the captain being a wicket-keeper is 2C1 * 14C10 = 2 * 14 = 28 ways.

4. To form the team with the captain being any player from the group, we have to select 1 captain from the 15 players and then select 10 more players from the remaining 14 players (excluding the selected captain). Therefore, the total number of ways to form the team with the captain being any player is 15C1 * 14C10 = 15 * 14 = 210 ways.

5. To form the team where the captain cannot be a bowler, we have to select 1 captain from the 13 non-bowlers (7 batsmen + 2 wicket-keepers) and then select 10 more players from the remaining 14 players (excluding the selected captain). Therefore, the total number of ways to form the team where the captain cannot be a bowler is 13C1 * 14C10 = 13 * 14 = 182 ways.
Explore Courses for CAT exam

Similar CAT Doubts

Group QuestionAnswer the following question based on the information given below.For a certain quiz, 10 questions have been short listed but the number of participating teams is yet undecided. The question numbers are labeled as Q1, Q2, Q3, Q4, Q5, Q6, Q7, Q8, Q9 and Q10.Since the number of participating teams is not decided, it was decided to form sets from these 10 questions with the restriction that each set must have at least two questions.However the selection of questions for any set was subject to following restrictions:1. Q1 and Q8 must be in the same set.2. Q8 and Q5 cannot be in the same set.3. Q2 and Q6 cannot be in the same set.4. Q9, Q2 and 0 4 if selected must be in the same set.5. Q3 and Q10 must appear in the set together.6. Q1 and Q3 cannot be in the same set.Additional information for Q.1 and Q.2:All the sets formed have 4 questions each.Q.How many sets of four questions can be formed? Correct answer is '6'. Can you explain this answer?

Directions for Questions: The first-year students in a business school are split into six sections. In 2019 the Business Statistics course was taught in these six sections by Annie, Beti, Chetan, Dave, Esha, and Fakir. All six sections had a common midterm (MT) and a common end term (ET) worth 100 marks each. ET contained more questions than MT. Questions for MT and ET were prepared collectively by the six faculty members. Considering MT and ET together, each faculty member prepared the same number of questions.Each of MT and ET had at least four questions that were worth 5 marks, at least three questions that were worth 10 marks, and at least two questions that were worth 15 marks. In both MT and ET, all the 5-mark questions preceded the 10-mark questions, and all the 15- mark questions followed the 10-mark questions.The following additional facts are known.i. Annie prepared the fifth question for both MT and ET. For MT, this question carried 5 marks.ii. Annie prepared one question for MT. Every other faculty member prepared more than one questions for MT.iii. All questions prepared by a faculty member appeared consecutively in MT as well as ET.iv. Chelan prepared the third question in both MT and ET: and Esha prepared the eighth question in both.v. Fakir prepared the first question of MT and the last one in ET. Dave prepared the last question of MT and the first one in ET.(2019)Q. Which of the following questions did Beti prepare in ET?

Top Courses for CATView all

Top Courses for CAT

Directions for Questions: Answer the questions on the basis of the information given below.A Cricket team of 11 players is to be formed from a group of 15 players—A, B, C, D, E, F, G, H, I, J, K, L, M, N and O. Among the players A, D, K, L, M, N and O are batsmen; B, C, E, F, G and H are bowlers; I and J are wicketkeepers. It is also known that:I. The team must have at least 5 batsmen and exactly 1 wicketkeeper.II. H can be selected only if B is selected.III. F can be selected only if both G and N are selected.IV. If I is selected, then F is also selected.V. K and M cannot be selected together for the team. The same is true for B and G.(2013)Q.If H is selected, then who among the following cannot be selected in the team?a)Ob)Nc)Gd)JCorrect answer is option 'C'. Can you explain this answer?
Question Description
Directions for Questions: Answer the questions on the basis of the information given below.A Cricket team of 11 players is to be formed from a group of 15 players—A, B, C, D, E, F, G, H, I, J, K, L, M, N and O. Among the players A, D, K, L, M, N and O are batsmen; B, C, E, F, G and H are bowlers; I and J are wicketkeepers. It is also known that:I. The team must have at least 5 batsmen and exactly 1 wicketkeeper.II. H can be selected only if B is selected.III. F can be selected only if both G and N are selected.IV. If I is selected, then F is also selected.V. K and M cannot be selected together for the team. The same is true for B and G.(2013)Q.If H is selected, then who among the following cannot be selected in the team?a)Ob)Nc)Gd)JCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions for Questions: Answer the questions on the basis of the information given below.A Cricket team of 11 players is to be formed from a group of 15 players—A, B, C, D, E, F, G, H, I, J, K, L, M, N and O. Among the players A, D, K, L, M, N and O are batsmen; B, C, E, F, G and H are bowlers; I and J are wicketkeepers. It is also known that:I. The team must have at least 5 batsmen and exactly 1 wicketkeeper.II. H can be selected only if B is selected.III. F can be selected only if both G and N are selected.IV. If I is selected, then F is also selected.V. K and M cannot be selected together for the team. The same is true for B and G.(2013)Q.If H is selected, then who among the following cannot be selected in the team?a)Ob)Nc)Gd)JCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions for Questions: Answer the questions on the basis of the information given below.A Cricket team of 11 players is to be formed from a group of 15 players—A, B, C, D, E, F, G, H, I, J, K, L, M, N and O. Among the players A, D, K, L, M, N and O are batsmen; B, C, E, F, G and H are bowlers; I and J are wicketkeepers. It is also known that:I. The team must have at least 5 batsmen and exactly 1 wicketkeeper.II. H can be selected only if B is selected.III. F can be selected only if both G and N are selected.IV. If I is selected, then F is also selected.V. K and M cannot be selected together for the team. The same is true for B and G.(2013)Q.If H is selected, then who among the following cannot be selected in the team?a)Ob)Nc)Gd)JCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Directions for Questions: Answer the questions on the basis of the information given below.A Cricket team of 11 players is to be formed from a group of 15 players—A, B, C, D, E, F, G, H, I, J, K, L, M, N and O. Among the players A, D, K, L, M, N and O are batsmen; B, C, E, F, G and H are bowlers; I and J are wicketkeepers. It is also known that:I. The team must have at least 5 batsmen and exactly 1 wicketkeeper.II. H can be selected only if B is selected.III. F can be selected only if both G and N are selected.IV. If I is selected, then F is also selected.V. K and M cannot be selected together for the team. The same is true for B and G.(2013)Q.If H is selected, then who among the following cannot be selected in the team?a)Ob)Nc)Gd)JCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Directions for Questions: Answer the questions on the basis of the information given below.A Cricket team of 11 players is to be formed from a group of 15 players—A, B, C, D, E, F, G, H, I, J, K, L, M, N and O. Among the players A, D, K, L, M, N and O are batsmen; B, C, E, F, G and H are bowlers; I and J are wicketkeepers. It is also known that:I. The team must have at least 5 batsmen and exactly 1 wicketkeeper.II. H can be selected only if B is selected.III. F can be selected only if both G and N are selected.IV. If I is selected, then F is also selected.V. K and M cannot be selected together for the team. The same is true for B and G.(2013)Q.If H is selected, then who among the following cannot be selected in the team?a)Ob)Nc)Gd)JCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions for Questions: Answer the questions on the basis of the information given below.A Cricket team of 11 players is to be formed from a group of 15 players—A, B, C, D, E, F, G, H, I, J, K, L, M, N and O. Among the players A, D, K, L, M, N and O are batsmen; B, C, E, F, G and H are bowlers; I and J are wicketkeepers. It is also known that:I. The team must have at least 5 batsmen and exactly 1 wicketkeeper.II. H can be selected only if B is selected.III. F can be selected only if both G and N are selected.IV. If I is selected, then F is also selected.V. K and M cannot be selected together for the team. The same is true for B and G.(2013)Q.If H is selected, then who among the following cannot be selected in the team?a)Ob)Nc)Gd)JCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Directions for Questions: Answer the questions on the basis of the information given below.A Cricket team of 11 players is to be formed from a group of 15 players—A, B, C, D, E, F, G, H, I, J, K, L, M, N and O. Among the players A, D, K, L, M, N and O are batsmen; B, C, E, F, G and H are bowlers; I and J are wicketkeepers. It is also known that:I. The team must have at least 5 batsmen and exactly 1 wicketkeeper.II. H can be selected only if B is selected.III. F can be selected only if both G and N are selected.IV. If I is selected, then F is also selected.V. K and M cannot be selected together for the team. The same is true for B and G.(2013)Q.If H is selected, then who among the following cannot be selected in the team?a)Ob)Nc)Gd)JCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Directions for Questions: Answer the questions on the basis of the information given below.A Cricket team of 11 players is to be formed from a group of 15 players—A, B, C, D, E, F, G, H, I, J, K, L, M, N and O. Among the players A, D, K, L, M, N and O are batsmen; B, C, E, F, G and H are bowlers; I and J are wicketkeepers. It is also known that:I. The team must have at least 5 batsmen and exactly 1 wicketkeeper.II. H can be selected only if B is selected.III. F can be selected only if both G and N are selected.IV. If I is selected, then F is also selected.V. K and M cannot be selected together for the team. The same is true for B and G.(2013)Q.If H is selected, then who among the following cannot be selected in the team?a)Ob)Nc)Gd)JCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions for Questions: Answer the questions on the basis of the information given below.A Cricket team of 11 players is to be formed from a group of 15 players—A, B, C, D, E, F, G, H, I, J, K, L, M, N and O. Among the players A, D, K, L, M, N and O are batsmen; B, C, E, F, G and H are bowlers; I and J are wicketkeepers. It is also known that:I. The team must have at least 5 batsmen and exactly 1 wicketkeeper.II. H can be selected only if B is selected.III. F can be selected only if both G and N are selected.IV. If I is selected, then F is also selected.V. K and M cannot be selected together for the team. The same is true for B and G.(2013)Q.If H is selected, then who among the following cannot be selected in the team?a)Ob)Nc)Gd)JCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
SaveJoin the Discussion on the App for FREE
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup