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Weekly revision || DILR || CAT 2021 || 06 June

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Question 1

Direction: Study the following table carefully and answer the questions given below:
Number of candidates (in lakhs) appearing in an entrance examination from six different districts and the ratio of candidates passing and failing the same

Ratio of candidates passing and failing within the districts
What is the ratio of the number of candidates failing the exam from Districts S to that of those failing the exam from District P?

Question 2

Direction: Study the following table carefully and answer the questions given below:
Number of candidates (in lakhs) appearing in an entrance examination from six different districts and the ratio of candidates passing and failing the same

Ratio of candidates passing and failing within the districts
The number of candidates appearing for the exam from District R is what per cent of the number of candidates appearing for the exam from District Q?

Question 3

Direction: Study the following table carefully and answer the questions given below:
Number of candidates (in lakhs) appearing in an entrance examination from six different districts and the ratio of candidates passing and failing the same

Ratio of candidates passing and failing within the districts
The number of candidates passing in the exam from District U is approximately what per cent of the total number of candidates appearing from all the districts together?

Question 4

Direction: Study the following table carefully and answer the questions given below:
Number of candidates (in lakhs) appearing in an entrance examination from six different districts and the ratio of candidates passing and failing the same

Ratio of candidates passing and failing within the districts
Which district has the minimum number of students failing the entrance exam?

Question 5

Direction: The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.

Seven persons A, B, C, D, E, F and G are sitting in a line facing north but not necessarily in the same order.

Who sits at the extreme left end of the line?

I.G sits at the second position from one of the end of the line. A who sits at the middle of the line sits second to the right of F.

II. C sits third to the right of F who does not sit at the middle of the row. A does not sit at the extreme ends of the line. Both C and F are not immediate neighbors of A

Question 6

Direction: The question below consists of a question and two statements numbered I and II given. You have to decide whether the data provided in which of the statements are sufficient to answer the question. Choose your answer from the options based on this.
There are eight members in the family X, U, A, G, Z, R, I and F, sitting in the circle all facing the inside direction. What is the position of the I with respect to the Z in the given arrangement?

Statement 1: The person G is sitting second to the left of the person Z, who is sitting second to the left of person U. The person I is sitting second to the right of the person R, who is immediate neighbour of U.
Statement 2: The person F is sitting immediate left of the person I. The person A is sitting immediate left of the person Z.
Statement 3: The person G sits fourth to the right of person U. The person R is sitting second to the right of the person X. The person A is sitting third to the right of the person F.

Question 7

Directions: There were 16 teams in a tournament divided into groups of 4. Every team in a group played 2 matches with every other team in the group. For every win they got + 3 points and for every lost match they got – 1 points. After this, one team from every group qualified for semi-finals, from which 2 got selected for finals. There were no draw/tie matches in the tournament. The result of the group stages were as such that no top two teams of a group scored same points.

What could be the minimum number of matches won by the winner of the tournament?

Question 8

Directions: There were 16 teams in a tournament divided into groups of 4. Every team in a group played 2 matches with every other team in the group. For every win they got + 3 points and for every lost match they got – 1 points. After this, one team from every group qualified for semi-finals, from which 2 got selected for finals. There were no draw/tie matches in the tournament. The result of the group stages were as such that no top two teams of a group scored same points.

What could be the minimum number of points a team must have scored to guarantee a place in semi-finals?

Question 9

Directions: There were 16 teams in a tournament divided into groups of 4. Every team in a group played 2 matches with every other team in the group. For every win they got + 3 points and for every lost match they got – 1 points. After this, one team from every group qualified for semi-finals, from which 2 got selected for finals. There were no draw/tie matches in the tournament. The result of the group stages were as such that no top two teams of a group scored same points.

What could be the maximum number of points a team could have scored and still have failed to guarantee a place in semi-finals?

Question 10

Directions: There were 16 teams in a tournament divided into groups of 4. Every team in a group played 2 matches with every other team in the group. For every win they got + 3 points and for every lost match they got – 1 points. After this, one team from every group qualified for semi-finals, from which 2 got selected for finals. There were no draw/tie matches in the tournament. The result of the group stages were as such that no top two teams of a group scored same points.

What will be the total number of matches?
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Jun 6CAT & MBA