CAT Questions

CAT Questions- Directions for next 4 CAT Questions: Answer the cat questions on the basis of the information given below.

Coach John sat with the score cards of Indian players from the 3 games in a one-day cricket tournament where the same set of players played for India and all the major batsmen got out. John summarized the batting performance through three diagrams, one for each game. In each diagram, the three outer triangles communicate the number of runs scored by the three top scorers from India, where K, R, S, V, and Y represent Kaif, Rahul, Saurav, Virender, and Yuvraj respectively. The middle triangle in each diagram denotes the percentage of total score that was scored by the top three Indian scorers in that game. No two players score the same number of runs in the same game. John also calculated two batting indices for each player based on his scores in the tournament; the R-index of a batsman is the difference between his highest and lowest scores in the 3 games while the M-index is the middle number, if his scores are arranged in a non-increasing order.

1. How many players among those listed definitely scored less than Yuvraj in the tournament?
a.0
b.1
c.2
d. More than 2
e. none

2. Which of the players had the best M-index from the tournament?
a.Rahu1
b.Saurav
c.Virender
d. Yuvraj
e. Cannot be determined.

3. For how many Indian players is it possible to calculate the exact M-index?
a.0
b.1
c. 2
d. More than 2
e. Cannot be determined

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CAT Difficult Questions

Difficult CAT Questions-Directions for next 2 CAT Questions: Answer the cat questions on the basis of the text given below

There are n urns each containing n + 1 balls such that the ith urn contains i white balls and (n + 1 − i) red balls. Let ui be the event of selecting ith urn, i = 1, 2, 3 …, n and w denotes the event of getting a white ball.

1. If n is even and E denotes the event of choosing even numbered urn ( P(ui) = 1/n) , then the value of P(w/E) is
a) (n+2) / (2n+1)
b) (n+2) / 2(n+1)
c) n / (n+1)
d) 1 / (n+1)
e) none of these
Answer b) (n+2) / 2(n+1)
P( w/E) = (2+4+…+n) / {n(n+1)/2} = (n+2) / 2(n+1)

2. If P(ui) = c, where c is a constant then P(un/w) is equal to
a) 2/ ( n+1)
b) 1/ (n+1)
c) n/(n+1)

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