Quants – Third Test at Oval

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nishit's picture
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Q1.  If it rains thrice in a week at oval what is the probability that today’s match ‘ll be affected by rain.

Q2. In last 3 weeks rain had followed a pattern as given below
18ml, 100ml,  294ml.
How much rain is going to fall during the course of the match  (a test match is played for 5 days) if the trend continues?

Q3. Indian cricket team has 5 bowlers,  7 batsman and 2 wicket-keeper. In how many ways the captain can select a team of 11 with at least 4 bowlers and 1 wicket keeper.

Q4. Removed (Hint : Probability Question).

Q5. All the available 40,000 tickets are sold. If 3 out of every 4, ticket holders are fan of Dravid and 2 out of every 3, ticket holders are fan of Sachin then what is maximum & minimum number of ticket holders who are fan of both Dravid and Sachin.

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neel_saxena's picture
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My Answers

Ans  to Q1)  is 1/7 & ans to Q3) is 252.....tell me if i am wrong !!!!

anita1's picture
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Q1)  is 1/7 --- I think its

Q1)  is 1/7 --- I think its wrong . . .we cant ignore the statement that it rains thrice in a week.

the answer shd be 3/7

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Q3. Indian cricket team has

Q3. Indian cricket team has 5 bowlers,  7 batsman and 2 wicket-keeper. In how many ways the captain can select a team of 11 with at least 4 bowlers and 1 wicket keeper.

Ans:  4BOL + 1W + 6 B : Number of ways = 70

 4BOL + 2W + 5B : Number of ways = 105

 

 5BOL + 1W + 5B : Number of ways = 42

 5BOL + 2W + 4B : Number of ways = 35

Total = 252

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Q2. 18ml, 100ml,  294ml2 x

Q2. 18ml, 100ml,  294ml

2 x 32 , 4 x 52 , 6 x 72

Next number in the series is 8 x 92  = 648ml in 7 Days

So in 5 days => 463ml (approx.)

 

But luckily it’s not raining and India is up to a good start. Hopefully Kartik 'll complete his century. 

secondharsa's picture
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Sachin  Fan: 30,000Dravid

Sachin  Fan: 30,000

Dravid Fan :26,667

Maximum number of ticket holders who are fan of both sachin and dravid = 26,668

Minimum number of ticket holders who are fan of both sachin and dravid = 16,667

neel_saxena's picture
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ans to Q1

hi anita,

I'VE NOT IGNORED THE STATEMENT !!! I'll explain u my approach...

Probability that it rains in a  week = 3/7

Probability that match is played on a rainy day= 1/3 (since it rains thrice a week)

So, probability that today's match will be affected by rain = 3/7 X 1/3 = 1/7

 

Did u get my pt.????

rajesh_6e's picture
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1

pbty of any day being a rainy day is 3/7

n the match may b on any day hence 3/7

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rajesh_6e's picture
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the trend is 2*1(3^2) .....2*2(5^2).....2*3(7^2)..so nxt term is 2*4(9^2)=648

so ans is 648*5/7

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cat_aspirant's picture
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doubt in SACHIN,DRAVID QUESTION

hi  secondharsa

                 how did u do all these? specially how did u  calculate d minimum no of ticket holders? plz elaborate.

rajesh_6e's picture
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3/4 th of 40,000 is

3/4 th of 40,000 is 30,000=sachin fans

2/3rd of 40,000 is 26,667=dravid fans

so max common is 26,667 the case where all dravid's fans are sachins fans

and minimum common would b (30,000+26,667)-40,0000=16,667

 

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