10 men can complete a project in 12 days, 12 children can complete the same project in 16 days and 8 women can complete the same project in 20 days. 5 men and 12 children started working on the project. If after 4 days, 8 children were replaced by 4 women. In how many days the remaining project was completed

4 ²/₅
5 ¹/₂
7 ¹/₂
3 ⁵/₉
6 ²/₃
Explanation:

1 man will complete the work

=10×12=120 days

1 woman will complete the work

=8×20=160 days

1 child will complete the work

=12×16=192 days

4 day's work of 5 men + 12 children

=4[5/120+12/192]

=4[1/24+1/16]

=4×5/48=5/12

∴Remaining work = 1-5/12=7/12

∴ 5 men + 4 women + 4 children will complete the remaining work = 7/12÷[5/120+4/160+4/192]

=7/12÷[1/24+1/40+1/48]

=7/12÷10+6+5/240=7/12×240/21

= 20/3= 6 2/3 days

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Directions (next five questions) : Refer to the table and answer the given questions.

Data related to performance of

6 batsmen in a tournament

Name of the batsman	Number of matches played in the tournament	Average runs scored in the tournament	Total balls faced in the tournament	Strike rate
A	8	-	-	129.6
B	20	81	-	-
C	-	38	400	114
D	-	-	-	72
E	28	55	1280	-
F	-	-	-	66

Note :

(i) Strike rate = (Total runs scored/Total balls faced) × 100

(ii) All the given batsman could bat in all the given matches played by them.

(iii) Few values are missing in the table (indicated by -), A candidate is expected to calculate the missing value, if it is required to answer the given question, on the basis of the given data and information.

What is the number of matches played by batsman C in the tournament

Batsman B faced equal number of balls in first 10 matches he played in the tournament and last 10 matches he played in the tournament. If his strike rate in first 10 matches and last 10 matches of the tournament are 120 and 150 respectively, what is the total number of balls faced by him in the tournament

In the tournament, the total number of balls faced by batsman A is 74 less than the total number of runs scored by him. What is the average run scored by batsman A in the tournament

If the runs scored by E in last 3 matches of the tournament are not considered, his average runs scored in the tournament will decrease by 9. If the runs scored by E in the 26^th and 27^th match are below 128 and no two scores among these 3 scores are equal, what are the minimum possible runs scored by E in the 28^th match

The respective ratio between total number of balls faced by D and that by F in the tournament is 3: 4. Total number of runs scored by F in the tournament is what percent more than the total runs scored by d in the tournament

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