Quiz-4

Solution:
Work done by Preeti = 4 * 16 = 64 hours
Work done by Mayank = 4 * 10 = 40 hours
Efforts made by Preeti in one hour = 1/64
Efforts made by Mayank in one hour = 1/40
Work done together = 1/64 + 1/ 40
= 13/320 hours
Or,
320/13 * 5/16
= 100/13 days
Correct Answer B

Solution:
Number of days =
80 * 40 = 32 * x
x = 100 days
Correct Answer B

Solution:
Hitaishi works alone for 15 days
Therefore, work done by Hitaishi in 15 days = 15/30
Shivani and Hitaishi’s work together = 1-(15/30)
Work done by both in one day = (30 * 35) / (30 + 35)
= (30 * 35) /65
Thus, work done by both in days = {(30 * 35) / 65} * (1/2) = 8  (1/13)
Correct Answer C

Solution:
Divya’s  9 day’s project = 1/ 18 * 9
= ½
Now, when Madhu completes the remaining project,
= 1 – ½
= ½
The time needed by Madhu to complete the project
= 1/16 * 2
= 1/8
= 8 days
Correct Answer B

Solution:
Number of days = 28 * 50 /14
= 100
Correct Answer B

Solution
Work done by Harish in one day = 1/10
Work done by Ganga in one day = 1/5
If they complete the work together = 1/10 + 1/5
= 3/10
= 10/3 days
Correct Answer A

Solution:
Number of people = 12 * 8 = x * 6
x= 96/6
= 16
Correct Answer D

Solution:
Hours = 42 * 14/28
= 588/28 = 21 hours
Correct Answer B

Solution:
Work ratio = 4:5
Work done by both = 50 * 20
= 1000
Kashish alone can do the assignment in = 1000/5
= 200 days
Correct Answer C

Solution:
Sahil’s one-day work = 1/16
Om’s one day work =1/20
Work done together = 1/16 + 1/20
= 9/80
Hence, the number of days = 80/9
Correct Answer A