Question
A, B and C alone can complete a work in 24, 48 and 32
days respectively. All of them started working together but after 2 days from start A left the job and after 3 more days B also left the job. So for how many days did C work?Solution
Let the total work = 96 units (LCM of 24, 48 and 32) Amount of work done by A alone in one day = 96/24 = 4 units Amount of work done by B alone in one day = 96/48 = 2 units Amount of work done by C alone in one day = 96/32 = 3 units Amount of work done by A, B and C together in 2 days = 2 × (4 + 2 + 3) = 18 units Amount of work done by B and C together in 3 days = 3 × (2 + 3) = 15 units Remaining work = 96 – 18 – 15 = 63 units So, the time taken by C alone to complete 63 units work = 63/3 = 21 days So, C worked for 21 + 2 + 3 = 26 days
Let vector r lie in the plane of p = i + j and q = j + k, and be such that r is perpendicular to p and satisfies r · q = 2. Then, the value of the dot ...
A frustum of a cone has a lower base radius of 5 cm, an upper base radius of 3 cm, and a height of 4 cm. What is the volume of the frustum?
Ajay and Bijay can individually complete a task in 18 days and 24 days, respectively. If they work together to finish the task an...
A family spends 40% of their monthly income on rent, 20% on groceries, and 15% on utilities. If they save ₹5,400 after these expenses, what is their t...
In an election between two candidates, winner got 40% of total valid votes. If total number of votes cast were 1700 out of which 10% were invalid, then ...
If sin x + sin 2x = 1 and cos x + cos 2x = 0, find x.
In a survey, 60% of the participants are women and 40% are men. Among the women, 50% are employed, while 70% of the men are employed. If there are 200 p...
The ratio of two numbers is 4:8 and their LCM is 64. The numbers are:
Aman borrowed Rs. 56000 at 11% p.a. simple interest for 2 years. He immediately invested the entire amount at 14% p.a. simple interest for the same dura...
Relevant for Exams:
