For the following questions answer them individually
The average marks obtained in a test by three students is x. If the marks of a new student is also considered, then the average marks increases by 2. What is the marks secured by the new student in the test?
In a partnership business, A and B invested in the ratio of 5 : 6. At the end of 8 months, A withdrew his capital. If they shared the eventual profit in the ratio of 5 : 9, then what is the number of months for which B invested his capital?
During a journey a person travels half of the distance at a speed of 18 km/h and the remaining half of the journey at a speed of 22 km/h. What is his average speed for the entire journey?
$$D_{1}$$ and $$D_{2}$$ can do a piece of work together in 16 days, $$D_{2}$$ and $$D_{3}$$ can do the same work together in 24 days, while $$D_{3}$$ and $$D_{1}$$ can do it together in 48 days. In how many days can all 3, working together, do $$\frac{5}{6}$$ of the work?
In a job, $$Z_{1}, Z_{2}$$ and $$Z_{3}$$ work for 8, 10 and 15 days, respectively. The ratio of the daily wages of $$Z_{1}, Z_{2}$$ and $$Z_{3}$$ is 3 : 4: 4, respectively. If they receive ₹4,960 as total wages for the work done, then what is the combined share of $$Z_{2}$$ and $$Z_{3}$$ in the total wages received?
The area of the base of a solid cone is 616 $$cm^{2}$$. If the height of the cone is 15 cm, then what is the volume of this cone?
Study the given table and answer the question that follows.
The table below shows the percentage distribution of students from five different colleges in various disciplines.
Students from the discipline of mathematics in colleges P and R taken together is what percentage of the total number of students in colleges P and R taken together? [Give your answer correct to one decimal place.]
A boat can travel 5 km upstream in 15 minutes. If the ratio of the speed of the boat in still water to the speed of the stream is 6 : 1, then how much time will the boat take to cover 19.6 km downstream?