What will be left when \[\frac{9}{2}+\frac{x}{2}+\frac{3}{5}{{x}^{2}}+\frac{7}{4}{{x}^{3}}\] is taken from \[-\,\,\frac{7}{2}\,\,-\,\,\frac{x}{2}\,\,-\,\,\frac{{{x}^{2}}}{5}?\]
If \[f(x)={{x}^{3}}+a{{x}^{2}}+bx+6\]has \[(x-2)\] as a factor and leaves a remainder as 3 when divided by\[(x-3),\] then the values of a and b are respectively:
Two numbers m, n are such that m is a multiple of 7 and n leaves remainder 5 when divided by 7. The remainder obtained on dividing m + 6n by 7 will be:
A university has its own hostel for its students. It provides fooding and lodging to the students. Due to festive season some of the students are left for their home and 80 students stays in the hostel. There is a food provision for 15 days for these students. How long the food will last if 40 more students decide to stay back in the hostel?
Peter and Robert can load the bags in a truck in 36 hours and 45 hours respectively. If both work together, then how much time will they take to load the truck?
Out of two men X and Y, X is twice as good as Y to perform the work assigned to them. If X can finish the assigned work in 40 days less than Y, then in how many days they together can finish the work if they work together?
A publishing house employs 6 typists to type the manuscript of a book. The typists work for 5 hours a day and takes 16 days to complete the work. Due to some reason two typists leave the work before it starts and hence the company is left with only 4 typists to complete the work. In how many days will 4 typists complete the job working 6 hours a day?
The population of a village is 10500 at a certain time. The number of children is twice that of females in 3 the village and males comprise of 40% of the village population which is 4200. Find the number of children in the village.
Two neighbours work in the same factory at different posts, so their salaries are also different. If the salary of one individual is 50 % more than other, then what percent others salary is of first salary?
A man sold two articles at Rs. 25920 each. These were sold at 8% gain and 4% loss respectively. Find the gain or loss percent in the whole transaction?
The simple interest on a certain sum of money is one - ninth of the principal and rate of interest is equal to the time for which interest is found. Find the rate of interest on that sum of money.
Three cubes of metal with edges 3 cm, 4 cm and 5 cm respectively are melted to form a single cube. Find the lateral surface area of the new cube so formed.
The following pie graph shows the number of certain players of a particular country playing different games. What percent of sportsperson play only Tennis?
The following line graph gives the annual profit percent earned by a company during 2005 - 2010. If the expenditures in 2006 and 2009 are equal, then the ratio of income in 2006 to that in 2009 is:
A two digit number is obtained by multiplying the sum of the digits by 8 and adding 1 or by multiplying the difference of digits by 13 and adding 2. The number is:
A rectangular tin sheet is 22 m long and 8 m broad. It is rolled along its length to form a cylinder by making the opposite edges just to touch each other. The volume of the cylinder (in m3) is: