The number of boys and girls in a class are in the ratio \(7:5\). The number of boys is \(8\) more than the number of girls. What is the total class strength?
If \(60\)% people in city like cricket, \(30\)% like football and the remaining like other games, then what per cent of the people like other games? If the total number of people are \(50\) lakh, find the exact number who like each type of game.
Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively. \((p,q);(10m,5n);(20{x}^{2},5{y}^{2});(4x,3{x}^{2});(3mn,4np)\)
A farmer has enough food to feed \(20\) animals in his cattle for \(6\) days. How long would the food last if there were \(10\) more animals in his cattle?
There are 2401 students in a school. P.T. teacher wants them to stand in rows and columns such that the number of rows is equal to the number of columns. Find the number of rows.
Find the amount and the compound interest on \({R}{s}{10},{000}\) for \({\left({1}\right)}\frac{{1}}{{2}}\) years at \({10}\%\) per annum, compounded half yearly. Would this interest be more than the interest he would get if it was compounded annually?
Write.(i) The rational number that does not have a reciprocal.(ii) The rational numbers that are equal to their reciprocals.(iii) The rational number that is equal to its negative.
A suitcase with measures \({8}{c}{m}{x}{48}{c}{m}\times{24}{c}{m}\) is to be covered with a tarpaulin cloth. How many metres of tarpaulin of width \({96}{c}{m}\) is required to cover 100 such suitcases?
A rational number is such that when you multiply it by \(\frac{{5}}{{2}}{\quad\text{and}\quad}\frac{{2}}{{3}}\) add to the product, you get \(-\frac{{7}}{{{12}}}.\) What is the number ?