UP LEKHPAL MATHS QUIZ 1

At what rate of interest will a sum of Rs 4,500 amount to Rs 6,525 at simple interest for 5 years?

The ratio of length and breadth of a rectangle is $3:1$. If its perimeter is $96\mathrm{m}$, then what will be the length of the rectangle?

Evaluate the following : $\frac{(14.5{)}^3+(9.5{)}^3}{(14.5{)}^2+(9.5{)}^2-(14.5)\times (9.5)}$

By selling a book for Rs. 25.65 a trader makes a loss of $5\mathrm{\%}$. If he sold it for Rs. 31.05, then find his profit percent or loss percent.

A car covers a distance of $44\mathrm{km}$ in $2\frac{3}{4}$ litres of petrol. How much distance can a car cover in 1 litre of petrol?

Pipe A can fill a tank in 30 minutes while pipe B can fill the same tank in 15 minutes and pipe C can empty the tank in 20 minutes. If Pipe A is opened for 5 minutes while pipe C is closed before 10 minutes to fill the tank by Band C. Find in how many minutes tank will completely fill.

If $(10x+3y):(5x+2y)=9:5$, then $(2x+y):(x+2y)=?$

Find the difference between the largest 5-digit number and the smallest 4-digit number.