UP SI MATHS QUIZ-32

A and B working together can do 40% of the work in 8 days. B alone can do the same work in 25 days. How much time will A take to complete the same work?

Anita borrowed Rs. 80,000 from a SBI bank for 4 years at $6 \%$ per annum for the 1 st year, $8 \%$ per annum for the 2nd year and $10 \%$ per annum for the rest years. Find interest paid by her to the bank.

If the ratio of two numbers is $2: 3$ and their L.C.M. is 54 , then the sum of the two numbers is

If $a+\frac{1}{a}=5$, then the value of $a^{3}+\frac{1}{a^{3}}$ is?

When Sulekha sells an article for Rs.870, she earns a profit (in Rs.) which is equal to twice the loss (in Rs.) she incurs on selling it for Rs.450. To earn a profit of 15%, she should sell the article for (in Rs.):

Rita spends $25 \%$ of her monthly income on house rent and $30 \%$ of the remaining income on food. If she saves Rs. 5,250 , what is her monthly income?

The average weight of five persons sitting in a boat is $38 \mathrm{~kg}$. The average weight of the boat and the persons sitting in the boat is $52 \mathrm{~kg}$. What is the weight of the boat?

The present age of two brothers is $1: 2$ and 5 years back the ratio was $1: 3$ what will be the ratio of their age after 5 years?

A toy is in the shape of a cylinder surmounted by a hemisphere. The total height of the toy is $15 \mathrm{~cm}$ and the radius of the hemisphere is $6 \mathrm{~cm}$. What is the volume of the toy?

A car travels at a speed of $65 \mathrm{~km} / \mathrm{hr}$ to reach its destination in 45 minutes. What should be its speed to reach its destination in 36 minutes?