UP SI MATHS QUIZ-54

The average of 5 numbers is 26.4 . The first number is one-fifth of the sum of the remaining 4 numbers. What is the first number?

What is the least 6-digit number that is divisible 71 ?

Simplify the expression $45-[36-\{29-(25-\overline{7+4})\}]$.

A shopkeeper bought 840 kg of rice. A part of it was sold at 25 profit and the remaining at 10% loss and on the whole. the profit was 15%. What was the quantity of rice which was sold at 10% loss!

A man and a boy together can do a certain amount of digging in 24 days. Their speeds in digging are in the ratio of 4 :3. How many days will the boy take to complete the work if engaged alone?

$\triangle \mathrm{ABC}$ is right-angled at $\mathrm{B}$ and $\mathrm{D}$ is a point on $\mathrm{AC}$ such that $\mathrm{BD}$ is perpendicular to $\mathrm{AC}$. If $\mathrm{BD}=6 \mathrm{~cm}$ and $\mathrm{AD}=3 \mathrm{~cm}$, then what will be the length of $\mathrm{AC}$ ?

The value of $(86 \div 20)-\frac{13}{8}$ of $\left(\frac{1}{3}-\frac{2}{13}\right)+\left(\frac{1}{8} \div \frac{3}{7}\right)+\left(2-\frac{3}{10}\right)$ is:

If the ratio of the volumes of two cones is $11: 16$ and the ratio of the radii of their bases is $3: 4$, then the ratio of their heights will be:

If $\mathrm{A}$ is $28 \%$ less than $\mathrm{B}$ and $\mathrm{C}$ is $25 \%$ less than the sum of $\mathrm{A}$ and $\mathrm{B}$, then by what percentage will $\mathrm{C}$ be more than $\mathrm{A}$ (correct to one decimal place)?