The largest number that divides $245$ and $1029$, leaving remainder $5$ in each case is—

Two containers contain $60$ and $165$ liters of milk, respectively. Find the maximum capacity of a container which can measure the milk in each container an exact number of times.

A person has three iron bars whose lengths are $10, 15$ and $20$ meters respectively. He wants to cut the longest possible pieces, all of the same lengths from each of the three bars. What is the length of each piece if he is to cut without any wastage?

Two baskets contain, respectively, $195$ and $250$ bananas which are distributed in equal number among children. Find the largest number of bananas that can be given, so that $3$ bananas are left over from the first basket and $2$ from the second.

Traffic light at one particular crossing changes after every $40$ seconds. The traffic light at the next crossing changes after every $32$ seconds. At a certain time they change together. After what time will they again change together?

The LCM of two numbers is $280$ and their HCF is $7$. One of the numbers is $35$. Find the other number.

The LCM of $\frac{2}{5}$,$\frac{6}{25}$ and $\frac{8}{35}$ is:

What is the smallest number which when divided by $12$ leaves $10$, when divided by $16$ leaves $14$, and when divided by $24$ leaves $22$ as remainder?

What is the highest number of three digits which will leave a remainder of $1$ when divided by any of the numbers $6, 9, 12, 15, 18$ ?