In a rare coin collection, there is one gold coin for every three non-gold coins. 10 more gold coins are added to the collection, and the ratio of gold coins to non-gold coins becomes 1:2.

Based on this information, the total number of coins in the collection now becomes:

A sum of Rs. 700 has to be used to give seven cash prizes to students in a school for their overall academic performance. Each prize is Rs. 20 less than its preceding prize.

What is the least value of the prize?

Four cars are hired at the rate of Rs. 6 per km plus the cost of diesel at Rs. 40 per litre. In this context, consider the details given in the following table:

Which car maintained the maximum average speed?

If the number of female Physics professors in the age group 25 – 34 equals $25\%$ of all the Physics professors in that age group, then what is the number of male Physics professors in the age group 25 – 34?

A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. If the thief is 100 meters ahead of the policeman, then the time required for the policeman to catch the thief will be:

There are five hobby clubs in the college: Photography, Yachting, Chess, Electronics, and Gardening.

1. The Gardening group meets every second day.
2. The Electronics group meets every third day.
3. The Chess group meets every fourth day.
4. The Yachting group meets every fifth day.
5. The Photography group meets every sixth day.

How many times do all five groups meet on the same day within $180$ days?