On the last day of their college all the $300$ girls had a girls' night out at Khadakwasla, where they saw some couples having fun around their resort. Reminiscent of their moments spent in the past three years at Pune campus most of them were quick to flaunt that they dated a guy in their college.
However, none claimed that they dated more than one guy in the past $3$ years. If a girl dated a guy for $0<\mathrm{m}\le 12$ months she claims that she dated him for $1$ year, similarly if a girl dated a guy for $12<\mathrm{m}\le 24$ months she claims that she dated him for $2$ years and so if a girl dated a guy for $24<\mathrm{m}\le 36$ months she claims that she dated him for $3$ years; whereas m denotes the number of months. There were all sorts of girls who boasted of dating a guy for $1$ year, $2$ years and even $3$ years too. The girls who didn't date a guy at all can be counted on the fingers of one hand. The number of girls who dated a guy for at least $2$ years was $36\%$ more than those who dated a guy exactly for $1$ year. What's the maximum number of girls who dated a guy for all the $3$ years?

Two friends Azad and Bose are vacationing in India and they have some Indian currency in their wallets. Each one has some notes of denominations of $\mathrm{Rs}. 1000, \mathrm{Rs}. 100, \mathrm{Rs}. 10$ and $\mathrm{Rs}. 1$. The total number of notes with each one is same but the total amount with each one is distinct. None of them has $10$ or more notes of any denomination.

What information is necessary to find the total amount that they could have together in their wallets, if used together with the possible amount given in the respective options?

The following figure shows the three gears, which work in tandem. That means when anyone of the gears rotates, all other gears will also rotate. One gear has $36$ teeth, another one has $25$ teeth and the third one has $30$ teeth. Though the number of teeth is not shown correctly in the given figure.

The gears are now in starting position. If you start turning them and continue to turn them, eventually all three will end up at their starting positions. Each gear makes $\mathrm{x}, \mathrm{y}, \mathrm{z}$ complete turns in order to have all three in their starting positions. What is the value of $\mathrm{x}+\mathrm{y}+\mathrm{z}$?