Three workers Tanu, Pintu and John are hired to do a job. They together started the job but John left after $3$ days when $37\%$ of the job was done. The rest job was completed by Tanu and Pintu in $7$ days. The ratio of efficiency of Tanu and Pintu is $4:5.$ Find the number of days required by the slowest worker to do the entire job alone$?$

If the numerator of a fraction is increased by $200\%$ and the denominator is increased by $300\%$, the resultant fraction is $\frac{9}{17}$. What was the original fraction?

There are five friends - Sachin, Kunal, Mohit, Amit and Sohan. Sachin is shorter than Kunal but taller than Sohan. Mohit is the tallest. Amit is little shorter than Kunal and little taller than Sachin. If they stand in the order of increasing heights, who will be the third?

In a school, there are three batches of players, who play cricket, football and hockey. An incomplete chart of number of students playing an individual sport belonging to an individual batch is displayed in the following table

Which one of the following is correct?

A device can write $100$ digits in $1$ minute. It starts writing natural numbers. The device is stopped after running it for half an hour. It is found that the last number it was writing, is incomplete. The number is

A triangle is formed with vertices $(0, 0)$, $(0, 100)$ and $(100,100)$. What is the number of points inside the triangle with integer coordinates?

There are two concentric circles. The radii of the two circles are $100 \mathrm{m}$ and $110 \mathrm{m}$ respectively. A wheel of radius $30 \mathrm{cm}$ rolls on the smaller circle and another wheel rolls on the larger circle. After they have completed one revolution, it is found that the two wheels rolled equal number of times on their respective axes. What is the radius of the other wheel?