Recent activity by Pranavpurkar

For the year $2019$, which of the previous year’s calendar can be used?$2011$$2012$$2013$$2014$

Insert seven numbers between $2$ and $34$, such that the resulting sequence including $2$ and $34$ is an arithmetic progression. The sum of these inserted seven numbers...

Two machines $M1$ and $M2$ are able to execute any of four jobs $P, Q, R$ and $S$. The machines can perform one job on one object at a time. Jobs $P, Q, R$ and $S$ take ...

In a sports academy of $300$ peoples, $105$ play only cricket, $70$ play only hockey, $50$ play only football, $25$ play both cricket and hockey, $15$ play both hockey an...

Each of the letters in the figure below represents a unique integer from $1$ to $9$. The letters are positioned in the figure such that each of $(A+B+C), (C+D+E), (E+F+G)...