R. Gupta Solutions for Exercise 1: Exercise 1

If $3$rd December $1994$ is Sunday, what will be the day on $3$rd January $1995?$

How many times from $10$ a.m. to $10$ p.m. will the two hands of the clock point in opposite directions$?$

A man had missed the bus going to his village when he reached the bus terminal at $3$ p.m. At the same time an announcement was made that the next bus for the same destination will leave in $2$ hours time, as the bus leaves every seven hours. At what time had the bus left the terminal$?$

How much time does the minute hand gain over the hour hand in $24$ hours$?$

A, B and C are three pipes attached to a tank . A and B can fill it in $10$ and $15$ minutes respectively, while C can empty it in $20$ minutes. If all three pipes be kept open successively for $1$ minute each, what will be the least integral number of minutes required for the cistern to get filled$?$

If two pipes that can fill a cistern in $4$ hours and $3$ hours respectively be opened together, in how much time will they take to fill the cistern?

I remember that my brother's interview is someday between $2$^nd August and $28$^th August. My mother remembers that his interview is someday between $26$^th August and $3$^rd September. If $2$^nd August falls on Thursday, on which day and date will my brother's interview be held$?$

If a clock set right at $12$ noon runs $2$ minutes slow every hour, then what time will the clock show when the actual time will be $5$ p.m.$?$