T.S.Jain Solutions for Exercise 1: EXERCISE

How many $\mathrm{D}$'s are there in the following letter-series, which are preceded by $\mathrm{K}$ and followed by $\mathrm{Q}$?
$\mathrm{KDRMBSKDQKRBLKDQMQDKEFQDK}$

If the numbers from $4$ to $55$ which are divisible by $3$ and also the numbers which contain $3$ as one of the digits, are removed, then how many numbers will be left?

If the numbers from $2$ to $43$, which are divisible by $3$ and $3$ comes at any place in the number, are removed, then how many numbers will be left?

An enquiry clerk said to Suman, "A bus for Patna leaves after every $45$ minutes. The last bus has already left $15$ minutes ago and the next bus will leave at $2.30$ p.m." At what time did the enquiry clerk gave this information to Suman?

A Saint said to his disciple, "The bell of the temple rings after every $30$ minutes. The last bell has already rung $20$ minutes ago and the next bell will ring at $8.15$ a.m." At what time did the saint give this information to his disciple ?

At a railway station a man said to Swapna, "A train leaves for Muzaffar Nagar after every $1.45$ hours. The last train has already left $50$ minutes ago and the next train will leave at $5.15$ p.m." At what time this information was given to Swapna

A trader said to his servant Ramu, "I leave for my house after every $2.40$ hours from his shop. I have already gone to his house $55$ minutes ago and next time. I shall go to my house from the shop at $8.15$ p.m." At what time this information was given to the servant?

A doctor said to his compounder, "I go to see the patients at their residence after every $3.30$ hours. I have already gone to the patient $1.20$ hours ago and next time I shall go at $1.40$ p.m." At what time this information was given to the compounder by the doctor?