T. S. Jain Solutions for Exercise 1: Exercise

How many D's are there in the following letter series which are preceded by K and followed by Q?
K D R M B S K D Q K R B L K D Q M Q D K E F Q D K

If from the numbers between 4 and 55 (including both), numbers which are divisible by 3 and the numbers which contain 3 as one of the digits are removed, then how many numbers will be left?

If from the numbers between $2$ and $43$ (both included), numbers that are divisible by $3$, and containing $3$ at one of the places 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 PM.” At what time did the enquiry clerk give 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 AM.” 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 PM.” 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 this shop. I have already gone to his house 55 minutes ago and the next time I shall go to my house from the shop will be at 8:15 PM.” At what time this information was given to the servant?

A doctor said to his compounder, “I go to see patients at their residence after every 3:30 hours. I have already gone to a patient's house 1:20 hours ago and the next time, I shall go at 1:40 PM.” At what time was this information given to the compounder by the doctor?