Today’s article comes from another founding father of TathaGat, Mr. Kumar Abhishek, popularly known as ‘Kumar’ and hands down the best verbal instructor in Delhi. Though he is great fun in his classes, he is a terror if you cross his rules, i.e. forget to submit your weekly book reviews, come without flashcards or The Hindu newspaper in the class, or arrive late for your class. But if you follow all that, you would forget about the time during his classes. He regales the students with his command in both Hindi and English. To quote a student “kumar sir is tough only in the first few classes……then it’s a smooth ride……and keeps the mood of the class light and interactive with his wisecracks and sudden outbursts of unadulterated hindi….like “mera abir balak kahan hai”………and “yatharth ka dharatal”……..”prabal sambhavana” and many more…” For those who would like to know, his favourite words are “Bhasad” and “Hawabaz” which he can be seen quoting once in every 5 sentences. Even his fan club on TG Town is known as ‘Bhasad’. Not to mention that he is extremely famous among his students. Once we were so full of reading his praises on the internet that we started pulling his leg “Aap hi to kahin jakar nahin likhte rahte hain internet par apne bare mein?”

# Factorials

Q) If N = 1! – 2! + 3! – 4! +…..+ 23! – 24! + 25!, then what is the unit digit of N2524?
(a) 9
(b) 1
(c) 7
(d) 0

Ramu is a delivery boy at The Queen Hill Hotel. The hotel is peculiar as no road inside the hotel premises is flat; it either goes uphill or downhill. Ramu’s uphill speed is 60m/min and downhill speed is 90m/min. It is also known that he takes 2 minutes to serve the order in the room.

Q) Find the minimum value of
a)1                          b)49                                       c)65       d)None of these

Q) What is the next number in the series 01, 1011, 111021, 31101211…… ?

Huey , Dewey and Louie are the three grandnephews of millionaire Scrooge McDuck. For their 18th birthday, they want a sports car each. Being the stingy uncle that Scrooge is, he has asked them to solve a puzzle, the right answer to which would get them a car each. The puzzle is as follows:

I raced all the 25 cars that I have (C1, C2, C3…C25), 5 at a time, and the results were as shown in the table.

Each of the 150 residents of TG colony can be classified as having either a pet dog or pet cat, as vegetarian or as non-vegetarian, as living on first floor or ground floor.
It is further known that
1. The number of non-vegetarian residents is half the number of vegetarians.
2. The number of residents who live on ground floor is twice the number of residents who live on first floor.
3. The number of vegetarians having dog is same as the number of first floor residents having a pet dog.
4. The number of residents living on first floor having a non-vegetarian diet and pet cat, is one more than the number of residents living on ground floor who are vegetarian and have a pet dog.
5. The number of residents with a pet cat is 54 more than those with pet dog.

A transport start-up has a single cargo truck that caters to the delivery requirements of 6 cities.
The cities are connected via toll roads as shown in the figure where the lines represent the roads, while the numbers written on them represent the toll charges in rupees.