Three thieves are reporting their shares in the 2000 gold and silver coins looted. The ratio of gold to silver coins is 2:3. The following table shows the percentage distribution of coins with each thief.

Three thieves are reporting their shares in the 2000 gold and silver coins looted. The ratio of gold to silver coins is 2:3. The following table shows the percentage distribution of coins with each thief.

The current article deals with a frequently occurring topic in geometry in CAT- similarity of triangles. Most of you will notice that this topic is coming year after year in CAT and, as geometry questions in CAT are easy compared with other topics, mastering the concept is easier than mastering concepts in Algebra, Permutation, and Combination, or Probability.

There have been questions, in recent years CAT’s quant and data interpretation sections, based on some mathematical strategy games. These questions do not require much mathematical expertise but seek for your hidden intelligence. Just like many things which you might have studied at your degree college are practical i.e. useful but not practicable i.e. feasible. Also in a business school, you learn so much business jargon and tactics but how much is practicable you learn only after getting out of school and enter the business. The exactly same way you may know ‘n’ amount of mathematics but that sharp intelligence, aptitude to solve problems is the key which CAT is looking for.

All of us know that mathematics can be learned but there are no courses for learning intelligence (* leave Artificial Intelligence for the time being). But we can nurture and nourish intelligence by using it. So let’s do it.

**Q)** If N = 1! – 2! + 3! – 4! +…..+ 23! – 24! + 25!, then what is the unit digit of N^{2524}?

(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.

Huey , Dewey and Louie are the three grandnephews of millionaire Scrooge McDuck. For their 18^{th} 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.

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.