# Factorials

**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

**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

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.

Some of us have grown up with books. Some of us haven’t. Some of us have even had an allergy to books. They gave us the rashes. They made us want to throw up. They made us want to eat the pages in desperation. And then there was the internet. We smile when we read the word “internet”. There are so many “fond” memories we have with the internet. We were happy. Utterly comfortable. In fact, we still are. But mention “books”, and we shiver. Grimace. Frown. Scowl. Glower.

So, what’s the point? The point is that you are reading this in a forum dedicated to the CAT. The point is that sooner or later you will dream of cracking the CAT. The point is that sooner or later you’ll come across your biggest adversary – your arch rival – your nemesis (quick, the dictionary…) – READING COMPREHENSION. It should be written in red. Nay, it should be written in blood. Your blood.

1.

In the figure above, PQ=QR and ∠Q = ∠SRP = 36°. If ∠TPR = 54°, find ∠STP.

a) 24° b)27° c)18° d)36°

The graph below shows the average rating given by 20 critics to six different restaurants in three different parameters Ambience, Food & Service. The maximum rating to any restaurant in any parameter by a critic can be 100.

A toy company is planning to expand its operations by buying a new machine. They have short-listed two machines, A & B, based on the quality parameters, maintenance requirement, ease of operations etc. The production cost for each of these machines, for different production ranges is as shown in the table below. Answer the questions based on the data given. (All Costs are in Rs.)

© 2007-2020 by TathaGat.