# 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

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.)

In a coding operation C_{0}, SMART is changed to UQBLT and DROP is changed to OPQE.

The coding operation works as follows:

- Odd letter of the word is replaced by the letter that follows it (as per the alphabetical sequence)
- Even letter of the word is replaced with the one that immediately precedes the letter (in the alphabetical sequence)
- The word is written in reverse order to arrive at the code.

Similarly, for other operations of the series, C_{1},C_{2},C_{3}….,C_{n } each letter is replaced by skipping n letter that precede or follow it.

Ms Voyager was on her solo trip to Shimla. She boarded the local passenger bus called “Traveller” from “Summer Hill (SH)” stop and got off at “Old Shimla” (OS)”. In between there are five stations and she decided to take a note of the number of passengers who boarded and got off “Traveller”.

Also the price of ticket between two stations is equal to one plus the number of stations in between those two stations. For example the ticket price of one passenger from Summer Hill to the mall road is equal to Rs 3 and that of one passenger from Monkey Point to Old Shimla is Rs 5. When she got off the Traveller at Old Shimla Bus stand she had following information with her. Also no person got off the same stop at which he/she boarded.

In recent years, CAT DI questions have moved away from the traditional graphical representation to the tabular one. Furthermore, the concepts involved are usually very basic and typical. Below is one such example, based on simple concept, testing your ability to interpret the given data.

In township TG Town, a bus operator Veeta Volvos is planning to launch operations. They did some preliminary survey on the number of people availing bus services during any given 4-hour window of the day (provided in the table). Each Veeta Volvos bus needs one driver and can accommodate a maximum of 45 passengers at a time.

DILR section has become a game changing section in the CAT. In the last two years this section has been the most difficult of all the three sections. Here is a DI set which will give a sneak peek at what can be expected in the CAT. This set comprises Type in the Answer(TITA) questions that have been a recent addition to the CAT.

**Directions of question 1 to 4:**

The investors can invest in four mutual funds – ICICI, SBI, Kotak and HDFC, to buy stocks of these four companies. Not all the investors invested in the mutual funds every month but when they did, each person invested Rs.100 to any one of the four mutual funds in a month, not necessarily the same fund every month.

For each of the four funds, the number of people who invested in each of October, November and December was either equal to or one greater or one lesser than their corresponding numbers in the previous month. For example, if ‘n’ investors invested in the ICICI fund in October, then the number of investors who invested in the ICICI fund in November can be ‘n – 1’, or ‘n’ or ‘n + 1’.

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