Problems Archives | Page 2 of 3

In a coding operation C₀, 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, C₁,C₂,C₃….,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’.

Sitting arrangement is one of the popular topics of LRDI section for any competitive exam. The best thing about this topic is that you don’t need to apply any out of the box thinking but to process and write down all the information that is given to solve the questions. Sometimes you will feel that given information is not enough to complete the arrangements but remember your job is to solve the questions not to complete the arrangement.

Here I am giving you some sets of linear and circular arrangements, try to solve them and then match your answers with the given solution.

Direction for question number 1 to 4: Four couples A,B,C,D,E,F,G and H are sitting together on a bench facing towards north not necessarily in the same order. It is also known that

I. A,C,E,G are females who are sitting immediate left of their husbands.
II. G is sitting immediate right of H who is sitting three places away to the left of C.
III. A is sitting five places to the left of B who is sitting 3rd from extreme right.

No no….don’t get it wrong.
Here, we are talking about one of the interesting topics in CAT-preparation (and all others MBA entrance tests also) i.e. Circular motion – a small but very important part of a broader topic: Time, Speed and Distance.
We are specifically focusing here on the meetings of the runners on a circular track (or any closed track for that matter). As we go on, I will post some questions and in the explanation I’ll discuss few important concepts that’ll remain with you at the end of this session.

[latexpage]
Similar triangles present one of the biggest tools students have to solve many geometry questions. And yet, whenever the opportunity arises, the students often fail to spot the similarity between two triangles. Sometime they spot the similarity but fail to apply the ratios correctly. Today we will start with some familiar cases in which we apply similarity of triangles and then move on to some tricky and difficult cases. We hope that after solving all these problems, you’ll not have any issue in spotting and solving similarity.

In practical scenario, we always prove that two triangles are similar by proving that their corresponding angles are equal. For example, look at the very simple figure below:

If you can prove that $\angle BAC$ = $\angle QPR$ and $\angle ABC$ = $\angle PQR$ then $\triangle ABC$ and $\triangle PQR$ are similar. In which case the ratios of the corresponding sides are equal. The best way to write the ratio of the sides is to write both the triangles in the order of the angle which are equal (for example here $\angle A$ = $\angle P$, $\angle B$ = $\angle Q$ and $\angle C$ = $\angle R$ so write ABC and PQR only) and then write the ratio by picking same corresponding points from the two written triangles. Therefore,

The passage given below is followed by a set of questions. Choose the best answer to each question.

As I said before, I do not think that the real reason why people accept religion has anything to do with argumentation. They accept religion on emotional grounds. One is often told that it is a very wrong thing to attack religion, because religion makes men virtuous. So I am told; I have not noticed it. You know, of course, the parody of that argument in Samuel Butler’s book, Erewhon Revisited. You will remember that in Erewhon there is a certain Higgs who arrives in a remote country, and after spending some time there he escapes from that country in a balloon. Twenty years later he comes back to that country and finds a new religion in which he is worshiped under the name of the “Sun Child,” and it is said that he ascended to heaven. He finds that the Feast of the Ascension is about to be celebrated, and he hears Professors Heroditus and Panopticon say to each other that they never set eyes on the man Higgs, and they hope they never will; but they are the high priests of the religion of the Sun Child. He is very indignant, and he comes up to them, and he says, “I am going to expose all this humbug and tell the people of Erewhon that it was only I, the man Higgs, and I went up in a balloon.” He was told, “You must not do that, because all the morals of this country are bound round this myth, and if they once know that you did not ascend into Heaven they will all become wicked”; and so he is persuaded of that and he goes quietly away.

Problems

Coding Set – LR

Passengers on a Bus- DI set

Business Planning for Veeta Volvos – DI Set

Investing in Mutual Funds- DI Set

Sitting Arrangements-Linear and Circular

Meeting someone on Circular Track..

Similarity of Triangles| Solved Problems in Geometry

Reading Comprehension- 2

Recent Forum Posts/Questions/Answers

Recent Blog Posts

Recent Blog Comments

Other websites

Courses

Social

Reach us