# Similar Triangles

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.

# 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

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

# Shut Up and Read

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.)

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

In what relation The Apology of Plato stands to the real defence of Socrates, there are no means of determining. It certainly agrees in tone and character with the description of Xenophon, who says in the Memorabilia that Socrates might have been acquitted ‘if in any moderate degree he would have conciliated the favour of the dicasts;’ and who informs us in another passage, on the testimony of Hermogenes, the friend of Socrates, that he had no wish to live; and that the divine sign refused to allow him to prepare a defence, and also that Socrates himself declared this to be unnecessary, on the ground that all his life long he had been preparing against that hour. For the speech breathes throughout a spirit of defiance; and the loose and desultory style is an imitation of the ‘accustomed manner’ in which Socrates spoke in ‘the agora and among the tables of the money-changers.’ The allusion in the Crito may, perhaps, be adduced as a further evidence of the literal accuracy of some parts. But in the main it must be regarded as the ideal of Socrates, according to Plato’s conception of him, appearing in the greatest and most public scene of his life, and in the height of his triumph, when he is weakest, and yet his mastery over mankind is greatest, and his habitual irony acquires a new meaning and a sort of tragic pathos in the face of death. The facts of his life are summed up, and the features of his character are brought out as if by accident in the course of the defence. The conversational manner, the seeming want of arrangement, the ironical simplicity, are found to result in a perfect work of art, which is the portrait of Socrates – the man and his pedagogy.