tcs Exam Numerical Ability Geometry

A figure that can be folded over along a straight line so that the result is two equal halves which are then lying on top of one another with no overlap is said to have a line of symmetry. Which of the following figures has only one line of symmetr

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Isosceles Triangle because it will have one line of symmetry
7 years agoHelpfull: Yes(5) No(0)

Pentagon. Because of odd number of sides
7 years agoHelpfull: Yes(3) No(1)
please give the options
7 years agoHelpfull: Yes(2) No(3)
It may be a square
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its isosceles triangle
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In case of a square , you can fold it along more than one line to get two equal halves.
Circle: you have n number of lines , along which you can fold and get equal halves.
Equilateral triangle : Fold it along the median and you get equal halves( Each angle can extend this line to the opposite side )
Rectangle : Same as square

Only in case of Isosceles Triangle do you have only 1 line of symmetry
6 years agoHelpfull: Yes(0) No(0)

tcs Other Question

The infinite monkey theorem states that a monkey hitting the keys at random on a typewriter keyboard for an infinite amount of time will almost surely type a given text, such as the complete works of William Shakespeare! Now, you have an essay that is 4 pages long. The total word count of the text is 3694 words and the total letter count of the text is 9971 . What is the probability that the word /and/ is typed by a hypothetical monkey pounding on a keyboard, if the keyboard has 9 keys of which 3 contain the letters /'a/', /'n/' and /'d/'? The word /and/ appears in your essay around 50 time A permutation is often represented by the cycles it has. For example, if we permute the numbers in the natural order to 2 3 1 5 4, this is represented as (1 3 2) (5 4). In this the (132) says that the first number has gone to the position 3, the third number has gone to the position 2, and the second number has gone to position 1, and (5 4) means that the fifth number has gone to position 4 and the fourth number has gone to position 5. The numbers with brackets are to be read cyclically.
If a number has not changed position, it is kept as a single cycle. Thus 5 2 1 3 4 is represented as (1345)(2).
We may apply permutations on itself If we apply the permutation (132)(54) once, we get 2 3 1
5 4. If we apply it again, we get 3 1 2 4 5 , or (1 2 3)(4) (5)
If we consider the permutation of 7 numbers (1457)(263), what is its order (how many times must it be applied before the numbers appear in their original order)?