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How to calculate sum of n nos let's say 1 to 1000

How to solve a input-output question in lesser time

A rectangle is drawn such that none of its side has length greater than `a'. All lengths less than 'a' are equally likely. The chance that the rectangle has its diagonal greater than 'a' is(in terms of %)

Any stratergy to prepare for pj'"s?

I am how to prepare puzzle

Two friends A and B start on a circular track at the same time in the same direction. If the speed of A is 12m/s and both A and B meet only at starting point, how many values can the speed of B take if the speed of B is less than 30 m/s. The answer given is 11 times. I am not able to get the solution. Can anyone help please.

i am very weak in prepositions and some portion of grammer.

Who is giving answer here ?

How to improve in verbal?

I have i have paid the money, my all ( 20 ) mock test are blocked....