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How to prepare decision making questions for XAT? Is there any material for DM?

how to prepare for vocabulary section. i am very week in this section... and also how to prepare for cat exam effectively? can you please tell me the best efficient way which will suits for everone..!!

first public library in world which is found ?

how do we solve questions regarding find the number of triangles with barely any information given

remainder theorem

a fair coin is tossed 10times .find the probability that two heads do not occur consecutively

in a room there are 7 persons. The chance that two of them were born on the same day of the week.

How do we solve triangular graphs problem?

Q4 in AP,GP,HP. I have commented my answer. Please let me know if that's correct

find the number of ways in which 5 men can watch 4 movies such that each movie is watched by 1 one person