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how to find out % of a very large no. like 34567828 ... in a very short time?

I have doubts in syllogism

If Ram sold an article at 4/5 of its actual selling price, he would have incurred a loss of a 40%. Find his actual profit/Loss %?

Every term of the series starting from the 3rd term is the sum of the two preceding terms. If the 1st term is odd, 2nd term is even and the total no of terms in the series is 150, then find the ratio of the no of even terms to the no of odd terms?? ans= 1:2.. approach plz

A square ABCD has a side of length 3cm. A point E on CD divides CD in such a way that CE:ED= 1:2. AC and BE intersect at P. Find cos(angle EPC). ANS= 1/(root5). approach please..

all the possible 3 numbers are formed from the number 13579.what is the expected value of the sum of the digits?

How to go about preparing for CAT 2016? which topics to do first

How to go about preparing for CAT 2016

i am from west bengal hindi speaking. which state should i choose(mean which state will have lowest qualifying marks in upcoming ibps clerk exam??)

find the remainder left after dividing 1! + 2! + 3! +...1000! by 7.