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How can I start prepaing for Quants in shortdays??

How many of the solutions to a+b+c+d=20 have one or two of the `digits' equal to 10?

In an examination it is required to get 1034 of the aggregate marks to pass.A student gets 940 marks and is declared failed by 5% marks.what are the maximum aggregate marks a student can get?

A, B & C can independently do a job in 15,20 and 30 days. they work together for some time after which C leave .a total of 18000/- is paid for the work & B gets 6000 more than C. for how many days did A work ?

if a+b+c=6 and ab+bc+ca= 1 than find ab(b+a)+bc(c+b)+ac(a+c)+3abc

Just now only I started the VARC section... Is it possible to complete? If yes, then how?

how to solve vocabulary correctly

Two friends A and B run on a 550 m circular track such that A (who is faster) overtakes B in the middle of A's 6th round for the first time.If they were to run on a stright track of length 10000 m, find approximately how much headstart A can give to B such that they finish the race at the same time?
A 1818m B 1837m C 1762m D 1265m

[SOLUTION] Since A overtakes B in the middle of the 6th round,B must be in the middle of the 5th round. So A has covered 5.5 times the track length while B has covered 4.5 times the track length. For every 5.5m covered by A,B covers 4.5 m. 11m covered by A=9 m covered by B Headstart in 11m race=2m Headstart in 10000m race=(2*10000)/11=1818m

In the solution, it is said B must be in middle of the 5th round. How did we reach to this conclusion?

Basic concepts of AM, GM& HM, weighted averages, mixtures &. Alligation

Does this statement contain any grammatical error?
"One of the incidents that comes to mind occurred in 2006."