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Shortcuts For Management Entrance Exam

Published Date : 19 Jan 2015
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Aptitude questions relating to time and work are asked in every competitive exams be it placement drives for reputed companies, bank exam, entrance exams like CAT, XAT, MAT,GRE, GMAT etc always contain a section of aptitude questions to test the quantitative ability. Problems relating to time and work in CAT aptitude exams are quite advanced and complicated and eat up much of the time and energy, unless you know the basic formulas, shortcuts and tricks to handle such scenarios. Hence it’s advisable to note down these tips and practice them over and over again to memorize them.

The Basic Concept of Word Problems

Relation between variables of problem on Time, Work, Distance and Speed 

            So, the amount of work done in T days =T*1/D

Then, MDH/W=Constant

(M1D1H1)/W1=(M2D2H2)/W2

  1. Ratio of work done by A and B = x:1
  2. Ratio of times taken by A and B to finish a work = 1:x which suggests ,A will take (1/x)th of the time taken by B to do the same work.

Shortcuts for time and work problems

If A, B, and C working together = 2xyz/(xy+yz+zx) days
If A working alone = 2xyz/(xy+yz-zx) days
If B working alone = 2xyz/(-xy+yz+zx) days
If C working alone = 2xyz/(xy-yz+zx) days

            Then,x=(ab)^1/2 days

  ·    If people work for same number of days, ratio in which the total money earned has to be shared is the ratio of work done per day by each one of them.
A, B, C can do a piece of work in x, y, z days respectively. The ratio in which the amount earned should be shared is (1/x):(1/y):(1/z)=yz:zx:xy
·     If people work for different number of days,the ratio in which the total money earned has to be shared is the ratio of work done by each one of them.

Special cases of time and work problems

Let the initial number of men be M
Number of man days to complete work = MD
If there are M+m men, days taken = D-d
So, man days = (M+m)(D-d)
ie; MD=(M+m)(D-d)
M(D–(D-d))=m(D-d)
M=m(D-d)/d

Let the initial number of men be M
Number of man days to complete work = MD
If there are M-m men, days taken = D+d
So, man days = (M-m)(D+d)
ie; MD=(M-m)(D+d)
M(D+d–D)=m(D+d)
M=m(D+d)/d

Let D be the total number of days to complete work.
A and B work together for D-n days.
So, (D-n)(1/a+1/b)+n(1/b)=1
D(1/a+1/b)–n/a-n/b+n/b=1
D(1/a+1/b)=(n+a)/a
D=b(n+a)/(a+b) days.

The above tricks and shortcuts may be difficult to remember and may go against the systematic procedure that one is habitual of but with practice and logic it comes more naturally than the tiring conventional practices that eats up time and energy during examination.


Posted in : Latest Articles, Tips and Tricks


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