Race Institute

#38, Burkit Road,

Opposite to bus terminal,

Thyagaraya Nagar

Chennai - 600 017.






Contact Person:

Bharath Seeman



1.Type 1:
Case I
A can eat 10 burgers in 2 days and B can eat 20 burgers in 1 day. For how long will 250 burgers last is both start eating them together? [CDS 2000]

A. 25 days

B. 20 days

C. 10 days

D. none of these

2.A can do a piece of work in 12 days, and B can do the same in 15 days. In how many days can both do it?

A. 5




3.Case II
A and B together can do a piece of work in 24 days, which B and C together can do a piece of work in 32 days. A, B started the work, C replaced A after 10 days, B and C worked for 4 more days and B left the work. C finished the work in 26 days after A left. In how many days C alone will do the work?

A. 22 days

B. 50 days

C. 48 days



4.A can do a piece of work in 14 days which can do in 21 days. They begin together but 3 days before the completion of the work, A leaves of. The total number of days to complete the work is:





5.Case 3:
A is twice as efficient as B and therefore is able to finish a job in 30 days less than B. Working together, they can do it in:


B. 10 days

C. 60 days

D. 30 days

E. 20 days

6.A is thrice as good a workman as B and together they finish a piece of work in 10 days. The number of days taken by A alone to finish the work is:



C. 14 days


7.Type 2:

John and Ben working separately can assemble a computer in 10 hrs and 12 hrs respectively. If they are working for 1 hr alternately john beginning, in how many hours will the computer be assembled?

A. 10 hours




8.Type 3:

If one man or two women or three boys can finish a work in 88 days, then how many days will one man, one women and one boy together take to finish the same work?

A. 46 days

B. 54 days

C. 48 days

D. 44 days

E. 60 days

9.Type 4: Multi Unitary Method

Case I

5 men can complete a piece of work in 4 days. In how many days can 8 men complete the same work?

A. 14 days

B. 8 days

C. 32 days

D. 2 days

E. 16 days

10.12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for two days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days?

A. 15

B. 18

C. data inadequate

D. none of these