Test Index

LIC AAO Model Paper 3

© examsnet.com

Question : 40 of 160

Marks: +1, -0

If 9 men working 7

\frac{1}{2}

hours a day can finish a piece of work in 20 days, then how many days will be taken by 12 men, working 6 hours a day to finish the work ? It is being given that 2 men of latter type work as much as 3 men of the former type ?

9 $\frac{1}{2}$
11
12 $\frac{1}{2}$
13
None of these

Solution:

More men, less days (Indirect)

Less hrs/day, more days (Indirect)

Less efficiency, more days (Indirect)

Men 12 : 9

Hrs/day 6 :

\frac{15}{2}

Efficiency

\frac{1}{2}

:

\frac{1}{3}

⇒ 1 : 20 : x

∴ 12 × 6 ×

\frac{1}{2}

× x = 9 ×

\frac{15}{2}

×

\frac{1}{3}

× 20

⇒ x =

\frac{9 \times 15 \times 2 \times 20}{2 \times 3 \times 12 \times 6}

=

\frac{25}{2}

= 12

\frac{1}{2}

∴ Required number of days = 12

\frac{1}{2}

© examsnet.com

Go to Question:

Prev Question

Next Question