Latest CAT Aptitude Question SOLUTION: A sum of money is sufficient to pay A's wages for 18 days and B's wages for 27 days.Then for how much days , the money is sufficient to pay the wages of both ?

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A sum of money is sufficient to pay A's wages for 18 days and B's wages for 27 days.Then for how much days , the money is sufficient to pay the wages of both ?

Asked In CAT Devendra Marghade (11 years ago)

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Yuvaraj  (11 years ago)

10.8 days

We take LCM for both 18 and 27. The LCM will be 54
Let us assume that Rs.54 is to be paid as wages.
For A one day wages will be 18/54=Rs.3
For B one day wages will be 27/54=Rs.2
One day wages for both A and B will be Rs.2+Rs.3=Rs.5
Therefore total number of days we can pay for both A and B from Rs.54 will be 54/5=10.8 days

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IQBAL MEHDI  (11 years ago)

10 days 8 hours ans.
sol:-
A's 1 day's wages=1/18

B's 1 day's wages=1/27

now,(A+B)'s 1 day's wages=1/18+1/27=5/54
hence,the money is sufficient to pay the wages of both for 54/5(10.8) days.

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Arun  (11 years ago)

1/(1/18)+(1/27)
1/(5/54)
The money is sufficeint to pay the wages for both for = 10.8 days Ans

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Huzefa Chikhly  (11 years ago)

iqbal 10.8 days is not equal to 10 days and 8 hour

10.8 days means 10 days 19 hr 12 min

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IQBAL MEHDI  (11 years ago)

yeah,Chikhly you are right.....
.8*24=19.2 hrs=19hrs .2*60=12mins
That means 10days 19hrs 12mins......

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