# There are two drums, each containing a mixture | Quantitative Aptitude - Arithmetic - Mixtures

### CAT Verbal Ability

CAT 2018 – The CAT QA section has grown increasingly difficult since 2015. In order to tackle the tougher CAT Level QA questions for the CAT Exam, it is important to understand the basics of CAT. To obtain a great CAT score, make use of MBAP Free Study material with detailed solutions and video explanations. Check out MBAP free Mock test to take these questions in a test format for free.

### You may also find remaining question solution of CAT 2018, Slot-2 by searching the question in the search bar.

The question below is from previous year CAT question from CAT 2018 exam comes from CAT Arithmetic – Mixtures– There are two drums, each containing a mixture …. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

## CAT 2018 – Slot 2 - Mixtures- Question 2 - There are two drums, each containing a mixture

##### Q. 2: There are two drums, each containing a mixture of paints A and B. In drum 1, A and B are in the ratio 18 : 7. The mixtures from drums 1 and 2 are mixed in the ratio 3 : 4 and in this final mixture, A and B are in the ratio 13 : 7. In drum 2, then A and B were in the ratio1. 229 : 1412. 220 : 1493. 239 : 1614. 251 : 163

Let in drum 2, A and B are in the ratio m : n.

Given, In drum 1, A and B were in the ratio 18 : 7 = 18x : 7x .

Final mixtures ratio of contribution of drum 1 and drum 2 = 3: 4 = 75x : 100x

So A in final mixture = 18x × 3+100x × m/(m+n) = ( 154m+54n)/(m+n) x

B in final mixture = 7x × 3+100x × n/(m+n) = ( 21m+121n)/(m+n) x

Given A : B in final mixture = 13:7

Or (154m+54n )/(21m+121n )=13/7

1078m+378n=273m+1573n

805m=1195n

m:n=1195∶805=239∶161

Counselling Session
By IIM Mentor