Bodhee Prep-CAT Online Preparation

CAT 2018 [SLOT 2] Quant Question with Solution 32

Question:
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 ratio

  1. 229 : 141
  2. 220 : 149
  3. 239 : 161
  4. 251 : 163
Show Answer
Correct Answer: 3
Let the ratio of A and B in drum 2 be x : 1
Applying alligation,
$\frac{13}{20}-\frac{x}{x+1}=\frac{3}{4}=>\frac{13}{20}-\frac{x}{x+1}=\frac{3}{4} \times \frac{72-65}{100}=\frac{21}{400}$
$=>\frac{x}{25}-\frac{13}{20}=\frac{13}{20}-\frac{21}{400}=\frac{239}{400}$
$=>400 x=239 x+239$
$x=239 / 161$
Required ratio is 239 : 161.

CAT Online Course
Also Check: 841+ CAT Quant Questions with Solutions

CAT 2018 Slot-1


CAT 2018 Slot-2


CAT Quant Questions with Video Solutions

30 must do CAT Quant Questions with Video Solutions

CAT 2023
Classroom Course

We are starting classroom course for CAT 2023 in Gurugram from the month of December.
Please fill the form to book your seat for FREE Demo Classes

CAT 2023 Classroom Course starts in Gurgaon