Quantitative Aptitude – Arithmetic – Mixtures – Bottle 1 contains a mixture of milk

Quantitative Aptitude – Arithmetic – Mixtures

Question

CAT 2017 - Afternoon slot - Quantitative Aptitude - Arithmetic - Mixtures - Bottle 1 contains a mixture of milk
Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio. In what ratio of volumes should the liquids in Bottle 1 and Bottle 2 be combined to obtain a mixture of milk and water in 3 : 1 ratio?

A) 27 : 14
B) 27 : 13
C) 27 : 16
D) 27 : 18

Answer

Option (B)

Solution

From CAT 2017 – Quantitative Aptitude – Arithmetic – Mixtures, we can see that,
Volume of Bottle 1 = A
Volume of bottle 2 = B
Ratio in which mixtures of Bottle 1 and Bottle 2 will be mixed
(7A/9 + 9B/13)/ (2A/9+4B/13) = 3/1
On solving we get, A/B = 27/13
Option (B)

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Mixtures – Ques : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Time and Work – Q1: Amal can complete a job in 10 days and Bimal can complete it in 8 days.
Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1.
On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
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Quantitative Aptitude – Arithmetic – Mixtures – Bottle 1 contains a mixture of milk
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