## Question

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. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture has

A) The same amount of water and liquid B
B) The same amount of liquids B and C
C) More water than liquid B
D) More water than liquid A

Option (C)

## Solution

From CAT 2017 – Quantitative Aptitude – Arithmetic – Mixtures, we can see that,
Ratio of water in 1st mixture = 1/3
Ratio of A in 1st mixture = 2/3
Ratio of water in 2nd mixture = 1/4
Ratio of B in 2nd mixture = 3/4
Ratio of water in 3rd mixture = 1/5
Ratio of C in 3rd mixture = 4/5
The mixtures are divided in the ratio 4:3:2
So, water according to this composition = 4/9 * 1/3 + 3/9 * 1/4 + 2/9 * 1/5 = 149/540 = 0.27
Solution A in the composition = 4/9 * 2/3 = 8/27 = 0.29
Solution B in the composition = 3/9 * 3/4 = 9/36 = 0.25
Solution C in the composition = 2/9 * 4/5 = 8/45 = 0.17
We can see that Option C is correct

## CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Mixtures – Ques: 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.
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.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance
Quantitative Aptitude – Arithmetic – Percentages
Quantitative Aptitude – Arithmetic – Profit and Loss
Quantitative Aptitude – Arithmetic – Pipes and Cisterns – Ques: A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours.
Quantitative Aptitude – Arithmetic – Averages
Quantitative Aptitude – Arithmetic – Ratios

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a) 750+ Videos covering entire CAT syllabus
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## Question

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

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)

## 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.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance
Quantitative Aptitude – Arithmetic – Percentages
Quantitative Aptitude – Arithmetic – Profit and Loss
Quantitative Aptitude – Arithmetic – Pipes and Cisterns – Ques: A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours.
Quantitative Aptitude – Arithmetic – Averages
Quantitative Aptitude – Arithmetic – Ratios

## Online Coaching Course for CAT Exam Preparation

a) 750+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
c) Study Material & PDFs for practice and understanding
d) 10 Mock Tests in the latest pattern
e) Previous Year Questions solved on video