CAT Quantitative Aptitude Questions | CAT Percentage Questions - Mixtures

CAT Questions | Percentages Problems| Percentage - Mixtures
× CAT Questions

CAT Quantitative Aptitude
HCF and LCM Factors Remainders Factorials Digits Ratios,Mixtures;Averages Speed & Time; Races Logarithms and Exponents Pipes,Cisterns; Work,Time Set Theory Geometry Coordinate Geometry Mensuration Trigonometry Linear & Quadratic Equations Functions Inequalities Polynomials Progressions Permutation Probability
CAT Verbal
Para Jumble Sentence Correction Sentence Elimination Paragraph Completion Reading Comprehension Critical Reasoning Word Usage Para Summary Text Completion
CAT LR DI
DI LR: Bar Graphs DI LR: Pie Charts DI LR: Multiple Graphs DI LR: Word Problems DI LR: Line Graphs DI LR: Sequencing DI LR: Grid Puzzles DI LR: Math Puzzles DI LR: Visualization DI LR: Other Patterns DI LR: CAT 2017 Cet DI LR: CAT 2017 Rural Survey DI LR: CAT 2017 Happiness DI LR: CAT 2017 Airlines DI LR: CAT 2017 Travel Route DI LR: CAT 2017 Food Delivery DI LR: CAT 2017 Square Layout DI LR: CAT 2017 Team Project DI LR: CAT 2017 Assets DI LR: CAT 2017 Pizza DI LR: CAT 2017 Electives DI LR: CAT 2017 Chess DI LR: CAT 2017 Dorms DI LR: CAT 2017 Tea DI LR: CAT 2017 Friends DI LR: CAT 2017 Security Scan

CAT Online Coaching
CAT Question MenuCAT Questions

The question is from CAT Percentages. This question is a combination of two topics: Percentages and Mixtures. 2IIMs CAT question bank provides you with CAT questions that can help you gear for CAT Exam CAT 2019. Percentages is an important topic for CAT. This question is about mixing two alloys in a ratio to create a new alloy which contains three metals.

Question 3: An alloy of copper and aluminum has 40% copper. An alloy of Copper and Zinc has Copper and Zinc in the ratio 2: 7. These two alloys are mixed in such a way that in the overall alloy, there is more aluminum than Zinc, and copper constitutes x% of this alloy. What is the range of values x can take?

  1. 30% ≤ x ≤ 40%
  2. 32.5% ≤ x ≤ 42%
  3. 33.33% ≤ x ≤ 40%
  4. 32.25% ≤ x ≤ 40%

Try 2IIM Online CAT Coaching


Best CAT Online Coaching


Best CAT Coaching in Chennai


Batches filling fast.
Starts Sat, April 27th, 2019


Explanatory Answer

Method of solving this CAT Question from Percentages - Mixtures: What percentage of alloy 1 needs to be mixed with Alloy 2 to get alloy 3.

Alloy 1 Copper Aluminium
2x 3x
Alloy 2 Copper Zinc
2y 7y

If Aluminium and Zinc have to be equal, 3x = 7y. The simplest case occurs at the LCM, when both Aluminium and Zinc are 21kg.

Alloy 1 Copper Aluminium
14 21
Alloy 2 Copper Zinc
6 21

Even a gram of alloy 1 above this level would mean that there is more Aluminium than Zinc in the total alloy. So, this table is a limit on the percentages of different metals.

The percentage of Copper in the total alloy would be (14 + 6)* 100/62 = 32.25%

On the other hand, if we want more Aluminium than Zinc, we can use tons and tons of alloy 1, and only a microgram of Alloy 2. The quantity of alloy 2 can be made so small that its presence can be almost neglected, as it will have as good as zero impact on the overall percentage of copper. This is another extreme case, in which Copper will have 40% weight in the alloy 2?(2+3).

Thus, the percentage of Copper ranges from 32.25% to 40% in this alloy.

The question is "What is the range of values x can take?"
x could range from 32.25% to 40%

Hence, the answer is 32.25% to 40%.

Choice D is the correct answer.

 

Best Online CAT Coaching
Learn from 4 time CAT 100 percentiler

Register in 2 easy steps and start learning in 30 seconds!

★ Sign up for Free

Already have an Account?

★ Login to Continue

CAT Coaching in Chennai

Next Weekend Batch Starts Sat, April 27th, 2019

★ CAT Coaching Info

Best CAT Coaching in Chennai
Batches filling fast

Personalised attention, Small batch sizes.

★ Schedule Demo


CAT Preparation Online | CAT Arithmetic Videos On YouTube


Other useful sources for Arithmetic Question | Percentages Profits SICI Sample Questions


CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT


Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
10-C, Kalinga Colony, Bobbili Raja Salai
K.K.Nagar, Chennai. India. Pin - 600 078

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com