CAT Quantitative Aptitude Questions | CAT Ratios, Mixtures, Alligations and Averages Questions

CAT Questions | Averages | Averages - Shoes
× CAT Questions

CAT Quantitative Aptitude
HCF and LCM Factors Remainders Factorials Digits Percents; Profits; SICI 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
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 Ratio, Mixtures and Averages. All we need to do is, forming the equation as per the question and substituting the options in that to get the answer. CAT exam is known to test on basics rather than high funda ideas. A range of CAT questions can be asked from Ratios and Proportions, Mixtures, Alligations and Averages. Make sure you master the topics. 2IIMs CAT questions bank provides you with CAT questions that can help you gear for CAT Exam CAT 2020.

Question 43: For a global sports event, Nike has to make 810 pair of shoes while Adidas has to make 900 pair of shoes, in the same period of time. Nike could complete the order 3 days before the scheduled time while Adidas completed the order 3 days before Nike. How many pair of shoes did each make per day if Adidas made 21 more shoes per day than Nike?

  1. 44 and 65
  2. 21 and 42
  3. 34 and 55
  4. 54 and 75

Fabulous 5,000 off on CAT Online Courses
Valid until 16th May

2IIM : Best Online CAT Coaching.

Best CAT Coaching in Chennai

CAT Coaching in Chennai - CAT 2021
Online Batches Available Now!

Explanatory Answer

Method of solving this CAT Question from Ratio, Mixtures and Averages: How the individual data points affect the average?

Let Nike make x pair of Shoes/day
So, Adidas makes (x + 21) pair of Shoes/day
Also, let the schedule delivery be in Y number of days.
x(y-3) = 810
=> xy – 3x = 810………………….(1)
and, (x+21) (y-6) = 900
=> xy + 21y – 6x -126 = 900
Putting xy from (1)
=> 810 + 3x + 21y – 6x = 1026
=> 21y – 3x = 216
=> y = \\frac{(72 + x)}{7}\\)
Putting y in equation (1) (Sometimes, you just gotta solve)
\\frac{(72 + x)* x}{7}\\) - 3x = 810
=> 72x + x2 – 21x = 810 * 7
=> x2 + 51x – 5670 = 0
From the looks of the equation, x has to be a large number. Start by putting the largest number in equation x = 54 satisfies the equation.

The question is "How many pair of shoes did each make per day if Adidas made 21 more shoes per day than Nike?"

Hence, the answer is "54 and 75".

Choice D is the correct answer.


CAT Preparation Online | CAT Arithmetic Videos On YouTube

Other useful sources for Arithmetic Questions | Ratio Averages Mixtures 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,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now