CAT Quantitative Aptitude Questions | CAT Permutation and Combination Questions

CAT Questions | Permutation Probability | Number Theory
× CAT Questions

CAT Quantitative Aptitude
HCF and LCM Factors Remainders Factorials Digits Ratios,Mixtures;Averages 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
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 Permutation and Combination. A question which combines number theory and probability. We need to find out the probabilty of a multiple of 7 being a multiple of 5. This section hosts a number of questions which are on par with CAT questions in difficulty on CAT Permutation and Combination, and CAT Probability.

Question 19: N is a 3-digit number that is a multiple of 7; what is the probability that it will be a multiple of 5?

  1. \\frac{1}{5}\\)
  2. \\frac{11}{54}\\)
  3. \\frac{13}{64}\\)
  4. \\frac{13}{66}\\)

2IIM : Best Online CAT Coaching


Sign up and sample 9 classes
for free


Video Explanation


Best CAT Coaching in Chennai


Crash course - CAT 2019
Starts Sat, July 20th, 2019


Explanatory Answer

Method of solving this CAT Question from Permutation and Combination: A combination of Probability and Number Theory gives a perfect question.

N is a three digit multiple of 7.
N could be 105, 112, 119, 126…..994.
Or, 15 * 7, 16 * 7…..142 * 7.
Or there are 142–14 = 128 numbers.
Within these we need to locate the multiples of 5.
Or, we need to isolate multiples of 35.
Or, we need to see how many numbers there are in the list 105, 140, 175…..980.
35 * 3, 35 * 4…35 * 28…
Or, there are 26 such numbers.
Probability \\frac{26}{128}\\) = \\frac{13}{64}\\)

The question is "what is the probability that it will be a multiple of 5?"

Hence the answer is "\\frac{13}{64}\\)"

Choice C is the correct answer.

 


CAT Preparation Online | CAT Permutation and Combination; Probability Videos On YouTube


Other useful sources for Permutation and Combination Questions | Probability 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