CAT Quantitative Aptitude Questions | CAT Permutation and Combination Questions

CAT Questions | Permutation Probability | Distribution

The question is from Permutation and Combination. It is from the topic probabilty. We need to find out the probability of a particular event. 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 20: A boss decides to distribute Rs. 2000 between 2 employees. He knows X deserves more that Y, but does not know how much more. So he decides to arbitrarily break Rs. 2000 into two parts and give X the bigger part. What is the chance that X gets twice as much as Y or more?

  1. \\frac{2}{5}\\)
  2. \\frac{1}{2}\\)
  3. \\frac{1}{3}\\)
  4. \\frac{2}{3}\\)

Online CAT Coaching for CAT 2019

Signup to sample the Best CAT Online Coaching

Video Explanation

Best CAT Coaching in Chennai

Starts Sat, Mar 16, 2019

Explanatory Answer

Method of solving this CAT Question from Permutation and Combination: A tough question which becomes easy if you get the basics right!!

The bigger part could be any number from 1000 to 2000.
Now, if the bigger part is to be at least twice as much as the smaller part, we have
X ≥ 2Y or X ≥ 2(2000 – X)
Or X ≥ \\frac{4000}{3}\\)
Given that X lies between 1000 and 2000, what is the probability that X lies between \\frac{4000}{3}\\) and 2000?
This probability is equal to \\frac{2000 − 4000/3}{2000 − 1000}\\) = \\frac{2}{3}\\)

The question is "What is the chance that X gets twice as much as Y or more?"

Hence the answer is "\\frac{2}{3}\\)"

Choice D is the correct answer.


Online CAT Coaching
Try it free!

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, Mar 23rd, 2019

★ CAT Coaching Info

Best CAT Coaching in Chennai

Sign up for a Free Demo of our CAT Coaching in Chennai

★ Schedule Demo

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