🎉 Ace XAT 2025 with 2IIM's Crash Course - Enrol now


🎉Effortlessly calculate your score with the 2IIM Score Calculator!🎉

CAT 2019 Question Paper | Quants Slot 1

CAT Previous Year Paper | CAT Quants Questions | Question 15

The importance that Arithmetic occupies in the CAT syllabus cannot be stressed enough. Here is another question from Time and Work. With good CAT Preparation, these arithmetic questions are easy pickings. The speed and accuracy with which these arithmetic questions are solved gives the edge to aspirants who are well prepared. Try solving this question. If you are unable to solve, ensure you spend enough time in your CAT Preparation journey on arithmetic topics. CAT previous year paper are a good place to start.

Question 15 : At their usual efficiency levels, A and B together finish a task in 12 days. If A had worked half as efficiently as she usually does, and B had worked thrice as efficiently as he usually does, the task would have been completed in 9 days. How many days would A take to finish the task if she works alone at her usual efficiency?

  1. 18
  2. 12
  3. 24
  4. 36

🎉 Ace XAT 2025 with 2IIM's Crash Course - Enrol now


Best CAT Online Coaching
Try upto 40 hours for free
Learn from the best!


2IIM : Best Online CAT Coaching.

🎉Effortlessly calculate your score with the 2IIM Score Calculator!🎉


2IIM : Best Online CAT Coaching.


Video Explanation


Best CAT Coaching in Chennai


CAT Coaching in Chennai - CAT 2022
Limited Seats Available - Register Now!


Explanatory Answer

We know that A and B together would finish a task in 12 days
So, ----(1)
Now, if A works in half the efficiency and B works thrice as efficiently, the work gets completed in 9 days.
----(2)
Multiply (1) by 3
----(3)
Solving (2) and (3) we get,


A = 18 days


The question is "At their usual efficiency levels, A and B together finish a task in 12 days. If A had worked half as efficiently as she usually does, and B had worked thrice as efficiently as he usually does, the task would have been completed in 9 days. How many days would A take to finish the task if she works alone at her usual efficiency? "

Hence, the answer is 18

Choice A is the correct answer.

 

CAT Questions | CAT Quantitative Aptitude

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?

Mobile: (91) 99626 48484 / 94459 38484
WhatsApp: WhatsApp Now
Email: info@2iim.com