CAT 2021 Question Paper | Quant Slot 1

CAT Previous Year Paper | CAT Quant Questions | Question 12

CAT 2021 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 12 : Amar, Akbar and Anthony are working on a project. Working together Amar and Akbar can complete the project in 1 year, Akbar and Anthony can complete in 16 months, Anthony and Amar can complete in 2 years. If the person who is neither the fastest nor the slowest works alone, the time in months he will take to complete the project is


🎉Grab a Vijayadashami & Dussehra Discount of up to ₹ 12,000 on 2024 & 2025 CAT courses! Offer valid until 12th October.


Register Now

🎉 2IIM CAT Revision Course 2024: 100+ Hours of Intensive Prep and everything is covered—Join Now!!! 🎉


Register Now


Video Explanation


Best CAT Coaching in Chennai


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


Explanatory Answer

Let's consider the efficiencies of Amar, Akbar, and Anthony to be x, y, z respectively.
x + y = \\frac{1}{12})
y + z = \\frac{1}{16})
z + x = \\frac{1}{24})
If we add the above equations, we will get 2(x + y + z) = \\frac{3}{16})
x + y + z = \\frac{3}{32})
From the above equations, we can get x = \\frac{1}{32}), y = \\frac{5}{96}), z = \\frac{1}{96})
Hence, x is neither the fastest nor the slowest.
Amar can complete the project in 32 months.


The answer is '32'

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