CAT 2023 Question Paper | Quant Slot 2

CAT Previous Year Paper | CAT Quant Questions | Question 20

CAT 2023 Quant was dominated by Algebra followed by Arithmetic. 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 20 : Let both the series a1,a2,a3,… and b1,b2,b3… be in arithmetic progression such that the common differences of both the series are prime numbers. If a5=b9,a19=b19 and b2=0, then a11 equals

  1. 79
  2. 83
  3. 86
  4. 84

🪔 Celebrate Tamil New Year with a Nation-Wide Offer! Get up to ₹20,000 OFF on our CAT courses ✨


2IIM : Best Online CAT Coaching.

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


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

Let the common differences of the series a1,a2,a3,… and b1,b2,b3 be p and q respectively.
We are told that p and q are prime numbers.
a5=b9
a19=b19
a19−a5=b19−b9
14×p=10×q
pq=1014=57
Since p&q are primes & pq=57, we have p=5&q=7
a11=a5+6p
a11=b9+6p
a11=b2+7q+6p
a11=0+7×7+6×5
a11=79


The question is " Let both the series a1,a2,a3,… and b1,b2,b3… be in arithmetic progression such that the common differences of both the series are prime numbers. If a5=b9,a19=b19 and b2=0, then a11 equals "

The answer is '79'

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