CAT 2020 Question Paper | Quants Slot 2

CAT Previous Year Paper | CAT Quants Questions | Question 6

One of the most crucial elements of your online CAT preparation is practicing questions from CAT previous year paper to set yourself up for the tricky questions the CAT Question Paper throws at you. You can find yourself stuck in trickier topics like Progressions and hence practicing CAT previous year paper for these topics becomes even more important. Here is a question on progressions from CAT 2020 question paper. Try your hands at this questions and see if you can easily steer through.
To solve more questions on Progressions, visit 2IIM's Question Bank.

Question 6 : Let the m-th and n-thterms of a Geometric progression be \\frac{3}{4}) and 12, respectively, when m < n. If the common ratio of the progression is an integer r, then the smallest possible value of r + n - m is

  1. -4
  2. -2
  3. 6
  4. 2

🎉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

\\frac{3}{4})    12
mth    nth
m > n
Given r is an integer, So rk = \\frac{12}{\frac{3}{4}}) = 16
rk = 24 or 42
Since asked for minimum possible value, Taking rk = {(-2)}2 or {(-4)}2
k = n – m (From m how many terms we have to jump to reach n)
We have two cases r = - 2 and n - m = 4 ----> r + n – m = 2
r = - 4 and n – m = 2 ----> r + n – m = - 2
-2 is the smallest possible value


The answer is, "-2"

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