# CAT Quantitative Aptitude Questions | CAT Algebra - Progressions questions

###### CAT Questions | Algebra | Progressions - Arithmetic Progression
CAT Questions

The question is about Arithmetic Progression. Four terms in an AP is given and we need to find out the relationship between the terms formed by multiplying three terms at a time. With some simple but very powerful ideas, one can cut down on a lot of working when it comes to progressions. For example, anchoring a progression around its middle term can be very useful. CAT Exam tests the idea of progression often in the CAT Quantitative Aptitude section and this could also be tested in DI LR section of the CAT Exam as a part of a puzzle.

Question 10: a, b, c and d are in A.P., What can we say about terms bcd, acd, abd and abc?

1. They are also in A.P.
2. They are also in H.P.
3. They are also in G.P.
4. They are not in an A.P., G.P. or H.P.

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### Video Explanation

Arithmetic Progression

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##### Method of solving this CAT Question from CAT Algebra - Progressions: One simple division will lead to the solution.

a, b, c and d are in A.P.
Dividing through out this A.P. by abcd, we get
$$frac{a}{abcd}\\$ , $\frac{b}{abcd}\\$ , $\frac{c}{abcd}\\$ , $\frac{d}{abcd}\\$ are in A.P. $\frac{1}{bcd}\\$ , $\frac{1}{acd}\\$ , $\frac{1}{abd}\\$ , $\frac{1}{abc}\\$ are in A.P. => bcd, acd, abd and abc are in H.P. The question is "a, b, c and d are in A.P., What can we say about terms bcd, acd, abd and abc?" ##### Hence the answer is "They are in H.P." Choice B is the correct answer. ###### Signup and Sample 9 full classes for Free ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2020Enroll at 35,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in ChennaiRegister Online, get Rs 7000/- off Attend a Demo Class ## CAT Online Preparation | CAT Algebra Videos On YouTube #### Other useful sources for Algebra Questions | Arithmetic Progressions Geometric Progressions Sample Questions ##### 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? Phone:$91) 44 4505 8484
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