# IPM Sample Paper 2020 | IPM Rohtak Quantitative Aptitude

###### IPMAT Sample Paper | IPMAT Question Paper | Question 40

IPMAT 2020 Sample Paper IPM Rohtak Quantitative Aptitude. Solve questions from IPMAT 2020 Sample Paper from IPM Rohtak and check the solutions to get adequate practice. The best way to ace IPMAT is by solving IPMAT Question Paper. To solve other IPMAT Sample papers, go here: IPM Sample Paper

Question 40 : If log 2, log (2x - 1) and log (2x + 3) are in A.P, then x is equal to ____

1. $$frac{5}{2}\\$ 2. log25 3. log32 4. 32 ## 🚀 Introductory Offer! Buy CAT'21 95-99 Booster Course for just Rs. 4500 Valid until 19th Sep #### 2IIM : Best Online CAT Coaching. ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2021Online Batches Available Now! ### Explanatory Answer log 2 , log$2x-1) , log (2x+3) are in A.P. implies that 2, (2x-1) and (2x+3) are in G.P.

When 3 three terms a, b, c are in G.P. b becomes the Geometric Mean of a, b

Therefore, (2x-1) is the Geometric Mean of 2 and (2x+3)

(2x-1)2 = 2 * (2x+3)
4x2 + 1 - 4x = 4x + 6
4x2 – 8x – 5 = 0
(2x - 5) (2x + 1) = 0

x = $$frac{5}{2}\\$ or x = -$\frac{1}{2}\\$ When x = -$\frac{1}{2}\\$, the second term becomes, log$-2). Since log(negative number) is not legal. x = $$frac{5}{2}\\$ Therefore, the value of x = $\frac{5}{2}\\$. The question is "If log 2, log$2x - 1) and log (2x + 3) are in A.P, then x is equal to ____"

##### Hence, the answer is $$frac{5}{2}\\$ Choice A is the correct answer ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ###### Already have an Account? ##### 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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