# CAT Quantitative Aptitude Questions | CAT Logarithms and Exponents

###### CAT Questions | Logarithms and Exponents | Logarithm - Identities
CAT Questions

The question is from Log and Exponents. We can solve this easily using log identities. We need to find out the value of x from the given equation. With every extra hour you log in for this topic, it becomes exponentially simpler. CAT Logarithms and Exponents is a favorite in CAT Exam, and appears more often than expected in the CAT Quantitative Aptitude section in the CAT Exam

Question 10: If 33 + 6 + 9 + ……… 3x = (0.$$overline{037}$)-66, what is the value of x? 1. 3 2. 6 3. 7 4. 11 ## Nail CAT 2020 with Test Dojo2,500 off on Dojo and Part courses. Signup Now! #### 2IIM : Best Online CAT Coaching. ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2020Online Batches Available Now! ### Explanatory Answer ##### Method of solving this CAT Question from Logs and Exponents: Application of Basic Identities of Logarithms! First of all, let us define the xth term. 33+6+9+……….3x =$0.$$overline{037}$)-66 Whenever you encounter a distinctive number such as one given in R.H.S of above equation, always try to find its significance in the context of question. In this case L.H.S has 3a, so$0.$$overline{037}$) must be some form of 3a. With little hit and trial, you may find $0.$overline{037}$ = \\frac{1}{27}\\$ = $\frac{1}{3^3}\\$ = 3-3 33$1 + 2 + 3 + ...X) = 3 -3 * -66
=> 33 * 3x(x+1)/2 = 33*66
$$frac{x$x+1$}{2}$ = 66 x$x+1) = 132
Solving this equation for x > 0, we get x = 11.
You should directly be able to see that 132 = 11 * 12 => x= 11
And avoid wasting time solving the complete equation.

The question is "what is the value of x?"

##### Hence, the answer is "11".

Choice D is the correct answer.

###### CAT Coaching in ChennaiCAT 2020Enroll at 30,000/-

Online Classroom Batches Starting Now!

###### Best CAT Coaching in ChennaiPrices slashed by Rs 5000/-

Attend a Demo Class

## CAT Preparation Online | CAT Arithmetic Videos On YouTube

#### Other useful sources for Arithmetic Question | Logarithms and Exponents 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
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com