CAT Quantitative Aptitude Questions | CAT Algebra - Functions questions

CAT Questions | Algebra | Functions - Greatest Integer Function
CAT Questions

The question is about Greatest Integer Function. Multiplication of a decimal and its Greatest Integer function is given and we need to find out the value of the decimal. Functions is a simple topic which involves a lot of basic ideas. Make sure that you a get of hold of them by solving these questions. A range of CAT questions can be asked based on this simple concept of Functions questions in the CAT Exam. Make sure you practice a lot of questions in CAT Functions Algebra to push your CAT preparation in the right direction. Functions as an idea is a fabulous idea if one can wrap their head around it the right way, and it has been one of the staple ideas tested by the CAT exam historically.

Question 16: Find the value of x for which x[x] = 39?

1. 6.244
2. 6.2
3. 6.3
4. 6.5

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Method of solving this CAT Question from CAT Algebra - Functions: Multiplication of a decimal and its and greatest integer function!

When x = 7,
x[x] = 7 * 7 = 49

When x = 6,
x[x] = 6 * 6 = 36

Therefore, x must lie in between 6 and 7 => [x] = 6
=> x = $$frac{45}{[x]}\\$ = $\frac{39}{6}\\$ = 6.5 The question is "Find the value of x for which x[x] = 39?" Hence the answer is "6.5" Choice D is the correct answer. Best CAT Online Coaching Try upto 40 hours for free Learn from the best! Already have an Account? CAT Coaching in ChennaiCAT 2024 Classroom Batches Starting Now! @Gopalapuram and @Anna nagar Best CAT Coaching in Chennai Attend a Demo Class Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! CAT Online Coaching | CAT Algebra Videos On YouTube Other useful sources for Algebra Questions | Functions 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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