CAT Quantitative Aptitude Questions | CAT Algebra - Polynomials questions

CAT Questions | Algebra | Polynomials - Fractions

The question is about Fractions. We need to find out the sum of a series in which each term is a fraction. Polynomials 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.

Question 14: What is the sum of \\frac{1}{1*4}\\) + \\frac{1}{2*5}\\) + \\frac{1}{3*6}\\) + \\frac{1}{4*7}\\) +... ?

  1. \\frac{9}{17}\\)
  2. \\frac{7}{15}\\)
  3. \\frac{11}{18}\\)
  4. \\frac{92}{173}\\)

2IIM : Best Online CAT Coaching


2IIM's Online CAT Coaching
Get CAT Last Mile Prep Course for 799 /-
CAT Online Coaching


Video Explanation


Best CAT Coaching in Chennai


CAT Coaching in Chennai - CAT 2020
Starts Sat, November 2nd, 2019


Explanatory Answer

Method of solving this CAT Question from CAT Algebra - Polynomials: How you would simplify it?

={\\frac{1}{3}\\) * [\\frac{1}{1}\\) - \\frac{1}{4}\\) + \\frac{1}{2}\\) - \\frac{1}{5}\\) + \\frac{1}{3}\\) - \\frac{1}{6}\\) + .. \\frac{1}{63}\\) - \\frac{1}{66}\\) + ..]}
As this gives us three decreasing infinite series, we can forget about the final terms. The overall sum is = {\\frac{1}{3}\\) * (\\frac{1}{1}\\) + \\frac{1}{2}\\) + \\frac{1}{3}\\))} = \\frac{1}{3}\\) * \\frac{11}{6}\\) = \\frac{11}{18}\\)

The question is "What is the sum of \\frac{1}{1*4}\\) + \\frac{1}{2*5}\\) + \\frac{1}{3*6}\\) + \\frac{1}{4*7}\\) +... ?"

Hence the answer is "\\frac{11}{18}\\)"

Choice C is the correct answer.

 


CAT Online Coaching | CAT Algebra Videos On YouTube


Other useful sources for Algebra Questions | Polynomials Sample Questions


CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

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?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com