# CAT Quantitative Aptitude Questions | CAT Algebra - Polynomials questions

###### CAT Questions | Algebra | Polynomials - Sum of squares of nos.

The question is about Sum of squares of nos. There is a formula for adding the squares of N natural numbers. What about sum of squares of N odd numbers? 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 4: What is the sum of 12 + 32 + 52 …….312?

1. 9455
2. 5456
3. 3468
4. 4892

## Best CAT Coaching in Chennai

#### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now!

##### Method of solving this CAT Question from CAT Algebra - Polynomials: Use the formula for sum of squares of numbers !!

This Expression is same as (12 + 22 + 32 + 42 + 52 …….302 + 312) – (22 + 42 + 62 ….302)

= (12 + 22 + 32 + 42 + 52 …….302 + 312) – 4(12+ 22 + 32 ….152)

12 + 22 + 32 +.......... + n2 = (n(n+1)(2n+1))/6, for all n > 1.

Expresssion = (31 * 32 * 63)/6 - (4 * 15 * 16 * 31)/6
= (31 * 32 * 33)/6 = 31 * 11 * 16 = 5456

The question is "What is the sum of 12 + 32 + 52 …….312?"

##### Hence the answer is "5456"

Choice B is the correct answer.

###### CAT Coaching in ChennaiCAT 2024

Classroom Batches Starting Now! @Gopalapuram and @Anna nagar

###### Best CAT Coaching in Chennai

Attend a Demo Class

##### 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