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# NMTC Inter Level (Final Stage)

Q)

$$N=\sqrt { 1+1/{ 1 }^{ 2 }+1/2^{ 2 } } +\sqrt { 1+1/{ 2 }^{ 2 }+1/3^{ 2 } } +\quad ......+\sqrt { 1+1/{ 2014 }^{ 2 }+1/2015^{ 2 } }$$

Find the integral part of N

Q) Is it possible to write the numbers 1,2,3.....,121 in an 11x11 table so that any two consecutive numbers be written in cells with common side and all perfect squares lie in a straight column?

Note by Rajat Gupta
2 years, 2 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

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