What is the remainder when 135 145 155 165 is divided by 29 ........

Quantitative Aptitude (CDS) Number System

Download Solution PDF

What is the remainder when 13⁵ + 14⁵ + 15⁵ + 16⁵ is divided by 29?

छोटे Courses बड़े Results

Master Number System

Prepare through Micro-courses

Try Now

Explanation:

As we know that
(xⁿ + yⁿ) is divided by (x + y)
If n be odd, then remainder be zero.
From question,
(13⁵ + 16⁵) + (14⁵ + 15⁵)
As, (13⁵ + 16⁵) is divided by 29 so, remainder be zero.
Also, (14⁵ + 15⁵) is divided by 29 so, remainder be zero.
Hence, 13⁵ + 14⁵+ 15⁵ + 16⁵ is divided by 29 then remainder will be zero.