Question 22

In a triangle ABC the length of side BC is 295. If the length of side AB is a perfect square, then the length of side AC is a power of 2, and the length of side AC is twice the length of side AB. Determine the perimeter of the triangle.

Solution

Let AC = $$2^k$$
AC = 2 * AB
So, AB = $$2^{k - 1}$$
Only 256 and 512 satisfy this condition as the third side is 295 and we have to ensure that sum of the two sides of the triangle is greater than the third side.
Thus, the perimeter = (256 + 512 + 295) = 1063.
Hence, option C is the correct answer.

Share on Whatsapp Share on Whatsapp

Create a FREE account and get:

All Quant Formulas and shortcuts PDF
170+ previous papers with solutions PDF
Top 5000+ MBA exam Solved Questions for Free

IIFT 2010 Question Paper

In a triangle ABC the length of side BC is 295. If the length of side AB is a perfect square, then the length of side AC is a power of 2, and the length of side AC is twice the length of side AB. Determine the perimeter of the triangle.

Login to your Cracku account

Hello! 👋

Ready to Unlock Your Success?

Please Enter Your OTP

Please enter the following details

Create a free Cracku account

Get Started with 5000+ Free CAT Questions & Mock Tests with Detailed Solutions!