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.

Create a FREE account and get:

All Quant Formulas and shortcuts PDF
40+ previous papers with solutions PDF
Top 500 MBA exam Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Mensuration Questions CAT Time And Work Questions CAT Averages Questions CAT Logarithms Questions CAT Number Systems Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Miscellaneous LR Questions CAT Arrangement Questions CAT Truth Lie Concept Questions CAT 2D & 3D LR Questions CAT Puzzles Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Odd One Out Questions CAT Verbal Ability Questions CAT Para Jumbles Questions CAT Para Summary Questions CAT Miscellaneous Questions

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.

CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

Free Quant Questions

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