CAT Practice : Geometry-Triangles

You are here: Home  CAT Questionbank   CAT Quant  Geometry: Triangles  Question 7
If you are given product of two sides of a triangle with integer sides, can you figure out the third side?

Triangles - Integer values

    Q.7: △ABC has integer sides x, y, z such that xz = 12. How many such triangles are possible?
    1. 8
    2. 6
    3. 9
    4. 12

 

  • Correct Answer
    Choice (C). 9

Detailed Solution

xz = 12
x,z can be 1, 12 or 2, 6 or 3, 4

Possible triangles
1 - 12 - 12
2 - 6 - 5;    2 - 6 - 6;    2 - 6 - 7
3 - 4 - 2;    3 - 4 - 3;    3 - 4 - 4;    3 - 4 - 5;    3 - 4 - 6.

There are totally 9 triangles.
Choice (C)

Correct Answer: 9



Our Online Course, Now on Google Playstore!

2IIM's App

Fully Functional Course on Mobile

All features of the online course, including the classes, discussion board, quizes and more, on a mobile platform.


Cache Content for Offline Viewing

Download videos onto your mobile so you can learn on the fly, even when the network gets choppy!

Get it on Google Play
Geometry is probably the most vital topic as far as CAT preparation is concerned. Geometry sets the stage for Trigonometry, Cogeo and Mensuration as well.