Multiple choice general knowledge math & puzzles

In a triangle XYZ, a line 'PQ' is drawn parallel to YZ, cutting XY at P and XZ at Q. The ratio of XP:XY is 2:3. What is the ratio XQ:QZ?

  1. 2:3

  2. 2:1

  3. 2:5

  4. Cannot be determined

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

By the Basic Proportionality Theorem, if PQ || YZ, then XP/XY = XQ/XZ. Given XP/XY = 2/3, then XQ/XZ = 2/3. This means XQ is 2 parts and XZ is 3 parts, leaving QZ as 1 part. Thus, XQ:QZ = 2:1.