UPSC CAPF (AC) 2025 Paper I · Question 59

Question 59 of the UPSC CAPF (AC) 2025 Paper I (3 August 2025). Try it first, then open the answer and explanation.

1. CAPF 2025 · P-I · Q59 · General Mental Ability · Arithmetic

   A point P on the ground is on the same line as the bases and the tips of a pair of trees A and B such that P is on the left of both these trees. The ratio of heights of A and B is 1:3. If the distance between P and A is a metre, then the distance between A and B, in metre, is

   1. a
   2. 2a
   3. 3a
   4. 4a

   भूमि पर एक बिन्दु P, पेड़ों के एक युग्म A और B के आधारों और शीर्षों की एक ही रेखा पर इस प्रकार स्थित है कि P इन दोनों पेड़ों के बाईं ओर है। A और B की ऊँचाइयों का अनुपात 1 : 3 है। यदि P और A के बीच की दूरी a मीटर है, तो A और B के बीच की दूरी, मीटर में, कितनी है?

   1. a
   2. 2a
   3. 3a
   4. 4a
   Show answer

   Answer: (2) 2a

   उत्तर: (2) 2a

   P and the two tree-tops lie on one straight line, so by similar triangles each height is proportional to its distance from P: PB = 3 × PA = 3a. Hence AB = PB - PA = 3a - a = 2a (3a is the distance from P to B, not from A to B).

Answer it in the practice appMake a topic-wise quiz