📚 CBSE Grade-10 Study Guide
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Mathematics — Standard (041) — CBSE Class 10 board question

Q1. [1] § 7.4 Summary
In the figure given below, points P, Q, R divides the line segment AB in four equal parts. The point Q divides PB in the ratio
  1. A 1 : 3
  2. B 2 : 3
  3. C 1 : 2
  4. D 1 : 1
Previously asked in CBSE board exam
2025 30/5/1 Q6
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Generated by claude-sonnet-4-6 · 2026-06-15 10:31 · grounding rag
Model Answer

AB is divided into 4 equal parts: AP = PQ = QR = RB.

PB = PQ + QR + RB = 3 parts; PQ = 1 part.

So Q divides PB in the ratio 1 : 2. → Option C

Explanation

From P to B there are 3 equal parts. Q is 1 part from P and 2 parts from B, giving PQ : QB = 1 : 2. Students often confuse this with the ratio relative to the full segment AB — always re-read the segment named in the question (here PB, not AB).

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Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.