Chain Rule MCQs - Percentages, Ratio & Proportion

Prepare for Chain Rule MCQs - Percentages, Ratio & Proportion with verified questions, past-paper solutions, and conceptual explanations for CSS, PMS, FPSC, PPSC, and NTS examinations.

236 Solved Questions • 177 Mins Practice • Updated for 2026 Competitive Exams
MCQS
2026 Solved Edition · Updated October 2026 · Verified Editorial Standards

Welcome to the verified preparation module for Chain Rule MCQs - Percentages, Ratio & Proportion on McqsMind. This comprehensive set offers solved multiple-choice questions with answers, detailed explanations, and authentic past-paper style questions aligned with the latest syllabus of Percentages, Ratio & Proportion (Mathematics-General Ability).

100% Verified Answer Keys CSS, PMS, FPSC, PPSC, NTS Ready 2026/2027 Syllabus Guidelines

Direct Definition & Conceptual Scope

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Chain Rule - Percentages, Ratio & Proportion constitutes an essential examination topic within Mathematics-General Ability, evaluating theoretical principles, historical context, and practical problem-solving applications. On MCQsMind, candidates practice verified past-paper solutions, conceptual breakdowns, and syllabus-aligned questions tailored for CSS, PMS, and competitive screening examinations.

Solved Questions

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236 MCQs Page 1

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Topic Notes: Chain Rule

Quick Revision 3 min read 14 key points
Section 1 of 4

1 1. Definition and Core Concept

4 points
  • Definition
    Chain Rule: A mathematical method used to solve problems involving multiple variables that are directly or inversely proportional to each other, allowing the calculation of an unknown quantity based on known relationships.
  • Theory
    Direct Proportion: A relationship where two quantities increase or decrease together. If A increases, B also increases. The ratio A/B remains constant.
  • Theory
    Inverse Proportion: A relationship where one quantity increases as the other decreases. If A increases, B decreases. The product A × B remains constant.
  • Theory
    The M-D-W Formula: A standard mnemonic for work problems: (M1 × D1 × H1) / W1 = (M2 × D2 × H2) / W2, where M=Men, D=Days, H=Hours, and W=Work done.
Section 1 / 4
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1
11 men can complete a job in 47 days working 7 hours per day. How many days will 16 men take if they work 5 hours per day?
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2
11 men can complete a job in 23 days working 7 hours per day. How many days will 16 men take if they work 5 hours per day?
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3
15 men can complete a job in 29 days working 9 hours per day. How many days will 20 men take if they work 7 hours per day?
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4
13 men can complete a job in 21 days working 7 hours per day. How many days will 18 men take if they work 5 hours per day?
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5
13 men can complete a job in 15 days working 9 hours per day. How many days will 18 men take if they work 7 hours per day?
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6
11 men can complete a job in 41 days working 9 hours per day. How many days will 16 men take if they work 7 hours per day?
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7
10 men can complete a job in 23 days working 6 hours per day. How many days will 15 men take if they work 4 hours per day?
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8
10 men can complete a job in 41 days working 8 hours per day. How many days will 15 men take if they work 6 hours per day?
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9
14 men can complete a job in 35 days working 6 hours per day. How many days will 19 men take if they work 4 hours per day?
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10
14 men can complete a job in 41 days working 8 hours per day. How many days will 19 men take if they work 6 hours per day?
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Pedagogical Syllabus Blueprint

Chain Rule MCQs - Percentages, Ratio & Proportion: Preparation Strategy & Exam Blueprint

Examination Weightage & Commission Distribution

In Pakistan's premier competitive examinations—including the Federal Public Service Commission (FPSC General Recruitment & CSS MPT), Punjab Public Service Commission (PPSC Lecturer, Tehsildar & PMS Screening), KPPSC, SPSC, and BPSC—questions derived from Chain Rule MCQs - Percentages, Ratio & Proportion consistently constitute a decisive 10% to 25% weightage of the Percentages, Ratio & Proportion paper. Testing agencies frequently evaluate both foundational factual recall and deeper analytical comprehension, requiring aspirants to master key dates, statutory articles, constitutional clauses, and thematic definitions.

High-Yield Conceptual Pillars & Distractor Analysis

Historical trend analysis across past five-year examination cycles demonstrates that examiner traps frequently involve closely matched numerical alternatives, chronologically contiguous treaties, and semantic subtleties in statutory phraseology. When preparing Chain Rule MCQs - Percentages, Ratio & Proportion, candidates must deliberately review the underlying rationale provided for every question rather than merely memorizing raw answer options. Understanding why incorrect distractors fail is the most reliable predictor of achieving top percentiles in computerized and optical mark recognition (OMR) screening tests.

Negative Marking Mitigation & Time Management Protocol

For examinations enforcing negative marking penalties (such as PPSC's 0.25-mark deduction per erroneous response or NTS gatekeeper quotas), an aggressive elimination technique must be deployed. Candidates should systematically rule out improbable options first to elevate probability thresholds from 25% to 50% or 100%. Allocating an average of 45 to 60 seconds per item during mock trials builds the psychological stamina and cognitive precision required to complete 100-question papers within official 90-minute time limits.

Recommended Reference Sources & Statutory Reading

To achieve definitive conceptual mastery in Mathematics-General Ability, candidates are advised to cross-reference our solved explanations with primary gazettes, statutory texts, and canonical academic textbooks. Verifying controversial questions against authentic official repositories guarantees that prospective civil servants and professional candidates present incontestable answers during both optical paper evaluations and viva voce departmental interviews.