Rates

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📘 Comprehensive Syllabus & Examination Guide

Rates

Official curriculum roadmap, subject/topic distribution, negative marking rules, pacing guidelines, and solved sample questions.

🎯 Mapped Subjects & Topic Question Distribution

Total Question Pool 100%
1 MCQs
Combined Active Syllabus
Rates
1 MCQs
Topic Pool
📊 Question Pool Structure
1 MCQs across fundamental, intermediate, and advanced concept tiers.
⚡ Recommended Pacing
45 to 60 seconds per MCQ. Flag complex problems and preserve 10 minutes for final revision.
⚖️ Scoring & Negative Marking
+1 mark per correct answer. In competitive tests with negative marking, -0.25 applies for incorrect guesses.

💡 Strategic Preparation & Exam Hall Guidelines

To maximize your score on Rates, candidates are advised to follow a structured three-pass approach. In the First Pass, solve all direct recall and formula-based questions within 30 seconds each to secure foundational marks. In the Second Pass, tackle multi-step analytical and quantitative reasoning problems. In the Third Pass, review marked questions and verify calculations.

Practice with the interactive player below to evaluate your speed and accuracy under real exam pressure. Every question features full mathematical formulas, step-by-step worked solutions, and conceptual explanations vetted by Apex Rankers Academy subject matter specialists.

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Solved Blueprint Examples

📝 Pre-Rendered Solved Sample Questions & Detailed Solutions

Showing 1 solved representative questions

Review the solved problems below to understand question phrasing, answer choices, and step-by-step solution logic prior to starting the full interactive practice drill:

Sample Question 1
Rates Hard • Quantitative Aptitude Test
A tap fills a tank in eight hours. Two taps at the bottom of the tank can empty it in 15 and 20 hours respectively. If all the three taps are opened simultaneously, the tank will be full in __ hours.
A 60
B 120
C 27
D No fill
✓ Correct Answer: B - 120
📖 Step-by-Step Solution & Conceptual Rationale:
Here is the step-by-step breakdown using the net work per hour approach:
Inlet rate (filling): \(\frac{1}{8}\) of the tank per hour.
First outlet rate (emptying): \(-\frac{1}{15}\) of the tank per hour.
Second outlet rate (emptying): \(-\frac{1}{20}\) of the tank per hour.
Net work done in 1 hour:\(\frac{1}{8}-\frac{1}{15}-\frac{1}{20}\)
Find the Least Common Multiple (LCM): The LCM of 8, 15, and 20 is 120.
Calculate the net rate:
\(\frac{15-8-6}{120}=\frac{1}{120}\)
Since \(\frac{1}{120}\) of the tank is filled every hour, it will take exactly 120 hours to fill the tank completely.
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