Proportions

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📘 Comprehensive Syllabus & Examination Guide

Proportions

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

🎯 Mapped Subjects & Topic Question Distribution

Total Question Pool 100%
3 MCQs
Combined Active Syllabus
Proportions
3 MCQs
Topic Pool
📊 Question Pool Structure
3 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 Proportions, 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 3 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
Proportions Medium • Quantitative Aptitude Test
A high-speed printer prints 4 pages in 15 seconds. At this constant rate, how many seconds will it take to print 25 pages?
A 60 seconds
B 75 seconds
C 93.75 seconds
D 100 seconds
✓ Correct Answer: C - 93.75 seconds
📖 Step-by-Step Solution & Conceptual Rationale:
The time required per page is $\frac{15}{4} = 3.75\text{ seconds}$. For 25 pages: \[\text{Total Time} = 25 \times 3.75 = 93.75\text{ seconds}\] Thus, the correct option is (C).
Sample Question 2
Proportions Medium • Quantitative Aptitude Test
If the proportion is $7 : 4 = 21 : x$, what is the value of $x$?
A 8
B 10
C 12
D 14
✓ Correct Answer: C - 12
📖 Step-by-Step Solution & Conceptual Rationale:
In a proportion, the product of extremes equals the product of means: \[\frac{7}{4} = \frac{21}{x} \implies 7x = 4 \times 21 = 84 \implies x = \frac{84}{7} = 12\] Thus, the correct option is (C).
Sample Question 3
Proportions Hard • Quantitative Aptitude Test
On a map scale, a distance of 10 miles is represented by 1.5 cm. What distance on the map represents 40 miles?
A 3 cm
B 4.5 cm
C 6 cm
D 7.5 cm
✓ Correct Answer: C - 6 cm
📖 Step-by-Step Solution & Conceptual Rationale:
Using direct proportion: \[\text{Map Distance} = \frac{1.5\text{ cm}}{10\text{ miles}} \times 40\text{ miles} = 1.5 \times 4 = 6\text{ cm}\] Thus, the correct option is (C).
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