Ratios

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๐Ÿ“˜ Comprehensive Syllabus & Examination Guide

Ratios

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

๐ŸŽฏ Mapped Subjects & Topic Question Distribution

Total Question Pool 100%
5 MCQs
Combined Active Syllabus
Ratios
5 MCQs
Topic Pool
๐Ÿ“Š Question Pool Structure
5 MCQs across fundamental, intermediate, and advanced concept tiers.
โšก Recommended Pacing
45 to 60 seconds per MCQ. Flag complex problems and preserve 10 minutes for final revision.
โš–๏ธ Scoring & Negative Marking
+1 mark per correct answer. In competitive tests with negative marking, -0.25 applies for incorrect guesses.

๐Ÿ’ก Strategic Preparation & Exam Hall Guidelines

To maximize your score on Ratios, 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.

Ready to test your knowledge? Launch interactive 1-by-1 practice with instant feedback, bookmarking, and step-by-step rationales.
Solved Blueprint Examples

๐Ÿ“ Pre-Rendered Solved Sample Questions & Detailed Solutions

Showing 5 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
Ratios Hard • Quantitative Aptitude Test
The total distance of a road trip is 3,000 miles. Ahmad drove $\frac{3}{4}$ of the total distance and Ali drove the remainder. How many miles did Ali drive?
A 500 miles
B 750 miles
C 1,000 miles
D 2,250 miles
โœ“ Correct Answer: B - 750 miles
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
The fraction of the distance driven by Ali is: \[1 - \frac{3}{4} = \frac{1}{4}\] \[\text{Ali's Distance} = \frac{1}{4} \times 3000 = 750\text{ miles}\] Thus, the correct option is (B).
Sample Question 2
Ratios Hard • Quantitative Aptitude Test
The ratio of the weight of an object on the Moon to its weight on Earth is $1 : 6$. If an astronaut weighs 180 lbs on Earth, what is his weight on the Moon?
A 15 lbs
B 20 lbs
C 25 lbs
D 30 lbs
โœ“ Correct Answer: D - 30 lbs
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Using the given ratio: \[\text{Weight on Moon} = \frac{1}{6} \times \text{Weight on Earth} = \frac{1}{6} \times 180 = 30\text{ lbs}\] Thus, the correct option is (D).
Sample Question 3
Ratios Hard • Quantitative Aptitude Test
If $a : b = 6 : 7$ and $b : c = 8 : 9$, find the compound ratio $a : b : c$.
A 48:56:63
B 42:56:63
C 48:54:63
D 36:49:63
โœ“ Correct Answer: A - 48:56:63
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
To combine the ratios, make the term for $b$ common ($\text{LCM}(7, 8) = 56$): \[a : b = (6 \times 8) : (7 \times 8) = 48 : 56\] \[b : c = (8 \times 7) : (9 \times 7) = 56 : 63\] Therefore: \[a : b : c = 48 : 56 : 63\] Thus, the correct option is (A).
Sample Question 4
Ratios Hard • Quantitative Aptitude Test
The ratio of books sold by shop A to shop B is $7 : 4$, and the ratio of books sold by shop B to shop C is $5 : 3$. If shop C sold 36 books, how many books did shop A sell?
A 70
B 84
C 105
D 140
โœ“ Correct Answer: C - 105
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Express the continuous ratio $A : B : C$: \[A : B = 7 : 4 = 35 : 20\] \[B : C = 5 : 3 = 20 : 12\] Thus: \[A : B : C = 35 : 20 : 12\] Given that shop C sold 36 books ($12x = 36 \implies x = 3$): \[A = 35 \times 3 = 105\] Thus, shop A sold 105 books. Thus, the correct option is (C).
Sample Question 5
Ratios Hard • Quantitative Aptitude Test
The subscriber counts of three channels A, B, and C are in the ratio $2 : 5 : 6$. If the total number of subscribers across all three channels is 65,000, find the combined number of subscribers for channels A and C.
A 10,000
B 25,000
C 40,000
D 55,000
โœ“ Correct Answer: C - 40,000
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
The sum of the ratio parts is: \[2 + 5 + 6 = 13\text{ parts}\] Value of one ratio part: \[\frac{65000}{13} = 5000\] The combined ratio parts for channels A and C is $2 + 6 = 8\text{ parts}$. \[\text{Combined Subscribers} = 8 \times 5000 = 40,000\] Thus, the correct option is (C).
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