Averages

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๐Ÿ“˜ Comprehensive Syllabus & Examination Guide

Averages

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
Averages
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 Averages, 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

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
Averages Medium • Quantitative Aptitude Test
What is the average of the first five consecutive odd positive integers (1, 3, 5, 7, 9)?
A 3
B 4
C 5
D 6
โœ“ Correct Answer: C - 5
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
The first five odd integers are , 3, 5, 7, 9$. Their sum is: \[1 + 3 + 5 + 7 + 9 = 25\] Their average is: \[\text{Average} = \frac{25}{5} = 5\] Thus, the correct option is (C).
Sample Question 2
Averages Hard • Quantitative Aptitude Test
A batsman has a batting average of 36 runs in 16 innings. He scores 70 runs in the 17th inning. What is his new batting average?
A 37
B 38
C 39
D 40
โœ“ Correct Answer: B - 38
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
The total runs scored in the first 16 innings: \[16 \times 36 = 576\] Adding the 17th inning score: \[\text{Total Runs} = 576 + 70 = 646\] The new average after 17 innings is: \[\text{New Average} = \frac{646}{17} = 38\] Thus, the correct option is (B).
Sample Question 3
Averages Hard • Quantitative Aptitude Test
A grocer had sales of Rs. 6,435, Rs. 6,927, Rs. 6,855, Rs. 7,230, and Rs. 6,562 for 5 consecutive months. What sale must he achieve in the sixth month to maintain an average sale of Rs. 6,500?
A Rs. 4,800
B Rs. 4,991
C Rs. 5,000
D Rs. 5,120
โœ“ Correct Answer: B - Rs. 4,991
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
The required total sale for 6 months is: \[6 \times 6500 = \text{Rs. } 39000\] The sum of sales for the first 5 months is: \[6435 + 6927 + 6855 + 7230 + 6562 = \text{Rs. } 34009\] Therefore, the sixth month sale must be: \[39000 - 34009 = \text{Rs. } 4991\] Thus, the correct option is (B).
Sample Question 4
Averages Hard • Quantitative Aptitude Test
The average score of a group of 5 people is 42, and the average score of another group of 8 people is 81. What is the combined average score of all 13 people?
A 60
B 65
C 66
D 70
โœ“ Correct Answer: C - 66
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
The total sum of scores is: \[\text{Total} = (5 \times 42) + (8 \times 81) = 210 + 648 = 858\] The combined average for the 13 people is: \[\text{Average} = \frac{858}{13} = 66\] Thus, the correct option is (C).
Sample Question 5
Averages Hard • Quantitative Aptitude Test
The average of three numbers is 77. The first number is twice the second number, and the second number is twice the third number. What is the first number?
A 110
B 120
C 132
D 140
โœ“ Correct Answer: C - 132
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Let the third number be $. Then the second number is $, and the first number is (2x) = 4x$. The average is given by: \[\frac{4x + 2x + x}{3} = 77 \implies \frac{7x}{3} = 77 \implies 7x = 231 \implies x = 33\] Therefore, the first number is: \[4x = 4 \times 33 = 132\] Thus, the correct option is (C).
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