Math Logic

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๐Ÿ“˜ Comprehensive Syllabus & Examination Guide

Math Logic

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%
13 MCQs
Combined Active Syllabus
Math Logic
13 MCQs
Topic Pool
๐Ÿ“Š Question Pool Structure
13 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 Math Logic, 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 10 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
Math Logic Hard • Intelligence Tests
In order to write counting upto 100, how many times the key of the typewriter will have to be pressed?
A 100
B 192
C 300
D 321
โœ“ Correct Answer: B - 192
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
9 keys (1-9) + 180 keys (10-99) + 3 keys (100) = 192 total key presses.
Sample Question 2
Math Logic Hard • Intelligence Tests
How many figures are required in numbering the pages of a book of 365 pages?
A 987
B 789
C 879
D 873
โœ“ Correct Answer: A - 987
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
9 (1-9) + 180 (10-99) + 798 (100-365) = 987 total digits (figures).
Sample Question 3
Math Logic Hard • Intelligence Tests
867 is the product of two numbers, of which is 3 times the other. What is the sum of the numbers?
A 51
B 48
C 17
D 68
โœ“ Correct Answer: D - 68
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
If xโ‹…3x=867, then x=17 and 3x=51. Sum: 17+51=68.
Sample Question 4
Math Logic Hard • Intelligence Tests
How often does the sum of 81459 and 54306 contain their difference?
A 3 times
B 4 times
C 5 times
D 6 times
โœ“ Correct Answer: C - 5 times
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Find the Sum:
\(81459+54306=135765\)

Find the Difference:
\(81459-54306=27153\)

Divide the Sum by the Difference:
\(135765\div 27153=5\)

Therefore, the sum contains their difference exactly 5 times.
Sample Question 5
Math Logic Hard • Intelligence Tests
If 2 masons build one wall in twelve weeks, how many walls 12 masons in two weeks?
โœ“ Correct Answer: -1
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Applying the work-rate formula (M1D1/W1=M2D2/W2), the result is 1 wall.
Sample Question 6
Math Logic Hard • Intelligence Tests
How should you get exactly 8 litres of milk... one 5-litre and one 2-litre container?
โœ“ Correct Answer: Fill up one 5-litre... [Key Text]
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
The process involves specific iterative measurements using the two containers to reach the target volume.
Sample Question 7
Math Logic Medium • Intelligence Tests
A spider... 15ft up, 7ft down. Net 8ft/min. What height in 15 minutes?
โœ“ Correct Answer: (120 ft.)
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
At a net rate of 8 feet per minute, the spider covers 120 feet in 15 minutes (8ร—15=120).
Sample Question 8
Math Logic Medium • Intelligence Tests
Reservoir filling at 5/hr, leaking at 2/hr. How long to fill 60 cubic meters?
โœ“ Correct Answer: (20 hrs.)
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Net filling rate is 3 cubic meters per hour (5โˆ’2=3). 60/3=20 hours.
Sample Question 9
Math Logic Hard • Intelligence Tests
Stranger figure: 1, 3, 8, 27, 81, 243, 729
A 243
B 27
C 8
D 27
โœ“ Correct Answer: C - 8
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
The series consists of powers of 3 (30,31,32=9...); 8 is not a power of 3.
Sample Question 10
Math Logic Hard • Intelligence Tests
Which of the following is necessarily true?
A Road I is 1 mile north of Road L
B Road D is 2 miles west of Road B
C Road E and Road B intersect
D Road M is 1 ยฝ miles north of Road L
โœ“ Correct Answer: D - Road M is 1 ยฝ miles north of Road L
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Derived from the provided distances: K is 1 mile south of M and ยฝ mile north of L.
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