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%
6 MCQs
Combined Active Syllabus
Math Logic
6 MCQs
Topic Pool
๐Ÿ“Š Question Pool Structure
6 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.

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 6 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
If I go 15 miles to the west... and if I go three miles to the east, I will be 17 miles from my house...
A 14 miles east
B 14 miles west
C 20 miles west
D 20 miles west
โœ“ Correct Answer: C - 20 miles west
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
If a traveler is at 20 miles west and moves 3 miles east, they arrive at 17 miles from the start point.
Sample Question 2
Math Logic Hard • Intelligence Tests
Four masons can build one sixth of a wall in 3 days. How much... by six masons in 6 days?
A 46082
B 46083
C 46054
D 46115
โœ“ Correct Answer: C - 46054
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Work rate calculation (M1โ€‹D1โ€‹/W1โ€‹=M2โ€‹D2โ€‹/W2โ€‹) shows 36 man-days completes half the wall.
Sample Question 3
Math Logic Hard • Intelligence Tests
A boy had twice as many sums right as wrong. If he had 24 sums in all, how many... right?
A 8
B 6
C 12
D 16
โœ“ Correct Answer: D - 16
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Let W be wrong; 2W+W=24โŸน3W=24โŸนW=8; Right = 16.
Sample Question 4
Math Logic Hard • Intelligence Tests
Two men X and Y... X goes 4 miles west, Y goes 1 mile east... Y turns back and walks 4 miles...
A 4 miles
B 7 miles
C 3 miles
D 13 miles
โœ“ Correct Answer: C - 3 miles
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Calculation shows both end up at a point 3 miles West of the origin (Note: typo in question or key).
Sample Question 5
Math Logic Hard • Intelligence Tests
A man travels one mile turns right... travels another mile, turns left...
A 9 miles
B 4 miles
C 3 miles
D 5 miles
โœ“ Correct Answer: D - 5 miles
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
This question is a classic direction and distance aptitude puzzle that relies on the Pythagorean theorem (\(a^2 + b^2 = c^2\)) to find the direct straight-line distance (displacement) from the starting point:

Horizontal Distance (\(a\)): The total distance traveled sideways combines to 3 miles.
Vertical Distance (\(b\)): The total distance traveled up or down combines to 4 miles.
Direct Distance (\(c\)): By calculating \(\sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25}\), we get exactly 5 miles.
Sample Question 6
Math Logic Hard • Intelligence Tests
Forty is to sixty as 2x is to โ€”โ€”
A 4x
B 2x
C 6x
D 3x
โœ“ Correct Answer: D - 3x
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
The ratio of 40 to 60 is 2:3; the same ratio applied to 2x yields 3x.
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