Reasoning Formula Sheet

Formulas and rules for logical reasoning questions

Category: REASONING

Select Formula Category

Formula Collection

Clock & Calendar

Clock Angle

📐
θ = |30H - 5.5M| degrees

Time to coincide

📐
65⁵/₁₁ minutes gap for coincidence

Day of week

📐
(Date + Month code + Year code + Century code) mod 7

Permutations & Combinations

Permutation

📐
ⁿPᵣ = n!/(n-r)!

Combination

📐
ⁿCᵣ = n!/[r!(n-r)!]

Circular Permutation

📐
(n-1)! for distinct objects

Quick Shortcuts & Tips

⚡

Calendar: 0=Sunday, 1=Monday, ..., 6=Saturday

⚡

Clock: Every 65⁵/₁₁ minutes, hands coincide

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Directions: Use coordinate system for complex puzzles

How to Use This Formula Sheet

1

Learn, Don't Memorize

Understand the derivation and application of each formula. Knowing why a formula works is more important than memorizing it.

2

Practice Application

Immediately after learning a formula, solve 5-10 problems using it. This reinforces learning and builds problem-solving skills.

3

Create Your Own Sheet

Copy formulas you frequently forget onto a physical sheet. The act of writing helps memory retention.

4

Regular Revision

Review formulas weekly. Use spaced repetition: next day, after 3 days, after 1 week, then monthly.

Common Formula Mistakes to Avoid

Unit Confusion

Always check units before applying formulas. Convert all measurements to consistent units (all in meters or all in centimeters).

Formula Misapplication

Ensure you're using the right formula for the given problem type. Don't force a formula that doesn't fit the situation.

Sign Errors

Pay attention to positive/negative signs, especially in physics and coordinate geometry formulas.

Approximation Errors

When using π = 22/7 or √2 = 1.414, be consistent. Don't mix exact and approximate values in the same calculation.

Practice with Formulas