Numerical Logic Problems
Numerical logic problems combine numbers with logical reasoning. You might see number sequences, "find the rule" questions, or problems where you must deduce a relationship. Here's how to approach them.
Types of Problems
Number sequences – Find the next number: 2, 4, 8, 16, ? (Answer: 32, each × 2). Look for: arithmetic (+/− constant), geometric (×/÷ constant), or more complex patterns (e.g. add previous two: Fibonacci).
Missing number in a grid – A 3×3 or similar grid with one cell blank. The numbers might follow a row rule, column rule, or diagonal rule.
"If A then B" with numbers – e.g. "If revenue increases 10%, and costs stay flat, profit changes by how much?" Apply the logic: profit = revenue − costs. New profit = 1.1×revenue − costs. Change depends on the original values.
Code or cipher – Numbers represent letters or operations. Decode the pattern first.
Strategy
Identify the pattern – For sequences, look at differences (4−2=2, 8−4=4, 16−8=8 → differences double) or ratios (4÷2=2, 8÷4=2, 16÷8=2 → each × 2).
Test simple rules first – +/− constant, ×/÷ constant. Then try: sum of digits, alternating rules, or two interleaved sequences.
Write down intermediate steps – For multi-step logic, note each step.
Use the options – If it's multiple choice, plug the options back in to see which fits the pattern.
Common Patterns
- Arithmetic – Add or subtract a fixed number each time.
- Geometric – Multiply or divide by a fixed number.
- Recursive – Each term depends on previous terms (e.g. Fibonacci).
- Position-based – The nth term = f(n), e.g. n², 2n+1.
- Two sequences – Odd positions follow one rule, even positions another.
Pitfalls
- Assuming too quickly – The first few terms might fit multiple patterns. Check at least 3–4 terms before concluding.
- Overcomplicating – Start simple. Many test questions use basic arithmetic or geometric progressions.
- Ignoring context – In business-style questions, ensure your logic matches the scenario.
Practice with numerical reasoning questions and the numerical reasoning test.
Frequently Asked Questions
What if I can't find the pattern?
Try differences between consecutive terms, then differences of those differences. For grids, check rows, columns, and diagonals. If stuck, eliminate wrong options.
Are there negative numbers or fractions?
Yes, sometimes. Sequences can decrease or alternate. Don't assume all numbers are positive integers.
How do I handle "find the rule" questions?
Express the relationship in words or as a formula. Then apply to find the missing value.