Can you solve this in 10 seconds? Phir puzzle series
Eight medium difficulty multiple-choice puzzles based on number patterns and reasoning. Fast thinking and pattern recognition required.
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Quiz Questions & Answers
Review every prompt, the correct responses, and helpful context to prep for your own run-through.
Question 1: Find the next number: 2, 6, 12, 20, 30, ?
36
42
44
40
Question 2: Which rule best describes 2, 6, 12, 20, 30?
Terms are n(n+1) products
Multiply previous by increasing integers
Add successive even primes
Fibonacci-like sum rule
Question 3: If term k = k(k+1), what is the 10th term?
90
100
120
110
Question 4: Which mindset helps fastest on puzzles like these?
Look for algebraic formulas
Always try random guesses
Ignore numeric differences
Assume primes only
Question 5: Which quick check verifies n(n+1) when given a term 56?
Solve n^2 + n − 56 = 0
Check if 56 is prime
See if digits sum to 11
Test divisibility by 3 only
Question 6: A student assumes the rule is triangular numbers. How to check quickly?
See if differences are all equal
Verify divisibility by 10
Check if all are primes
Compare terms to n(n+1)/2
Question 7: Why does recognizing formula forms scale to harder puzzles?
It always yields prime numbers
It forces memorization of sequences
It eliminates need for algebra
It reduces trials by using algebraic structure
Question 8: What quick mental check distinguishes quadratic from linear sequences?
Test if every term is even
See if digits alternate
Look at second differences
Count number of primes in list