Hard Mathematical Brain Teasers for Sharp Thinkers

Dive into a set of tough arithmetic puzzles designed to stretch your problem‑solving abilities and reward logical insight.

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Difficulty:HARD

Quiz Details

Questions8
CategoryRiddles & Brain Teasers
DifficultyHARD
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Quiz Questions

Answer all questions below and test your knowledge.

  1. 1

    What positive integer becomes 30 greater when increased by its double?

    Question 1
  2. 2

    If you multiply a number by 4 and then subtract 7, you obtain the same result as adding 5 to twice the original number. What is the number?

    Question 2
  3. 3

    A farmer counts 30 heads and 80 legs among his cows and chickens. How many cows are present?

    Question 3
  4. 4

    The sequence 2, 6, 12, 20, … follows which formula for its nth term?

    Question 4
  5. 5

    Find the smallest positive integer that leaves remainder 1 when divided by 2, remainder 2 when divided by 3, and remainder 3 when divided by 4.

    Question 5
  6. 6

    A rectangular garden is twice as long as it is wide and its perimeter is 60 meters. What is the area?

    Question 6
  7. 7

    The sum of three consecutive odd integers is 99. What is the largest of these integers?

    Question 7
  8. 8

    In a code, 7→100, 8→101, 9→110, 10→111. How is 11 coded?

    Question 8

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