50 Math & Logic Puzzles Quiz Questions and Answers
This page lists 50 real questions from the Quizlino Math & Logic Puzzles Quiz category, each with four options, the correct answer and, where available, a short explanation. They are arranged from easy to hard, so you can start at the level that suits you. The full category contains 200 questions spread across its levels, so what you see here is a sample to study from, not the whole quiz.
- Cover the answer line, read the question and decide on your option first.
- Check the answer, then read the explanation even if you were right.
- Make a note of the questions you missed and come back to them after a few days.
- When you feel ready, play the timed Math & Logic Puzzles Quiz to test yourself properly.
Math & Logic Puzzles: Easy Questions
Warm-up questions that most players can answer.
Q1. What is 15 + 27?
Answer: B. 42
Explanation: 15 + 27 equals 42.
Q2. What is 9 x 8?
Answer: A. 72
Explanation: 9 multiplied by 8 equals 72.
Q3. What comes next in the sequence: 2, 4, 6, 8, ___?
Answer: B. 10
Explanation: This is a sequence of even numbers increasing by 2, so the next number is 10.
Q4. What is half of 100?
Answer: C. 50
Explanation: Half of 100 is 50.
Q5. How many sides does a hexagon have?
Answer: B. 6
Explanation: A hexagon is a polygon with 6 sides.
Q6. What is the square root of 81?
Answer: C. 9
Explanation: The square root of 81 is 9, since 9 x 9 = 81.
Q7. If a triangle has two angles of 60° each, what is the third angle?
Answer: B. 60°
Explanation: A triangle's angles sum to 180°, so 180 - 60 - 60 = 60°.
Q8. What is 100 divided by 4?
Answer: B. 25
Explanation: 100 divided by 4 equals 25.
Q9. Which number is neither a prime number nor a composite number?
Answer: B. 1
Explanation: The number 1 is unique — it is neither prime nor composite.
Q10. What is 7 squared (7²)?
Answer: C. 49
Explanation: 7 squared means 7 x 7, which equals 49.
Q11. What is 25 x 4?
Answer: B. 100
Explanation: 25 multiplied by 4 equals 100.
Q12. What comes next in the sequence: 5, 10, 15, 20, ___?
Answer: C. 25
Explanation: This sequence increases by 5 each time, so the next number is 25.
Q13. What is one third of 90?
Answer: C. 30
Explanation: One third of 90 is calculated as 90 divided by 3, which equals 30.
Q14. How many sides does a pentagon have?
Answer: B. 5
Explanation: A pentagon is a polygon with 5 sides.
Q15. What is 144 divided by 12?
Answer: C. 12
Explanation: 144 divided by 12 equals 12.
Math & Logic Puzzles: Medium Questions
A step up in difficulty, for players who know the basics.
Q16. If a dozen eggs cost ₹60, how much do 3 eggs cost?
Answer: B. ₹15
Explanation: A dozen (12) eggs cost ₹60, so one egg costs ₹5, making 3 eggs cost ₹15.
Q17. What is the next number in the sequence 1, 1, 2, 3, 5, 8, ___?
Answer: C. 13
Explanation: This is the Fibonacci sequence, where each number is the sum of the two before it: 5+8=13.
Q18. A train travels 60 km in 1.5 hours. What is its speed in km/h?
Answer: C. 40 km/h
Explanation: Speed = distance ÷ time = 60 ÷ 1.5 = 40 km/h.
Q19. What is the sum of the first 10 natural numbers (1 to 10)?
Answer: C. 55
Explanation: The sum of numbers 1 through 10 is 55, using the formula n(n+1)/2.
Q20. If x + 5 = 12, what is the value of x?
Answer: C. 7
Explanation: Subtracting 5 from both sides of the equation gives x = 7.
Q21. What is the sum of the interior angles of any triangle?
Answer: B. 180°
Explanation: The interior angles of any triangle always add up to 180°.
Q22. What is the value of pi (π) rounded to two decimal places?
Answer: B. 3.14
Explanation: Pi (π) is approximately equal to 3.14.
Q23. If today is Monday, what day will it be after 10 days?
Answer: B. Thursday
Explanation: 10 days from Monday lands on Thursday (10 mod 7 = 3 days ahead).
Q24. What is 20% of 250?
Answer: C. 50
Explanation: 20% of 250 is calculated as (20/100) x 250 = 50.
Q25. A rectangle has a length of 10 cm and width of 4 cm. What is its area?
Answer: C. 40 cm²
Explanation: Area of a rectangle = length x width = 10 x 4 = 40 cm².
Q26. If 3x = 15, what is the value of x?
Answer: C. 5
Explanation: Dividing both sides by 3 gives x = 5.
Q27. A shop offers a 25% discount on an item priced at $80. What is the discounted price?
Answer: B. $60
Explanation: A 25% discount on $80 is $20 off, making the final price $60.
Q28. What comes next in the sequence: 2, 6, 18, 54, ___?
Answer: C. 162
Explanation: Each number is multiplied by 3, so 54 x 3 = 162.
Q29. A rectangle has a perimeter of 30 cm and a length of 9 cm. What is its width?
Answer: B. 6 cm
Explanation: Perimeter = 2(length + width), so 30 = 2(9 + width), giving width = 6 cm.
Q30. How many minutes are there in 3.5 hours?
Answer: C. 210
Explanation: 3.5 hours x 60 minutes = 210 minutes.
Math & Logic Puzzles: Hard Questions
Challenging questions for confident players.
Q31. Three friends split a restaurant bill of ₹450 equally. How much does each pay?
Answer: C. ₹150
Explanation: ₹450 divided equally among 3 friends is ₹150 each.
Q32. What is the missing number in the sequence: 3, 6, 11, 18, 27, ___? (differences increase by 2 each time)
Answer: C. 38
Explanation: The differences are 3, 5, 7, 9, 11 — so 27 + 11 = 38.
Q33. At exactly 3:15 on a clock, what is the angle between the hour and minute hands?
Answer: B. 7.5°
Explanation: At 3:15, the hour hand has moved slightly past 3, creating a 7.5° gap from the minute hand at 15.
Q34. A man is currently twice as old as his son. In 20 years, he will be 1.5 times as old as his son. What is the son's current age?
Answer: C. 20 years
Explanation: Solving the equations 2x+20 = 1.5(x+20) gives the son's current age as 20 years.
Q35. What is the sum of the interior angles of a hexagon?
Answer: C. 720°
Explanation: A hexagon's interior angles sum to (6-2) x 180° = 720°.
Q36. A ladder leans against a wall forming a right triangle with the ground. If the base is 6 m and the height is 8 m, what is the length of the ladder?
Answer: C. 10 m
Explanation: Using the Pythagorean theorem, the hypotenuse is sqrt(6² + 8²) = sqrt(100) = 10 m.
Q37. What comes next in the sequence: 100, 50, 25, 12.5, ___?
Answer: B. 6.25
Explanation: Each number is halved, so 12.5 / 2 = 6.25.
Q38. If two dice are rolled together, how many total possible outcomes are there?
Answer: C. 36
Explanation: Each die has 6 faces, so two dice give 6 x 6 = 36 possible outcomes.
Q39. A number is doubled and then 6 is added to give 26. What is the original number?
Answer: C. 10
Explanation: Working backwards: (26 - 6) / 2 = 10.
Q40. What is the sum of the interior angles of an octagon?
Answer: C. 1080°
Explanation: An octagon's interior angles sum to (8-2) x 180° = 1080°.
Math & Logic Puzzles: Expert Questions
The toughest questions in the category, for true fans of the subject.
Q41. What is the sum of the interior angles of a 12-sided polygon?
Answer: B. 1800°
Explanation: (12 − 2) × 180° = 1800°.
Q42. What is each exterior angle of a regular decagon?
Answer: D. 36°
Explanation: Exterior angles add to 360°: 360 ÷ 10 = 36°.
Q43. How many diagonals does a decagon have?
Answer: C. 35
Explanation: n(n − 3) ÷ 2 = 10 × 7 ÷ 2 = 35.
Q44. What is 3 to the power of 5 (3⁵)?
Answer: A. 243
Explanation: 3 × 3 × 3 × 3 × 3 = 243.
Q45. What is 2⁰ + 2¹ + 2² + … + 2⁹?
Answer: D. 1023
Explanation: The sum equals 2¹⁰ − 1 = 1023.
Q46. What is the sum of the first 50 natural numbers?
Answer: B. 1275
Explanation: 50 × 51 ÷ 2 = 1275.
Q47. What is the sum of the squares 1² + 2² + … + 10²?
Answer: A. 385
Explanation: n(n + 1)(2n + 1) ÷ 6 = 10 × 11 × 21 ÷ 6 = 385.
Q48. What is 1³ + 2³ + 3³ + 4³ + 5³?
Answer: C. 225
Explanation: The sum of cubes is (1 + 2 + … + 5)² = 15² = 225.
Q49. How many zeros are at the end of 100! (100 factorial)?
Answer: B. 24
Explanation: 100 ÷ 5 = 20 and 100 ÷ 25 = 4, giving 24.
Q50. What is the HCF (GCD) of 84 and 126?
Answer: D. 42
Explanation: 84 = 2 × 42 and 126 = 3 × 42.
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