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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 309 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

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  1. 1.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  3. 3.One number is 4 times another. Their difference is 75. What is the smaller number?
  4. 4.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  5. 5.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  7. 7.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  8. 8.The sum of two numbers is 35 and their difference is 19. What is the smaller number?
  9. 9.The sum of two numbers is 56 and their difference is 2. What is the larger number?
  10. 10.The sum of 3 consecutive numbers is 21. What is the largest of them?
  11. 11.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  12. 12.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  13. 13.The sum of two numbers is 34 and their difference is 8. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 57. What is the largest of them?
  15. 15.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  16. 16.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  17. 17.One number is 5 times another. Their difference is 16. What is the smaller number?
  18. 18.One number is 2 times another. Their difference is 24. What is the smaller number?
  19. 19.The sum of two numbers is 80 and their difference is 46. What is the larger number?
  20. 20.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  21. 21.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  22. 22.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  23. 23.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  24. 24.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  25. 25.The sum of two numbers is 27 and their difference is 15. What is the smaller number?
  26. 26.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  27. 27.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  28. 28.The sum of two numbers is 115 and their difference is 75. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  30. 30.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  31. 31.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  32. 32.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  33. 33.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  35. 35.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.The sum of two numbers is 71 and their difference is 33. What is the larger number?
  37. 37.The sum of two numbers is 60 and their difference is 38. What is the larger number?
  38. 38.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  39. 39.The sum of two numbers is 22 and their difference is 6. What is the smaller number?
  40. 40.The sum of two numbers is 34 and their difference is 18. What is the smaller number?

Answer key

  1. 12
  2. 71
  3. 25
  4. 68
  5. 78
  6. 29
  7. 77
  8. 8
  9. 29
  10. 8
  11. 31
  12. 69
  13. 13
  14. 20
  15. 79
  16. 49
  17. 4
  18. 24
  19. 63
  20. 48
  21. 78
  22. 27
  23. 20
  24. 9
  25. 6
  26. 38
  27. 24
  28. 20
  29. 53
  30. 89
  31. 34
  32. 12
  33. 10
  34. 45
  35. 35
  36. 52
  37. 49
  38. 35
  39. 8
  40. 8

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