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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 380 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 4 consecutive numbers is 138. What is the largest of them?
  2. 2.The sum of 4 consecutive numbers is 86. What is the largest of them?
  3. 3.One number is 5 times another. Their difference is 124. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  5. 5.One number is 5 times another. Their difference is 20. What is the smaller number?
  6. 6.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?
  7. 7.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 93. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 105. What is the largest of them?
  10. 10.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  11. 11.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  12. 12.One number is 3 times another. Their difference is 10. What is the smaller number?
  13. 13.One number is 4 times another. Their difference is 42. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  16. 16.The sum of two numbers is 97 and their difference is 33. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  18. 18.One number is 4 times another. Their difference is 63. What is the smaller number?
  19. 19.The sum of two numbers is 108 and their difference is 90. What is the smaller number?
  20. 20.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
  21. 21.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  22. 22.One number is 6 times another. Their difference is 150. What is the smaller number?
  23. 23.The sum of two numbers is 96 and their difference is 70. What is the smaller number?
  24. 24.One number is 6 times another. Their difference is 50. What is the smaller number?
  25. 25.One number is 3 times another. Their difference is 62. What is the smaller number?
  26. 26.One number is 5 times another. Their difference is 36. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 174. What is the largest of them?
  28. 28.The sum of two numbers is 118 and their difference is 14. What is the larger number?
  29. 29.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  30. 30.The sum of two numbers is 35 and their difference is 25. What is the larger number?
  31. 31.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  36. 36.The sum of two numbers is 146 and their difference is 10. What is the larger number?
  37. 37.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  38. 38.The sum of two numbers is 64 and their difference is 44. What is the smaller number?
  39. 39.The sum of two numbers is 46 and their difference is 8. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 200. What is the largest of them?

Answer key

  1. 36
  2. 23
  3. 31
  4. 59
  5. 5
  6. 48
  7. 61
  8. 32
  9. 36
  10. 25
  11. 71
  12. 5
  13. 14
  14. 68
  15. 46
  16. 32
  17. 56
  18. 21
  19. 9
  20. 39
  21. 54
  22. 30
  23. 13
  24. 10
  25. 31
  26. 9
  27. 59
  28. 66
  29. 47
  30. 30
  31. 11
  32. 33
  33. 27
  34. 14
  35. 44
  36. 78
  37. 28
  38. 10
  39. 19
  40. 42

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