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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 507 · 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 3 consecutive numbers is 153. What is the smallest of them?
  2. 2.The sum of 5 consecutive numbers is 125. What is the largest of them?
  3. 3.One number is 3 times another. Their difference is 58. What is the smaller number?
  4. 4.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  5. 5.The sum of two numbers is 42 and their difference is 36. What is the larger number?
  6. 6.One number is 4 times another. Their difference is 21. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  8. 8.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  9. 9.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?
  10. 10.One number is 4 times another. Their difference is 36. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  12. 12.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  13. 13.The sum of two numbers is 91 and their difference is 67. What is the larger number?
  14. 14.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  16. 16.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  17. 17.The sum of 4 consecutive numbers is 54. What is the largest of them?
  18. 18.The sum of 4 consecutive numbers is 146. What is the largest of them?
  19. 19.One number is 6 times another. Their difference is 195. What is the smaller number?
  20. 20.One number is 4 times another. Their difference is 69. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 105. What is the largest of them?
  22. 22.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?
  23. 23.The sum of 4 consecutive numbers is 138. What is the largest of them?
  24. 24.The sum of two numbers is 94 and their difference is 60. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  26. 26.The sum of two numbers is 47 and their difference is 13. What is the larger number?
  27. 27.The sum of 4 consecutive numbers is 130. What is the largest of them?
  28. 28.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  29. 29.The sum of 5 consecutive numbers is 90. What is the largest of them?
  30. 30.The sum of two numbers is 47 and their difference is 43. What is the smaller number?
  31. 31.The sum of two numbers is 125 and their difference is 45. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  34. 34.The sum of two numbers is 47 and their difference is 3. What is the larger number?
  35. 35.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?
  36. 36.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  37. 37.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  38. 38.The sum of two numbers is 117 and their difference is 55. What is the larger number?
  39. 39.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  40. 40.The sum of two numbers is 34 and their difference is 20. What is the smaller number?

Answer key

  1. 50
  2. 27
  3. 29
  4. 81
  5. 39
  6. 7
  7. 16
  8. 29
  9. 69
  10. 12
  11. 25
  12. 58
  13. 79
  14. 79
  15. 37
  16. 75
  17. 15
  18. 38
  19. 39
  20. 23
  21. 23
  22. 89
  23. 36
  24. 17
  25. 49
  26. 30
  27. 34
  28. 38
  29. 20
  30. 2
  31. 40
  32. 43
  33. 16
  34. 25
  35. 45
  36. 39
  37. 57
  38. 86
  39. 9
  40. 7

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