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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 397 · 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 odd numbers is 57. What is the largest of them?
  2. 2.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  3. 3.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  4. 4.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  5. 5.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  6. 6.One number is 2 times another. Their difference is 36. What is the smaller number?
  7. 7.The sum of two numbers is 160 and their difference is 14. What is the larger number?
  8. 8.The sum of 3 consecutive numbers is 150. What is the largest of them?
  9. 9.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  10. 10.The sum of 4 consecutive numbers is 134. What is the smallest of them?
  11. 11.One number is 6 times another. Their difference is 85. What is the smaller number?
  12. 12.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?
  13. 13.One number is 6 times another. Their difference is 60. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 36. What is the largest of them?
  16. 16.The sum of 5 consecutive numbers is 145. What is the largest of them?
  17. 17.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  18. 18.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  19. 19.One number is 4 times another. Their difference is 66. What is the smaller number?
  20. 20.The sum of 5 consecutive numbers is 265. What is the largest of them?
  21. 21.One number is 5 times another. Their difference is 136. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  24. 24.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  25. 25.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  26. 26.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  27. 27.One number is 3 times another. Their difference is 44. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 74. What is the largest of them?
  29. 29.The sum of two numbers is 54 and their difference is 48. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  31. 31.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  32. 32.One number is 5 times another. Their difference is 80. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 165. What is the largest of them?
  35. 35.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?
  36. 36.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  37. 37.The sum of two numbers is 149 and their difference is 45. What is the larger number?
  38. 38.One number is 4 times another. Their difference is 120. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 62. What is the largest of them?
  40. 40.One number is 3 times another. Their difference is 66. What is the smaller number?

Answer key

  1. 21
  2. 71
  3. 25
  4. 67
  5. 46
  6. 36
  7. 87
  8. 51
  9. 52
  10. 32
  11. 17
  12. 89
  13. 12
  14. 34
  15. 13
  16. 31
  17. 49
  18. 77
  19. 22
  20. 55
  21. 34
  22. 45
  23. 10
  24. 78
  25. 60
  26. 38
  27. 22
  28. 20
  29. 3
  30. 23
  31. 44
  32. 20
  33. 29
  34. 56
  35. 16
  36. 40
  37. 97
  38. 40
  39. 17
  40. 33

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