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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 541 · 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 5 consecutive numbers is 95. What is the smallest of them?
  2. 2.One number is 5 times another. Their difference is 112. What is the smaller number?
  3. 3.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?
  4. 4.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  5. 5.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  6. 6.The sum of two numbers is 82 and their difference is 42. What is the larger number?
  7. 7.One number is 5 times another. Their difference is 160. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  9. 9.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  11. 11.The sum of two numbers is 61 and their difference is 29. What is the smaller number?
  12. 12.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  13. 13.One number is 3 times another. Their difference is 16. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  15. 15.One number is 2 times another. Their difference is 10. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 82. What is the largest of them?
  19. 19.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 36. What is the largest of them?
  21. 21.One number is 5 times another. Their difference is 68. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  23. 23.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  24. 24.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  25. 25.One number is 3 times another. Their difference is 30. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  27. 27.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  28. 28.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  29. 29.The sum of two numbers is 134 and their difference is 44. What is the larger number?
  30. 30.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?
  31. 31.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 111. What is the largest of them?
  33. 33.One number is 2 times another. Their difference is 3. What is the smaller number?
  34. 34.The sum of two numbers is 119 and their difference is 69. What is the larger number?
  35. 35.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  36. 36.The sum of 5 consecutive numbers is 100. What is the largest of them?
  37. 37.One number is 4 times another. Their difference is 69. What is the smaller number?
  38. 38.One number is 5 times another. Their difference is 152. What is the smaller number?
  39. 39.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?
  40. 40.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?

Answer key

  1. 17
  2. 28
  3. 89
  4. 23
  5. 18
  6. 62
  7. 40
  8. 57
  9. 57
  10. 23
  11. 16
  12. 19
  13. 8
  14. 16
  15. 10
  16. 33
  17. 58
  18. 22
  19. 59
  20. 13
  21. 17
  22. 37
  23. 29
  24. 16
  25. 15
  26. 5
  27. 34
  28. 22
  29. 89
  30. 28
  31. 42
  32. 38
  33. 3
  34. 94
  35. 23
  36. 22
  37. 23
  38. 38
  39. 79
  40. 79

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