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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 821 · 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 odd numbers is 152. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 245. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  4. 4.One number is 3 times another. Their difference is 38. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  6. 6.The sum of two numbers is 34 and their difference is 16. What is the smaller number?
  7. 7.The sum of two numbers is 40 and their difference is 14. What is the smaller number?
  8. 8.The sum of 3 consecutive numbers is 42. What is the largest of them?
  9. 9.The sum of two numbers is 64 and their difference is 18. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  11. 11.One number is 4 times another. Their difference is 57. What is the smaller number?
  12. 12.The sum of two numbers is 167 and their difference is 21. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  15. 15.The sum of two numbers is 19 and their difference is 9. What is the smaller number?
  16. 16.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  17. 17.The sum of 5 consecutive numbers is 135. What is the largest of them?
  18. 18.The sum of 4 consecutive numbers is 210. What is the largest of them?
  19. 19.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  20. 20.One number is 4 times another. Their difference is 87. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  22. 22.One number is 5 times another. Their difference is 112. What is the smaller number?
  23. 23.One number is 4 times another. Their difference is 48. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  25. 25.The sum of two numbers is 38 and their difference is 16. What is the larger number?
  26. 26.The sum of two numbers is 140 and their difference is 10. What is the larger number?
  27. 27.The sum of two numbers is 134 and their difference is 28. What is the larger number?
  28. 28.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  29. 29.One number is 2 times another. Their difference is 33. What is the smaller number?
  30. 30.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?
  31. 31.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  32. 32.One number is 2 times another. Their difference is 28. What is the smaller number?
  33. 33.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?
  34. 34.One number is 2 times another. Their difference is 9. What is the smaller number?
  35. 35.The sum of two numbers is 117 and their difference is 55. What is the larger number?
  36. 36.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  38. 38.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  39. 39.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 60. What is the smallest of them?

Answer key

  1. 41
  2. 51
  3. 43
  4. 19
  5. 8
  6. 9
  7. 13
  8. 15
  9. 23
  10. 52
  11. 19
  12. 73
  13. 20
  14. 49
  15. 5
  16. 18
  17. 29
  18. 54
  19. 29
  20. 29
  21. 68
  22. 28
  23. 16
  24. 14
  25. 27
  26. 75
  27. 81
  28. 40
  29. 33
  30. 67
  31. 73
  32. 28
  33. 89
  34. 9
  35. 86
  36. 7
  37. 36
  38. 38
  39. 66
  40. 10

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