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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 40 · 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 two numbers is 139 and their difference is 33. What is the smaller number?
  2. 2.The sum of two numbers is 42 and their difference is 28. 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 4 consecutive odd numbers is 248. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 69. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 78. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 165. What is the largest of them?
  8. 8.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  9. 9.One number is 3 times another. Their difference is 64. What is the smaller number?
  10. 10.The sum of two numbers is 136 and their difference is 50. What is the smaller number?
  11. 11.The sum of two numbers is 98 and their difference is 2. What is the smaller number?
  12. 12.One number is 3 times another. Their difference is 62. What is the smaller number?
  13. 13.The sum of two numbers is 84 and their difference is 64. What is the larger number?
  14. 14.The sum of two numbers is 35 and their difference is 1. What is the larger number?
  15. 15.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  16. 16.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?
  17. 17.The sum of 5 consecutive numbers is 210. What is the largest of them?
  18. 18.The sum of 3 consecutive numbers is 114. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  20. 20.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?
  21. 21.The sum of two numbers is 51 and their difference is 37. What is the smaller number?
  22. 22.The sum of two numbers is 50 and their difference is 22. What is the smaller number?
  23. 23.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  24. 24.The sum of 3 consecutive odd numbers is 57. What is the largest of them?
  25. 25.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  26. 26.The sum of two numbers is 20 and their difference is 2. What is the larger number?
  27. 27.One number is 5 times another. Their difference is 136. What is the smaller number?
  28. 28.One number is 3 times another. Their difference is 36. What is the smaller number?
  29. 29.One number is 2 times another. Their difference is 23. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  31. 31.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  33. 33.The sum of two numbers is 43 and their difference is 29. What is the smaller number?
  34. 34.The sum of two numbers is 136 and their difference is 24. What is the smaller number?
  35. 35.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  36. 36.The sum of 4 consecutive numbers is 102. What is the largest of them?
  37. 37.The sum of two numbers is 110 and their difference is 6. What is the smaller number?
  38. 38.One number is 6 times another. Their difference is 150. What is the smaller number?
  39. 39.The sum of two numbers is 66 and their difference is 26. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?

Answer key

  1. 53
  2. 7
  3. 89
  4. 59
  5. 24
  6. 27
  7. 56
  8. 30
  9. 32
  10. 43
  11. 48
  12. 31
  13. 74
  14. 18
  15. 12
  16. 78
  17. 44
  18. 39
  19. 24
  20. 25
  21. 7
  22. 14
  23. 71
  24. 21
  25. 58
  26. 11
  27. 34
  28. 18
  29. 23
  30. 10
  31. 62
  32. 58
  33. 7
  34. 56
  35. 44
  36. 27
  37. 52
  38. 30
  39. 20
  40. 7

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