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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 798 · 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 290. What is the largest of them?
  2. 2.One number is 6 times another. Their difference is 50. 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 219. What is the largest of them?
  5. 5.The sum of 4 consecutive numbers is 86. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 69. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 65. What is the largest of them?
  9. 9.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  10. 10.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  11. 11.One number is 2 times another. Their difference is 18. What is the smaller number?
  12. 12.The sum of two numbers is 60 and their difference is 38. What is the larger number?
  13. 13.The sum of two numbers is 62 and their difference is 24. What is the smaller number?
  14. 14.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?
  15. 15.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  18. 18.The sum of two numbers is 123 and their difference is 23. What is the smaller number?
  19. 19.The sum of 4 consecutive even numbers is 196. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  21. 21.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  23. 23.The sum of two numbers is 168 and their difference is 26. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  25. 25.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?
  26. 26.The sum of two numbers is 33 and their difference is 15. What is the larger number?
  27. 27.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  28. 28.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  29. 29.The sum of two numbers is 168 and their difference is 18. What is the larger number?
  30. 30.The sum of two numbers is 104 and their difference is 58. What is the larger number?
  31. 31.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  32. 32.The sum of two numbers is 135 and their difference is 43. What is the larger number?
  33. 33.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  34. 34.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  35. 35.One number is 3 times another. Their difference is 14. What is the smaller number?
  36. 36.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  37. 37.The sum of two numbers is 104 and their difference is 12. What is the smaller number?
  38. 38.The sum of two numbers is 29 and their difference is 19. What is the larger number?
  39. 39.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  40. 40.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?

Answer key

  1. 60
  2. 10
  3. 89
  4. 75
  5. 23
  6. 45
  7. 24
  8. 15
  9. 56
  10. 68
  11. 18
  12. 49
  13. 19
  14. 25
  15. 58
  16. 10
  17. 48
  18. 50
  19. 52
  20. 27
  21. 25
  22. 57
  23. 71
  24. 48
  25. 78
  26. 24
  27. 37
  28. 24
  29. 93
  30. 81
  31. 45
  32. 89
  33. 32
  34. 82
  35. 7
  36. 17
  37. 46
  38. 24
  39. 57
  40. 45

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