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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 190 · 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 numbers is 70. What is the smallest of them?
  2. 2.One number is 5 times another. Their difference is 76. 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 two numbers is 36 and their difference is 18. What is the smaller number?
  5. 5.The sum of 5 consecutive numbers is 215. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 280. What is the largest of them?
  7. 7.The sum of 4 consecutive numbers is 178. What is the largest of them?
  8. 8.The sum of two numbers is 138 and their difference is 14. What is the larger number?
  9. 9.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  10. 10.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  11. 11.One number is 3 times another. Their difference is 10. What is the smaller number?
  12. 12.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  13. 13.One number is 4 times another. Their difference is 21. What is the smaller number?
  14. 14.The sum of two numbers is 85 and their difference is 3. What is the larger number?
  15. 15.The sum of 4 consecutive numbers is 146. What is the largest of them?
  16. 16.The sum of two numbers is 123 and their difference is 21. What is the larger number?
  17. 17.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  18. 18.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  20. 20.The sum of two numbers is 136 and their difference is 10. What is the smaller number?
  21. 21.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  22. 22.One number is 6 times another. Their difference is 75. What is the smaller number?
  23. 23.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.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?
  25. 25.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  26. 26.The sum of two numbers is 86 and their difference is 52. What is the smaller number?
  27. 27.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?
  28. 28.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  29. 29.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  30. 30.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  31. 31.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?
  32. 32.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  33. 33.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  34. 34.The sum of two numbers is 75 and their difference is 51. What is the larger number?
  35. 35.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  36. 36.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  37. 37.The sum of two numbers is 105 and their difference is 37. What is the larger number?
  38. 38.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  39. 39.The sum of two numbers is 89 and their difference is 49. What is the larger number?
  40. 40.The sum of 4 consecutive even numbers is 204. What is the largest of them?

Answer key

  1. 16
  2. 19
  3. 89
  4. 9
  5. 45
  6. 58
  7. 46
  8. 76
  9. 47
  10. 43
  11. 5
  12. 53
  13. 7
  14. 44
  15. 38
  16. 72
  17. 17
  18. 13
  19. 31
  20. 63
  21. 29
  22. 15
  23. 57
  24. 28
  25. 24
  26. 17
  27. 58
  28. 64
  29. 6
  30. 69
  31. 17
  32. 29
  33. 14
  34. 63
  35. 82
  36. 11
  37. 71
  38. 22
  39. 69
  40. 54

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