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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 327 · 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 208. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  3. 3.One number is 6 times another. Their difference is 25. What is the smaller number?
  4. 4.One number is 5 times another. Their difference is 152. What is the smaller number?
  5. 5.The sum of two numbers is 108 and their difference is 16. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 54. What is the largest of them?
  7. 7.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  11. 11.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?
  12. 12.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  13. 13.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  14. 14.The sum of 4 consecutive numbers is 178. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 106. What is the largest of them?
  16. 16.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  17. 17.One number is 3 times another. Their difference is 26. What is the smaller number?
  18. 18.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?
  19. 19.The sum of two numbers is 49 and their difference is 21. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  21. 21.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?
  22. 22.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?
  23. 23.One number is 5 times another. Their difference is 132. What is the smaller number?
  24. 24.One number is 5 times another. Their difference is 60. What is the smaller number?
  25. 25.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  27. 27.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  28. 28.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?
  29. 29.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  30. 30.The sum of 3 consecutive numbers is 84. What is the largest of them?
  31. 31.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?
  32. 32.The sum of 5 consecutive numbers is 145. What is the largest of them?
  33. 33.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  34. 34.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  35. 35.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  36. 36.The sum of 3 consecutive numbers is 87. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  38. 38.The sum of two numbers is 54 and their difference is 52. What is the larger number?
  39. 39.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  40. 40.The sum of two numbers is 138 and their difference is 50. What is the larger number?

Answer key

  1. 55
  2. 41
  3. 5
  4. 38
  5. 46
  6. 19
  7. 86
  8. 39
  9. 17
  10. 49
  11. 89
  12. 25
  13. 82
  14. 46
  15. 28
  16. 39
  17. 13
  18. 57
  19. 14
  20. 51
  21. 27
  22. 48
  23. 33
  24. 15
  25. 64
  26. 5
  27. 79
  28. 56
  29. 18
  30. 29
  31. 79
  32. 31
  33. 59
  34. 69
  35. 57
  36. 30
  37. 41
  38. 53
  39. 19
  40. 94

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