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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 342 · 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 even numbers is 188. What is the smallest of them?
  2. 2.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  3. 3.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of 4 consecutive numbers is 26. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 141. What is the largest of them?
  7. 7.One number is 4 times another. Their difference is 90. What is the smaller number?
  8. 8.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  10. 10.The sum of two numbers is 42 and their difference is 34. What is the larger number?
  11. 11.The sum of two numbers is 37 and their difference is 31. What is the larger number?
  12. 12.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  13. 13.The sum of two numbers is 120 and their difference is 48. What is the larger number?
  14. 14.One number is 6 times another. Their difference is 35. What is the smaller number?
  15. 15.One number is 3 times another. Their difference is 10. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 60. What is the largest of them?
  17. 17.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?
  18. 18.One number is 3 times another. Their difference is 80. What is the smaller number?
  19. 19.The sum of two numbers is 25 and their difference is 13. What is the larger number?
  20. 20.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?
  21. 21.The sum of two numbers is 25 and their difference is 1. What is the smaller number?
  22. 22.One number is 6 times another. Their difference is 45. What is the smaller number?
  23. 23.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  24. 24.The sum of 5 consecutive numbers is 205. 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 45. What is the number?
  26. 26.The sum of 5 consecutive numbers is 100. What is the largest of them?
  27. 27.One number is 6 times another. Their difference is 150. What is the smaller number?
  28. 28.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  29. 29.The sum of two numbers is 38 and their difference is 30. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  31. 31.One number is 6 times another. Their difference is 115. What is the smaller number?
  32. 32.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?
  33. 33.One number is 2 times another. Their difference is 26. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 215. What is the largest of them?
  35. 35.One number is 3 times another. Their difference is 44. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  37. 37.The sum of two numbers is 78 and their difference is 36. What is the smaller number?
  38. 38.The sum of two numbers is 35 and their difference is 1. What is the larger number?
  39. 39.The sum of two numbers is 66 and their difference is 46. What is the smaller number?
  40. 40.The sum of 3 consecutive numbers is 36. What is the largest of them?

Answer key

  1. 44
  2. 63
  3. 39
  4. 17
  5. 8
  6. 48
  7. 30
  8. 68
  9. 52
  10. 38
  11. 34
  12. 78
  13. 84
  14. 7
  15. 5
  16. 14
  17. 79
  18. 40
  19. 19
  20. 78
  21. 12
  22. 9
  23. 34
  24. 43
  25. 49
  26. 22
  27. 30
  28. 28
  29. 4
  30. 27
  31. 23
  32. 29
  33. 26
  34. 45
  35. 22
  36. 73
  37. 21
  38. 18
  39. 10
  40. 13

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