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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 350 · 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 3 consecutive numbers is 141. What is the largest of them?
  2. 2.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 166. What is the largest of them?
  4. 4.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  5. 5.The sum of two numbers is 152 and their difference is 8. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 24. What is the largest of them?
  8. 8.The sum of two numbers is 82 and their difference is 40. What is the smaller number?
  9. 9.The sum of two numbers is 63 and their difference is 21. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
  11. 11.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  12. 12.One number is 5 times another. Their difference is 80. What is the smaller number?
  13. 13.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  14. 14.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  15. 15.One number is 5 times another. Their difference is 12. What is the smaller number?
  16. 16.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  17. 17.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  18. 18.The sum of two numbers is 70 and their difference is 8. What is the smaller number?
  19. 19.One number is 2 times another. Their difference is 39. What is the smaller number?
  20. 20.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  21. 21.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  22. 22.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  23. 23.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  25. 25.The sum of two numbers is 165 and their difference is 17. What is the larger number?
  26. 26.The sum of 3 consecutive numbers is 183. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  28. 28.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?
  29. 29.The sum of two numbers is 127 and their difference is 41. What is the larger number?
  30. 30.One number is 2 times another. Their difference is 11. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 46. What is the largest of them?
  32. 32.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  33. 33.The sum of two numbers is 75 and their difference is 15. What is the larger number?
  34. 34.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  35. 35.One number is 2 times another. Their difference is 26. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 202. What is the largest of them?
  38. 38.One number is 5 times another. Their difference is 144. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 51. What is the largest of them?
  40. 40.The sum of 5 consecutive numbers is 120. What is the smallest of them?

Answer key

  1. 48
  2. 33
  3. 43
  4. 9
  5. 72
  6. 29
  7. 9
  8. 21
  9. 21
  10. 62
  11. 19
  12. 20
  13. 68
  14. 25
  15. 3
  16. 21
  17. 16
  18. 31
  19. 39
  20. 22
  21. 35
  22. 39
  23. 45
  24. 48
  25. 91
  26. 62
  27. 5
  28. 17
  29. 84
  30. 11
  31. 13
  32. 9
  33. 45
  34. 13
  35. 26
  36. 36
  37. 52
  38. 36
  39. 18
  40. 22

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