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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 772 · 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.One number is 3 times another. Their difference is 50. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 36. What is the largest of them?
  4. 4.The sum of 5 consecutive numbers is 40. What is the largest of them?
  5. 5.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  6. 6.The sum of two numbers is 16 and their difference is 6. What is the smaller number?
  7. 7.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  8. 8.One number is 6 times another. Their difference is 25. What is the smaller number?
  9. 9.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?
  10. 10.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?
  11. 11.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  12. 12.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  13. 13.The sum of two numbers is 61 and their difference is 9. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  15. 15.One number is 3 times another. Their difference is 58. What is the smaller number?
  16. 16.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?
  17. 17.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  18. 18.The sum of two numbers is 191 and their difference is 3. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 125. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  21. 21.The sum of 3 consecutive numbers is 135. What is the largest of them?
  22. 22.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  23. 23.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  24. 24.The sum of two numbers is 74 and their difference is 62. What is the smaller number?
  25. 25.One number is 6 times another. Their difference is 30. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  27. 27.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  28. 28.One number is 6 times another. Their difference is 125. What is the smaller number?
  29. 29.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  30. 30.The sum of two numbers is 96 and their difference is 20. What is the larger number?
  31. 31.The sum of two numbers is 68 and their difference is 38. What is the larger number?
  32. 32.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  33. 33.The sum of two numbers is 52 and their difference is 44. What is the smaller number?
  34. 34.One number is 6 times another. Their difference is 40. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  36. 36.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  37. 37.One number is 6 times another. Their difference is 105. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  39. 39.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 23. What is the smaller number?

Answer key

  1. 25
  2. 60
  3. 13
  4. 10
  5. 63
  6. 5
  7. 40
  8. 5
  9. 28
  10. 69
  11. 72
  12. 35
  13. 26
  14. 58
  15. 29
  16. 89
  17. 57
  18. 94
  19. 27
  20. 9
  21. 46
  22. 12
  23. 52
  24. 6
  25. 6
  26. 81
  27. 36
  28. 25
  29. 28
  30. 58
  31. 53
  32. 15
  33. 4
  34. 8
  35. 26
  36. 38
  37. 21
  38. 43
  39. 24
  40. 23

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