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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 119 · 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 two numbers is 23 and their difference is 17. What is the larger number?
  2. 2.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  3. 3.The sum of two numbers is 86 and their difference is 20. What is the smaller number?
  4. 4.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?
  5. 5.The sum of two numbers is 73 and their difference is 9. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  7. 7.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  8. 8.One number is 4 times another. Their difference is 63. What is the smaller number?
  9. 9.The sum of two numbers is 124 and their difference is 38. What is the larger number?
  10. 10.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  11. 11.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  12. 12.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  13. 13.The sum of two numbers is 97 and their difference is 33. What is the smaller number?
  14. 14.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  15. 15.The sum of 4 consecutive numbers is 186. What is the smallest of them?
  16. 16.The sum of two numbers is 59 and their difference is 1. What is the larger number?
  17. 17.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  18. 18.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  20. 20.The sum of two numbers is 29 and their difference is 19. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 117. What is the largest of them?
  22. 22.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  23. 23.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  24. 24.The sum of two numbers is 72 and their difference is 66. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  28. 28.The sum of two numbers is 140 and their difference is 38. What is the smaller number?
  29. 29.The sum of two numbers is 75 and their difference is 7. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 94. What is the smallest of them?
  31. 31.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  32. 32.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?
  33. 33.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  35. 35.One number is 3 times another. Their difference is 42. What is the smaller number?
  36. 36.The sum of two numbers is 113 and their difference is 9. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  38. 38.The sum of two numbers is 96 and their difference is 66. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 48. What is the largest of them?

Answer key

  1. 20
  2. 45
  3. 33
  4. 89
  5. 32
  6. 59
  7. 61
  8. 21
  9. 81
  10. 12
  11. 25
  12. 26
  13. 32
  14. 57
  15. 45
  16. 30
  17. 37
  18. 7
  19. 14
  20. 5
  21. 40
  22. 9
  23. 17
  24. 3
  25. 58
  26. 68
  27. 20
  28. 51
  29. 34
  30. 22
  31. 52
  32. 17
  33. 13
  34. 10
  35. 21
  36. 52
  37. 38
  38. 15
  39. 33
  40. 17

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