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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 429 · 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 89 and their difference is 49. What is the larger number?
  2. 2.One number is 4 times another. Their difference is 21. What is the smaller number?
  3. 3.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  4. 4.The sum of two numbers is 70 and their difference is 12. What is the smaller number?
  5. 5.The sum of two numbers is 33 and their difference is 19. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 162. What is the largest of them?
  7. 7.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  8. 8.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 46. What is the largest of them?
  10. 10.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  11. 11.The sum of two numbers is 54 and their difference is 36. What is the smaller number?
  12. 12.One number is 4 times another. Their difference is 63. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 105. What is the largest of them?
  14. 14.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  15. 15.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  16. 16.One number is 5 times another. Their difference is 120. What is the smaller number?
  17. 17.The sum of two numbers is 93 and their difference is 73. What is the smaller number?
  18. 18.One number is 5 times another. Their difference is 40. What is the smaller number?
  19. 19.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  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.One number is 5 times another. Their difference is 152. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  23. 23.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?
  24. 24.The sum of two numbers is 38 and their difference is 34. What is the smaller number?
  25. 25.One number is 4 times another. Their difference is 72. What is the smaller number?
  26. 26.One number is 3 times another. Their difference is 12. What is the smaller number?
  27. 27.The sum of two numbers is 16 and their difference is 8. What is the larger number?
  28. 28.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  29. 29.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  30. 30.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  31. 31.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  32. 32.One number is 5 times another. Their difference is 20. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  34. 34.The sum of two numbers is 95 and their difference is 69. What is the smaller number?
  35. 35.One number is 2 times another. Their difference is 15. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  37. 37.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  38. 38.One number is 6 times another. Their difference is 170. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  40. 40.The sum of two numbers is 100 and their difference is 78. What is the larger number?

Answer key

  1. 69
  2. 7
  3. 75
  4. 29
  5. 7
  6. 55
  7. 57
  8. 79
  9. 13
  10. 6
  11. 9
  12. 21
  13. 23
  14. 26
  15. 20
  16. 30
  17. 10
  18. 10
  19. 59
  20. 78
  21. 38
  22. 5
  23. 89
  24. 2
  25. 24
  26. 6
  27. 12
  28. 51
  29. 39
  30. 74
  31. 39
  32. 5
  33. 31
  34. 13
  35. 15
  36. 49
  37. 46
  38. 34
  39. 57
  40. 89

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