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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 66 · 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 odd numbers is 99. What is the largest of them?
  2. 2.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  3. 3.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?
  4. 4.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  5. 5.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  6. 6.One number is 5 times another. Their difference is 56. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  8. 8.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  9. 9.One number is 4 times another. Their difference is 66. What is the smaller number?
  10. 10.One number is 4 times another. Their difference is 42. What is the smaller number?
  11. 11.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?
  12. 12.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?
  13. 13.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  14. 14.One number is 4 times another. Their difference is 12. What is the smaller number?
  15. 15.The sum of two numbers is 21 and their difference is 15. What is the smaller number?
  16. 16.One number is 3 times another. Their difference is 58. What is the smaller number?
  17. 17.The sum of two numbers is 79 and their difference is 69. What is the larger number?
  18. 18.One number is 2 times another. Their difference is 31. What is the smaller number?
  19. 19.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?
  20. 20.The sum of two numbers is 86 and their difference is 32. What is the smaller number?
  21. 21.The sum of two numbers is 131 and their difference is 9. What is the larger number?
  22. 22.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?
  23. 23.The sum of two numbers is 36 and their difference is 12. What is the larger number?
  24. 24.One number is 2 times another. Their difference is 12. What is the smaller number?
  25. 25.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  26. 26.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  27. 27.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  28. 28.The sum of 5 consecutive numbers is 40. What is the largest of them?
  29. 29.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?
  30. 30.One number is 2 times another. Their difference is 40. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 24. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  34. 34.One number is 6 times another. Their difference is 190. What is the smaller number?
  35. 35.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?
  36. 36.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  37. 37.The sum of two numbers is 137 and their difference is 15. What is the larger number?
  38. 38.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 285. What is the smallest of them?

Answer key

  1. 35
  2. 24
  3. 89
  4. 58
  5. 54
  6. 14
  7. 28
  8. 59
  9. 22
  10. 14
  11. 35
  12. 49
  13. 51
  14. 4
  15. 3
  16. 29
  17. 74
  18. 31
  19. 37
  20. 27
  21. 70
  22. 79
  23. 24
  24. 12
  25. 59
  26. 13
  27. 15
  28. 10
  29. 69
  30. 40
  31. 24
  32. 41
  33. 52
  34. 38
  35. 25
  36. 64
  37. 76
  38. 19
  39. 20
  40. 55

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