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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 44 · 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 165. What is the smallest of them?
  2. 2.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 75. What is the largest of them?
  4. 4.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  5. 5.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  6. 6.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  7. 7.The sum of two numbers is 37 and their difference is 3. What is the larger number?
  8. 8.The sum of two numbers is 150 and their difference is 26. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  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 two numbers is 60 and their difference is 2. What is the larger number?
  12. 12.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?
  13. 13.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  14. 14.The sum of two numbers is 135 and their difference is 21. What is the larger number?
  15. 15.One number is 3 times another. Their difference is 24. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  17. 17.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  18. 18.The sum of 3 consecutive numbers is 63. What is the largest of them?
  19. 19.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  20. 20.The sum of two numbers is 143 and their difference is 3. What is the smaller number?
  21. 21.The sum of two numbers is 112 and their difference is 4. What is the smaller number?
  22. 22.One number is 2 times another. Their difference is 28. What is the smaller number?
  23. 23.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  24. 24.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  25. 25.One number is 3 times another. Their difference is 74. What is the smaller number?
  26. 26.The sum of 4 consecutive even numbers is 132. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  28. 28.The sum of 4 consecutive numbers is 150. What is the largest of them?
  29. 29.One number is 3 times another. Their difference is 18. What is the smaller number?
  30. 30.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?
  31. 31.The sum of two numbers is 72 and their difference is 48. What is the larger number?
  32. 32.The sum of two numbers is 21 and their difference is 7. What is the larger number?
  33. 33.One number is 6 times another. Their difference is 110. What is the smaller number?
  34. 34.One number is 6 times another. Their difference is 140. What is the smaller number?
  35. 35.One number is 4 times another. Their difference is 36. What is the smaller number?
  36. 36.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  37. 37.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  38. 38.One number is 6 times another. Their difference is 50. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  40. 40.The sum of two numbers is 41 and their difference is 33. What is the smaller number?

Answer key

  1. 54
  2. 56
  3. 26
  4. 58
  5. 27
  6. 34
  7. 20
  8. 62
  9. 31
  10. 69
  11. 31
  12. 68
  13. 16
  14. 78
  15. 12
  16. 29
  17. 15
  18. 22
  19. 39
  20. 70
  21. 54
  22. 28
  23. 85
  24. 32
  25. 37
  26. 36
  27. 40
  28. 39
  29. 9
  30. 49
  31. 60
  32. 14
  33. 22
  34. 28
  35. 12
  36. 34
  37. 54
  38. 10
  39. 27
  40. 4

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