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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 165 · 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 4 times another. Their difference is 69. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  5. 5.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?
  6. 6.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?
  7. 7.The sum of 4 consecutive numbers is 134. What is the smallest of them?
  8. 8.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 66. What is the largest of them?
  10. 10.The sum of two numbers is 39 and their difference is 15. What is the larger number?
  11. 11.The sum of two numbers is 89 and their difference is 81. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 144. What is the largest of them?
  13. 13.The sum of two numbers is 163 and their difference is 9. What is the larger number?
  14. 14.The sum of two numbers is 121 and their difference is 57. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  16. 16.One number is 2 times another. Their difference is 17. What is the smaller number?
  17. 17.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 54. What is the largest of them?
  19. 19.One number is 4 times another. Their difference is 105. What is the smaller number?
  20. 20.The sum of two numbers is 90 and their difference is 52. What is the larger number?
  21. 21.One number is 4 times another. Their difference is 51. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 75. What is the largest of them?
  24. 24.The sum of two numbers is 73 and their difference is 35. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  27. 27.The sum of two numbers is 52 and their difference is 24. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 98. What is the largest of them?
  29. 29.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  30. 30.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  31. 31.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  32. 32.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?
  33. 33.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?
  34. 34.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  35. 35.The sum of two numbers is 109 and their difference is 5. What is the larger 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 3 consecutive numbers is 111. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 84. What is the largest of them?
  39. 39.The sum of two numbers is 33 and their difference is 29. What is the smaller number?
  40. 40.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?

Answer key

  1. 23
  2. 43
  3. 50
  4. 15
  5. 35
  6. 79
  7. 32
  8. 24
  9. 18
  10. 27
  11. 4
  12. 49
  13. 86
  14. 32
  15. 29
  16. 17
  17. 80
  18. 15
  19. 35
  20. 71
  21. 17
  22. 56
  23. 26
  24. 19
  25. 58
  26. 80
  27. 14
  28. 26
  29. 35
  30. 67
  31. 26
  32. 89
  33. 49
  34. 15
  35. 57
  36. 34
  37. 36
  38. 29
  39. 2
  40. 59

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