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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 99 · 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 even numbers is 102. What is the smallest of them?
  2. 2.One number is 3 times another. Their difference is 74. What is the smaller number?
  3. 3.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?
  4. 4.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  5. 5.One number is 5 times another. Their difference is 60. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  7. 7.The sum of two numbers is 86 and their difference is 62. What is the larger number?
  8. 8.The sum of 4 consecutive numbers is 102. What is the largest of them?
  9. 9.One number is 6 times another. Their difference is 30. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 40. What is the largest of them?
  11. 11.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  12. 12.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  13. 13.The sum of two numbers is 54 and their difference is 10. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  15. 15.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  16. 16.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  17. 17.The sum of two numbers is 76 and their difference is 62. What is the smaller number?
  18. 18.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  19. 19.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  20. 20.The sum of 3 consecutive numbers is 99. What is the largest of them?
  21. 21.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  22. 22.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  23. 23.One number is 6 times another. Their difference is 85. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 78. What is the largest of them?
  25. 25.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 111. What is the largest of them?
  27. 27.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  28. 28.The sum of two numbers is 40 and their difference is 18. What is the smaller number?
  29. 29.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?
  30. 30.The sum of two numbers is 118 and their difference is 44. What is the smaller number?
  31. 31.The sum of two numbers is 150 and their difference is 12. What is the larger number?
  32. 32.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  33. 33.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  34. 34.The sum of two numbers is 165 and their difference is 29. What is the larger number?
  35. 35.The sum of two numbers is 38 and their difference is 26. What is the smaller number?
  36. 36.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  37. 37.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  38. 38.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  39. 39.One number is 2 times another. Their difference is 20. What is the smaller number?
  40. 40.The sum of two numbers is 96 and their difference is 32. What is the larger number?

Answer key

  1. 32
  2. 37
  3. 24
  4. 50
  5. 15
  6. 28
  7. 74
  8. 27
  9. 6
  10. 10
  11. 71
  12. 38
  13. 22
  14. 77
  15. 28
  16. 29
  17. 7
  18. 80
  19. 36
  20. 34
  21. 53
  22. 19
  23. 17
  24. 27
  25. 15
  26. 38
  27. 54
  28. 11
  29. 79
  30. 37
  31. 81
  32. 39
  33. 55
  34. 97
  35. 6
  36. 48
  37. 23
  38. 27
  39. 20
  40. 64

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