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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 557 · 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 18. What is the largest of them?
  2. 2.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  3. 3.The sum of two numbers is 163 and their difference is 23. What is the smaller number?
  4. 4.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?
  5. 5.The sum of two numbers is 132 and their difference is 46. What is the smaller number?
  6. 6.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  7. 7.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?
  8. 8.The sum of 4 consecutive even numbers is 260. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  10. 10.The sum of two numbers is 130 and their difference is 28. What is the larger number?
  11. 11.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 246. What is the largest of them?
  13. 13.The sum of two numbers is 85 and their difference is 19. What is the smaller number?
  14. 14.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?
  15. 15.The sum of 3 consecutive numbers is 57. What is the largest of them?
  16. 16.The sum of 4 consecutive numbers is 78. What is the largest of them?
  17. 17.The sum of two numbers is 63 and their difference is 17. What is the smaller number?
  18. 18.The sum of two numbers is 29 and their difference is 15. What is the larger number?
  19. 19.The sum of two numbers is 64 and their difference is 22. What is the larger number?
  20. 20.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  21. 21.One number is 3 times another. Their difference is 16. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  23. 23.One number is 2 times another. Their difference is 15. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  25. 25.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  26. 26.The sum of 5 consecutive numbers is 240. What is the largest of them?
  27. 27.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  28. 28.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  29. 29.One number is 5 times another. Their difference is 60. What is the smaller number?
  30. 30.One number is 5 times another. Their difference is 88. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 37. What is the smaller number?
  32. 32.The sum of two numbers is 137 and their difference is 45. What is the smaller number?
  33. 33.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  35. 35.The sum of two numbers is 121 and their difference is 63. What is the larger number?
  36. 36.The sum of 4 consecutive numbers is 210. What is the largest of them?
  37. 37.The sum of two numbers is 41 and their difference is 3. What is the larger number?
  38. 38.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  39. 39.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?
  40. 40.The sum of 3 consecutive odd numbers is 45. What is the largest of them?

Answer key

  1. 7
  2. 65
  3. 70
  4. 24
  5. 43
  6. 84
  7. 39
  8. 68
  9. 39
  10. 79
  11. 46
  12. 63
  13. 33
  14. 89
  15. 20
  16. 21
  17. 23
  18. 22
  19. 43
  20. 28
  21. 8
  22. 83
  23. 15
  24. 25
  25. 54
  26. 50
  27. 11
  28. 42
  29. 15
  30. 22
  31. 37
  32. 46
  33. 34
  34. 23
  35. 92
  36. 54
  37. 22
  38. 42
  39. 69
  40. 17

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