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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 199 · 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 5 consecutive numbers is 85. What is the largest of them?
  2. 2.The sum of two numbers is 41 and their difference is 29. What is the smaller number?
  3. 3.The sum of two numbers is 47 and their difference is 31. What is the smaller number?
  4. 4.One number is 3 times another. Their difference is 32. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  6. 6.The sum of two numbers is 80 and their difference is 74. What is the larger number?
  7. 7.The sum of two numbers is 41 and their difference is 5. What is the larger number?
  8. 8.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  9. 9.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?
  10. 10.One number is 3 times another. Their difference is 58. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  12. 12.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  13. 13.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  14. 14.One number is 2 times another. Their difference is 3. What is the smaller number?
  15. 15.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?
  16. 16.One number is 5 times another. Their difference is 132. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 27. What is the largest of them?
  18. 18.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?
  19. 19.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  20. 20.The sum of two numbers is 76 and their difference is 26. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  22. 22.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  23. 23.One number is 3 times another. Their difference is 14. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 160. What is the largest of them?
  25. 25.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  26. 26.The sum of two numbers is 73 and their difference is 57. What is the larger number?
  27. 27.The sum of two numbers is 72 and their difference is 20. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  29. 29.The sum of two numbers is 107 and their difference is 17. What is the smaller number?
  30. 30.The sum of two numbers is 100 and their difference is 74. What is the larger number?
  31. 31.The sum of 3 consecutive even numbers is 228. What is the largest of them?
  32. 32.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 54. What is the largest of them?
  34. 34.One number is 6 times another. Their difference is 35. What is the smaller number?
  35. 35.The sum of two numbers is 118 and their difference is 54. What is the smaller number?
  36. 36.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  37. 37.One number is 5 times another. Their difference is 20. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  39. 39.One number is 3 times another. Their difference is 54. What is the smaller number?
  40. 40.The sum of two numbers is 191 and their difference is 1. What is the smaller number?

Answer key

  1. 19
  2. 6
  3. 8
  4. 16
  5. 53
  6. 77
  7. 23
  8. 53
  9. 29
  10. 29
  11. 48
  12. 20
  13. 58
  14. 3
  15. 38
  16. 33
  17. 10
  18. 89
  19. 52
  20. 25
  21. 43
  22. 81
  23. 7
  24. 34
  25. 71
  26. 65
  27. 26
  28. 42
  29. 45
  30. 87
  31. 78
  32. 77
  33. 15
  34. 7
  35. 32
  36. 17
  37. 5
  38. 45
  39. 27
  40. 95

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