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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 374 · 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 147. What is the largest of them?
  2. 2.One number is 6 times another. Their difference is 50. What is the smaller number?
  3. 3.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  4. 4.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  5. 5.The sum of two numbers is 105 and their difference is 27. What is the smaller number?
  6. 6.One number is 6 times another. Their difference is 85. What is the smaller number?
  7. 7.One number is 5 times another. Their difference is 128. What is the smaller number?
  8. 8.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  9. 9.One number is 5 times another. Their difference is 52. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 150. What is the largest of them?
  11. 11.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?
  12. 12.The sum of 3 consecutive numbers is 117. What is the largest of them?
  13. 13.The sum of two numbers is 40 and their difference is 8. What is the larger number?
  14. 14.One number is 2 times another. Their difference is 21. What is the smaller number?
  15. 15.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  16. 16.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  17. 17.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  18. 18.The sum of two numbers is 24 and their difference is 4. What is the smaller number?
  19. 19.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?
  20. 20.The sum of two numbers is 19 and their difference is 1. What is the smaller number?
  21. 21.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?
  22. 22.The sum of two numbers is 112 and their difference is 30. What is the larger number?
  23. 23.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?
  24. 24.The sum of two numbers is 72 and their difference is 8. What is the larger number?
  25. 25.The sum of 4 consecutive numbers is 130. What is the largest of them?
  26. 26.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  27. 27.The sum of two numbers is 51 and their difference is 7. What is the smaller number?
  28. 28.One number is 6 times another. Their difference is 190. What is the smaller number?
  29. 29.The sum of two numbers is 37 and their difference is 7. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 126. What is the largest of them?
  31. 31.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?
  32. 32.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  34. 34.The sum of two numbers is 62 and their difference is 4. What is the larger number?
  35. 35.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?
  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.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  38. 38.One number is 3 times another. Their difference is 78. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  40. 40.The sum of two numbers is 16 and their difference is 10. What is the larger number?

Answer key

  1. 50
  2. 10
  3. 78
  4. 6
  5. 39
  6. 17
  7. 32
  8. 38
  9. 13
  10. 39
  11. 58
  12. 40
  13. 24
  14. 21
  15. 57
  16. 20
  17. 13
  18. 10
  19. 34
  20. 9
  21. 38
  22. 71
  23. 89
  24. 40
  25. 34
  26. 78
  27. 22
  28. 38
  29. 15
  30. 43
  31. 68
  32. 35
  33. 13
  34. 33
  35. 48
  36. 17
  37. 55
  38. 39
  39. 14
  40. 13

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