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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 337 · 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 36. What is the smaller number?
  2. 2.One number is 3 times another. Their difference is 66. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  4. 4.The sum of 3 consecutive numbers is 108. What is the largest of them?
  5. 5.The sum of two numbers is 19 and their difference is 17. What is the smaller number?
  6. 6.One number is 6 times another. Their difference is 65. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  8. 8.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  9. 9.The sum of two numbers is 27 and their difference is 1. What is the smaller number?
  10. 10.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  11. 11.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?
  12. 12.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 24. What is the largest of them?
  14. 14.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  15. 15.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  16. 16.The sum of 5 consecutive numbers is 175. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 156. What is the largest of them?
  18. 18.The digits of a two-digit number add up to 3. 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 198. What is the largest of them?
  20. 20.One number is 3 times another. Their difference is 24. What is the smaller number?
  21. 21.One number is 6 times another. Their difference is 180. What is the smaller number?
  22. 22.The sum of two numbers is 36 and their difference is 28. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  24. 24.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?
  25. 25.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  26. 26.The sum of two numbers is 64 and their difference is 32. What is the larger number?
  27. 27.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  28. 28.One number is 6 times another. Their difference is 135. What is the smaller number?
  29. 29.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  30. 30.One number is 2 times another. Their difference is 6. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 29. What is the smaller number?
  32. 32.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?
  33. 33.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 177. What is the largest of them?
  35. 35.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  37. 37.The sum of two numbers is 64 and their difference is 12. What is the larger number?
  38. 38.The sum of two numbers is 88 and their difference is 44. What is the larger number?
  39. 39.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?
  40. 40.The sum of 3 consecutive numbers is 69. What is the smallest of them?

Answer key

  1. 12
  2. 33
  3. 21
  4. 37
  5. 1
  6. 13
  7. 48
  8. 53
  9. 13
  10. 65
  11. 29
  12. 20
  13. 9
  14. 35
  15. 19
  16. 37
  17. 53
  18. 12
  19. 68
  20. 12
  21. 36
  22. 4
  23. 13
  24. 89
  25. 43
  26. 48
  27. 16
  28. 27
  29. 50
  30. 6
  31. 29
  32. 58
  33. 81
  34. 60
  35. 36
  36. 39
  37. 38
  38. 66
  39. 17
  40. 22

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