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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 315 · 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 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?
  2. 2.One number is 4 times another. Their difference is 117. What is the smaller number?
  3. 3.The sum of two numbers is 73 and their difference is 41. What is the larger number?
  4. 4.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?
  5. 5.The sum of two numbers is 31 and their difference is 5. What is the smaller number?
  6. 6.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?
  7. 7.The sum of 4 consecutive numbers is 178. What is the largest of them?
  8. 8.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 42. What is the largest of them?
  10. 10.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  11. 11.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?
  12. 12.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  13. 13.The sum of two numbers is 148 and their difference is 38. What is the larger number?
  14. 14.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  17. 17.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  18. 18.The sum of two numbers is 93 and their difference is 27. What is the smaller number?
  19. 19.One number is 6 times another. Their difference is 125. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  21. 21.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  22. 22.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?
  23. 23.The sum of two numbers is 99 and their difference is 73. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  25. 25.One number is 3 times another. Their difference is 38. What is the smaller number?
  26. 26.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  27. 27.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  28. 28.One number is 2 times another. Their difference is 9. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  30. 30.The sum of two numbers is 35 and their difference is 9. What is the larger number?
  31. 31.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  32. 32.One number is 6 times another. Their difference is 55. What is the smaller number?
  33. 33.One number is 6 times another. Their difference is 95. What is the smaller number?
  34. 34.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?
  35. 35.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  36. 36.One number is 3 times another. Their difference is 32. What is the smaller number?
  37. 37.The sum of two numbers is 54 and their difference is 16. What is the smaller number?
  38. 38.One number is 3 times another. Their difference is 18. What is the smaller number?
  39. 39.One number is 4 times another. Their difference is 72. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 186. What is the smallest of them?

Answer key

  1. 68
  2. 39
  3. 57
  4. 89
  5. 13
  6. 29
  7. 46
  8. 7
  9. 15
  10. 17
  11. 79
  12. 71
  13. 93
  14. 41
  15. 16
  16. 6
  17. 69
  18. 33
  19. 25
  20. 79
  21. 46
  22. 45
  23. 13
  24. 48
  25. 19
  26. 31
  27. 51
  28. 9
  29. 69
  30. 22
  31. 5
  32. 11
  33. 19
  34. 48
  35. 26
  36. 16
  37. 19
  38. 9
  39. 24
  40. 45

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