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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 701 · 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 5 times another. Their difference is 48. What is the smaller number?
  2. 2.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?
  3. 3.The sum of two numbers is 102 and their difference is 72. What is the smaller number?
  4. 4.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  5. 5.One number is 3 times another. Their difference is 54. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 111. What is the largest of them?
  9. 9.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  11. 11.The digits of a two-digit number add up to 8. 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 45. What is the smallest of them?
  13. 13.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  14. 14.One number is 5 times another. Their difference is 140. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  16. 16.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  17. 17.The sum of 5 consecutive numbers is 310. What is the largest of them?
  18. 18.The sum of two numbers is 145 and their difference is 43. What is the smaller number?
  19. 19.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  20. 20.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  21. 21.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  22. 22.The sum of two numbers is 85 and their difference is 37. What is the smaller number?
  23. 23.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  24. 24.The sum of two numbers is 26 and their difference is 16. What is the larger number?
  25. 25.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?
  26. 26.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  27. 27.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?
  28. 28.One number is 4 times another. Their difference is 21. What is the smaller number?
  29. 29.The sum of two numbers is 85 and their difference is 5. What is the smaller number?
  30. 30.One number is 5 times another. Their difference is 116. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 22. What is the smaller number?
  32. 32.One number is 2 times another. Their difference is 6. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  34. 34.One number is 2 times another. Their difference is 35. What is the smaller number?
  35. 35.One number is 5 times another. Their difference is 88. What is the smaller number?
  36. 36.One number is 6 times another. Their difference is 155. What is the smaller number?
  37. 37.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  38. 38.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?
  39. 39.One number is 3 times another. Their difference is 14. What is the smaller number?
  40. 40.The sum of 3 consecutive numbers is 72. What is the smallest of them?

Answer key

  1. 12
  2. 69
  3. 15
  4. 77
  5. 27
  6. 10
  7. 17
  8. 38
  9. 22
  10. 71
  11. 35
  12. 13
  13. 57
  14. 35
  15. 12
  16. 36
  17. 64
  18. 51
  19. 33
  20. 56
  21. 35
  22. 24
  23. 18
  24. 21
  25. 89
  26. 26
  27. 79
  28. 7
  29. 40
  30. 29
  31. 22
  32. 6
  33. 48
  34. 35
  35. 22
  36. 31
  37. 10
  38. 34
  39. 7
  40. 23

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