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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 834 · 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).

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  1. 1.One number is 4 times another. Their difference is 39. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  3. 3.One number is 2 times another. Their difference is 14. What is the smaller number?
  4. 4.One number is 3 times another. Their difference is 10. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  6. 6.The sum of two numbers is 118 and their difference is 34. What is the smaller number?
  7. 7.One number is 4 times another. Their difference is 51. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  9. 9.One number is 2 times another. Their difference is 8. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  11. 11.The sum of two numbers is 27 and their difference is 25. What is the larger number?
  12. 12.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  14. 14.The sum of two numbers is 41 and their difference is 25. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  16. 16.One number is 2 times another. Their difference is 34. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 215. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 310. What is the smallest of them?
  19. 19.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?
  20. 20.The sum of 3 consecutive even numbers is 108. What is the largest of them?
  21. 21.The sum of two numbers is 122 and their difference is 72. What is the larger number?
  22. 22.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  23. 23.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?
  24. 24.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  25. 25.The sum of two numbers is 52 and their difference is 44. What is the larger number?
  26. 26.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  27. 27.The sum of 5 consecutive numbers is 120. What is the largest of them?
  28. 28.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  29. 29.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?
  30. 30.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  31. 31.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  32. 32.One number is 5 times another. Their difference is 152. What is the smaller number?
  33. 33.One number is 2 times another. Their difference is 36. 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 4 consecutive numbers is 58. What is the smallest of them?
  36. 36.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?
  37. 37.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  38. 38.The sum of two numbers is 68 and their difference is 62. What is the smaller number?
  39. 39.The sum of two numbers is 86 and their difference is 36. What is the smaller number?
  40. 40.One number is 5 times another. Their difference is 112. What is the smaller number?

Answer key

  1. 13
  2. 8
  3. 14
  4. 5
  5. 46
  6. 42
  7. 17
  8. 75
  9. 8
  10. 28
  11. 26
  12. 38
  13. 25
  14. 8
  15. 10
  16. 34
  17. 45
  18. 60
  19. 89
  20. 38
  21. 97
  22. 14
  23. 26
  24. 32
  25. 48
  26. 62
  27. 26
  28. 34
  29. 29
  30. 16
  31. 73
  32. 38
  33. 36
  34. 48
  35. 13
  36. 45
  37. 61
  38. 3
  39. 25
  40. 28

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