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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 274 · 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.The sum of two numbers is 90 and their difference is 30. What is the larger number?
  2. 2.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?
  3. 3.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?
  4. 4.The sum of two numbers is 42 and their difference is 40. What is the smaller number?
  5. 5.The sum of two numbers is 102 and their difference is 18. What is the larger number?
  6. 6.The sum of two numbers is 31 and their difference is 17. What is the smaller number?
  7. 7.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  9. 9.The sum of 3 consecutive even numbers is 108. What is the largest of them?
  10. 10.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  11. 11.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  12. 12.The sum of 3 consecutive numbers is 147. What is the largest of them?
  13. 13.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 160. What is the largest of them?
  15. 15.The sum of two numbers is 117 and their difference is 1. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  17. 17.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  18. 18.The sum of two numbers is 58 and their difference is 10. What is the smaller number?
  19. 19.The sum of two numbers is 39 and their difference is 15. What is the larger number?
  20. 20.One number is 6 times another. Their difference is 145. What is the smaller number?
  21. 21.One number is 3 times another. Their difference is 48. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  24. 24.The sum of two numbers is 16 and their difference is 6. What is the larger number?
  25. 25.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  26. 26.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  27. 27.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  28. 28.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  29. 29.One number is 3 times another. Their difference is 60. What is the smaller number?
  30. 30.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  31. 31.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  33. 33.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  34. 34.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  35. 35.The sum of 5 consecutive numbers is 285. What is the largest of them?
  36. 36.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  37. 37.The sum of two numbers is 37 and their difference is 13. What is the larger number?
  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.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 74. What is the smallest of them?

Answer key

  1. 60
  2. 89
  3. 57
  4. 1
  5. 60
  6. 7
  7. 10
  8. 30
  9. 38
  10. 52
  11. 21
  12. 50
  13. 59
  14. 34
  15. 58
  16. 51
  17. 49
  18. 24
  19. 27
  20. 29
  21. 24
  22. 59
  23. 17
  24. 11
  25. 25
  26. 33
  27. 46
  28. 28
  29. 30
  30. 56
  31. 37
  32. 20
  33. 17
  34. 37
  35. 59
  36. 48
  37. 25
  38. 34
  39. 22
  40. 17

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