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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 420 · 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 sum of 4 consecutive even numbers is 92. What is the largest of them?
  2. 2.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?
  3. 3.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  4. 4.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  5. 5.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  6. 6.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  7. 7.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  8. 8.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  9. 9.The sum of 5 consecutive numbers is 105. What is the largest of them?
  10. 10.One number is 2 times another. Their difference is 5. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  12. 12.One number is 2 times another. Their difference is 28. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  14. 14.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  15. 15.The sum of two numbers is 52 and their difference is 46. What is the larger number?
  16. 16.The sum of 3 consecutive numbers is 51. What is the largest of them?
  17. 17.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?
  18. 18.One number is 2 times another. Their difference is 13. What is the smaller number?
  19. 19.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  21. 21.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  22. 22.The sum of 5 consecutive numbers is 120. What is the largest of them?
  23. 23.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  25. 25.The sum of two numbers is 97 and their difference is 51. What is the larger number?
  26. 26.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  27. 27.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
  28. 28.The sum of 3 consecutive numbers is 84. What is the largest of them?
  29. 29.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  31. 31.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?
  32. 32.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?
  33. 33.The sum of two numbers is 64 and their difference is 46. What is the larger number?
  34. 34.The sum of two numbers is 75 and their difference is 69. What is the larger number?
  35. 35.The sum of two numbers is 154 and their difference is 12. What is the smaller number?
  36. 36.The sum of two numbers is 119 and their difference is 63. What is the larger number?
  37. 37.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  38. 38.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?
  39. 39.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?
  40. 40.One number is 6 times another. Their difference is 160. What is the smaller number?

Answer key

  1. 26
  2. 79
  3. 39
  4. 31
  5. 71
  6. 25
  7. 60
  8. 78
  9. 23
  10. 5
  11. 24
  12. 28
  13. 34
  14. 55
  15. 49
  16. 18
  17. 25
  18. 13
  19. 65
  20. 44
  21. 22
  22. 26
  23. 11
  24. 34
  25. 74
  26. 32
  27. 34
  28. 29
  29. 70
  30. 33
  31. 18
  32. 89
  33. 55
  34. 72
  35. 71
  36. 91
  37. 8
  38. 35
  39. 57
  40. 32

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