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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 712 · 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 3 consecutive numbers is 153. What is the largest of them?
  2. 2.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?
  3. 3.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  4. 4.The sum of two numbers is 37 and their difference is 5. What is the smaller number?
  5. 5.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  6. 6.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  7. 7.The sum of two numbers is 61 and their difference is 57. What is the smaller number?
  8. 8.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  9. 9.The sum of two numbers is 85 and their difference is 19. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  11. 11.The sum of two numbers is 98 and their difference is 44. What is the smaller number?
  12. 12.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  13. 13.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  15. 15.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  16. 16.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?
  17. 17.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  18. 18.The sum of two numbers is 108 and their difference is 54. What is the larger number?
  19. 19.The sum of two numbers is 35 and their difference is 3. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  21. 21.One number is 3 times another. Their difference is 18. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  23. 23.One number is 6 times another. Their difference is 55. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  26. 26.One number is 5 times another. Their difference is 80. What is the smaller number?
  27. 27.One number is 4 times another. Their difference is 39. What is the smaller number?
  28. 28.The sum of two numbers is 103 and their difference is 87. What is the larger number?
  29. 29.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  30. 30.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  31. 31.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  32. 32.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  33. 33.The sum of two numbers is 63 and their difference is 1. What is the larger number?
  34. 34.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  35. 35.One number is 6 times another. Their difference is 195. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 93. What is the largest of them?
  39. 39.The sum of two numbers is 25 and their difference is 15. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 142. What is the smallest of them?

Answer key

  1. 52
  2. 18
  3. 33
  4. 16
  5. 15
  6. 42
  7. 2
  8. 49
  9. 33
  10. 50
  11. 27
  12. 27
  13. 78
  14. 28
  15. 59
  16. 89
  17. 24
  18. 81
  19. 16
  20. 45
  21. 9
  22. 77
  23. 11
  24. 32
  25. 16
  26. 20
  27. 13
  28. 95
  29. 37
  30. 12
  31. 24
  32. 70
  33. 32
  34. 82
  35. 39
  36. 42
  37. 9
  38. 32
  39. 5
  40. 34

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