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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 59 · 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 5 consecutive numbers is 305. What is the smallest of them?
  2. 2.The sum of two numbers is 91 and their difference is 61. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 78. What is the largest of them?
  4. 4.The sum of two numbers is 115 and their difference is 29. What is the smaller number?
  5. 5.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  6. 6.The sum of two numbers is 19 and their difference is 7. What is the smaller number?
  7. 7.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?
  8. 8.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  9. 9.One number is 3 times another. Their difference is 50. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  11. 11.The sum of 4 consecutive odd numbers is 208. What is the largest of them?
  12. 12.The sum of two numbers is 140 and their difference is 40. What is the larger number?
  13. 13.The sum of 5 consecutive numbers is 100. What is the largest of them?
  14. 14.One number is 2 times another. Their difference is 6. What is the smaller number?
  15. 15.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  16. 16.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  17. 17.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  18. 18.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?
  19. 19.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?
  20. 20.One number is 2 times another. Their difference is 4. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  22. 22.The sum of two numbers is 108 and their difference is 16. What is the larger number?
  23. 23.The sum of 5 consecutive numbers is 70. What is the largest of them?
  24. 24.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?
  25. 25.The sum of two numbers is 69 and their difference is 61. What is the larger number?
  26. 26.The sum of 3 consecutive numbers is 60. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 175. What is the largest of them?
  28. 28.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  29. 29.One number is 6 times another. Their difference is 20. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 66. What is the largest 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 9. What is the number?
  32. 32.The sum of 3 consecutive numbers is 81. What is the largest of them?
  33. 33.The sum of two numbers is 121 and their difference is 45. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  35. 35.One number is 2 times another. Their difference is 14. What is the smaller number?
  36. 36.The sum of two numbers is 52 and their difference is 16. What is the smaller number?
  37. 37.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  38. 38.The sum of two numbers is 53 and their difference is 25. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  40. 40.The sum of two numbers is 131 and their difference is 63. What is the larger number?

Answer key

  1. 59
  2. 15
  3. 27
  4. 43
  5. 67
  6. 6
  7. 29
  8. 24
  9. 25
  10. 46
  11. 55
  12. 90
  13. 22
  14. 6
  15. 78
  16. 60
  17. 61
  18. 89
  19. 78
  20. 4
  21. 13
  22. 62
  23. 16
  24. 69
  25. 65
  26. 21
  27. 37
  28. 60
  29. 4
  30. 23
  31. 45
  32. 28
  33. 38
  34. 65
  35. 14
  36. 18
  37. 56
  38. 14
  39. 55
  40. 97

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