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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 340 · 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 290. What is the largest of them?
  2. 2.The sum of 3 consecutive numbers is 159. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 34. What is the largest of them?
  4. 4.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  5. 5.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  6. 6.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 186. What is the largest of them?
  8. 8.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  12. 12.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  13. 13.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  14. 14.One number is 5 times another. Their difference is 48. What is the smaller number?
  15. 15.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  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 3 consecutive numbers is 45. What is the largest of them?
  18. 18.One number is 4 times another. Their difference is 96. What is the smaller number?
  19. 19.One number is 5 times another. Their difference is 136. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  21. 21.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  22. 22.The sum of 5 consecutive numbers is 85. What is the largest of them?
  23. 23.One number is 5 times another. Their difference is 140. What is the smaller number?
  24. 24.One number is 6 times another. Their difference is 140. What is the smaller number?
  25. 25.The sum of two numbers is 50 and their difference is 30. What is the larger number?
  26. 26.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?
  27. 27.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?
  28. 28.One number is 4 times another. Their difference is 90. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 90. What is the largest of them?
  30. 30.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  31. 31.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  32. 32.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?
  33. 33.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  34. 34.One number is 3 times another. Their difference is 16. What is the smaller number?
  35. 35.One number is 2 times another. Their difference is 5. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  38. 38.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  39. 39.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  40. 40.The sum of 3 consecutive even numbers is 132. What is the smallest of them?

Answer key

  1. 60
  2. 54
  3. 10
  4. 38
  5. 14
  6. 5
  7. 48
  8. 39
  9. 36
  10. 28
  11. 19
  12. 56
  13. 6
  14. 12
  15. 73
  16. 89
  17. 16
  18. 32
  19. 34
  20. 30
  21. 51
  22. 19
  23. 35
  24. 28
  25. 40
  26. 78
  27. 18
  28. 30
  29. 31
  30. 15
  31. 31
  32. 57
  33. 70
  34. 8
  35. 5
  36. 60
  37. 18
  38. 68
  39. 44
  40. 42

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