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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 364 · 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.One number is 2 times another. Their difference is 18. What is the smaller number?
  2. 2.One number is 2 times another. Their difference is 27. What is the smaller number?
  3. 3.One number is 5 times another. Their difference is 160. What is the smaller number?
  4. 4.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  5. 5.One number is 5 times another. Their difference is 20. What is the smaller number?
  6. 6.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?
  7. 7.The sum of two numbers is 55 and their difference is 49. What is the larger number?
  8. 8.One number is 6 times another. Their difference is 125. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 246. What is the largest of them?
  10. 10.One number is 4 times another. Their difference is 45. What is the smaller number?
  11. 11.One number is 3 times another. Their difference is 76. What is the smaller number?
  12. 12.The sum of two numbers is 58 and their difference is 28. What is the smaller number?
  13. 13.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  14. 14.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  15. 15.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  17. 17.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  18. 18.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  19. 19.One number is 4 times another. Their difference is 90. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  21. 21.The sum of 4 consecutive even numbers is 268. What is the smallest of them?
  22. 22.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?
  23. 23.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  24. 24.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  25. 25.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  26. 26.The sum of two numbers is 85 and their difference is 61. What is the larger number?
  27. 27.The sum of two numbers is 69 and their difference is 5. What is the larger number?
  28. 28.The sum of 5 consecutive numbers is 200. What is the largest of them?
  29. 29.One number is 3 times another. Their difference is 18. What is the smaller number?
  30. 30.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  31. 31.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?
  32. 32.One number is 6 times another. Their difference is 100. What is the smaller number?
  33. 33.One number is 6 times another. Their difference is 85. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 145. What is the smallest of them?
  35. 35.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?
  36. 36.The sum of two numbers is 126 and their difference is 42. What is the larger number?
  37. 37.The sum of 5 consecutive numbers is 270. What is the largest of them?
  38. 38.One number is 3 times another. Their difference is 26. What is the smaller number?
  39. 39.The sum of two numbers is 39 and their difference is 27. What is the larger number?
  40. 40.The sum of two numbers is 176 and their difference is 14. What is the larger number?

Answer key

  1. 18
  2. 27
  3. 40
  4. 63
  5. 5
  6. 35
  7. 52
  8. 25
  9. 63
  10. 15
  11. 38
  12. 15
  13. 43
  14. 82
  15. 36
  16. 51
  17. 9
  18. 75
  19. 30
  20. 85
  21. 64
  22. 69
  23. 57
  24. 86
  25. 67
  26. 73
  27. 37
  28. 42
  29. 9
  30. 28
  31. 57
  32. 20
  33. 17
  34. 27
  35. 79
  36. 84
  37. 56
  38. 13
  39. 33
  40. 95

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