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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 873 · 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 14. What is the smaller number?
  2. 2.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  3. 3.One number is 6 times another. Their difference is 135. What is the smaller number?
  4. 4.One number is 4 times another. Their difference is 78. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 168. What is the largest of them?
  6. 6.One number is 5 times another. Their difference is 148. What is the smaller number?
  7. 7.The sum of two numbers is 149 and their difference is 31. What is the smaller number?
  8. 8.The sum of two numbers is 107 and their difference is 71. What is the smaller number?
  9. 9.One number is 4 times another. Their difference is 87. What is the smaller number?
  10. 10.The sum of two numbers is 88 and their difference is 30. What is the larger number?
  11. 11.One number is 5 times another. Their difference is 140. What is the smaller number?
  12. 12.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  13. 13.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?
  14. 14.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  15. 15.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  16. 16.The sum of two numbers is 168 and their difference is 14. What is the larger number?
  17. 17.The sum of two numbers is 134 and their difference is 36. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  19. 19.The sum of two numbers is 86 and their difference is 76. What is the smaller number?
  20. 20.The sum of two numbers is 79 and their difference is 51. What is the smaller number?
  21. 21.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  22. 22.The sum of two numbers is 38 and their difference is 10. What is the larger number?
  23. 23.The sum of 4 consecutive even numbers is 108. What is the smallest 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 9. What is the number?
  25. 25.The sum of 4 consecutive numbers is 222. What is the largest of them?
  26. 26.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 129. What is the largest of them?
  28. 28.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  29. 29.The sum of 4 consecutive numbers is 238. What is the largest of them?
  30. 30.The sum of 5 consecutive numbers is 285. What is the largest of them?
  31. 31.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 63. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 93. What is the largest of them?
  34. 34.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?
  35. 35.The sum of two numbers is 74 and their difference is 50. What is the larger number?
  36. 36.The sum of 3 consecutive numbers is 123. What is the largest of them?
  37. 37.The sum of 3 consecutive odd numbers is 93. What is the largest 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 54. What is the number?
  39. 39.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  40. 40.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?

Answer key

  1. 14
  2. 23
  3. 27
  4. 26
  5. 57
  6. 37
  7. 59
  8. 18
  9. 29
  10. 59
  11. 35
  12. 86
  13. 12
  14. 53
  15. 80
  16. 91
  17. 49
  18. 40
  19. 5
  20. 14
  21. 73
  22. 24
  23. 24
  24. 78
  25. 57
  26. 82
  27. 44
  28. 80
  29. 61
  30. 59
  31. 66
  32. 22
  33. 32
  34. 57
  35. 62
  36. 42
  37. 33
  38. 17
  39. 41
  40. 59

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