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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 757 · 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 two numbers is 77 and their difference is 13. What is the larger number?
  2. 2.The sum of two numbers is 168 and their difference is 18. What is the larger number?
  3. 3.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  4. 4.The sum of 4 consecutive numbers is 246. What is the largest of them?
  5. 5.The sum of two numbers is 122 and their difference is 6. What is the smaller number?
  6. 6.The sum of two numbers is 32 and their difference is 6. What is the smaller number?
  7. 7.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  8. 8.One number is 6 times another. Their difference is 35. What is the smaller number?
  9. 9.One number is 4 times another. Their difference is 12. What is the smaller number?
  10. 10.One number is 3 times another. Their difference is 48. What is the smaller number?
  11. 11.One number is 4 times another. Their difference is 33. What is the smaller number?
  12. 12.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  13. 13.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  14. 14.One number is 3 times another. Their difference is 20. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  16. 16.The sum of two numbers is 155 and their difference is 33. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 166. What is the largest of them?
  18. 18.The sum of two numbers is 21 and their difference is 15. What is the larger number?
  19. 19.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  20. 20.The sum of two numbers is 44 and their difference is 2. What is the smaller number?
  21. 21.One number is 2 times another. Their difference is 20. What is the smaller number?
  22. 22.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  23. 23.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  24. 24.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  25. 25.The sum of 5 consecutive numbers is 205. What is the largest of them?
  26. 26.The sum of two numbers is 48 and their difference is 12. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  28. 28.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  29. 29.The sum of two numbers is 102 and their difference is 16. What is the smaller number?
  30. 30.The sum of two numbers is 117 and their difference is 49. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 54. What is the largest of them?
  32. 32.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  33. 33.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?
  34. 34.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?
  35. 35.One number is 3 times another. Their difference is 50. What is the smaller number?
  36. 36.The sum of two numbers is 63 and their difference is 17. What is the smaller number?
  37. 37.One number is 6 times another. Their difference is 135. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  39. 39.One number is 6 times another. Their difference is 170. What is the smaller number?
  40. 40.One number is 6 times another. Their difference is 180. What is the smaller number?

Answer key

  1. 45
  2. 93
  3. 26
  4. 63
  5. 58
  6. 13
  7. 61
  8. 7
  9. 4
  10. 24
  11. 11
  12. 17
  13. 65
  14. 10
  15. 38
  16. 61
  17. 43
  18. 18
  19. 43
  20. 21
  21. 20
  22. 12
  23. 61
  24. 10
  25. 43
  26. 18
  27. 49
  28. 20
  29. 43
  30. 34
  31. 19
  32. 71
  33. 57
  34. 14
  35. 25
  36. 23
  37. 27
  38. 47
  39. 34
  40. 36

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