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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 774 · 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 38 and their difference is 2. What is the larger number?
  2. 2.The sum of two numbers is 47 and their difference is 43. What is the larger number?
  3. 3.The sum of 5 consecutive numbers is 275. What is the largest of them?
  4. 4.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  5. 5.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  6. 6.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  7. 7.One number is 5 times another. Their difference is 112. What is the smaller number?
  8. 8.The sum of 5 consecutive numbers is 80. What is the largest of them?
  9. 9.One number is 6 times another. Their difference is 135. What is the smaller number?
  10. 10.One number is 5 times another. Their difference is 56. What is the smaller number?
  11. 11.The sum of two numbers is 40 and their difference is 18. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  14. 14.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?
  15. 15.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  16. 16.The sum of two numbers is 95 and their difference is 5. What is the larger number?
  17. 17.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  18. 18.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?
  19. 19.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  20. 20.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  21. 21.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  22. 22.One number is 5 times another. Their difference is 152. What is the smaller number?
  23. 23.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  24. 24.The sum of two numbers is 90 and their difference is 54. What is the larger number?
  25. 25.One number is 4 times another. Their difference is 87. What is the smaller number?
  26. 26.One number is 3 times another. Their difference is 38. What is the smaller number?
  27. 27.The sum of two numbers is 131 and their difference is 49. What is the smaller number?
  28. 28.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  29. 29.The sum of 3 consecutive numbers is 36. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 135. What is the largest of them?
  31. 31.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  32. 32.The sum of 5 consecutive numbers is 285. What is the largest of them?
  33. 33.The sum of 5 consecutive numbers is 300. What is the largest of them?
  34. 34.One number is 5 times another. Their difference is 24. What is the smaller number?
  35. 35.One number is 5 times another. Their difference is 148. What is the smaller number?
  36. 36.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  38. 38.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  39. 39.One number is 2 times another. Their difference is 28. What is the smaller number?
  40. 40.The sum of two numbers is 58 and their difference is 14. What is the larger number?

Answer key

  1. 20
  2. 45
  3. 57
  4. 34
  5. 10
  6. 51
  7. 28
  8. 18
  9. 27
  10. 14
  11. 11
  12. 89
  13. 8
  14. 15
  15. 29
  16. 50
  17. 43
  18. 79
  19. 20
  20. 79
  21. 27
  22. 38
  23. 45
  24. 72
  25. 29
  26. 19
  27. 41
  28. 75
  29. 13
  30. 46
  31. 54
  32. 59
  33. 62
  34. 6
  35. 37
  36. 80
  37. 21
  38. 47
  39. 28
  40. 36

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