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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 657 · 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 3 consecutive odd numbers is 159. What is the largest of them?
  2. 2.The sum of two numbers is 48 and their difference is 12. What is the larger number?
  3. 3.The sum of two numbers is 41 and their difference is 25. What is the larger number?
  4. 4.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?
  5. 5.The sum of two numbers is 67 and their difference is 31. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  7. 7.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  8. 8.The sum of two numbers is 135 and their difference is 49. What is the smaller number?
  9. 9.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of 5 consecutive numbers is 185. What is the largest of them?
  12. 12.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  13. 13.One number is 5 times another. Their difference is 92. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  15. 15.The sum of two numbers is 136 and their difference is 16. What is the larger number?
  16. 16.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  17. 17.The sum of two numbers is 94 and their difference is 38. What is the larger number?
  18. 18.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?
  19. 19.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?
  20. 20.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  21. 21.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  22. 22.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  23. 23.The sum of two numbers is 45 and their difference is 11. What is the smaller number?
  24. 24.The sum of two numbers is 44 and their difference is 6. What is the smaller number?
  25. 25.One number is 4 times another. Their difference is 18. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 45. What is the largest of them?
  27. 27.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 98. What is the largest of them?
  29. 29.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  31. 31.The sum of two numbers is 62 and their difference is 2. What is the smaller number?
  32. 32.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  33. 33.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 123. What is the largest of them?
  35. 35.The sum of 5 consecutive numbers is 165. What is the largest of them?
  36. 36.The sum of 3 consecutive even numbers is 228. What is the largest of them?
  37. 37.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  38. 38.One number is 4 times another. Their difference is 45. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 30. What is the smallest of them?

Answer key

  1. 55
  2. 30
  3. 33
  4. 89
  5. 18
  6. 41
  7. 8
  8. 43
  9. 34
  10. 68
  11. 39
  12. 25
  13. 23
  14. 76
  15. 76
  16. 82
  17. 66
  18. 78
  19. 35
  20. 46
  21. 48
  22. 24
  23. 17
  24. 19
  25. 6
  26. 16
  27. 65
  28. 26
  29. 15
  30. 31
  31. 30
  32. 11
  33. 28
  34. 42
  35. 35
  36. 78
  37. 25
  38. 15
  39. 85
  40. 6

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