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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 91 · 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 4 consecutive numbers is 86. What is the smallest of them?
  2. 2.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?
  3. 3.The sum of 3 consecutive numbers is 123. What is the largest of them?
  4. 4.The sum of two numbers is 100 and their difference is 68. What is the larger number?
  5. 5.One number is 2 times another. Their difference is 38. What is the smaller number?
  6. 6.The sum of two numbers is 28 and their difference is 22. What is the larger number?
  7. 7.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  8. 8.One number is 2 times another. Their difference is 24. What is the smaller number?
  9. 9.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  10. 10.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  11. 11.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  12. 12.One number is 6 times another. Their difference is 25. What is the smaller number?
  13. 13.One number is 6 times another. Their difference is 80. What is the smaller number?
  14. 14.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  16. 16.The sum of two numbers is 95 and their difference is 1. What is the larger number?
  17. 17.One number is 4 times another. Their difference is 99. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  19. 19.One number is 3 times another. Their difference is 44. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  21. 21.One number is 5 times another. Their difference is 136. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 295. What is the largest of them?
  23. 23.The sum of 4 consecutive numbers is 142. What is the largest of them?
  24. 24.The sum of two numbers is 37 and their difference is 27. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 18. What is the largest of them?
  26. 26.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  27. 27.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  28. 28.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  29. 29.The sum of 4 consecutive numbers is 26. What is the largest of them?
  30. 30.One number is 5 times another. Their difference is 152. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 86. What is the largest of them?
  32. 32.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  33. 33.One number is 4 times another. Their difference is 111. What is the smaller number?
  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 digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  36. 36.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  37. 37.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?
  38. 38.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  39. 39.One number is 2 times another. Their difference is 22. What is the smaller number?
  40. 40.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?

Answer key

  1. 20
  2. 89
  3. 42
  4. 84
  5. 38
  6. 25
  7. 43
  8. 24
  9. 45
  10. 57
  11. 15
  12. 5
  13. 16
  14. 11
  15. 50
  16. 48
  17. 33
  18. 8
  19. 22
  20. 57
  21. 34
  22. 61
  23. 37
  24. 5
  25. 7
  26. 60
  27. 73
  28. 31
  29. 8
  30. 38
  31. 23
  32. 26
  33. 37
  34. 57
  35. 58
  36. 13
  37. 14
  38. 38
  39. 22
  40. 17

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