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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 413 · 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 numbers is 114. What is the largest of them?
  2. 2.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  3. 3.The sum of two numbers is 81 and their difference is 41. What is the smaller number?
  4. 4.The sum of two numbers is 56 and their difference is 20. What is the larger number?
  5. 5.The sum of two numbers is 36 and their difference is 14. What is the larger number?
  6. 6.One number is 3 times another. Their difference is 66. What is the smaller number?
  7. 7.The sum of two numbers is 121 and their difference is 77. What is the larger number?
  8. 8.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  9. 9.The sum of 5 consecutive numbers is 185. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 72. What is the largest of them?
  11. 11.One number is 6 times another. Their difference is 100. What is the smaller number?
  12. 12.The sum of two numbers is 38 and their difference is 14. What is the smaller number?
  13. 13.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?
  14. 14.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  15. 15.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?
  16. 16.The sum of 4 consecutive even numbers is 124. What is the largest of them?
  17. 17.One number is 3 times another. Their difference is 48. What is the smaller number?
  18. 18.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  20. 20.One number is 5 times another. Their difference is 160. What is the smaller number?
  21. 21.The sum of two numbers is 41 and their difference is 37. What is the larger number?
  22. 22.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?
  23. 23.The sum of two numbers is 57 and their difference is 7. What is the larger number?
  24. 24.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  26. 26.The sum of 3 consecutive numbers is 30. What is the largest of them?
  27. 27.The sum of two numbers is 42 and their difference is 6. What is the larger number?
  28. 28.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  29. 29.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  30. 30.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  31. 31.The sum of two numbers is 50 and their difference is 12. What is the smaller number?
  32. 32.The sum of two numbers is 52 and their difference is 20. What is the smaller number?
  33. 33.The sum of two numbers is 99 and their difference is 7. What is the smaller number?
  34. 34.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?
  35. 35.The sum of 4 consecutive numbers is 118. What is the largest of them?
  36. 36.One number is 4 times another. Their difference is 42. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  38. 38.The sum of 4 consecutive numbers is 134. What is the smallest of them?
  39. 39.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?
  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. 39
  2. 17
  3. 20
  4. 38
  5. 25
  6. 33
  7. 99
  8. 35
  9. 39
  10. 25
  11. 20
  12. 12
  13. 45
  14. 59
  15. 89
  16. 34
  17. 24
  18. 7
  19. 15
  20. 40
  21. 39
  22. 13
  23. 32
  24. 22
  25. 34
  26. 11
  27. 24
  28. 38
  29. 58
  30. 14
  31. 19
  32. 16
  33. 46
  34. 58
  35. 31
  36. 14
  37. 68
  38. 32
  39. 48
  40. 59

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