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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 789 · 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 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?
  2. 2.The sum of 3 consecutive numbers is 153. What is the largest of them?
  3. 3.One number is 6 times another. Their difference is 95. What is the smaller number?
  4. 4.The sum of two numbers is 46 and their difference is 12. What is the smaller number?
  5. 5.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 95. What is the largest of them?
  7. 7.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  8. 8.One number is 2 times another. Their difference is 17. What is the smaller number?
  9. 9.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  10. 10.One number is 6 times another. Their difference is 165. What is the smaller number?
  11. 11.The sum of two numbers is 28 and their difference is 20. What is the smaller number?
  12. 12.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  13. 13.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  14. 14.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  16. 16.The sum of two numbers is 17 and their difference is 11. What is the smaller number?
  17. 17.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?
  18. 18.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 120. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  21. 21.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?
  22. 22.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  23. 23.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 129. What is the largest of them?
  25. 25.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  26. 26.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  27. 27.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  28. 28.The sum of 5 consecutive numbers is 135. What is the largest of them?
  29. 29.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  30. 30.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 96. What is the largest of them?
  32. 32.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  33. 33.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  34. 34.The sum of two numbers is 74 and their difference is 46. What is the smaller number?
  35. 35.The sum of 4 consecutive numbers is 50. What is the largest of them?
  36. 36.The sum of two numbers is 24 and their difference is 2. What is the smaller number?
  37. 37.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of 4 consecutive even numbers is 164. What is the largest of them?
  40. 40.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?

Answer key

  1. 89
  2. 52
  3. 19
  4. 17
  5. 71
  6. 21
  7. 31
  8. 17
  9. 7
  10. 33
  11. 4
  12. 72
  13. 56
  14. 22
  15. 12
  16. 3
  17. 78
  18. 57
  19. 41
  20. 69
  21. 34
  22. 26
  23. 17
  24. 44
  25. 81
  26. 67
  27. 10
  28. 29
  29. 75
  30. 22
  31. 33
  32. 55
  33. 35
  34. 14
  35. 14
  36. 11
  37. 13
  38. 59
  39. 44
  40. 47

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