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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 195 · 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 27. What is the largest of them?
  2. 2.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  3. 3.The sum of two numbers is 101 and their difference is 23. What is the smaller number?
  4. 4.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?
  5. 5.The sum of 3 consecutive numbers is 48. What is the largest of them?
  6. 6.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  7. 7.One number is 2 times another. Their difference is 39. What is the smaller number?
  8. 8.The sum of two numbers is 112 and their difference is 6. What is the larger number?
  9. 9.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  10. 10.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  11. 11.The sum of two numbers is 32 and their difference is 6. What is the larger number?
  12. 12.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  14. 14.One number is 2 times another. Their difference is 38. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 124. What is the largest of them?
  16. 16.One number is 6 times another. Their difference is 180. What is the smaller number?
  17. 17.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  18. 18.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
  19. 19.One number is 2 times another. Their difference is 30. What is the smaller number?
  20. 20.One number is 6 times another. Their difference is 75. What is the smaller number?
  21. 21.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?
  22. 22.One number is 5 times another. Their difference is 60. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  24. 24.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  25. 25.The sum of two numbers is 120 and their difference is 26. What is the smaller number?
  26. 26.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?
  27. 27.The sum of two numbers is 52 and their difference is 44. What is the larger number?
  28. 28.The sum of 4 consecutive numbers is 246. What is the largest of them?
  29. 29.One number is 6 times another. Their difference is 25. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 141. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  32. 32.The sum of 5 consecutive numbers is 130. What is the largest of them?
  33. 33.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?
  34. 34.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  35. 35.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  36. 36.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of 4 consecutive numbers is 106. What is the largest of them?
  39. 39.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  40. 40.The sum of 4 consecutive even numbers is 36. What is the largest of them?

Answer key

  1. 11
  2. 56
  3. 39
  4. 69
  5. 17
  6. 18
  7. 39
  8. 59
  9. 70
  10. 72
  11. 19
  12. 75
  13. 28
  14. 38
  15. 34
  16. 36
  17. 80
  18. 46
  19. 30
  20. 15
  21. 78
  22. 15
  23. 35
  24. 40
  25. 47
  26. 57
  27. 48
  28. 63
  29. 5
  30. 48
  31. 42
  32. 28
  33. 34
  34. 12
  35. 26
  36. 47
  37. 48
  38. 28
  39. 49
  40. 12

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