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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 196 · 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 75. What is the smallest of them?
  2. 2.The sum of two numbers is 20 and their difference is 2. What is the larger number?
  3. 3.One number is 2 times another. Their difference is 4. What is the smaller number?
  4. 4.The sum of two numbers is 21 and their difference is 11. What is the smaller number?
  5. 5.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  6. 6.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?
  7. 7.The sum of 5 consecutive numbers is 275. What is the largest of them?
  8. 8.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  9. 9.One number is 2 times another. Their difference is 32. What is the smaller number?
  10. 10.The sum of two numbers is 29 and their difference is 25. What is the larger number?
  11. 11.The sum of 4 consecutive numbers is 178. What is the largest of them?
  12. 12.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  13. 13.The sum of two numbers is 39 and their difference is 1. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  15. 15.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?
  16. 16.One number is 2 times another. Their difference is 9. What is the smaller number?
  17. 17.One number is 6 times another. Their difference is 150. What is the smaller number?
  18. 18.The sum of two numbers is 72 and their difference is 30. What is the larger number?
  19. 19.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?
  20. 20.One number is 6 times another. Their difference is 140. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  22. 22.One number is 6 times another. Their difference is 170. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  24. 24.The sum of 4 consecutive numbers is 214. What is the largest of them?
  25. 25.The sum of two numbers is 84 and their difference is 14. What is the smaller number?
  26. 26.One number is 3 times another. Their difference is 8. What is the smaller number?
  27. 27.One number is 4 times another. Their difference is 9. What is the smaller number?
  28. 28.One number is 5 times another. Their difference is 60. What is the smaller number?
  29. 29.The sum of two numbers is 106 and their difference is 38. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 132. What is the largest of them?
  31. 31.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?
  32. 32.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  34. 34.One number is 5 times another. Their difference is 20. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  36. 36.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?
  37. 37.The sum of two numbers is 79 and their difference is 39. What is the smaller number?
  38. 38.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  40. 40.The sum of 3 consecutive odd numbers is 57. What is the largest of them?

Answer key

  1. 24
  2. 11
  3. 4
  4. 5
  5. 6
  6. 89
  7. 57
  8. 49
  9. 32
  10. 27
  11. 46
  12. 18
  13. 19
  14. 25
  15. 13
  16. 9
  17. 30
  18. 51
  19. 69
  20. 28
  21. 15
  22. 34
  23. 77
  24. 55
  25. 35
  26. 4
  27. 3
  28. 15
  29. 34
  30. 45
  31. 67
  32. 28
  33. 46
  34. 5
  35. 16
  36. 59
  37. 20
  38. 68
  39. 11
  40. 21

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