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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 4 · 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 even numbers is 114. What is the smallest of them?
  2. 2.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  3. 3.One number is 5 times another. Their difference is 128. 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 9. What is the number?
  5. 5.The sum of 4 consecutive numbers is 242. What is the largest of them?
  6. 6.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?
  7. 7.The sum of 4 consecutive numbers is 98. What is the largest of them?
  8. 8.One number is 6 times another. Their difference is 105. What is the smaller number?
  9. 9.The sum of 4 consecutive even numbers is 292. What is the largest of them?
  10. 10.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.The sum of 4 consecutive numbers is 46. What is the largest of them?
  12. 12.The sum of two numbers is 77 and their difference is 29. What is the larger number?
  13. 13.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  14. 14.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?
  15. 15.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  16. 16.One number is 4 times another. Their difference is 117. What is the smaller number?
  17. 17.The sum of two numbers is 41 and their difference is 37. What is the larger number?
  18. 18.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  19. 19.The sum of two numbers is 177 and their difference is 11. What is the smaller number?
  20. 20.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  21. 21.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  22. 22.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  23. 23.The sum of 5 consecutive numbers is 80. What is the largest of them?
  24. 24.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  25. 25.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  26. 26.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  27. 27.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  28. 28.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  29. 29.The sum of two numbers is 44 and their difference is 2. What is the smaller number?
  30. 30.The sum of two numbers is 92 and their difference is 84. What is the larger number?
  31. 31.The sum of two numbers is 59 and their difference is 37. What is the smaller number?
  32. 32.The sum of two numbers is 21 and their difference is 11. What is the larger number?
  33. 33.One number is 5 times another. Their difference is 36. What is the smaller number?
  34. 34.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  35. 35.The sum of two numbers is 86 and their difference is 10. What is the smaller number?
  36. 36.The sum of two numbers is 45 and their difference is 39. What is the larger number?
  37. 37.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  38. 38.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  39. 39.The sum of 3 consecutive odd numbers is 57. What is the largest of them?
  40. 40.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?

Answer key

  1. 36
  2. 35
  3. 32
  4. 78
  5. 62
  6. 49
  7. 26
  8. 21
  9. 76
  10. 35
  11. 13
  12. 53
  13. 26
  14. 59
  15. 15
  16. 39
  17. 39
  18. 34
  19. 83
  20. 27
  21. 42
  22. 26
  23. 18
  24. 65
  25. 46
  26. 62
  27. 5
  28. 60
  29. 21
  30. 88
  31. 11
  32. 16
  33. 9
  34. 23
  35. 38
  36. 42
  37. 77
  38. 54
  39. 21
  40. 15

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