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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 223 · 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 5 consecutive numbers is 265. What is the smallest of them?
  2. 2.One number is 2 times another. Their difference is 30. What is the smaller number?
  3. 3.One number is 4 times another. Their difference is 54. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 140. What is the largest of them?
  5. 5.One number is 3 times another. Their difference is 42. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  7. 7.The sum of two numbers is 59 and their difference is 1. What is the smaller number?
  8. 8.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 21. What is the largest of them?
  11. 11.One number is 3 times another. Their difference is 28. What is the smaller number?
  12. 12.One number is 3 times another. Their difference is 24. What is the smaller number?
  13. 13.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  14. 14.One number is 5 times another. Their difference is 52. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 115. What is the largest of them?
  16. 16.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  17. 17.One number is 5 times another. Their difference is 104. What is the smaller number?
  18. 18.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 93. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  21. 21.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  22. 22.The sum of 4 consecutive even numbers is 260. What is the largest of them?
  23. 23.The sum of two numbers is 141 and their difference is 23. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 120. What is the largest of them?
  25. 25.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?
  26. 26.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  27. 27.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  28. 28.The sum of 5 consecutive numbers is 120. What is the largest of them?
  29. 29.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  30. 30.The sum of two numbers is 96 and their difference is 60. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  32. 32.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  33. 33.The sum of two numbers is 193 and their difference is 1. What is the larger number?
  34. 34.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  35. 35.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  36. 36.The sum of two numbers is 24 and their difference is 4. What is the smaller number?
  37. 37.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  38. 38.The sum of two numbers is 80 and their difference is 70. What is the larger number?
  39. 39.One number is 5 times another. Their difference is 28. What is the smaller number?
  40. 40.The sum of two numbers is 49 and their difference is 35. What is the larger number?

Answer key

  1. 51
  2. 30
  3. 18
  4. 30
  5. 21
  6. 54
  7. 29
  8. 57
  9. 39
  10. 8
  11. 14
  12. 12
  13. 13
  14. 13
  15. 25
  16. 30
  17. 26
  18. 51
  19. 32
  20. 25
  21. 25
  22. 68
  23. 59
  24. 41
  25. 27
  26. 80
  27. 31
  28. 26
  29. 51
  30. 18
  31. 10
  32. 20
  33. 97
  34. 46
  35. 25
  36. 10
  37. 63
  38. 75
  39. 7
  40. 42

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