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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 998 · 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 4 consecutive odd numbers is 336. What is the largest of them?
  2. 2.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 194. What is the largest of them?
  4. 4.The sum of two numbers is 124 and their difference is 6. What is the larger number?
  5. 5.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 39. What is the largest of them?
  9. 9.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  11. 11.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  12. 12.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  13. 13.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  14. 14.The sum of two numbers is 100 and their difference is 14. What is the larger number?
  15. 15.One number is 4 times another. Their difference is 96. What is the smaller number?
  16. 16.The sum of 4 consecutive numbers is 30. What is the largest of them?
  17. 17.The sum of 4 consecutive numbers is 174. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 120. What is the largest of them?
  19. 19.The sum of two numbers is 74 and their difference is 56. What is the smaller number?
  20. 20.One number is 4 times another. Their difference is 57. What is the smaller number?
  21. 21.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  22. 22.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
  23. 23.One number is 6 times another. Their difference is 100. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  25. 25.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?
  26. 26.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  27. 27.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  28. 28.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  29. 29.The sum of two numbers is 56 and their difference is 28. What is the larger number?
  30. 30.The sum of two numbers is 162 and their difference is 34. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 50. What is the largest of them?
  32. 32.The sum of two numbers is 76 and their difference is 20. What is the smaller number?
  33. 33.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 190. What is the largest of them?
  35. 35.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?
  36. 36.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 98. What is the largest of them?
  38. 38.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?
  39. 39.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  40. 40.The sum of 4 consecutive odd numbers is 80. What is the largest of them?

Answer key

  1. 87
  2. 47
  3. 50
  4. 65
  5. 13
  6. 11
  7. 56
  8. 14
  9. 34
  10. 37
  11. 18
  12. 19
  13. 32
  14. 57
  15. 32
  16. 9
  17. 45
  18. 26
  19. 9
  20. 19
  21. 10
  22. 46
  23. 20
  24. 61
  25. 35
  26. 31
  27. 23
  28. 17
  29. 42
  30. 64
  31. 14
  32. 28
  33. 66
  34. 40
  35. 27
  36. 36
  37. 26
  38. 48
  39. 81
  40. 23

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