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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 37 · 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 200. What is the smallest of them?
  2. 2.The sum of two numbers is 153 and their difference is 5. What is the larger number?
  3. 3.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  4. 4.The sum of 4 consecutive odd numbers is 256. What is the largest of them?
  5. 5.The sum of two numbers is 79 and their difference is 73. What is the smaller number?
  6. 6.The sum of two numbers is 54 and their difference is 14. What is the larger number?
  7. 7.The sum of 5 consecutive numbers is 275. What is the largest of them?
  8. 8.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  9. 9.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  10. 10.The sum of two numbers is 122 and their difference is 10. What is the larger number?
  11. 11.The sum of two numbers is 66 and their difference is 32. What is the smaller number?
  12. 12.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  13. 13.The sum of 5 consecutive numbers is 150. What is the largest of them?
  14. 14.One number is 4 times another. Their difference is 30. What is the smaller number?
  15. 15.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?
  16. 16.The sum of two numbers is 36 and their difference is 30. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 214. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 110. What is the smallest 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 45. What is the number?
  21. 21.One number is 4 times another. Their difference is 117. What is the smaller number?
  22. 22.The sum of two numbers is 171 and their difference is 21. What is the smaller number?
  23. 23.One number is 4 times another. Their difference is 93. What is the smaller number?
  24. 24.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  25. 25.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  26. 26.The sum of two numbers is 25 and their difference is 21. What is the smaller number?
  27. 27.One number is 3 times another. Their difference is 38. What is the smaller number?
  28. 28.One number is 2 times another. Their difference is 32. What is the smaller number?
  29. 29.The sum of two numbers is 105 and their difference is 59. What is the smaller number?
  30. 30.The sum of 4 consecutive odd numbers is 336. What is the largest of them?
  31. 31.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  33. 33.The sum of 5 consecutive numbers is 85. What is the largest of them?
  34. 34.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?
  35. 35.The sum of 3 consecutive numbers is 144. What is the largest of them?
  36. 36.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  37. 37.The sum of two numbers is 82 and their difference is 56. What is the smaller number?
  38. 38.One number is 5 times another. Their difference is 24. What is the smaller number?
  39. 39.The sum of two numbers is 119 and their difference is 79. What is the larger number?
  40. 40.The sum of 3 consecutive numbers is 147. What is the largest of them?

Answer key

  1. 38
  2. 79
  3. 76
  4. 67
  5. 3
  6. 34
  7. 57
  8. 41
  9. 30
  10. 66
  11. 17
  12. 66
  13. 32
  14. 10
  15. 67
  16. 3
  17. 18
  18. 55
  19. 20
  20. 16
  21. 39
  22. 75
  23. 31
  24. 28
  25. 35
  26. 2
  27. 19
  28. 32
  29. 23
  30. 87
  31. 47
  32. 21
  33. 19
  34. 89
  35. 49
  36. 31
  37. 13
  38. 6
  39. 99
  40. 50

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