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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 363 · 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 125. What is the largest of them?
  2. 2.The sum of two numbers is 60 and their difference is 2. What is the larger number?
  3. 3.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?
  4. 4.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  6. 6.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  7. 7.The sum of two numbers is 61 and their difference is 25. What is the larger number?
  8. 8.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  9. 9.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  10. 10.One number is 4 times another. Their difference is 9. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 82. What is the largest of them?
  12. 12.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?
  13. 13.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  14. 14.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  15. 15.One number is 5 times another. Their difference is 12. What is the smaller number?
  16. 16.The sum of two numbers is 26 and their difference is 16. What is the larger number?
  17. 17.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  18. 18.The sum of two numbers is 149 and their difference is 5. What is the smaller number?
  19. 19.The sum of two numbers is 85 and their difference is 61. What is the larger number?
  20. 20.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  21. 21.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  22. 22.The sum of 4 consecutive numbers is 62. What is the largest of them?
  23. 23.One number is 2 times another. Their difference is 4. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  27. 27.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  28. 28.The sum of two numbers is 107 and their difference is 3. What is the larger number?
  29. 29.The sum of 4 consecutive numbers is 34. What is the largest of them?
  30. 30.One number is 5 times another. Their difference is 136. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 214. What is the largest of them?
  33. 33.The sum of two numbers is 40 and their difference is 24. What is the larger number?
  34. 34.One number is 3 times another. Their difference is 20. What is the smaller number?
  35. 35.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  36. 36.The sum of 5 consecutive numbers is 145. What is the largest of them?
  37. 37.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  38. 38.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  39. 39.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  40. 40.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?

Answer key

  1. 27
  2. 31
  3. 48
  4. 48
  5. 27
  6. 10
  7. 43
  8. 67
  9. 58
  10. 3
  11. 22
  12. 78
  13. 29
  14. 45
  15. 3
  16. 21
  17. 47
  18. 72
  19. 73
  20. 19
  21. 19
  22. 17
  23. 4
  24. 25
  25. 21
  26. 34
  27. 38
  28. 55
  29. 10
  30. 34
  31. 23
  32. 55
  33. 32
  34. 10
  35. 57
  36. 31
  37. 57
  38. 13
  39. 55
  40. 31

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