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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 467 · 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).

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  1. 1.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  2. 2.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  3. 3.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?
  4. 4.The sum of 4 consecutive numbers is 118. What is the largest of them?
  5. 5.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 141. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  8. 8.One number is 2 times another. Their difference is 23. What is the smaller number?
  9. 9.The sum of two numbers is 52 and their difference is 6. What is the larger number?
  10. 10.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  12. 12.One number is 5 times another. Their difference is 124. What is the smaller number?
  13. 13.One number is 6 times another. Their difference is 165. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  15. 15.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  16. 16.The sum of 3 consecutive numbers is 123. What is the largest of them?
  17. 17.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  19. 19.The sum of 4 consecutive even numbers is 196. What is the largest of them?
  20. 20.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  21. 21.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  22. 22.The sum of 4 consecutive numbers is 98. What is the largest of them?
  23. 23.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.The sum of 3 consecutive even numbers is 192. 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 36. What is the number?
  26. 26.The sum of two numbers is 98 and their difference is 14. What is the larger number?
  27. 27.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  28. 28.The sum of 3 consecutive numbers is 99. What is the largest of them?
  29. 29.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  30. 30.The sum of two numbers is 117 and their difference is 17. What is the smaller number?
  31. 31.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?
  32. 32.One number is 5 times another. Their difference is 56. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  35. 35.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.The sum of two numbers is 127 and their difference is 3. What is the smaller number?
  37. 37.The sum of two numbers is 79 and their difference is 7. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  39. 39.The sum of two numbers is 25 and their difference is 21. What is the larger number?
  40. 40.The sum of 5 consecutive numbers is 75. What is the smallest of them?

Answer key

  1. 77
  2. 15
  3. 47
  4. 31
  5. 49
  6. 48
  7. 29
  8. 23
  9. 29
  10. 40
  11. 6
  12. 31
  13. 33
  14. 58
  15. 31
  16. 42
  17. 32
  18. 20
  19. 52
  20. 42
  21. 9
  22. 26
  23. 68
  24. 66
  25. 37
  26. 56
  27. 12
  28. 34
  29. 45
  30. 50
  31. 89
  32. 14
  33. 19
  34. 36
  35. 79
  36. 62
  37. 36
  38. 12
  39. 23
  40. 13

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