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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 530 · 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 3 consecutive odd numbers is 165. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  3. 3.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  4. 4.The sum of two numbers is 104 and their difference is 22. What is the smaller number?
  5. 5.One number is 3 times another. Their difference is 38. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  9. 9.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?
  10. 10.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?
  11. 11.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  12. 12.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  13. 13.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  14. 14.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  15. 15.The sum of two numbers is 107 and their difference is 3. What is the larger number?
  16. 16.One number is 5 times another. Their difference is 48. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 26. What is the largest of them?
  18. 18.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  19. 19.The sum of two numbers is 41 and their difference is 17. What is the larger number?
  20. 20.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  21. 21.The sum of 3 consecutive numbers is 123. What is the largest of them?
  22. 22.The sum of two numbers is 143 and their difference is 43. What is the smaller number?
  23. 23.The sum of 5 consecutive numbers is 310. What is the smallest of them?
  24. 24.The sum of two numbers is 137 and their difference is 51. What is the larger number?
  25. 25.The sum of 3 consecutive numbers is 66. What is the largest of them?
  26. 26.The sum of two numbers is 88 and their difference is 16. What is the larger number?
  27. 27.The sum of two numbers is 58 and their difference is 46. What is the larger number?
  28. 28.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?
  29. 29.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  30. 30.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  31. 31.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  32. 32.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  33. 33.One number is 3 times another. Their difference is 16. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 105. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  37. 37.One number is 2 times another. Their difference is 24. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  39. 39.One number is 3 times another. Their difference is 36. What is the smaller number?
  40. 40.The sum of 4 consecutive even numbers is 276. What is the smallest of them?

Answer key

  1. 57
  2. 32
  3. 75
  4. 41
  5. 19
  6. 17
  7. 47
  8. 80
  9. 89
  10. 23
  11. 67
  12. 8
  13. 60
  14. 23
  15. 55
  16. 12
  17. 8
  18. 43
  19. 29
  20. 15
  21. 42
  22. 50
  23. 60
  24. 94
  25. 23
  26. 52
  27. 52
  28. 36
  29. 33
  30. 11
  31. 70
  32. 50
  33. 8
  34. 23
  35. 13
  36. 80
  37. 24
  38. 20
  39. 18
  40. 66

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