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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 718 · 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.One number is 4 times another. Their difference is 66. What is the smaller number?
  2. 2.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  3. 3.One number is 2 times another. Their difference is 29. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  5. 5.One number is 2 times another. Their difference is 34. What is the smaller number?
  6. 6.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  8. 8.One number is 5 times another. Their difference is 140. What is the smaller number?
  9. 9.The sum of two numbers is 27 and their difference is 11. What is the smaller number?
  10. 10.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  11. 11.The sum of two numbers is 57 and their difference is 39. What is the larger number?
  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 digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  14. 14.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  15. 15.One number is 4 times another. Their difference is 21. What is the smaller number?
  16. 16.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  17. 17.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  18. 18.One number is 3 times another. Their difference is 58. What is the smaller number?
  19. 19.The sum of 4 consecutive even numbers is 180. What is the smallest of them?
  20. 20.The sum of 4 consecutive even numbers is 260. What is the largest of them?
  21. 21.The sum of 3 consecutive numbers is 75. What is the smallest of them?
  22. 22.The sum of two numbers is 21 and their difference is 17. What is the larger number?
  23. 23.The sum of two numbers is 42 and their difference is 22. What is the smaller number?
  24. 24.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  25. 25.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  26. 26.The sum of 5 consecutive numbers is 310. What is the largest of them?
  27. 27.The sum of two numbers is 41 and their difference is 5. What is the smaller number?
  28. 28.One number is 3 times another. Their difference is 18. What is the smaller number?
  29. 29.The sum of 4 consecutive even numbers is 36. What is the largest of them?
  30. 30.One number is 6 times another. Their difference is 150. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 222. What is the largest of them?
  32. 32.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  33. 33.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?
  34. 34.The sum of two numbers is 105 and their difference is 35. What is the smaller number?
  35. 35.The sum of two numbers is 151 and their difference is 19. What is the smaller number?
  36. 36.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  37. 37.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  39. 39.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 118. What is the smallest of them?

Answer key

  1. 22
  2. 79
  3. 29
  4. 56
  5. 34
  6. 64
  7. 35
  8. 35
  9. 8
  10. 61
  11. 48
  12. 78
  13. 38
  14. 69
  15. 7
  16. 60
  17. 26
  18. 29
  19. 42
  20. 68
  21. 24
  22. 19
  23. 10
  24. 18
  25. 59
  26. 64
  27. 18
  28. 9
  29. 12
  30. 30
  31. 57
  32. 36
  33. 89
  34. 35
  35. 66
  36. 13
  37. 34
  38. 17
  39. 51
  40. 28

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