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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 756 · 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 78. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  3. 3.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  4. 4.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  5. 5.One number is 6 times another. Their difference is 30. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 156. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 125. What is the largest of them?
  9. 9.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  10. 10.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 62. What is the largest of them?
  12. 12.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  13. 13.One number is 2 times another. Their difference is 34. What is the smaller number?
  14. 14.The sum of two numbers is 144 and their difference is 22. What is the larger number?
  15. 15.One number is 3 times another. Their difference is 30. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 75. What is the largest of them?
  17. 17.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  18. 18.One number is 6 times another. Their difference is 195. What is the smaller number?
  19. 19.One number is 5 times another. Their difference is 44. What is the smaller number?
  20. 20.One number is 2 times another. Their difference is 11. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  22. 22.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  23. 23.The sum of two numbers is 77 and their difference is 25. What is the smaller number?
  24. 24.The sum of two numbers is 142 and their difference is 6. What is the smaller number?
  25. 25.The sum of two numbers is 110 and their difference is 2. What is the larger number?
  26. 26.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  27. 27.The sum of two numbers is 50 and their difference is 24. What is the larger number?
  28. 28.The sum of two numbers is 101 and their difference is 27. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 141. What is the largest of them?
  30. 30.One number is 4 times another. Their difference is 93. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 26. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  33. 33.The sum of two numbers is 69 and their difference is 41. What is the larger number?
  34. 34.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  35. 35.One number is 2 times another. Their difference is 28. What is the smaller number?
  36. 36.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?
  37. 37.One number is 2 times another. Their difference is 35. What is the smaller number?
  38. 38.The sum of two numbers is 83 and their difference is 17. What is the smaller number?
  39. 39.One number is 3 times another. Their difference is 46. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?

Answer key

  1. 26
  2. 57
  3. 10
  4. 42
  5. 6
  6. 53
  7. 23
  8. 27
  9. 17
  10. 21
  11. 17
  12. 7
  13. 34
  14. 83
  15. 15
  16. 26
  17. 36
  18. 39
  19. 11
  20. 11
  21. 50
  22. 15
  23. 26
  24. 68
  25. 56
  26. 35
  27. 37
  28. 37
  29. 48
  30. 31
  31. 8
  32. 21
  33. 55
  34. 57
  35. 28
  36. 89
  37. 35
  38. 33
  39. 23
  40. 55

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