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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 458 · 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 6 times another. Their difference is 35. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  3. 3.The sum of two numbers is 168 and their difference is 30. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  5. 5.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  6. 6.The sum of two numbers is 43 and their difference is 7. What is the larger number?
  7. 7.One number is 4 times another. Their difference is 72. What is the smaller number?
  8. 8.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  9. 9.One number is 6 times another. Their difference is 25. What is the smaller number?
  10. 10.The sum of two numbers is 78 and their difference is 24. What is the larger number?
  11. 11.The sum of 4 consecutive even numbers is 260. What is the largest of them?
  12. 12.One number is 2 times another. Their difference is 5. What is the smaller number?
  13. 13.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 118. What is the smallest of them?
  15. 15.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?
  16. 16.One number is 2 times another. Their difference is 26. What is the smaller number?
  17. 17.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?
  18. 18.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  19. 19.One number is 5 times another. Their difference is 80. What is the smaller number?
  20. 20.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  21. 21.The sum of 4 consecutive numbers is 190. What is the largest of them?
  22. 22.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  23. 23.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  25. 25.The sum of two numbers is 54 and their difference is 24. What is the larger number?
  26. 26.One number is 3 times another. Their difference is 14. What is the smaller number?
  27. 27.One number is 4 times another. Their difference is 12. What is the smaller number?
  28. 28.One number is 2 times another. Their difference is 16. What is the smaller number?
  29. 29.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?
  30. 30.The sum of 3 consecutive numbers is 117. What is the largest of them?
  31. 31.The sum of two numbers is 186 and their difference is 12. What is the smaller number?
  32. 32.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?
  33. 33.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  34. 34.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  35. 35.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  36. 36.The sum of 3 consecutive numbers is 171. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  38. 38.The sum of 4 consecutive numbers is 198. What is the largest of them?
  39. 39.The sum of two numbers is 113 and their difference is 41. What is the larger number?
  40. 40.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?

Answer key

  1. 7
  2. 8
  3. 69
  4. 15
  5. 37
  6. 25
  7. 24
  8. 58
  9. 5
  10. 51
  11. 68
  12. 5
  13. 13
  14. 28
  15. 89
  16. 26
  17. 57
  18. 70
  19. 20
  20. 29
  21. 49
  22. 27
  23. 24
  24. 36
  25. 39
  26. 7
  27. 4
  28. 16
  29. 79
  30. 40
  31. 87
  32. 68
  33. 46
  34. 5
  35. 67
  36. 58
  37. 41
  38. 51
  39. 77
  40. 69

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