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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 787 · 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 digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  2. 2.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  3. 3.One number is 6 times another. Their difference is 80. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 230. What is the largest of them?
  5. 5.One number is 6 times another. Their difference is 55. What is the smaller number?
  6. 6.The sum of two numbers is 35 and their difference is 9. What is the larger number?
  7. 7.The sum of two numbers is 15 and their difference is 9. What is the larger number?
  8. 8.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  9. 9.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  10. 10.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?
  11. 11.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?
  12. 12.The sum of two numbers is 107 and their difference is 17. What is the larger number?
  13. 13.The sum of two numbers is 36 and their difference is 12. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  15. 15.One number is 4 times another. Their difference is 102. What is the smaller number?
  16. 16.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  17. 17.One number is 6 times another. Their difference is 145. What is the smaller number?
  18. 18.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?
  19. 19.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  20. 20.The sum of two numbers is 14 and their difference is 10. What is the larger number?
  21. 21.One number is 3 times another. Their difference is 56. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  23. 23.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  24. 24.The sum of two numbers is 102 and their difference is 52. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 36. What is the largest of them?
  26. 26.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  27. 27.One number is 5 times another. Their difference is 20. What is the smaller number?
  28. 28.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  29. 29.The sum of two numbers is 83 and their difference is 11. What is the larger number?
  30. 30.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  32. 32.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  33. 33.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  34. 34.The sum of 3 consecutive numbers is 162. What is the largest of them?
  35. 35.One number is 4 times another. Their difference is 99. What is the smaller number?
  36. 36.The sum of two numbers is 56 and their difference is 34. What is the smaller number?
  37. 37.One number is 2 times another. Their difference is 20. What is the smaller number?
  38. 38.The sum of two numbers is 66 and their difference is 16. What is the larger number?
  39. 39.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 45. What is the smallest of them?

Answer key

  1. 29
  2. 28
  3. 16
  4. 59
  5. 11
  6. 22
  7. 12
  8. 45
  9. 49
  10. 58
  11. 89
  12. 62
  13. 12
  14. 36
  15. 34
  16. 22
  17. 29
  18. 79
  19. 24
  20. 12
  21. 28
  22. 6
  23. 45
  24. 25
  25. 13
  26. 70
  27. 5
  28. 22
  29. 47
  30. 55
  31. 36
  32. 56
  33. 16
  34. 55
  35. 33
  36. 11
  37. 20
  38. 41
  39. 47
  40. 7

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