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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 442 · 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 13. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  3. 3.One number is 2 times another. Their difference is 28. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 255. What is the largest of them?
  5. 5.One number is 4 times another. Their difference is 84. What is the smaller number?
  6. 6.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  7. 7.The sum of two numbers is 140 and their difference is 20. What is the smaller number?
  8. 8.One number is 3 times another. Their difference is 20. What is the smaller number?
  9. 9.The sum of two numbers is 99 and their difference is 25. What is the larger number?
  10. 10.The sum of two numbers is 120 and their difference is 54. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  12. 12.The sum of 4 consecutive numbers is 54. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  14. 14.The sum of two numbers is 61 and their difference is 5. What is the smaller number?
  15. 15.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?
  16. 16.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?
  17. 17.One number is 6 times another. Their difference is 100. What is the smaller number?
  18. 18.The sum of 4 consecutive even numbers is 180. What is the largest of them?
  19. 19.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  20. 20.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  21. 21.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  23. 23.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  24. 24.One number is 4 times another. Their difference is 9. What is the smaller number?
  25. 25.The sum of two numbers is 65 and their difference is 9. What is the larger number?
  26. 26.The sum of two numbers is 50 and their difference is 18. What is the larger number?
  27. 27.The sum of two numbers is 54 and their difference is 4. What is the smaller number?
  28. 28.One number is 3 times another. Their difference is 12. What is the smaller number?
  29. 29.The sum of 4 consecutive odd numbers is 320. What is the largest of them?
  30. 30.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?
  31. 31.The sum of two numbers is 78 and their difference is 62. What is the smaller number?
  32. 32.The sum of two numbers is 41 and their difference is 17. What is the larger number?
  33. 33.The sum of two numbers is 135 and their difference is 27. What is the larger number?
  34. 34.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  35. 35.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  36. 36.One number is 3 times another. Their difference is 66. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 36. What is the largest of them?
  38. 38.The sum of two numbers is 46 and their difference is 22. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 63. What is the largest of them?
  40. 40.The sum of 3 consecutive even numbers is 48. What is the largest of them?

Answer key

  1. 58
  2. 47
  3. 28
  4. 53
  5. 28
  6. 29
  7. 60
  8. 10
  9. 62
  10. 33
  11. 12
  12. 15
  13. 14
  14. 28
  15. 68
  16. 78
  17. 20
  18. 48
  19. 15
  20. 23
  21. 39
  22. 11
  23. 27
  24. 3
  25. 37
  26. 34
  27. 25
  28. 6
  29. 83
  30. 15
  31. 8
  32. 29
  33. 81
  34. 56
  35. 40
  36. 33
  37. 13
  38. 12
  39. 22
  40. 18

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