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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 399 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  2. 2.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 70. What is the largest of them?
  4. 4.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  5. 5.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?
  6. 6.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of two numbers is 117 and their difference is 45. What is the larger number?
  9. 9.One number is 3 times another. Their difference is 16. What is the smaller number?
  10. 10.The sum of two numbers is 12 and their difference is 8. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  12. 12.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  13. 13.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?
  14. 14.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  15. 15.The sum of two numbers is 84 and their difference is 24. What is the smaller number?
  16. 16.The sum of 4 consecutive numbers is 158. What is the largest of them?
  17. 17.The sum of two numbers is 29 and their difference is 11. What is the smaller number?
  18. 18.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?
  19. 19.One number is 6 times another. Their difference is 60. What is the smaller number?
  20. 20.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?
  21. 21.One number is 6 times another. Their difference is 20. What is the smaller number?
  22. 22.The sum of 4 consecutive even numbers is 180. What is the smallest of them?
  23. 23.One number is 5 times another. Their difference is 100. What is the smaller number?
  24. 24.The sum of two numbers is 110 and their difference is 60. What is the smaller number?
  25. 25.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?
  26. 26.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  27. 27.The sum of two numbers is 57 and their difference is 53. What is the smaller number?
  28. 28.The sum of two numbers is 192 and their difference is 2. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  30. 30.The sum of 4 consecutive even numbers is 180. What is the largest of them?
  31. 31.One number is 3 times another. Their difference is 14. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 84. What is the largest of them?
  33. 33.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?
  34. 34.The sum of two numbers is 59 and their difference is 7. What is the smaller number?
  35. 35.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  36. 36.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  37. 37.The sum of 5 consecutive numbers is 295. What is the largest of them?
  38. 38.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?
  39. 39.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?
  40. 40.One number is 6 times another. Their difference is 115. What is the smaller number?

Answer key

  1. 26
  2. 23
  3. 19
  4. 69
  5. 78
  6. 11
  7. 15
  8. 81
  9. 8
  10. 2
  11. 6
  12. 27
  13. 29
  14. 28
  15. 30
  16. 41
  17. 9
  18. 56
  19. 12
  20. 57
  21. 4
  22. 42
  23. 25
  24. 25
  25. 79
  26. 45
  27. 2
  28. 95
  29. 29
  30. 48
  31. 7
  32. 29
  33. 14
  34. 26
  35. 13
  36. 39
  37. 61
  38. 69
  39. 89
  40. 23

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