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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 326 · 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 156. What is the smallest of them?
  2. 2.The sum of 3 consecutive numbers is 183. What is the largest of them?
  3. 3.One number is 6 times another. Their difference is 180. What is the smaller number?
  4. 4.The sum of two numbers is 28 and their difference is 18. What is the smaller number?
  5. 5.One number is 3 times another. Their difference is 60. What is the smaller number?
  6. 6.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?
  7. 7.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?
  8. 8.One number is 2 times another. Their difference is 29. What is the smaller number?
  9. 9.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  10. 10.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  11. 11.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
  12. 12.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  13. 13.One number is 4 times another. Their difference is 18. What is the smaller number?
  14. 14.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 40. What is the largest of them?
  16. 16.One number is 2 times another. Their difference is 34. What is the smaller number?
  17. 17.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  18. 18.One number is 6 times another. Their difference is 95. What is the smaller number?
  19. 19.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  20. 20.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?
  21. 21.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  22. 22.One number is 3 times another. Their difference is 30. What is the smaller number?
  23. 23.One number is 3 times another. Their difference is 24. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 170. What is the largest of them?
  25. 25.One number is 6 times another. Their difference is 200. What is the smaller number?
  26. 26.The sum of two numbers is 64 and their difference is 8. What is the larger number?
  27. 27.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  28. 28.The sum of two numbers is 64 and their difference is 50. What is the smaller number?
  29. 29.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  30. 30.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
  31. 31.The sum of two numbers is 42 and their difference is 4. What is the larger number?
  32. 32.One number is 6 times another. Their difference is 75. What is the smaller number?
  33. 33.The sum of 4 consecutive odd numbers is 320. What is the largest of them?
  34. 34.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  35. 35.One number is 5 times another. Their difference is 120. What is the smaller number?
  36. 36.The sum of two numbers is 110 and their difference is 80. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  38. 38.The sum of 4 consecutive numbers is 106. What is the largest of them?
  39. 39.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?
  40. 40.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?

Answer key

  1. 50
  2. 62
  3. 36
  4. 5
  5. 30
  6. 78
  7. 89
  8. 29
  9. 25
  10. 30
  11. 62
  12. 56
  13. 6
  14. 74
  15. 10
  16. 34
  17. 41
  18. 19
  19. 30
  20. 46
  21. 47
  22. 15
  23. 12
  24. 44
  25. 40
  26. 36
  27. 70
  28. 7
  29. 80
  30. 14
  31. 23
  32. 15
  33. 83
  34. 51
  35. 30
  36. 15
  37. 32
  38. 28
  39. 79
  40. 57

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