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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 3 · 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 180. What is the largest of them?
  2. 2.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  3. 3.The sum of 4 consecutive even numbers is 268. What is the smallest of them?
  4. 4.The sum of two numbers is 56 and their difference is 28. What is the smaller number?
  5. 5.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  6. 6.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  8. 8.The sum of 4 consecutive even numbers is 276. What is the largest of them?
  9. 9.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  10. 10.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.The sum of two numbers is 101 and their difference is 23. What is the larger number?
  12. 12.The sum of two numbers is 56 and their difference is 26. What is the larger number?
  13. 13.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  14. 14.One number is 6 times another. Their difference is 65. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 150. What is the largest of them?
  16. 16.The sum of 5 consecutive numbers is 310. What is the smallest of them?
  17. 17.One number is 6 times another. Their difference is 180. What is the smaller number?
  18. 18.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?
  19. 19.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  20. 20.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?
  21. 21.One number is 6 times another. Their difference is 175. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  23. 23.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?
  24. 24.One number is 6 times another. Their difference is 55. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 174. What is the largest of them?
  26. 26.The sum of two numbers is 52 and their difference is 14. What is the larger number?
  27. 27.The sum of two numbers is 41 and their difference is 25. What is the larger number?
  28. 28.The sum of two numbers is 25 and their difference is 15. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  30. 30.The sum of two numbers is 56 and their difference is 28. What is the larger number?
  31. 31.The sum of two numbers is 18 and their difference is 12. What is the larger number?
  32. 32.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  33. 33.One number is 4 times another. Their difference is 63. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  35. 35.One number is 2 times another. Their difference is 7. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  37. 37.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  38. 38.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?
  39. 39.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  40. 40.The sum of two numbers is 32 and their difference is 6. What is the larger number?

Answer key

  1. 62
  2. 5
  3. 64
  4. 14
  5. 13
  6. 55
  7. 57
  8. 72
  9. 51
  10. 13
  11. 62
  12. 41
  13. 81
  14. 13
  15. 39
  16. 60
  17. 36
  18. 78
  19. 28
  20. 67
  21. 35
  22. 29
  23. 14
  24. 11
  25. 45
  26. 33
  27. 33
  28. 5
  29. 21
  30. 42
  31. 15
  32. 38
  33. 21
  34. 51
  35. 7
  36. 75
  37. 18
  38. 45
  39. 31
  40. 19

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