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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 62 · 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 4 consecutive numbers is 46. What is the largest of them?
  2. 2.One number is 3 times another. Their difference is 52. What is the smaller number?
  3. 3.The sum of 5 consecutive numbers is 40. What is the largest of them?
  4. 4.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.The sum of two numbers is 163 and their difference is 29. What is the larger number?
  6. 6.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  7. 7.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  8. 8.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  9. 9.The sum of 4 consecutive numbers is 118. What is the smallest of them?
  10. 10.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?
  11. 11.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?
  12. 12.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?
  13. 13.The sum of two numbers is 37 and their difference is 27. What is the smaller number?
  14. 14.One number is 6 times another. Their difference is 150. What is the smaller number?
  15. 15.The sum of two numbers is 17 and their difference is 15. What is the larger number?
  16. 16.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  17. 17.The sum of two numbers is 45 and their difference is 11. What is the smaller number?
  18. 18.One number is 4 times another. Their difference is 36. What is the smaller number?
  19. 19.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?
  20. 20.The sum of two numbers is 17 and their difference is 3. What is the smaller number?
  21. 21.One number is 5 times another. Their difference is 40. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  23. 23.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?
  24. 24.One number is 6 times another. Their difference is 145. What is the smaller number?
  25. 25.The sum of two numbers is 60 and their difference is 36. What is the larger number?
  26. 26.One number is 6 times another. Their difference is 160. What is the smaller number?
  27. 27.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  28. 28.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?
  29. 29.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 156. What is the largest of them?
  31. 31.The sum of 4 consecutive numbers is 198. What is the smallest of them?
  32. 32.The sum of two numbers is 50 and their difference is 26. What is the smaller number?
  33. 33.The sum of two numbers is 25 and their difference is 7. What is the smaller number?
  34. 34.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  35. 35.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?
  36. 36.The sum of 3 consecutive numbers is 42. What is the largest of them?
  37. 37.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  40. 40.One number is 6 times another. Their difference is 190. What is the smaller number?

Answer key

  1. 13
  2. 26
  3. 10
  4. 35
  5. 96
  6. 59
  7. 22
  8. 26
  9. 28
  10. 79
  11. 67
  12. 46
  13. 5
  14. 30
  15. 16
  16. 40
  17. 17
  18. 12
  19. 16
  20. 7
  21. 10
  22. 51
  23. 15
  24. 29
  25. 48
  26. 32
  27. 37
  28. 13
  29. 43
  30. 53
  31. 48
  32. 12
  33. 9
  34. 81
  35. 29
  36. 15
  37. 6
  38. 18
  39. 22
  40. 38

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