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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 49 · 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 numbers is 66. What is the smallest of them?
  2. 2.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  3. 3.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  4. 4.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?
  5. 5.One number is 2 times another. Their difference is 34. What is the smaller number?
  6. 6.One number is 6 times another. Their difference is 160. What is the smaller number?
  7. 7.One number is 6 times another. Their difference is 95. What is the smaller number?
  8. 8.The sum of two numbers is 90 and their difference is 60. What is the smaller number?
  9. 9.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?
  10. 10.One number is 4 times another. Their difference is 51. What is the smaller number?
  11. 11.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?
  12. 12.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  13. 13.The sum of two numbers is 105 and their difference is 3. What is the larger number?
  14. 14.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?
  15. 15.One number is 6 times another. Their difference is 30. What is the smaller number?
  16. 16.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?
  17. 17.One number is 3 times another. Their difference is 26. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  19. 19.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  20. 20.The sum of two numbers is 16 and their difference is 8. What is the larger number?
  21. 21.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  22. 22.One number is 6 times another. Their difference is 25. What is the smaller number?
  23. 23.One number is 6 times another. Their difference is 150. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 150. What is the largest of them?
  25. 25.The sum of 4 consecutive even numbers is 180. What is the largest of them?
  26. 26.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  27. 27.One number is 2 times another. Their difference is 8. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 105. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 57. What is the largest of them?
  31. 31.One number is 5 times another. Their difference is 116. What is the smaller number?
  32. 32.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 138. What is the largest of them?
  34. 34.One number is 5 times another. Their difference is 124. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  36. 36.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  37. 37.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 30. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 202. What is the smallest of them?

Answer key

  1. 21
  2. 28
  3. 38
  4. 79
  5. 34
  6. 32
  7. 19
  8. 15
  9. 46
  10. 17
  11. 26
  12. 30
  13. 54
  14. 69
  15. 6
  16. 59
  17. 13
  18. 40
  19. 16
  20. 12
  21. 42
  22. 5
  23. 30
  24. 32
  25. 48
  26. 27
  27. 8
  28. 73
  29. 36
  30. 20
  31. 29
  32. 27
  33. 47
  34. 31
  35. 49
  36. 34
  37. 10
  38. 39
  39. 11
  40. 49

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