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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 995 · 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 5 consecutive numbers is 100. What is the smallest of them?
  2. 2.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  3. 3.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  4. 4.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  5. 5.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  6. 6.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  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.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  9. 9.One number is 4 times another. Their difference is 21. What is the smaller number?
  10. 10.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  11. 11.The sum of two numbers is 31 and their difference is 11. What is the larger number?
  12. 12.The sum of 4 consecutive numbers is 130. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  14. 14.One number is 2 times another. Their difference is 39. What is the smaller number?
  15. 15.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?
  16. 16.The sum of 4 consecutive numbers is 114. What is the largest of them?
  17. 17.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  20. 20.The sum of two numbers is 30 and their difference is 12. What is the larger number?
  21. 21.The sum of 5 consecutive numbers is 285. What is the largest of them?
  22. 22.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
  23. 23.One number is 2 times another. Their difference is 5. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  25. 25.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  26. 26.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  27. 27.One number is 2 times another. Their difference is 28. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  29. 29.The sum of 3 consecutive numbers is 159. What is the largest of them?
  30. 30.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  31. 31.One number is 2 times another. Their difference is 7. What is the smaller number?
  32. 32.One number is 2 times another. Their difference is 36. What is the smaller number?
  33. 33.The sum of 4 consecutive numbers is 134. What is the largest of them?
  34. 34.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?
  35. 35.One number is 6 times another. Their difference is 135. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  37. 37.One number is 6 times another. Their difference is 100. What is the smaller number?
  38. 38.The sum of two numbers is 154 and their difference is 16. What is the smaller number?
  39. 39.One number is 2 times another. Their difference is 13. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 171. What is the largest of them?

Answer key

  1. 18
  2. 22
  3. 15
  4. 47
  5. 82
  6. 22
  7. 89
  8. 14
  9. 7
  10. 44
  11. 21
  12. 34
  13. 25
  14. 39
  15. 69
  16. 30
  17. 16
  18. 50
  19. 37
  20. 21
  21. 59
  22. 32
  23. 5
  24. 68
  25. 12
  26. 8
  27. 28
  28. 58
  29. 54
  30. 6
  31. 7
  32. 36
  33. 35
  34. 78
  35. 27
  36. 22
  37. 20
  38. 69
  39. 13
  40. 59

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