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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 581 · 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 two numbers is 99 and their difference is 33. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
  3. 3.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?
  4. 4.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  5. 5.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  7. 7.One number is 4 times another. Their difference is 84. What is the smaller number?
  8. 8.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?
  9. 9.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  10. 10.One number is 4 times another. Their difference is 18. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 235. What is the largest of them?
  12. 12.The sum of 3 consecutive even numbers is 138. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  14. 14.One number is 6 times another. Their difference is 155. What is the smaller number?
  15. 15.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  16. 16.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  17. 17.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  18. 18.The sum of two numbers is 73 and their difference is 33. What is the larger number?
  19. 19.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  20. 20.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?
  21. 21.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  22. 22.One number is 2 times another. Their difference is 9. What is the smaller number?
  23. 23.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  24. 24.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  25. 25.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  27. 27.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  28. 28.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  29. 29.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  30. 30.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?
  31. 31.The sum of 3 consecutive numbers is 54. What is the largest of them?
  32. 32.One number is 6 times another. Their difference is 125. What is the smaller number?
  33. 33.The sum of two numbers is 17 and their difference is 5. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 86. What is the largest of them?
  35. 35.One number is 2 times another. Their difference is 13. What is the smaller number?
  36. 36.The sum of two numbers is 36 and their difference is 16. What is the larger number?
  37. 37.The sum of two numbers is 70 and their difference is 8. What is the larger number?
  38. 38.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  39. 39.The sum of 5 consecutive numbers is 290. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 238. What is the largest of them?

Answer key

  1. 33
  2. 32
  3. 89
  4. 41
  5. 69
  6. 20
  7. 28
  8. 67
  9. 26
  10. 6
  11. 49
  12. 48
  13. 47
  14. 31
  15. 47
  16. 58
  17. 38
  18. 53
  19. 13
  20. 45
  21. 26
  22. 9
  23. 45
  24. 36
  25. 5
  26. 65
  27. 9
  28. 25
  29. 15
  30. 26
  31. 19
  32. 25
  33. 6
  34. 23
  35. 13
  36. 26
  37. 39
  38. 21
  39. 60
  40. 61

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