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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 799 · 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 235. What is the largest of them?
  2. 2.One number is 3 times another. Their difference is 42. What is the smaller number?
  3. 3.The sum of two numbers is 37 and their difference is 11. What is the larger number?
  4. 4.One number is 2 times another. Their difference is 21. What is the smaller number?
  5. 5.One number is 2 times another. Their difference is 34. What is the smaller number?
  6. 6.The sum of two numbers is 50 and their difference is 32. What is the larger number?
  7. 7.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  8. 8.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
  9. 9.One number is 6 times another. Their difference is 185. What is the smaller number?
  10. 10.The sum of two numbers is 178 and their difference is 2. What is the smaller number?
  11. 11.The sum of two numbers is 59 and their difference is 7. What is the smaller number?
  12. 12.One number is 4 times another. Their difference is 51. What is the smaller number?
  13. 13.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  14. 14.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?
  15. 15.One number is 6 times another. Their difference is 95. What is the smaller number?
  16. 16.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  17. 17.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  18. 18.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  19. 19.One number is 3 times another. Their difference is 28. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  21. 21.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  22. 22.One number is 4 times another. Their difference is 27. What is the smaller number?
  23. 23.The sum of two numbers is 180 and their difference is 8. What is the smaller number?
  24. 24.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  25. 25.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?
  26. 26.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?
  27. 27.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  28. 28.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?
  29. 29.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 135. What is the largest of them?
  31. 31.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  32. 32.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  33. 33.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  34. 34.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  35. 35.One number is 6 times another. Their difference is 115. What is the smaller number?
  36. 36.One number is 4 times another. Their difference is 33. What is the smaller number?
  37. 37.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  38. 38.One number is 2 times another. Their difference is 29. What is the smaller number?
  39. 39.The sum of two numbers is 29 and their difference is 1. What is the smaller number?
  40. 40.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?

Answer key

  1. 49
  2. 21
  3. 24
  4. 21
  5. 34
  6. 41
  7. 15
  8. 46
  9. 37
  10. 88
  11. 26
  12. 17
  13. 41
  14. 78
  15. 19
  16. 5
  17. 48
  18. 39
  19. 14
  20. 22
  21. 39
  22. 9
  23. 86
  24. 54
  25. 89
  26. 25
  27. 35
  28. 67
  29. 48
  30. 46
  31. 25
  32. 9
  33. 16
  34. 9
  35. 23
  36. 11
  37. 76
  38. 29
  39. 14
  40. 45

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