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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 395 · 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.One number is 6 times another. Their difference is 30. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 235. What is the largest of them?
  3. 3.The sum of two numbers is 43 and their difference is 31. What is the larger number?
  4. 4.One number is 2 times another. Their difference is 11. What is the smaller number?
  5. 5.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?
  6. 6.One number is 5 times another. Their difference is 108. What is the smaller number?
  7. 7.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  8. 8.One number is 4 times another. Their difference is 81. What is the smaller number?
  9. 9.The sum of two numbers is 21 and their difference is 1. What is the larger number?
  10. 10.The sum of 4 consecutive numbers is 218. What is the largest of them?
  11. 11.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  12. 12.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?
  13. 13.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  14. 14.The sum of two numbers is 118 and their difference is 34. What is the smaller number?
  15. 15.The sum of two numbers is 163 and their difference is 23. What is the smaller number?
  16. 16.The sum of two numbers is 31 and their difference is 3. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 42. What is the largest of them?
  18. 18.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  19. 19.One number is 2 times another. Their difference is 33. What is the smaller number?
  20. 20.The sum of two numbers is 37 and their difference is 27. What is the smaller number?
  21. 21.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  22. 22.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?
  23. 23.One number is 4 times another. Their difference is 120. What is the smaller number?
  24. 24.The sum of two numbers is 111 and their difference is 15. What is the larger number?
  25. 25.The sum of two numbers is 61 and their difference is 31. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  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 13. When the digits swap places, the number goes up by 45. What is the number?
  29. 29.One number is 6 times another. Their difference is 125. What is the smaller number?
  30. 30.The sum of two numbers is 134 and their difference is 52. What is the larger number?
  31. 31.One number is 3 times another. Their difference is 70. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  33. 33.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  34. 34.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  35. 35.One number is 6 times another. Their difference is 90. What is the smaller number?
  36. 36.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?
  37. 37.The sum of two numbers is 93 and their difference is 49. What is the larger number?
  38. 38.The sum of 3 consecutive numbers is 162. What is the largest of them?
  39. 39.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  40. 40.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?

Answer key

  1. 6
  2. 49
  3. 37
  4. 11
  5. 67
  6. 27
  7. 30
  8. 27
  9. 11
  10. 56
  11. 36
  12. 12
  13. 18
  14. 42
  15. 70
  16. 14
  17. 15
  18. 37
  19. 33
  20. 5
  21. 18
  22. 26
  23. 40
  24. 63
  25. 15
  26. 36
  27. 37
  28. 49
  29. 25
  30. 93
  31. 35
  32. 34
  33. 56
  34. 55
  35. 18
  36. 89
  37. 71
  38. 55
  39. 31
  40. 35

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