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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 414 · 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 even numbers is 42. What is the smallest of them?
  2. 2.The sum of two numbers is 84 and their difference is 50. What is the larger number?
  3. 3.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  4. 4.The sum of two numbers is 42 and their difference is 2. What is the larger number?
  5. 5.The sum of two numbers is 99 and their difference is 97. What is the larger number?
  6. 6.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  7. 7.One number is 6 times another. Their difference is 190. What is the smaller number?
  8. 8.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?
  9. 9.The sum of two numbers is 67 and their difference is 47. What is the larger number?
  10. 10.One number is 3 times another. Their difference is 42. What is the smaller number?
  11. 11.One number is 3 times another. Their difference is 76. What is the smaller number?
  12. 12.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  13. 13.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 82. What is the largest of them?
  15. 15.One number is 3 times another. Their difference is 18. What is the smaller number?
  16. 16.The sum of two numbers is 65 and their difference is 5. What is the larger number?
  17. 17.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?
  18. 18.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?
  19. 19.The sum of 3 consecutive numbers is 54. What is the largest of them?
  20. 20.The sum of 4 consecutive numbers is 50. What is the largest of them?
  21. 21.One number is 2 times another. Their difference is 10. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 35. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 108. What is the largest of them?
  24. 24.The sum of 5 consecutive numbers is 305. What is the largest of them?
  25. 25.The sum of two numbers is 31 and their difference is 21. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 111. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  28. 28.The sum of 4 consecutive even numbers is 204. What is the smallest of them?
  29. 29.The sum of two numbers is 186 and their difference is 4. What is the smaller number?
  30. 30.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  31. 31.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  32. 32.One number is 4 times another. Their difference is 54. What is the smaller number?
  33. 33.One number is 4 times another. Their difference is 9. What is the smaller number?
  34. 34.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  35. 35.One number is 3 times another. Their difference is 80. What is the smaller number?
  36. 36.The sum of two numbers is 70 and their difference is 68. What is the smaller number?
  37. 37.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  38. 38.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  39. 39.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?
  40. 40.The sum of two numbers is 88 and their difference is 58. What is the smaller number?

Answer key

  1. 12
  2. 67
  3. 28
  4. 22
  5. 98
  6. 15
  7. 38
  8. 34
  9. 57
  10. 21
  11. 38
  12. 63
  13. 30
  14. 22
  15. 9
  16. 35
  17. 12
  18. 38
  19. 19
  20. 14
  21. 10
  22. 9
  23. 37
  24. 63
  25. 5
  26. 38
  27. 5
  28. 48
  29. 91
  30. 51
  31. 24
  32. 18
  33. 3
  34. 37
  35. 40
  36. 1
  37. 51
  38. 47
  39. 89
  40. 15

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