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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 347 · 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 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?
  2. 2.One number is 6 times another. Their difference is 30. What is the smaller number?
  3. 3.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?
  4. 4.The sum of 3 consecutive numbers is 33. What is the largest of them?
  5. 5.The sum of 3 consecutive even numbers is 138. What is the largest of them?
  6. 6.The sum of 4 consecutive numbers is 54. What is the largest of them?
  7. 7.The sum of two numbers is 166 and their difference is 4. What is the larger number?
  8. 8.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?
  9. 9.One number is 6 times another. Their difference is 195. What is the smaller number?
  10. 10.One number is 4 times another. Their difference is 24. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  12. 12.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  13. 13.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  14. 14.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  15. 15.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  16. 16.One number is 5 times another. Their difference is 32. What is the smaller number?
  17. 17.The sum of two numbers is 103 and their difference is 1. What is the larger number?
  18. 18.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  19. 19.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  20. 20.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  21. 21.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  22. 22.The sum of two numbers is 101 and their difference is 19. What is the smaller number?
  23. 23.One number is 5 times another. Their difference is 28. What is the smaller number?
  24. 24.The sum of two numbers is 13 and their difference is 7. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 242. What is the largest of them?
  26. 26.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?
  27. 27.One number is 5 times another. Their difference is 152. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  29. 29.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  30. 30.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  31. 31.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  32. 32.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  35. 35.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 105. What is the largest of them?
  37. 37.One number is 4 times another. Their difference is 99. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  39. 39.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?
  40. 40.The sum of 3 consecutive numbers is 126. What is the largest of them?

Answer key

  1. 89
  2. 6
  3. 69
  4. 12
  5. 48
  6. 15
  7. 85
  8. 78
  9. 39
  10. 8
  11. 37
  12. 14
  13. 73
  14. 53
  15. 16
  16. 8
  17. 52
  18. 20
  19. 23
  20. 15
  21. 8
  22. 41
  23. 7
  24. 3
  25. 62
  26. 28
  27. 38
  28. 59
  29. 15
  30. 17
  31. 23
  32. 13
  33. 67
  34. 55
  35. 70
  36. 36
  37. 33
  38. 43
  39. 36
  40. 43

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