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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 543 · 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).

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  1. 1.One number is 2 times another. Their difference is 28. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 268. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  4. 4.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  5. 5.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  6. 6.One number is 6 times another. Their difference is 155. What is the smaller number?
  7. 7.The sum of two numbers is 91 and their difference is 37. What is the larger number?
  8. 8.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  9. 9.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  10. 10.The sum of two numbers is 108 and their difference is 78. What is the larger number?
  11. 11.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  12. 12.One number is 2 times another. Their difference is 10. What is the smaller number?
  13. 13.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  14. 14.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  17. 17.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 24. What is the largest of them?
  19. 19.The sum of two numbers is 133 and their difference is 17. What is the smaller number?
  20. 20.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  21. 21.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?
  22. 22.The sum of 3 consecutive numbers is 27. What is the largest of them?
  23. 23.The sum of two numbers is 72 and their difference is 60. What is the smaller number?
  24. 24.The sum of two numbers is 38 and their difference is 26. What is the larger number?
  25. 25.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  26. 26.The sum of two numbers is 157 and their difference is 23. What is the larger number?
  27. 27.The sum of two numbers is 144 and their difference is 20. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  29. 29.One number is 4 times another. Their difference is 78. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  31. 31.One number is 3 times another. Their difference is 10. What is the smaller number?
  32. 32.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?
  33. 33.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  34. 34.The sum of 5 consecutive numbers is 50. What is the largest of them?
  35. 35.One number is 4 times another. Their difference is 27. What is the smaller number?
  36. 36.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?
  37. 37.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  38. 38.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  39. 39.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  40. 40.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?

Answer key

  1. 28
  2. 64
  3. 59
  4. 23
  5. 35
  6. 31
  7. 64
  8. 35
  9. 66
  10. 93
  11. 41
  12. 10
  13. 57
  14. 38
  15. 56
  16. 13
  17. 9
  18. 9
  19. 58
  20. 38
  21. 78
  22. 10
  23. 6
  24. 32
  25. 29
  26. 90
  27. 62
  28. 13
  29. 26
  30. 9
  31. 5
  32. 89
  33. 5
  34. 12
  35. 9
  36. 69
  37. 28
  38. 71
  39. 39
  40. 16

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