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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 491 · 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 4 times another. Their difference is 39. What is the smaller number?
  2. 2.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?
  3. 3.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  4. 4.The sum of two numbers is 18 and their difference is 8. What is the smaller number?
  5. 5.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?
  6. 6.The sum of two numbers is 38 and their difference is 18. What is the smaller number?
  7. 7.One number is 6 times another. Their difference is 50. What is the smaller number?
  8. 8.The sum of two numbers is 72 and their difference is 22. What is the larger number?
  9. 9.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  10. 10.One number is 4 times another. Their difference is 75. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  12. 12.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 230. What is the largest of them?
  14. 14.One number is 3 times another. Their difference is 66. What is the smaller number?
  15. 15.The sum of two numbers is 71 and their difference is 39. What is the smaller number?
  16. 16.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
  20. 20.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  21. 21.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  22. 22.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  23. 23.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?
  24. 24.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  26. 26.The sum of two numbers is 102 and their difference is 86. What is the smaller number?
  27. 27.The sum of two numbers is 48 and their difference is 34. What is the smaller number?
  28. 28.One number is 2 times another. Their difference is 8. What is the smaller number?
  29. 29.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  30. 30.One number is 5 times another. Their difference is 96. What is the smaller number?
  31. 31.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  32. 32.One number is 4 times another. Their difference is 78. What is the smaller number?
  33. 33.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?
  34. 34.The sum of 4 consecutive even numbers is 260. What is the largest of them?
  35. 35.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  36. 36.The sum of two numbers is 96 and their difference is 38. What is the smaller number?
  37. 37.One number is 4 times another. Their difference is 15. What is the smaller number?
  38. 38.The sum of two numbers is 58 and their difference is 26. What is the smaller number?
  39. 39.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  40. 40.The sum of two numbers is 25 and their difference is 17. What is the smaller number?

Answer key

  1. 13
  2. 12
  3. 33
  4. 5
  5. 23
  6. 10
  7. 10
  8. 47
  9. 79
  10. 25
  11. 22
  12. 54
  13. 59
  14. 33
  15. 16
  16. 75
  17. 10
  18. 16
  19. 39
  20. 45
  21. 48
  22. 49
  23. 89
  24. 45
  25. 7
  26. 8
  27. 7
  28. 8
  29. 30
  30. 24
  31. 59
  32. 26
  33. 13
  34. 68
  35. 36
  36. 29
  37. 5
  38. 16
  39. 72
  40. 4

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