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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 454 · 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.The sum of two numbers is 42 and their difference is 10. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  3. 3.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  4. 4.One number is 3 times another. Their difference is 30. What is the smaller number?
  5. 5.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  6. 6.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  7. 7.One number is 5 times another. Their difference is 92. What is the smaller number?
  8. 8.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 45. What is the largest of them?
  10. 10.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?
  11. 11.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  12. 12.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 182. What is the largest of them?
  14. 14.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 255. 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 5 consecutive numbers is 290. What is the largest of them?
  19. 19.The sum of two numbers is 47 and their difference is 9. What is the smaller number?
  20. 20.One number is 2 times another. Their difference is 4. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  22. 22.The sum of two numbers is 73 and their difference is 17. What is the larger number?
  23. 23.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  24. 24.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  25. 25.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  26. 26.The sum of two numbers is 18 and their difference is 10. What is the smaller number?
  27. 27.The sum of two numbers is 46 and their difference is 16. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  30. 30.One number is 4 times another. Their difference is 105. What is the smaller number?
  31. 31.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  32. 32.One number is 6 times another. Their difference is 110. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  34. 34.The sum of two numbers is 111 and their difference is 51. What is the smaller number?
  35. 35.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?
  36. 36.The sum of 5 consecutive numbers is 175. What is the largest of them?
  37. 37.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?
  38. 38.The sum of two numbers is 81 and their difference is 3. What is the larger number?
  39. 39.The sum of 5 consecutive numbers is 295. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 26. What is the smallest of them?

Answer key

  1. 16
  2. 57
  3. 23
  4. 15
  5. 81
  6. 35
  7. 23
  8. 54
  9. 16
  10. 89
  11. 36
  12. 36
  13. 47
  14. 66
  15. 51
  16. 49
  17. 9
  18. 60
  19. 19
  20. 4
  21. 45
  22. 45
  23. 39
  24. 43
  25. 23
  26. 4
  27. 15
  28. 27
  29. 16
  30. 35
  31. 76
  32. 22
  33. 19
  34. 30
  35. 67
  36. 37
  37. 38
  38. 42
  39. 61
  40. 5

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