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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 641 · 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 5 consecutive numbers is 190. What is the largest of them?
  2. 2.One number is 4 times another. Their difference is 45. What is the smaller number?
  3. 3.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?
  4. 4.One number is 4 times another. Their difference is 78. What is the smaller number?
  5. 5.The sum of 5 consecutive numbers is 230. What is the largest of them?
  6. 6.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  7. 7.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  8. 8.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  9. 9.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  10. 10.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  11. 11.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?
  12. 12.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?
  13. 13.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 185. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 75. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  17. 17.One number is 2 times another. Their difference is 34. What is the smaller number?
  18. 18.One number is 4 times another. Their difference is 93. What is the smaller number?
  19. 19.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?
  20. 20.The sum of two numbers is 68 and their difference is 12. What is the smaller number?
  21. 21.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  23. 23.One number is 5 times another. Their difference is 16. What is the smaller number?
  24. 24.The sum of two numbers is 116 and their difference is 12. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 310. What is the largest of them?
  26. 26.The sum of 5 consecutive numbers is 140. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  28. 28.One number is 6 times another. Their difference is 15. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 81. What is the largest of them?
  31. 31.One number is 4 times another. Their difference is 30. What is the smaller number?
  32. 32.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  33. 33.The sum of two numbers is 112 and their difference is 10. What is the larger number?
  34. 34.The sum of 5 consecutive numbers is 180. What is the largest of them?
  35. 35.The sum of two numbers is 71 and their difference is 21. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  37. 37.One number is 3 times another. Their difference is 16. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  39. 39.The sum of two numbers is 128 and their difference is 26. What is the smaller 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. 40
  2. 15
  3. 67
  4. 26
  5. 48
  6. 27
  7. 69
  8. 66
  9. 8
  10. 63
  11. 79
  12. 89
  13. 49
  14. 39
  15. 24
  16. 23
  17. 34
  18. 31
  19. 13
  20. 28
  21. 84
  22. 6
  23. 4
  24. 52
  25. 64
  26. 30
  27. 7
  28. 3
  29. 77
  30. 28
  31. 10
  32. 6
  33. 61
  34. 38
  35. 25
  36. 39
  37. 8
  38. 5
  39. 51
  40. 16

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