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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 992 · 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 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?
  2. 2.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  3. 3.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?
  4. 4.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  5. 5.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  6. 6.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?
  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 51. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  10. 10.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?
  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 12. When the digits swap places, the number goes up by 54. What is the number?
  13. 13.The sum of 5 consecutive numbers is 310. What is the largest of them?
  14. 14.The sum of two numbers is 85 and their difference is 25. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  16. 16.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  17. 17.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  18. 18.The sum of two numbers is 43 and their difference is 25. What is the smaller number?
  19. 19.The sum of two numbers is 109 and their difference is 71. What is the smaller number?
  20. 20.The sum of 5 consecutive numbers is 210. What is the largest of them?
  21. 21.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  22. 22.One number is 4 times another. Their difference is 66. What is the smaller number?
  23. 23.One number is 4 times another. Their difference is 48. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  25. 25.The sum of 4 consecutive even numbers is 276. What is the largest of them?
  26. 26.The sum of two numbers is 14 and their difference is 8. What is the smaller number?
  27. 27.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?
  28. 28.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  29. 29.The sum of two numbers is 164 and their difference is 14. What is the smaller number?
  30. 30.One number is 5 times another. Their difference is 116. What is the smaller number?
  31. 31.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  32. 32.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  33. 33.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  35. 35.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  36. 36.One number is 5 times another. Their difference is 88. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 24. What is the largest of them?
  38. 38.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  39. 39.The sum of two numbers is 125 and their difference is 3. What is the larger number?
  40. 40.One number is 2 times another. Their difference is 28. What is the smaller number?

Answer key

  1. 35
  2. 43
  3. 45
  4. 36
  5. 65
  6. 67
  7. 23
  8. 16
  9. 47
  10. 69
  11. 79
  12. 39
  13. 64
  14. 30
  15. 16
  16. 59
  17. 84
  18. 9
  19. 19
  20. 44
  21. 67
  22. 22
  23. 16
  24. 43
  25. 72
  26. 3
  27. 13
  28. 57
  29. 75
  30. 29
  31. 58
  32. 38
  33. 27
  34. 48
  35. 51
  36. 22
  37. 9
  38. 71
  39. 64
  40. 28

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