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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 57 · 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 6 times another. Their difference is 75. What is the smaller number?
  2. 2.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  3. 3.One number is 6 times another. Their difference is 115. What is the smaller number?
  4. 4.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  5. 5.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  6. 6.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  8. 8.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  9. 9.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?
  10. 10.One number is 4 times another. Their difference is 72. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 208. What is the largest of them?
  12. 12.The sum of two numbers is 115 and their difference is 1. What is the smaller number?
  13. 13.The sum of two numbers is 28 and their difference is 20. What is the smaller number?
  14. 14.One number is 6 times another. Their difference is 25. What is the smaller number?
  15. 15.One number is 2 times another. Their difference is 3. What is the smaller number?
  16. 16.The sum of 4 consecutive numbers is 38. What is the largest of them?
  17. 17.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  18. 18.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  19. 19.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  20. 20.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  21. 21.The sum of 4 consecutive numbers is 54. What is the largest of them?
  22. 22.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  23. 23.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  24. 24.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 24. What is the largest of them?
  26. 26.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  27. 27.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  28. 28.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  29. 29.One number is 2 times another. Their difference is 25. What is the smaller number?
  30. 30.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  31. 31.The sum of two numbers is 56 and their difference is 42. What is the larger number?
  32. 32.The sum of 5 consecutive numbers is 255. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  35. 35.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  36. 36.The sum of 4 consecutive numbers is 134. What is the largest of them?
  37. 37.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?
  38. 38.One number is 5 times another. Their difference is 144. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  40. 40.The sum of 3 consecutive even numbers is 84. What is the largest of them?

Answer key

  1. 15
  2. 65
  3. 23
  4. 35
  5. 37
  6. 9
  7. 30
  8. 51
  9. 57
  10. 24
  11. 55
  12. 57
  13. 4
  14. 5
  15. 3
  16. 11
  17. 74
  18. 24
  19. 80
  20. 63
  21. 15
  22. 19
  23. 16
  24. 69
  25. 9
  26. 75
  27. 56
  28. 47
  29. 25
  30. 41
  31. 49
  32. 53
  33. 36
  34. 20
  35. 52
  36. 35
  37. 89
  38. 36
  39. 81
  40. 30

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