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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 19 · 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 4 consecutive numbers is 226. What is the largest of them?
  2. 2.The sum of 4 consecutive numbers is 214. What is the largest of them?
  3. 3.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  4. 4.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  5. 5.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of two numbers is 84 and their difference is 40. What is the larger number?
  9. 9.The sum of two numbers is 170 and their difference is 16. What is the smaller number?
  10. 10.One number is 6 times another. Their difference is 95. What is the smaller number?
  11. 11.The sum of two numbers is 73 and their difference is 17. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  13. 13.One number is 5 times another. Their difference is 132. What is the smaller number?
  14. 14.One number is 4 times another. Their difference is 54. What is the smaller number?
  15. 15.One number is 3 times another. Their difference is 64. What is the smaller number?
  16. 16.One number is 4 times another. Their difference is 108. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 106. What is the largest of them?
  19. 19.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  20. 20.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  21. 21.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?
  22. 22.The sum of two numbers is 49 and their difference is 33. What is the smaller number?
  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 digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  25. 25.The sum of two numbers is 27 and their difference is 3. What is the smaller number?
  26. 26.One number is 5 times another. Their difference is 12. What is the smaller number?
  27. 27.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?
  28. 28.The sum of two numbers is 60 and their difference is 38. What is the smaller number?
  29. 29.One number is 2 times another. Their difference is 9. What is the smaller number?
  30. 30.The sum of two numbers is 62 and their difference is 34. What is the smaller number?
  31. 31.The sum of two numbers is 73 and their difference is 25. What is the smaller number?
  32. 32.One number is 4 times another. Their difference is 81. What is the smaller number?
  33. 33.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  35. 35.One number is 6 times another. Their difference is 185. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  37. 37.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  38. 38.The sum of 3 consecutive numbers is 147. What is the largest of them?
  39. 39.The sum of 4 consecutive even numbers is 172. What is the largest of them?
  40. 40.One number is 5 times another. Their difference is 32. What is the smaller number?

Answer key

  1. 58
  2. 55
  3. 64
  4. 25
  5. 72
  6. 9
  7. 23
  8. 62
  9. 77
  10. 19
  11. 28
  12. 25
  13. 33
  14. 18
  15. 32
  16. 36
  17. 39
  18. 28
  19. 79
  20. 63
  21. 39
  22. 8
  23. 89
  24. 14
  25. 12
  26. 3
  27. 79
  28. 11
  29. 9
  30. 14
  31. 24
  32. 27
  33. 26
  34. 68
  35. 37
  36. 12
  37. 28
  38. 50
  39. 46
  40. 8

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