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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 425 · 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 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?
  2. 2.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?
  3. 3.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  4. 4.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?
  5. 5.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  6. 6.The sum of two numbers is 73 and their difference is 1. What is the larger number?
  7. 7.One number is 3 times another. Their difference is 28. What is the smaller number?
  8. 8.The sum of 4 consecutive numbers is 238. What is the largest of them?
  9. 9.One number is 4 times another. Their difference is 24. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  11. 11.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  13. 13.One number is 2 times another. Their difference is 17. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  15. 15.One number is 4 times another. Their difference is 96. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  19. 19.The sum of two numbers is 99 and their difference is 81. What is the smaller number?
  20. 20.The sum of two numbers is 157 and their difference is 39. What is the larger number?
  21. 21.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  22. 22.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  23. 23.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  24. 24.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  25. 25.One number is 6 times another. Their difference is 95. What is the smaller number?
  26. 26.The sum of two numbers is 89 and their difference is 17. What is the larger number?
  27. 27.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  28. 28.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  29. 29.One number is 5 times another. Their difference is 92. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  31. 31.The sum of two numbers is 99 and their difference is 5. What is the larger number?
  32. 32.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  33. 33.One number is 4 times another. Their difference is 90. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 105. What is the largest of them?
  35. 35.One number is 6 times another. Their difference is 125. What is the smaller number?
  36. 36.The sum of two numbers is 24 and their difference is 12. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 186. What is the smallest of them?
  38. 38.The sum of 4 consecutive even numbers is 236. What is the largest of them?
  39. 39.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  40. 40.The sum of two numbers is 30 and their difference is 22. What is the larger number?

Answer key

  1. 79
  2. 89
  3. 29
  4. 69
  5. 16
  6. 37
  7. 14
  8. 61
  9. 8
  10. 49
  11. 25
  12. 59
  13. 17
  14. 60
  15. 32
  16. 39
  17. 52
  18. 59
  19. 9
  20. 98
  21. 36
  22. 19
  23. 13
  24. 17
  25. 19
  26. 53
  27. 36
  28. 24
  29. 23
  30. 20
  31. 52
  32. 54
  33. 30
  34. 23
  35. 25
  36. 6
  37. 45
  38. 62
  39. 26
  40. 26

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