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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 259 · 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 11. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  3. 3.One number is 6 times another. Their difference is 125. What is the smaller number?
  4. 4.The sum of two numbers is 82 and their difference is 28. What is the smaller number?
  5. 5.The sum of two numbers is 45 and their difference is 15. What is the larger number?
  6. 6.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  8. 8.The sum of two numbers is 183 and their difference is 7. What is the larger number?
  9. 9.One number is 2 times another. Their difference is 38. What is the smaller number?
  10. 10.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  11. 11.The sum of two numbers is 36 and their difference is 16. What is the smaller number?
  12. 12.One number is 4 times another. Their difference is 84. What is the smaller number?
  13. 13.One number is 6 times another. Their difference is 170. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  15. 15.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  16. 16.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  17. 17.The sum of two numbers is 53 and their difference is 19. What is the larger number?
  18. 18.The sum of 4 consecutive numbers is 238. What is the largest of them?
  19. 19.The sum of 4 consecutive numbers is 222. What is the largest of them?
  20. 20.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?
  21. 21.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  22. 22.One number is 2 times another. Their difference is 24. What is the smaller number?
  23. 23.One number is 3 times another. Their difference is 60. What is the smaller number?
  24. 24.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?
  25. 25.The sum of two numbers is 23 and their difference is 7. What is the smaller number?
  26. 26.One number is 5 times another. Their difference is 84. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  28. 28.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  29. 29.The sum of 5 consecutive numbers is 310. What is the smallest of them?
  30. 30.The sum of 5 consecutive numbers is 90. What is the largest of them?
  31. 31.One number is 6 times another. Their difference is 50. What is the smaller number?
  32. 32.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?
  33. 33.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?
  34. 34.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  35. 35.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  36. 36.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 45. What is the largest of them?
  39. 39.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  40. 40.The sum of 3 consecutive odd numbers is 129. What is the largest of them?

Answer key

  1. 56
  2. 43
  3. 25
  4. 27
  5. 30
  6. 70
  7. 42
  8. 95
  9. 38
  10. 57
  11. 10
  12. 28
  13. 34
  14. 49
  15. 16
  16. 57
  17. 36
  18. 61
  19. 57
  20. 13
  21. 75
  22. 24
  23. 30
  24. 47
  25. 8
  26. 21
  27. 27
  28. 78
  29. 60
  30. 20
  31. 10
  32. 25
  33. 89
  34. 25
  35. 68
  36. 32
  37. 5
  38. 16
  39. 35
  40. 45

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