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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 10 · 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.One number is 2 times another. Their difference is 24. What is the smaller number?
  2. 2.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  3. 3.One number is 4 times another. Their difference is 39. What is the smaller number?
  4. 4.The sum of two numbers is 172 and their difference is 22. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 42. What is the largest of them?
  6. 6.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?
  7. 7.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?
  8. 8.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  10. 10.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?
  11. 11.One number is 2 times another. Their difference is 22. What is the smaller number?
  12. 12.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  13. 13.The sum of two numbers is 120 and their difference is 24. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  15. 15.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  16. 16.One number is 6 times another. Their difference is 25. What is the smaller number?
  17. 17.One number is 4 times another. Their difference is 75. What is the smaller number?
  18. 18.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  19. 19.The sum of two numbers is 64 and their difference is 18. What is the larger number?
  20. 20.One number is 2 times another. Their difference is 6. What is the smaller number?
  21. 21.The sum of 4 consecutive numbers is 118. What is the largest of them?
  22. 22.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?
  23. 23.One number is 5 times another. Their difference is 56. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 70. What is the largest of them?
  25. 25.One number is 2 times another. Their difference is 9. What is the smaller number?
  26. 26.One number is 2 times another. Their difference is 17. What is the smaller number?
  27. 27.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  28. 28.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?
  29. 29.The sum of two numbers is 21 and their difference is 13. What is the larger number?
  30. 30.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  31. 31.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  33. 33.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  34. 34.The sum of two numbers is 55 and their difference is 3. What is the smaller number?
  35. 35.One number is 3 times another. Their difference is 6. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  38. 38.One number is 2 times another. Their difference is 33. What is the smaller number?
  39. 39.The sum of two numbers is 34 and their difference is 26. What is the larger number?
  40. 40.The sum of 4 consecutive even numbers is 228. What is the smallest of them?

Answer key

  1. 24
  2. 34
  3. 13
  4. 75
  5. 15
  6. 89
  7. 68
  8. 43
  9. 35
  10. 48
  11. 22
  12. 59
  13. 48
  14. 56
  15. 29
  16. 5
  17. 25
  18. 25
  19. 41
  20. 6
  21. 31
  22. 45
  23. 14
  24. 19
  25. 9
  26. 17
  27. 67
  28. 57
  29. 17
  30. 27
  31. 40
  32. 34
  33. 50
  34. 26
  35. 3
  36. 7
  37. 50
  38. 33
  39. 30
  40. 54

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