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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 51 · 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 3 consecutive even numbers is 228. What is the largest of them?
  2. 2.One number is 3 times another. Their difference is 54. What is the smaller number?
  3. 3.The sum of two numbers is 55 and their difference is 9. What is the smaller number?
  4. 4.One number is 5 times another. Their difference is 76. What is the smaller number?
  5. 5.The sum of two numbers is 59 and their difference is 1. What is the larger number?
  6. 6.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 178. What is the largest of them?
  8. 8.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  9. 9.The sum of two numbers is 134 and their difference is 6. What is the larger number?
  10. 10.One number is 5 times another. Their difference is 20. What is the smaller number?
  11. 11.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  12. 12.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  13. 13.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  14. 14.The sum of two numbers is 60 and their difference is 56. What is the smaller number?
  15. 15.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  16. 16.One number is 6 times another. Their difference is 115. What is the smaller number?
  17. 17.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  18. 18.One number is 4 times another. Their difference is 63. What is the smaller number?
  19. 19.One number is 2 times another. Their difference is 17. What is the smaller number?
  20. 20.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  21. 21.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  22. 22.The sum of 4 consecutive numbers is 226. What is the smallest of them?
  23. 23.One number is 4 times another. Their difference is 36. What is the smaller number?
  24. 24.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?
  25. 25.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?
  26. 26.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?
  27. 27.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  28. 28.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  30. 30.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?
  31. 31.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  32. 32.One number is 6 times another. Their difference is 75. What is the smaller number?
  33. 33.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?
  34. 34.One number is 2 times another. Their difference is 33. What is the smaller number?
  35. 35.One number is 4 times another. Their difference is 18. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 60. What is the smaller number?
  37. 37.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 21. What is the largest of them?
  39. 39.The sum of 4 consecutive numbers is 226. What is the largest of them?
  40. 40.One number is 3 times another. Their difference is 6. What is the smaller number?

Answer key

  1. 78
  2. 27
  3. 23
  4. 19
  5. 30
  6. 26
  7. 46
  8. 61
  9. 70
  10. 5
  11. 33
  12. 23
  13. 38
  14. 2
  15. 49
  16. 23
  17. 21
  18. 21
  19. 17
  20. 32
  21. 14
  22. 55
  23. 12
  24. 37
  25. 79
  26. 48
  27. 26
  28. 18
  29. 35
  30. 78
  31. 19
  32. 15
  33. 13
  34. 33
  35. 6
  36. 30
  37. 77
  38. 8
  39. 58
  40. 3

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