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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 47 · 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 78. What is the largest of them?
  2. 2.The sum of two numbers is 91 and their difference is 39. What is the larger number?
  3. 3.One number is 2 times another. Their difference is 35. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  5. 5.The sum of two numbers is 81 and their difference is 13. What is the larger number?
  6. 6.The sum of two numbers is 36 and their difference is 26. What is the smaller number?
  7. 7.The sum of two numbers is 65 and their difference is 7. What is the smaller number?
  8. 8.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  9. 9.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  11. 11.One number is 5 times another. Their difference is 152. What is the smaller number?
  12. 12.One number is 5 times another. Their difference is 116. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 50. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  15. 15.One number is 2 times another. Their difference is 11. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 36. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 250. What is the largest of them?
  21. 21.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  22. 22.One number is 6 times another. Their difference is 80. What is the smaller number?
  23. 23.The sum of two numbers is 63 and their difference is 7. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  26. 26.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  27. 27.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?
  28. 28.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  29. 29.One number is 3 times another. Their difference is 40. What is the smaller number?
  30. 30.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  31. 31.The sum of 4 consecutive numbers is 226. What is the smallest of them?
  32. 32.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  33. 33.One number is 3 times another. Their difference is 26. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 210. What is the largest of them?
  35. 35.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?
  36. 36.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  37. 37.The sum of two numbers is 98 and their difference is 90. What is the smaller number?
  38. 38.The sum of two numbers is 106 and their difference is 90. What is the larger number?
  39. 39.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?
  40. 40.The sum of 3 consecutive even numbers is 114. What is the largest of them?

Answer key

  1. 21
  2. 65
  3. 35
  4. 12
  5. 47
  6. 5
  7. 29
  8. 35
  9. 49
  10. 37
  11. 38
  12. 29
  13. 14
  14. 5
  15. 11
  16. 19
  17. 78
  18. 81
  19. 13
  20. 52
  21. 19
  22. 16
  23. 28
  24. 36
  25. 76
  26. 25
  27. 69
  28. 41
  29. 20
  30. 11
  31. 55
  32. 68
  33. 13
  34. 54
  35. 47
  36. 66
  37. 4
  38. 98
  39. 89
  40. 40

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