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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 376 · 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 5 consecutive numbers is 105. What is the smallest of them?
  2. 2.One number is 5 times another. Their difference is 104. What is the smaller number?
  3. 3.One number is 2 times another. Their difference is 15. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  5. 5.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  7. 7.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  8. 8.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?
  9. 9.The sum of two numbers is 19 and their difference is 9. What is the smaller number?
  10. 10.One number is 4 times another. Their difference is 114. What is the smaller number?
  11. 11.The sum of two numbers is 95 and their difference is 83. What is the smaller number?
  12. 12.The sum of two numbers is 64 and their difference is 4. What is the smaller number?
  13. 13.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  14. 14.The sum of two numbers is 39 and their difference is 37. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  16. 16.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?
  17. 17.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?
  18. 18.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?
  19. 19.The sum of two numbers is 52 and their difference is 10. What is the larger number?
  20. 20.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  21. 21.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  22. 22.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  23. 23.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  24. 24.The sum of 5 consecutive numbers is 235. What is the largest of them?
  25. 25.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  26. 26.One number is 5 times another. Their difference is 128. What is the smaller number?
  27. 27.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  28. 28.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  29. 29.One number is 6 times another. Their difference is 110. What is the smaller number?
  30. 30.One number is 4 times another. Their difference is 102. What is the smaller number?
  31. 31.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  32. 32.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?
  33. 33.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  34. 34.The sum of two numbers is 101 and their difference is 35. What is the larger number?
  35. 35.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  36. 36.One number is 6 times another. Their difference is 150. What is the smaller number?
  37. 37.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  38. 38.The sum of two numbers is 36 and their difference is 18. What is the larger number?
  39. 39.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  40. 40.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?

Answer key

  1. 19
  2. 26
  3. 15
  4. 34
  5. 5
  6. 58
  7. 23
  8. 79
  9. 5
  10. 38
  11. 6
  12. 30
  13. 57
  14. 1
  15. 27
  16. 68
  17. 37
  18. 78
  19. 31
  20. 49
  21. 28
  22. 31
  23. 18
  24. 49
  25. 77
  26. 32
  27. 70
  28. 6
  29. 22
  30. 34
  31. 14
  32. 56
  33. 27
  34. 68
  35. 37
  36. 30
  37. 46
  38. 27
  39. 59
  40. 34

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