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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 761 · 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 two numbers is 48 and their difference is 34. What is the larger number?
  2. 2.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  4. 4.The sum of two numbers is 84 and their difference is 32. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  6. 6.The sum of two numbers is 118 and their difference is 62. What is the smaller number?
  7. 7.One number is 4 times another. Their difference is 51. What is the smaller number?
  8. 8.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  9. 9.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?
  10. 10.The sum of two numbers is 80 and their difference is 14. What is the smaller number?
  11. 11.The sum of two numbers is 80 and their difference is 24. What is the larger number?
  12. 12.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  14. 14.The sum of two numbers is 95 and their difference is 27. What is the larger number?
  15. 15.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  16. 16.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  17. 17.One number is 5 times another. Their difference is 124. What is the smaller number?
  18. 18.The sum of 4 consecutive even numbers is 132. What is the largest of them?
  19. 19.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  20. 20.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  21. 21.The sum of 3 consecutive numbers is 144. What is the largest of them?
  22. 22.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  23. 23.The sum of two numbers is 73 and their difference is 25. What is the larger number?
  24. 24.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?
  25. 25.One number is 2 times another. Their difference is 6. What is the smaller number?
  26. 26.One number is 6 times another. Their difference is 20. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 51. What is the largest of them?
  28. 28.One number is 2 times another. Their difference is 37. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 154. What is the largest of them?
  30. 30.One number is 6 times another. Their difference is 195. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 122. What is the largest of them?
  32. 32.The sum of two numbers is 151 and their difference is 17. What is the smaller number?
  33. 33.One number is 6 times another. Their difference is 155. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 72. What is the largest of them?
  35. 35.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  36. 36.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  37. 37.The sum of two numbers is 87 and their difference is 31. What is the larger number?
  38. 38.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  39. 39.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?
  40. 40.The sum of two numbers is 80 and their difference is 72. What is the smaller number?

Answer key

  1. 41
  2. 6
  3. 35
  4. 26
  5. 19
  6. 28
  7. 17
  8. 24
  9. 36
  10. 33
  11. 52
  12. 45
  13. 31
  14. 61
  15. 25
  16. 57
  17. 31
  18. 36
  19. 28
  20. 23
  21. 49
  22. 50
  23. 49
  24. 14
  25. 6
  26. 4
  27. 18
  28. 37
  29. 40
  30. 39
  31. 32
  32. 67
  33. 31
  34. 25
  35. 32
  36. 31
  37. 59
  38. 68
  39. 25
  40. 4

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