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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 653 · 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).

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  1. 1.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?
  2. 2.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?
  3. 3.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  4. 4.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  6. 6.The sum of two numbers is 115 and their difference is 41. What is the larger number?
  7. 7.The sum of 3 consecutive numbers is 99. What is the largest of them?
  8. 8.One number is 3 times another. Their difference is 8. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  11. 11.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  12. 12.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?
  13. 13.The sum of two numbers is 82 and their difference is 12. What is the larger number?
  14. 14.One number is 6 times another. Their difference is 20. What is the smaller number?
  15. 15.The sum of two numbers is 94 and their difference is 42. What is the smaller number?
  16. 16.One number is 2 times another. Their difference is 14. What is the smaller number?
  17. 17.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 155. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 27. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  21. 21.One number is 5 times another. Their difference is 116. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 111. What is the largest of them?
  23. 23.One number is 5 times another. Their difference is 132. What is the smaller number?
  24. 24.The sum of two numbers is 157 and their difference is 25. What is the smaller number?
  25. 25.One number is 2 times another. Their difference is 24. What is the smaller number?
  26. 26.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  27. 27.One number is 3 times another. Their difference is 40. What is the smaller number?
  28. 28.The sum of 4 consecutive even numbers is 236. What is the largest of them?
  29. 29.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 144. What is the largest of them?
  32. 32.One number is 5 times another. Their difference is 76. What is the smaller number?
  33. 33.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  34. 34.One number is 2 times another. Their difference is 30. What is the smaller number?
  35. 35.The sum of 4 consecutive numbers is 170. What is the largest of them?
  36. 36.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  37. 37.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  38. 38.The sum of two numbers is 98 and their difference is 46. What is the larger number?
  39. 39.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?
  40. 40.The sum of 5 consecutive numbers is 80. What is the largest of them?

Answer key

  1. 34
  2. 59
  3. 59
  4. 11
  5. 33
  6. 78
  7. 34
  8. 4
  9. 60
  10. 30
  11. 7
  12. 26
  13. 47
  14. 4
  15. 26
  16. 14
  17. 19
  18. 33
  19. 10
  20. 26
  21. 29
  22. 38
  23. 33
  24. 66
  25. 24
  26. 38
  27. 20
  28. 62
  29. 10
  30. 30
  31. 49
  32. 19
  33. 24
  34. 30
  35. 44
  36. 16
  37. 67
  38. 72
  39. 57
  40. 18

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