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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 392 · 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.One number is 4 times another. Their difference is 69. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 45. What is the largest of them?
  3. 3.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  4. 4.The sum of two numbers is 39 and their difference is 21. What is the larger number?
  5. 5.One number is 5 times another. Their difference is 28. What is the smaller number?
  6. 6.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  7. 7.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?
  8. 8.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  9. 9.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  10. 10.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  11. 11.The sum of two numbers is 53 and their difference is 19. What is the smaller number?
  12. 12.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  13. 13.The sum of two numbers is 22 and their difference is 10. What is the larger number?
  14. 14.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  15. 15.One number is 6 times another. Their difference is 100. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  17. 17.The sum of 3 consecutive numbers is 66. What is the largest of them?
  18. 18.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  19. 19.The sum of two numbers is 166 and their difference is 26. What is the larger number?
  20. 20.The sum of two numbers is 41 and their difference is 5. What is the smaller number?
  21. 21.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  22. 22.The sum of two numbers is 39 and their difference is 27. What is the larger number?
  23. 23.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  24. 24.One number is 3 times another. Their difference is 16. What is the smaller number?
  25. 25.The sum of two numbers is 17 and their difference is 13. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 45. What is the largest of them?
  28. 28.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  29. 29.The sum of two numbers is 64 and their difference is 10. What is the larger number?
  30. 30.The sum of 4 consecutive numbers is 138. What is the largest of them?
  31. 31.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  32. 32.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  33. 33.The sum of two numbers is 41 and their difference is 33. What is the larger number?
  34. 34.One number is 2 times another. Their difference is 22. What is the smaller number?
  35. 35.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  36. 36.The sum of two numbers is 126 and their difference is 52. What is the larger number?
  37. 37.The sum of 3 consecutive numbers is 78. What is the largest of them?
  38. 38.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  39. 39.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  40. 40.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?

Answer key

  1. 23
  2. 16
  3. 17
  4. 30
  5. 7
  6. 68
  7. 68
  8. 35
  9. 41
  10. 53
  11. 17
  12. 20
  13. 16
  14. 32
  15. 20
  16. 38
  17. 23
  18. 15
  19. 96
  20. 18
  21. 44
  22. 33
  23. 45
  24. 8
  25. 2
  26. 81
  27. 11
  28. 53
  29. 37
  30. 36
  31. 48
  32. 54
  33. 37
  34. 22
  35. 75
  36. 89
  37. 27
  38. 39
  39. 44
  40. 18

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