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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 989 · 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 sum of 5 consecutive numbers is 170. What is the smallest of them?
  2. 2.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?
  3. 3.The sum of 5 consecutive numbers is 155. What is the largest of them?
  4. 4.The sum of two numbers is 57 and their difference is 17. What is the smaller number?
  5. 5.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?
  6. 6.The sum of 3 consecutive numbers is 33. What is the largest of them?
  7. 7.The sum of two numbers is 19 and their difference is 3. What is the larger 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 15. When the digits swap places, the number goes up by 27. What is the number?
  10. 10.The sum of two numbers is 60 and their difference is 48. What is the smaller number?
  11. 11.The sum of two numbers is 79 and their difference is 61. What is the smaller number?
  12. 12.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  13. 13.One number is 3 times another. Their difference is 14. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 186. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 310. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  17. 17.One number is 3 times another. Their difference is 60. What is the smaller number?
  18. 18.One number is 5 times another. Their difference is 160. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 120. What is the largest of them?
  20. 20.One number is 2 times another. Their difference is 35. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  22. 22.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  23. 23.The sum of 4 consecutive numbers is 122. What is the largest of them?
  24. 24.The sum of two numbers is 105 and their difference is 89. What is the larger number?
  25. 25.The sum of two numbers is 64 and their difference is 50. What is the larger number?
  26. 26.One number is 3 times another. Their difference is 36. What is the smaller number?
  27. 27.One number is 4 times another. Their difference is 120. What is the smaller number?
  28. 28.The sum of two numbers is 38 and their difference is 14. What is the smaller number?
  29. 29.One number is 6 times another. Their difference is 110. What is the smaller number?
  30. 30.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?
  31. 31.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  32. 32.The sum of two numbers is 51 and their difference is 35. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 175. What is the largest of them?
  34. 34.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  36. 36.The sum of two numbers is 23 and their difference is 13. What is the smaller number?
  37. 37.One number is 5 times another. Their difference is 100. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  40. 40.The sum of 4 consecutive even numbers is 324. What is the smallest of them?

Answer key

  1. 32
  2. 89
  3. 33
  4. 20
  5. 79
  6. 12
  7. 11
  8. 24
  9. 69
  10. 6
  11. 9
  12. 48
  13. 7
  14. 48
  15. 60
  16. 15
  17. 30
  18. 40
  19. 26
  20. 35
  21. 57
  22. 16
  23. 32
  24. 97
  25. 57
  26. 18
  27. 40
  28. 12
  29. 22
  30. 12
  31. 73
  32. 8
  33. 37
  34. 35
  35. 6
  36. 5
  37. 25
  38. 77
  39. 14
  40. 78

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