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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 688 · 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 3 times another. Their difference is 44. What is the smaller number?
  2. 2.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  4. 4.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  6. 6.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  7. 7.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  8. 8.One number is 5 times another. Their difference is 28. What is the smaller number?
  9. 9.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 174. What is the largest of them?
  11. 11.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  12. 12.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  13. 13.One number is 4 times another. Their difference is 93. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  15. 15.One number is 6 times another. Their difference is 135. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  17. 17.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  18. 18.One number is 2 times another. Their difference is 24. What is the smaller number?
  19. 19.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  20. 20.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?
  21. 21.The sum of 3 consecutive numbers is 126. What is the largest of them?
  22. 22.One number is 5 times another. Their difference is 116. What is the smaller number?
  23. 23.The sum of two numbers is 131 and their difference is 3. What is the larger number?
  24. 24.One number is 5 times another. Their difference is 52. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  27. 27.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?
  28. 28.The sum of 4 consecutive numbers is 170. What is the largest of them?
  29. 29.The sum of two numbers is 125 and their difference is 27. What is the larger number?
  30. 30.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  31. 31.The sum of two numbers is 54 and their difference is 10. What is the smaller number?
  32. 32.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?
  33. 33.The sum of 4 consecutive numbers is 82. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 132. What is the largest of them?
  35. 35.The sum of 4 consecutive odd numbers is 256. What is the largest of them?
  36. 36.One number is 3 times another. Their difference is 54. What is the smaller number?
  37. 37.The sum of two numbers is 59 and their difference is 41. What is the smaller number?
  38. 38.The sum of two numbers is 51 and their difference is 27. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 13. What is the smaller number?

Answer key

  1. 22
  2. 18
  3. 51
  4. 55
  5. 19
  6. 58
  7. 80
  8. 7
  9. 50
  10. 59
  11. 34
  12. 23
  13. 31
  14. 23
  15. 27
  16. 17
  17. 10
  18. 24
  19. 75
  20. 78
  21. 43
  22. 29
  23. 67
  24. 13
  25. 85
  26. 28
  27. 79
  28. 44
  29. 76
  30. 28
  31. 22
  32. 34
  33. 22
  34. 45
  35. 67
  36. 27
  37. 9
  38. 12
  39. 7
  40. 13

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