← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 642 · 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 3 consecutive numbers is 144. What is the smallest of them?
  2. 2.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  3. 3.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?
  4. 4.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?
  5. 5.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  6. 6.The sum of 4 consecutive numbers is 30. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  8. 8.The sum of 4 consecutive numbers is 174. What is the largest of them?
  9. 9.The sum of two numbers is 20 and their difference is 8. What is the smaller number?
  10. 10.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  11. 11.One number is 5 times another. Their difference is 116. What is the smaller number?
  12. 12.One number is 6 times another. Their difference is 20. What is the smaller number?
  13. 13.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  14. 14.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  15. 15.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  16. 16.One number is 2 times another. Their difference is 30. What is the smaller number?
  17. 17.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?
  18. 18.The sum of 3 consecutive even numbers is 216. What is the largest of them?
  19. 19.One number is 3 times another. Their difference is 6. What is the smaller number?
  20. 20.The sum of 4 consecutive even numbers is 84. What is the largest of them?
  21. 21.The sum of two numbers is 118 and their difference is 4. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 27. What is the largest of them?
  25. 25.The sum of two numbers is 52 and their difference is 34. What is the larger number?
  26. 26.The sum of 5 consecutive numbers is 200. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 300. What is the largest of them?
  28. 28.The sum of two numbers is 193 and their difference is 3. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  30. 30.One number is 5 times another. Their difference is 144. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  32. 32.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?
  33. 33.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  34. 34.One number is 6 times another. Their difference is 110. What is the smaller number?
  35. 35.One number is 4 times another. Their difference is 117. What is the smaller number?
  36. 36.The sum of two numbers is 37 and their difference is 25. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  38. 38.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  39. 39.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  40. 40.One number is 5 times another. Their difference is 112. What is the smaller number?

Answer key

  1. 47
  2. 48
  3. 89
  4. 69
  5. 49
  6. 9
  7. 54
  8. 45
  9. 6
  10. 41
  11. 29
  12. 4
  13. 31
  14. 59
  15. 43
  16. 30
  17. 24
  18. 74
  19. 3
  20. 24
  21. 57
  22. 42
  23. 29
  24. 10
  25. 43
  26. 42
  27. 62
  28. 95
  29. 41
  30. 36
  31. 63
  32. 19
  33. 67
  34. 22
  35. 39
  36. 6
  37. 30
  38. 14
  39. 56
  40. 28

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude