← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 270 · 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 two numbers is 53 and their difference is 29. What is the smaller number?
  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 4 consecutive numbers is 30. What is the largest of them?
  4. 4.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  5. 5.The sum of two numbers is 52 and their difference is 14. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  7. 7.One number is 2 times another. Their difference is 6. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  9. 9.One number is 5 times another. Their difference is 68. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 74. What is the largest of them?
  11. 11.One number is 3 times another. Their difference is 36. What is the smaller number?
  12. 12.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  13. 13.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  14. 14.One number is 4 times another. Their difference is 108. What is the smaller number?
  15. 15.One number is 4 times another. Their difference is 114. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  17. 17.One number is 3 times another. Their difference is 16. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  19. 19.The sum of two numbers is 116 and their difference is 74. What is the smaller number?
  20. 20.One number is 3 times another. Their difference is 12. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 117. What is the largest of them?
  22. 22.The sum of two numbers is 24 and their difference is 8. What is the larger number?
  23. 23.The sum of two numbers is 144 and their difference is 50. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  25. 25.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  26. 26.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  27. 27.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  28. 28.The sum of 4 consecutive odd numbers is 208. What is the largest of them?
  29. 29.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 72. What is the largest of them?
  31. 31.The sum of two numbers is 46 and their difference is 8. What is the larger number?
  32. 32.One number is 6 times another. Their difference is 140. What is the smaller number?
  33. 33.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?
  34. 34.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  35. 35.The sum of two numbers is 76 and their difference is 44. What is the larger number?
  36. 36.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 18. What is the largest of them?
  38. 38.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  39. 39.The sum of two numbers is 26 and their difference is 22. What is the smaller number?
  40. 40.The sum of 3 consecutive numbers is 54. What is the smallest of them?

Answer key

  1. 12
  2. 89
  3. 9
  4. 26
  5. 19
  6. 19
  7. 6
  8. 41
  9. 17
  10. 20
  11. 18
  12. 80
  13. 77
  14. 36
  15. 38
  16. 14
  17. 8
  18. 59
  19. 21
  20. 6
  21. 40
  22. 16
  23. 47
  24. 23
  25. 6
  26. 45
  27. 25
  28. 55
  29. 34
  30. 25
  31. 27
  32. 28
  33. 69
  34. 46
  35. 60
  36. 61
  37. 7
  38. 13
  39. 2
  40. 17

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