← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 596 · 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 136 and their difference is 26. What is the smaller number?
  2. 2.One number is 6 times another. Their difference is 45. What is the smaller number?
  3. 3.One number is 4 times another. Their difference is 42. What is the smaller number?
  4. 4.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?
  5. 5.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  6. 6.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 198. What is the largest of them?
  8. 8.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  9. 9.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  10. 10.The sum of two numbers is 135 and their difference is 27. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  12. 12.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  13. 13.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  14. 14.One number is 6 times another. Their difference is 185. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  16. 16.One number is 5 times another. Their difference is 136. What is the smaller number?
  17. 17.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  18. 18.One number is 2 times another. Their difference is 27. What is the smaller number?
  19. 19.One number is 4 times another. Their difference is 102. What is the smaller number?
  20. 20.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  21. 21.The sum of two numbers is 49 and their difference is 19. What is the larger number?
  22. 22.The sum of two numbers is 71 and their difference is 37. What is the larger number?
  23. 23.The sum of 4 consecutive numbers is 238. What is the largest of them?
  24. 24.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  25. 25.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  26. 26.The sum of two numbers is 91 and their difference is 65. What is the smaller number?
  27. 27.The sum of two numbers is 39 and their difference is 29. What is the smaller number?
  28. 28.One number is 5 times another. Their difference is 124. What is the smaller number?
  29. 29.The sum of two numbers is 52 and their difference is 30. What is the smaller number?
  30. 30.One number is 6 times another. Their difference is 150. What is the smaller number?
  31. 31.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  32. 32.One number is 5 times another. Their difference is 36. What is the smaller number?
  33. 33.The sum of two numbers is 98 and their difference is 18. What is the larger number?
  34. 34.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?
  35. 35.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  36. 36.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  37. 37.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?
  38. 38.One number is 2 times another. Their difference is 11. What is the smaller number?
  39. 39.The sum of two numbers is 143 and their difference is 35. What is the larger number?
  40. 40.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?

Answer key

  1. 55
  2. 9
  3. 14
  4. 13
  5. 29
  6. 37
  7. 51
  8. 22
  9. 32
  10. 54
  11. 54
  12. 45
  13. 45
  14. 37
  15. 51
  16. 34
  17. 17
  18. 27
  19. 34
  20. 13
  21. 34
  22. 54
  23. 61
  24. 26
  25. 17
  26. 13
  27. 5
  28. 31
  29. 11
  30. 30
  31. 39
  32. 9
  33. 58
  34. 89
  35. 71
  36. 39
  37. 25
  38. 11
  39. 89
  40. 47

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