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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 692 · 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 4 times another. Their difference is 96. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 245. What is the largest of them?
  3. 3.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  4. 4.The sum of two numbers is 135 and their difference is 3. What is the smaller number?
  5. 5.One number is 4 times another. Their difference is 120. What is the smaller number?
  6. 6.The sum of two numbers is 34 and their difference is 26. What is the larger number?
  7. 7.The sum of two numbers is 64 and their difference is 26. What is the smaller number?
  8. 8.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?
  9. 9.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  10. 10.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  11. 11.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  12. 12.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?
  13. 13.The sum of two numbers is 38 and their difference is 12. What is the larger number?
  14. 14.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?
  15. 15.The sum of 4 consecutive numbers is 146. What is the largest of them?
  16. 16.One number is 3 times another. Their difference is 16. What is the smaller number?
  17. 17.The sum of two numbers is 68 and their difference is 24. What is the larger number?
  18. 18.The sum of two numbers is 46 and their difference is 44. What is the larger number?
  19. 19.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  20. 20.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  21. 21.One number is 4 times another. Their difference is 78. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 38. What is the largest of them?
  23. 23.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  24. 24.The sum of two numbers is 26 and their difference is 18. What is the larger number?
  25. 25.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  26. 26.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  27. 27.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  28. 28.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  29. 29.The sum of two numbers is 125 and their difference is 51. What is the smaller number?
  30. 30.The sum of 5 consecutive numbers is 225. What is the largest of them?
  31. 31.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 30. What is the largest of them?
  33. 33.The sum of two numbers is 143 and their difference is 9. What is the larger number?
  34. 34.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  35. 35.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  36. 36.The sum of two numbers is 85 and their difference is 5. What is the larger number?
  37. 37.One number is 3 times another. Their difference is 66. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 240. 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.The sum of 4 consecutive numbers is 106. What is the largest of them?

Answer key

  1. 32
  2. 51
  3. 61
  4. 66
  5. 40
  6. 30
  7. 19
  8. 89
  9. 29
  10. 49
  11. 40
  12. 78
  13. 25
  14. 24
  15. 38
  16. 8
  17. 46
  18. 45
  19. 54
  20. 13
  21. 26
  22. 11
  23. 33
  24. 22
  25. 37
  26. 47
  27. 15
  28. 19
  29. 37
  30. 47
  31. 36
  32. 9
  33. 76
  34. 7
  35. 45
  36. 45
  37. 33
  38. 50
  39. 56
  40. 28

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