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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 388 · 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 9. What is the smaller number?
  2. 2.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
  3. 3.One number is 4 times another. Their difference is 30. What is the smaller number?
  4. 4.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  5. 5.One number is 2 times another. Their difference is 11. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 75. What is the largest of them?
  8. 8.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  9. 9.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?
  10. 10.The sum of two numbers is 88 and their difference is 80. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  12. 12.The sum of 5 consecutive numbers is 100. What is the largest of them?
  13. 13.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  15. 15.One number is 2 times another. Their difference is 17. What is the smaller number?
  16. 16.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  17. 17.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?
  18. 18.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  19. 19.One number is 3 times another. Their difference is 48. What is the smaller number?
  20. 20.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  21. 21.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  22. 22.The sum of two numbers is 47 and their difference is 33. What is the smaller number?
  23. 23.One number is 5 times another. Their difference is 32. What is the smaller number?
  24. 24.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  25. 25.One number is 6 times another. Their difference is 135. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  27. 27.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  28. 28.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  29. 29.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  30. 30.One number is 3 times another. Their difference is 66. What is the smaller number?
  31. 31.The sum of two numbers is 104 and their difference is 22. What is the larger number?
  32. 32.The sum of two numbers is 103 and their difference is 61. What is the smaller number?
  33. 33.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  34. 34.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  35. 35.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  37. 37.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  38. 38.One number is 5 times another. Their difference is 140. What is the smaller number?
  39. 39.The sum of two numbers is 33 and their difference is 29. What is the larger number?
  40. 40.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?

Answer key

  1. 3
  2. 39
  3. 10
  4. 69
  5. 11
  6. 30
  7. 17
  8. 13
  9. 24
  10. 4
  11. 47
  12. 22
  13. 41
  14. 24
  15. 17
  16. 16
  17. 89
  18. 40
  19. 24
  20. 38
  21. 47
  22. 7
  23. 8
  24. 28
  25. 27
  26. 25
  27. 18
  28. 41
  29. 36
  30. 33
  31. 63
  32. 21
  33. 45
  34. 76
  35. 30
  36. 58
  37. 26
  38. 35
  39. 31
  40. 77

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