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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 281 · 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.The sum of two numbers is 132 and their difference is 42. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 95. What is the largest of them?
  3. 3.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
  4. 4.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  5. 5.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  6. 6.The sum of two numbers is 42 and their difference is 6. What is the larger number?
  7. 7.One number is 3 times another. Their difference is 26. What is the smaller number?
  8. 8.One number is 4 times another. Their difference is 84. What is the smaller number?
  9. 9.The sum of two numbers is 66 and their difference is 64. What is the larger number?
  10. 10.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  11. 11.The sum of two numbers is 50 and their difference is 20. What is the smaller number?
  12. 12.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  13. 13.One number is 3 times another. Their difference is 6. What is the smaller number?
  14. 14.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  15. 15.One number is 6 times another. Their difference is 140. What is the smaller number?
  16. 16.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  19. 19.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  20. 20.The sum of two numbers is 115 and their difference is 9. What is the larger number?
  21. 21.The sum of two numbers is 42 and their difference is 16. What is the larger number?
  22. 22.One number is 5 times another. Their difference is 88. What is the smaller number?
  23. 23.One number is 4 times another. Their difference is 9. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  25. 25.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  26. 26.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  27. 27.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?
  28. 28.The sum of two numbers is 78 and their difference is 18. What is the smaller number?
  29. 29.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  30. 30.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  31. 31.The sum of two numbers is 75 and their difference is 21. What is the smaller number?
  32. 32.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  33. 33.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  34. 34.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  36. 36.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  37. 37.The sum of 4 consecutive even numbers is 236. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 177. What is the largest of them?
  39. 39.The sum of two numbers is 37 and their difference is 19. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 120. What is the smallest of them?

Answer key

  1. 45
  2. 21
  3. 14
  4. 38
  5. 69
  6. 24
  7. 13
  8. 28
  9. 65
  10. 77
  11. 15
  12. 17
  13. 3
  14. 35
  15. 28
  16. 37
  17. 48
  18. 59
  19. 55
  20. 62
  21. 29
  22. 22
  23. 3
  24. 12
  25. 47
  26. 63
  27. 24
  28. 30
  29. 79
  30. 6
  31. 27
  32. 86
  33. 26
  34. 44
  35. 32
  36. 34
  37. 62
  38. 60
  39. 9
  40. 22

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