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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 733 · 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 5 times another. Their difference is 64. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  3. 3.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  4. 4.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  5. 5.The sum of two numbers is 29 and their difference is 7. What is the smaller number?
  6. 6.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?
  7. 7.One number is 6 times another. Their difference is 135. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 138. What is the largest of them?
  10. 10.One number is 5 times another. Their difference is 152. What is the smaller number?
  11. 11.The sum of two numbers is 70 and their difference is 68. What is the smaller number?
  12. 12.The sum of 4 consecutive numbers is 114. What is the largest of them?
  13. 13.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  14. 14.One number is 5 times another. Their difference is 132. What is the smaller number?
  15. 15.The sum of two numbers is 77 and their difference is 1. What is the larger number?
  16. 16.The sum of two numbers is 55 and their difference is 13. What is the larger number?
  17. 17.The sum of two numbers is 91 and their difference is 77. What is the smaller number?
  18. 18.The sum of 4 consecutive even numbers is 196. What is the largest of them?
  19. 19.The sum of two numbers is 42 and their difference is 10. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  21. 21.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  22. 22.The sum of two numbers is 22 and their difference is 6. What is the larger number?
  23. 23.The sum of 4 consecutive even numbers is 268. What is the smallest of them?
  24. 24.The sum of 5 consecutive numbers is 260. What is the largest of them?
  25. 25.The sum of 4 consecutive numbers is 58. What is the largest of them?
  26. 26.One number is 3 times another. Their difference is 22. What is the smaller number?
  27. 27.One number is 2 times another. Their difference is 37. What is the smaller number?
  28. 28.One number is 4 times another. Their difference is 12. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  30. 30.The sum of two numbers is 40 and their difference is 14. What is the larger number?
  31. 31.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  34. 34.The sum of two numbers is 88 and their difference is 72. What is the smaller number?
  35. 35.The sum of two numbers is 31 and their difference is 17. What is the larger number?
  36. 36.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  37. 37.The sum of two numbers is 50 and their difference is 12. What is the larger number?
  38. 38.One number is 2 times another. Their difference is 38. What is the smaller number?
  39. 39.One number is 4 times another. Their difference is 42. What is the smaller number?
  40. 40.The sum of two numbers is 92 and their difference is 56. What is the smaller number?

Answer key

  1. 16
  2. 51
  3. 24
  4. 19
  5. 11
  6. 37
  7. 27
  8. 15
  9. 47
  10. 38
  11. 1
  12. 30
  13. 42
  14. 33
  15. 39
  16. 34
  17. 7
  18. 52
  19. 16
  20. 41
  21. 31
  22. 14
  23. 64
  24. 54
  25. 16
  26. 11
  27. 37
  28. 4
  29. 52
  30. 27
  31. 18
  32. 44
  33. 46
  34. 8
  35. 24
  36. 26
  37. 31
  38. 38
  39. 14
  40. 18

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