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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 743 · 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 56 and their difference is 36. What is the larger number?
  2. 2.One number is 6 times another. Their difference is 80. What is the smaller number?
  3. 3.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 160. What is the largest of them?
  5. 5.The sum of 4 consecutive numbers is 98. What is the smallest of them?
  6. 6.The sum of 4 consecutive even numbers is 36. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 102. What is the largest of them?
  8. 8.The sum of two numbers is 131 and their difference is 3. What is the smaller number?
  9. 9.The sum of two numbers is 164 and their difference is 14. What is the smaller number?
  10. 10.One number is 4 times another. Their difference is 105. What is the smaller number?
  11. 11.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?
  12. 12.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  14. 14.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  15. 15.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  16. 16.The sum of two numbers is 63 and their difference is 19. What is the larger number?
  17. 17.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  18. 18.One number is 6 times another. Their difference is 160. What is the smaller number?
  19. 19.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  20. 20.One number is 2 times another. Their difference is 35. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  22. 22.The sum of 5 consecutive numbers is 85. What is the largest of them?
  23. 23.One number is 6 times another. Their difference is 135. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  25. 25.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  26. 26.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  27. 27.The sum of two numbers is 70 and their difference is 62. What is the larger number?
  28. 28.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  29. 29.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  30. 30.The sum of two numbers is 51 and their difference is 35. 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 18. What is the number?
  32. 32.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  33. 33.The sum of two numbers is 61 and their difference is 17. What is the larger number?
  34. 34.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  35. 35.The sum of 5 consecutive numbers is 90. What is the largest of them?
  36. 36.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  38. 38.The sum of two numbers is 18 and their difference is 2. What is the larger number?
  39. 39.One number is 4 times another. Their difference is 39. What is the smaller number?
  40. 40.The sum of 3 consecutive even numbers is 120. What is the smallest of them?

Answer key

  1. 46
  2. 16
  3. 7
  4. 34
  5. 23
  6. 12
  7. 35
  8. 64
  9. 75
  10. 35
  11. 89
  12. 13
  13. 67
  14. 16
  15. 61
  16. 41
  17. 45
  18. 32
  19. 24
  20. 35
  21. 69
  22. 19
  23. 27
  24. 25
  25. 47
  26. 76
  27. 66
  28. 83
  29. 41
  30. 8
  31. 57
  32. 29
  33. 39
  34. 17
  35. 20
  36. 54
  37. 42
  38. 10
  39. 13
  40. 38

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