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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 209 · 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 3 consecutive even numbers is 144. What is the largest of them?
  2. 2.The sum of 3 consecutive numbers is 42. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 42. What is the largest of them?
  4. 4.The sum of 3 consecutive numbers is 78. What is the largest of them?
  5. 5.One number is 3 times another. Their difference is 62. What is the smaller number?
  6. 6.The sum of two numbers is 81 and their difference is 5. What is the smaller number?
  7. 7.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  8. 8.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  9. 9.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  10. 10.The sum of two numbers is 23 and their difference is 21. What is the smaller number?
  11. 11.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?
  12. 12.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  13. 13.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  14. 14.The sum of two numbers is 63 and their difference is 9. What is the smaller number?
  15. 15.The sum of 4 consecutive odd numbers is 112. What is the largest of them?
  16. 16.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?
  17. 17.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  18. 18.The sum of 3 consecutive odd numbers is 57. What is the largest of them?
  19. 19.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?
  20. 20.The sum of 4 consecutive numbers is 102. What is the largest of them?
  21. 21.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  22. 22.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?
  23. 23.One number is 2 times another. Their difference is 29. What is the smaller number?
  24. 24.One number is 6 times another. Their difference is 175. What is the smaller number?
  25. 25.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  26. 26.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  27. 27.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  28. 28.The sum of two numbers is 58 and their difference is 26. What is the smaller number?
  29. 29.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 202. What is the largest of them?
  31. 31.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  32. 32.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  33. 33.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  35. 35.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  36. 36.The sum of two numbers is 54 and their difference is 26. What is the smaller number?
  37. 37.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  38. 38.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  39. 39.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?
  40. 40.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?

Answer key

  1. 50
  2. 15
  3. 12
  4. 27
  5. 31
  6. 38
  7. 63
  8. 35
  9. 75
  10. 1
  11. 69
  12. 23
  13. 40
  14. 27
  15. 31
  16. 67
  17. 31
  18. 21
  19. 78
  20. 27
  21. 43
  22. 89
  23. 29
  24. 35
  25. 13
  26. 17
  27. 82
  28. 16
  29. 23
  30. 52
  31. 54
  32. 39
  33. 10
  34. 34
  35. 34
  36. 14
  37. 12
  38. 27
  39. 79
  40. 28

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