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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 245 · 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 2 times another. Their difference is 10. What is the smaller number?
  2. 2.One number is 4 times another. Their difference is 93. What is the smaller number?
  3. 3.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  4. 4.One number is 6 times another. Their difference is 15. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  6. 6.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  7. 7.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 120. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 177. What is the largest of them?
  10. 10.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  11. 11.The sum of 5 consecutive numbers is 115. What is the largest of them?
  12. 12.One number is 5 times another. Their difference is 112. What is the smaller number?
  13. 13.One number is 4 times another. Their difference is 30. What is the smaller number?
  14. 14.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  15. 15.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?
  16. 16.The sum of two numbers is 132 and their difference is 60. What is the smaller number?
  17. 17.The sum of two numbers is 21 and their difference is 5. What is the smaller number?
  18. 18.One number is 5 times another. Their difference is 56. What is the smaller number?
  19. 19.One number is 4 times another. Their difference is 99. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  21. 21.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
  22. 22.One number is 6 times another. Their difference is 195. What is the smaller number?
  23. 23.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  24. 24.One number is 2 times another. Their difference is 7. What is the smaller number?
  25. 25.The sum of two numbers is 16 and their difference is 4. What is the smaller number?
  26. 26.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?
  27. 27.The sum of two numbers is 57 and their difference is 13. What is the larger number?
  28. 28.The sum of two numbers is 73 and their difference is 17. What is the larger number?
  29. 29.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  30. 30.The sum of two numbers is 25 and their difference is 5. What is the larger number?
  31. 31.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?
  32. 32.One number is 5 times another. Their difference is 84. What is the smaller number?
  33. 33.One number is 3 times another. Their difference is 52. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  35. 35.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  36. 36.The sum of 5 consecutive numbers is 300. What is the largest of them?
  37. 37.One number is 3 times another. Their difference is 32. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  39. 39.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  40. 40.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?

Answer key

  1. 10
  2. 31
  3. 33
  4. 3
  5. 49
  6. 80
  7. 6
  8. 41
  9. 60
  10. 79
  11. 25
  12. 28
  13. 10
  14. 58
  15. 28
  16. 36
  17. 8
  18. 14
  19. 33
  20. 43
  21. 32
  22. 39
  23. 22
  24. 7
  25. 6
  26. 78
  27. 35
  28. 45
  29. 78
  30. 15
  31. 48
  32. 21
  33. 26
  34. 42
  35. 69
  36. 62
  37. 16
  38. 10
  39. 38
  40. 18

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