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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 354 · 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 7. What is the smaller number?
  2. 2.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  3. 3.One number is 5 times another. Their difference is 160. What is the smaller number?
  4. 4.The sum of two numbers is 98 and their difference is 88. What is the smaller number?
  5. 5.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?
  6. 6.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  7. 7.One number is 6 times another. Their difference is 190. What is the smaller number?
  8. 8.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  9. 9.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  10. 10.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  12. 12.The sum of 4 consecutive numbers is 82. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  14. 14.One number is 2 times another. Their difference is 8. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 117. What is the largest of them?
  16. 16.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  17. 17.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?
  18. 18.One number is 6 times another. Their difference is 70. What is the smaller number?
  19. 19.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  20. 20.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  21. 21.One number is 3 times another. Their difference is 46. What is the smaller number?
  22. 22.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?
  23. 23.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?
  24. 24.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?
  25. 25.The sum of two numbers is 127 and their difference is 53. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 150. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 24. What is the largest of them?
  28. 28.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  29. 29.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  30. 30.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  31. 31.One number is 2 times another. Their difference is 17. What is the smaller number?
  32. 32.The sum of two numbers is 49 and their difference is 7. What is the smaller number?
  33. 33.The sum of two numbers is 98 and their difference is 70. What is the larger number?
  34. 34.The sum of 3 consecutive numbers is 36. What is the largest of them?
  35. 35.The sum of 4 consecutive numbers is 34. What is the largest of them?
  36. 36.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?
  37. 37.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  38. 38.The sum of two numbers is 94 and their difference is 46. What is the smaller number?
  39. 39.One number is 4 times another. Their difference is 81. What is the smaller number?
  40. 40.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?

Answer key

  1. 7
  2. 82
  3. 40
  4. 5
  5. 34
  6. 24
  7. 38
  8. 16
  9. 16
  10. 38
  11. 57
  12. 22
  13. 25
  14. 8
  15. 40
  16. 42
  17. 89
  18. 14
  19. 68
  20. 70
  21. 23
  22. 23
  23. 58
  24. 35
  25. 37
  26. 32
  27. 9
  28. 43
  29. 37
  30. 37
  31. 17
  32. 21
  33. 84
  34. 13
  35. 10
  36. 48
  37. 34
  38. 24
  39. 27
  40. 68

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