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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 893 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 4 consecutive odd numbers is 256. What is the largest of them?
  2. 2.One number is 5 times another. Their difference is 96. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  4. 4.The sum of two numbers is 35 and their difference is 5. What is the larger number?
  5. 5.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  6. 6.The sum of two numbers is 23 and their difference is 9. What is the smaller number?
  7. 7.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  8. 8.One number is 4 times another. Their difference is 93. What is the smaller number?
  9. 9.One number is 3 times another. Their difference is 26. What is the smaller number?
  10. 10.One number is 2 times another. Their difference is 26. What is the smaller number?
  11. 11.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  12. 12.One number is 2 times another. Their difference is 38. What is the smaller number?
  13. 13.One number is 3 times another. Their difference is 56. What is the smaller number?
  14. 14.One number is 2 times another. Their difference is 20. What is the smaller number?
  15. 15.One number is 2 times another. Their difference is 15. What is the smaller number?
  16. 16.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  17. 17.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?
  18. 18.One number is 5 times another. Their difference is 156. What is the smaller number?
  19. 19.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  20. 20.The sum of two numbers is 28 and their difference is 22. What is the larger number?
  21. 21.One number is 4 times another. Their difference is 30. What is the smaller number?
  22. 22.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  23. 23.One number is 3 times another. Their difference is 10. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  25. 25.The sum of two numbers is 28 and their difference is 6. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 206. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  28. 28.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  29. 29.One number is 6 times another. Their difference is 20. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  31. 31.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?
  32. 32.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  33. 33.The sum of two numbers is 149 and their difference is 7. What is the larger number?
  34. 34.The sum of two numbers is 52 and their difference is 10. What is the larger number?
  35. 35.The sum of 3 consecutive numbers is 123. What is the largest of them?
  36. 36.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?
  37. 37.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?
  38. 38.One number is 3 times another. Their difference is 58. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 114. What is the largest of them?
  40. 40.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?

Answer key

  1. 67
  2. 24
  3. 37
  4. 20
  5. 74
  6. 7
  7. 37
  8. 31
  9. 13
  10. 26
  11. 40
  12. 38
  13. 28
  14. 20
  15. 15
  16. 73
  17. 48
  18. 39
  19. 70
  20. 25
  21. 10
  22. 32
  23. 5
  24. 65
  25. 11
  26. 53
  27. 38
  28. 47
  29. 4
  30. 15
  31. 58
  32. 45
  33. 78
  34. 31
  35. 42
  36. 34
  37. 78
  38. 29
  39. 30
  40. 56

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