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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 104 · 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 158 and their difference is 30. What is the smaller number?
  2. 2.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?
  3. 3.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  4. 4.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  5. 5.The sum of two numbers is 82 and their difference is 40. What is the larger number?
  6. 6.The sum of 5 consecutive numbers is 190. What is the largest of them?
  7. 7.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  8. 8.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  12. 12.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?
  13. 13.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  14. 14.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  15. 15.The sum of 5 consecutive numbers is 155. What is the largest of them?
  16. 16.The sum of 4 consecutive numbers is 206. What is the largest of them?
  17. 17.One number is 6 times another. Their difference is 105. What is the smaller number?
  18. 18.The sum of two numbers is 154 and their difference is 38. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 150. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  21. 21.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?
  22. 22.One number is 3 times another. Their difference is 28. What is the smaller number?
  23. 23.The sum of two numbers is 21 and their difference is 9. What is the larger number?
  24. 24.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  25. 25.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  26. 26.The sum of two numbers is 69 and their difference is 39. What is the larger number?
  27. 27.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  28. 28.One number is 4 times another. Their difference is 66. What is the smaller number?
  29. 29.The sum of two numbers is 95 and their difference is 1. What is the larger number?
  30. 30.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?
  31. 31.The sum of 4 consecutive numbers is 186. What is the largest of them?
  32. 32.One number is 4 times another. Their difference is 39. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  34. 34.The sum of 4 consecutive even numbers is 132. What is the largest of them?
  35. 35.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  36. 36.The sum of two numbers is 98 and their difference is 76. What is the larger number?
  37. 37.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?
  38. 38.One number is 2 times another. Their difference is 38. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 50. What is the largest of them?
  40. 40.One number is 5 times another. Their difference is 32. What is the smaller number?

Answer key

  1. 64
  2. 25
  3. 44
  4. 52
  5. 61
  6. 40
  7. 37
  8. 51
  9. 57
  10. 48
  11. 21
  12. 28
  13. 46
  14. 46
  15. 33
  16. 53
  17. 21
  18. 58
  19. 39
  20. 28
  21. 89
  22. 14
  23. 15
  24. 34
  25. 28
  26. 54
  27. 79
  28. 22
  29. 48
  30. 23
  31. 48
  32. 13
  33. 45
  34. 36
  35. 41
  36. 87
  37. 68
  38. 38
  39. 14
  40. 8

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