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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 878 · 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 4 consecutive even numbers is 300. What is the smallest of them?
  2. 2.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 147. What is the largest of them?
  4. 4.The sum of two numbers is 46 and their difference is 6. What is the larger number?
  5. 5.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  6. 6.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  8. 8.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  9. 9.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  11. 11.One number is 2 times another. Their difference is 24. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  14. 14.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  15. 15.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  16. 16.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  17. 17.One number is 6 times another. Their difference is 70. What is the smaller number?
  18. 18.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  19. 19.The sum of two numbers is 71 and their difference is 67. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  21. 21.The sum of two numbers is 50 and their difference is 14. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 40. What is the largest of them?
  23. 23.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  24. 24.The sum of two numbers is 155 and their difference is 25. What is the smaller number?
  25. 25.One number is 2 times another. Their difference is 23. What is the smaller number?
  26. 26.One number is 4 times another. Their difference is 105. What is the smaller number?
  27. 27.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  28. 28.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  29. 29.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  31. 31.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  32. 32.One number is 6 times another. Their difference is 195. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  34. 34.The sum of 3 consecutive numbers is 117. What is the largest of them?
  35. 35.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  36. 36.One number is 4 times another. Their difference is 96. What is the smaller number?
  37. 37.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  38. 38.The sum of 5 consecutive numbers is 220. What is the largest of them?
  39. 39.The sum of 5 consecutive numbers is 105. What is the largest of them?
  40. 40.The sum of 5 consecutive numbers is 305. What is the smallest of them?

Answer key

  1. 72
  2. 71
  3. 50
  4. 26
  5. 19
  6. 32
  7. 13
  8. 8
  9. 24
  10. 43
  11. 24
  12. 89
  13. 49
  14. 19
  15. 54
  16. 67
  17. 14
  18. 72
  19. 2
  20. 50
  21. 18
  22. 10
  23. 66
  24. 65
  25. 23
  26. 35
  27. 32
  28. 57
  29. 55
  30. 6
  31. 80
  32. 39
  33. 37
  34. 40
  35. 25
  36. 32
  37. 81
  38. 46
  39. 23
  40. 59

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