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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 602 · 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 150 and their difference is 22. What is the smaller number?
  2. 2.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  3. 3.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  5. 5.The sum of two numbers is 32 and their difference is 10. What is the larger number?
  6. 6.The sum of 3 consecutive numbers is 90. What is the largest of them?
  7. 7.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  9. 9.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  10. 10.The sum of two numbers is 112 and their difference is 46. What is the larger number?
  11. 11.The sum of two numbers is 115 and their difference is 55. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 153. What is the largest of them?
  16. 16.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  17. 17.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 240. What is the largest of them?
  19. 19.One number is 6 times another. Their difference is 55. What is the smaller number?
  20. 20.One number is 2 times another. Their difference is 34. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 69. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  23. 23.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
  24. 24.One number is 6 times another. Their difference is 20. What is the smaller number?
  25. 25.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  26. 26.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  27. 27.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  28. 28.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
  29. 29.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  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 digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  32. 32.The sum of two numbers is 47 and their difference is 11. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  34. 34.The sum of 4 consecutive numbers is 170. What is the largest of them?
  35. 35.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  36. 36.The sum of two numbers is 170 and their difference is 26. What is the smaller number?
  37. 37.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  38. 38.The sum of two numbers is 131 and their difference is 21. What is the smaller number?
  39. 39.The sum of two numbers is 99 and their difference is 95. What is the smaller number?
  40. 40.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?

Answer key

  1. 64
  2. 72
  3. 69
  4. 27
  5. 21
  6. 31
  7. 48
  8. 7
  9. 45
  10. 79
  11. 30
  12. 58
  13. 50
  14. 54
  15. 52
  16. 56
  17. 39
  18. 50
  19. 11
  20. 34
  21. 24
  22. 32
  23. 32
  24. 4
  25. 80
  26. 69
  27. 74
  28. 39
  29. 78
  30. 23
  31. 59
  32. 18
  33. 20
  34. 44
  35. 37
  36. 72
  37. 38
  38. 55
  39. 2
  40. 67

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