Home
Class 14
MATHS
A shopkeeper told me when I have asked h...

A shopkeeper told me when I have asked him the total number of cellphones in his shop, that he had all Kyocera except three, all Nokia except three, all samsung except three and all L.G. except three. The number of mobile(i.e., cell phones) he had is :

A

24

B

256

C

can't be determined

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine the total number of cellphones in the shop based on the information given by the shopkeeper. ### Step-by-Step Solution: 1. **Understanding the Information Given:** - The shopkeeper has all Kyocera except three. - The shopkeeper has all Nokia except three. - The shopkeeper has all Samsung except three. - The shopkeeper has all LG except three. This means that for each brand, there are three cellphones that are not of that brand. 2. **Let’s Define the Variables:** - Let \( K \) be the number of Kyocera phones. - Let \( N \) be the number of Nokia phones. - Let \( S \) be the number of Samsung phones. - Let \( L \) be the number of LG phones. - Let \( T \) be the total number of phones. 3. **Setting Up the Equations:** - From the information given, we can set up the following equations: - \( N + S + L = 3 \) (All Kyocera except three) - \( K + S + L = 3 \) (All Nokia except three) - \( K + N + L = 3 \) (All Samsung except three) - \( K + N + S = 3 \) (All LG except three) 4. **Adding the Equations:** - If we add all four equations, we get: \[ (N + S + L) + (K + S + L) + (K + N + L) + (K + N + S) = 12 \] - This simplifies to: \[ 3K + 3N + 3S + 3L = 12 \] - Dividing the entire equation by 3 gives: \[ K + N + S + L = 4 \] 5. **Finding the Total Number of Phones:** - The total number of phones \( T \) is equal to the sum of all the individual brands: \[ T = K + N + S + L = 4 \] 6. **Conclusion:** - Therefore, the total number of cellphones in the shop is \( T = 4 \). ### Final Answer: The number of mobile phones he had is **4**.
Promotional Banner

Topper's Solved these Questions

  • FUNDAMENTALS

    ARIHANT SSC|Exercise TEST OF YOU - LEARNING - 2|40 Videos
  • FUNDAMENTALS

    ARIHANT SSC|Exercise FINAL ROUND|116 Videos
  • FUNCTIONS AND GRAPH

    ARIHANT SSC|Exercise Final Round|40 Videos
  • GEOMETRY

    ARIHANT SSC|Exercise EXERCISE(LEVEL 2)|52 Videos

Similar Questions

Explore conceptually related problems

There are 15 points in a plane, no three of which are in a straight line except 4, all of which are in a straight line. The number of triangles that can be formed by using these 15 points is:

If p, q, r be three positive numbers such that p gt q gt r when the smallest number is added to the difference of the rest two numbers, then the average of the resultant number and the original numbers except to the smallest is 21 more than the average of all the three numbers. The value of (p-q) is :

The total number of using all the three mobile services in the year 2004 is what percent of the totoal number of people using all the three mobile services in the year 2008? (rounded off two digits after decimal)

I have tied my square bathroom wall with congruent square tiles. All the tiles are red, except those along the two diagonals, which are all blue. If I used 121 blue tiles, then the number of red tiles I used are

A man has 3 shirts, 4 trousers and 6 ties. What are the number of ways in which he can dress himself with a combination of all the three?

ARIHANT SSC-FUNDAMENTALS -TEST OF YOU - LEARNING - 1
  1. Total number of factors of the expression 62^3-54^3-8^3 is

    Text Solution

    |

  2. The least possible number with which (180)! should be multiplied so th...

    Text Solution

    |

  3. If P = abc and Q = uv are three digits and 2 digits two natural number...

    Text Solution

    |

  4. There is a three digits number 'abc' and a two digit number 'xy' such ...

    Text Solution

    |

  5. If (N)(10) = (ab)(n) and (3N)(10) = (ba)(n) , where 3 < n < 10, then t...

    Text Solution

    |

  6. At his birthday party Pravesh invited his 100 friends and they took th...

    Text Solution

    |

  7. In the above question if Pravesh served every guest who were sitting o...

    Text Solution

    |

  8. The number of ways in which 5^7 can be expressed as a product of three...

    Text Solution

    |

  9. If [x] means the greatest integer less than or equal to x and {x} mean...

    Text Solution

    |

  10. Three partners started a business with 80000. At the end of the year, ...

    Text Solution

    |

  11. A and B enter into a partnership. A contributed 5000 for 8 months and ...

    Text Solution

    |

  12. A square field is fenced by fixing the polls all around it is such a w...

    Text Solution

    |

  13. Swarn Jayanti Park is a regular hexagonal park, around which there are...

    Text Solution

    |

  14. Pentabhai purchased the ticket of a movie for all his 200 friends. Luc...

    Text Solution

    |

  15. The expression N = 1/(1 + 1 xx 1) + 1/(2 + 2 xx 2) + 1/(3 + 3 xx 3) ...

    Text Solution

    |

  16. Anjuli has written all the letters (or characters) of English alphabet...

    Text Solution

    |

  17. The reading style of Sunny is quite unusual. He reads one page on the ...

    Text Solution

    |

  18. The number of numbers less than 1000 that can be formed out of the dig...

    Text Solution

    |

  19. A shopkeeper told me when I have asked him the total number of cellpho...

    Text Solution

    |

  20. The number of zeros at the end of the product of all the prime numbers...

    Text Solution

    |