48 Come on let us solve!-3

Come on let us solve our problems!

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(1)  Find the number,
When it is divided 
by 2, the remainder is 1;
by 3, the remainder is 2;
by 4, the remainder is 3;
by 5, the remainder is 4;
by 6, the remainder is 5;and
by 7, the remainder is nothing.

(2)  Find the number,
When it is divided
by 2,3,4,5,and 6 the remainders are 1;
But by 7, the remainder is nothing.

(3)  From a number,one third of it is subtracted;
One third of the balance is subtracted;
One third of the remainder is subtracted;
At last,When one third of the balance is subtracted,
The balance is not divisible by 3.without remainder;
Find the number:- 

(4)  There are only 4 weighing stones;
The total weight of them is 40 kgms;
We can weigh any weight from 1 to 40 kgs,
using these stones in both sides at the physical scale;
What are the weights of each stone?

(5)  A pen costs 5 Rs;
      A pencil costs 1 Re;
      And 20 labels cost 1 Re;
      How many items should we purchase,
      to get 100 articles for 100 Rs;

     The answers are:---

       1---------------119.                   
       2---------------301.
       3---------------81  
       4---------------1,3,9,27.  
       5---------------19  pens    95 Rs
                                 1   pencil    1 Re
                               80   labels    4 Rs
                             ---------------------
                               100           100
                               --------------------