Number Systen

                                   1
                           2       3     4
                    5     6      7      8      9
                ---------------------------
              ------------------------------
           ----------------------------------
       ---------------------------------------till the 10 th row.

Ques 1 . What is the sum of all the  numbers in the 10th row of the above pyramid.

Ques 2 .  What is the sum of all the  numbers on the side of the triangle formed by the 10th row  pyramid.

Ques 3. What is the sum of all the  numbers inside the triangle formed by the 10th row pyramid.


Ques 4. if      ( ab + cd ) ^ 2 =   abcd , where ab & cd are two digits number

a) How many values a can take if d = 1   ?

b) How many values b can take if c = 2  ?

c) How many values a can take if b = 1  ?

d) How many such numbers are possible ?

Number System

1. A number is having  exactly 72 factors. What can be the maximum and minimum  number of prime factors of this number?

            a.71 &1           b. 6 & 2           c. 5 & 2           d. None of These

2. If we write all 1852 natural no. side by side starting from 1,we will get a very large  no. Find the remainder when first 1750 digits of this no. are divided by 16.

        a.30                    b.20                c.10                  d. None of These   

3.  N = 2222⁵⁵⁵⁵ + 5555²²²² . What is the remainder when N is divided by 7?

      a 6                         b. 5               c. 4                  d. 0

4. M = Product of all even numbers from 1 to 25.

    N = Product of all odd numbers from 26 to 200.

    M  N will give how many zeros?

     a. 42                     b. 25              c. 21               d. none of these