CDS MATHEMATICS QUIZ 8

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Question 1:

When $\left(2^{48}-1\right)$ is divided by 7 , the remainder is :

Question 2:

Find the No. of zeroes at the end of $2^{7} \times 3^{5} \times 5^{8} \times 7^{5} \times 8^{3} \times 10^{5}$

Question 3:

The value of $(0 . \overline{63}+0 . \overline{37})$ is

Question 4:

If ${14331433 \times 1422 \times 1425}$ is divided by 8 , then what is the remainder.

Question 5:

If six digit number $5 x 2 y 6 z$ is divisible by 7,11 and 13, then the value of $(x-2 y+3 z)$ is:

Question 6:

When $877^{877}+877$ is divided by 878 , the remainder obtained is.

Question 7:

Find the remainder. If $x^{2225}-1$ is divided by $x^{4}+x^{3}+x^{2}+x+1$.

Question 8:

How many numbers are there from 300 to 750 which are completely divisible by both 6 and 7 ?

Question 9:

The smallest 5 -digit number exactly divisible by 51 is :

Question 10:

If the number $123 P 868$ is divisible by 9, what is the least possible value of $P ?$