Disha Expert Team Solutions for Chapter: Number System & Simplification, Exercise 1: Exercise

Find the number of zeros at the end of the product $100!+200!?$

Two numbers when divided by $17$ leave remainders $13$ and $11$. If the sum of those two numbers is divided by $17$ the remainder will be:

The last digit of the expression $4+9^2+4^3+9^4+4^5+9^6+.....+4^{99}+9^{100}$ is _____.

Find the number of zeros at the end of the product $1^5\times 2^5\times 3^5\times ......\times {32}^5$?

Which of the following will not completely divide $\left(3^{41}+7^{82}\right)$?

Find the digit at unit's place of ${\left(377\right)}^{59}\times {\left(793\right)}^{87}\times {\left(578\right)}^{129}\times {\left(99\right)}^{99}$?

A number which when divided by $32$ leaves a remainder of $29$. If this number is divided by $8$ the remainder will be _____.

If two numbers when divided by a certain divisor gives remainder $35$ and $30$ respectively and when their sum is divided by the same divisor, the remainder is $20$, then the divisor is _____.