Home › UP Board Class 10 › mathematics › numbertheory › The number of trailing zeros at the end of $50!$…
The number of trailing zeros at the end of $50!$ is
A12
B13
C11
D10
Answer & Solution
Correct answer: A. 12
Trailing zeros are governed by the power of 5 in $50!$: $\lfloor 50/5 \rfloor + \lfloor 50/25 \rfloor = 10 + 2 = 12$. (Powers of 2 are more plentiful, so 5 is the limiting factor.)
Related questions
If $3^x = 4^y = 12^z$ with $x,y,z$ nonzero, then $\dfrac{1}{z}$ equalsThe HCF of two consecutive positive integers isTwo positive integers have HCF 9 and LCM 90. If one number is 18, the other isThe remainder when $2^{100}$ is divided by 7 isWhich of the following is an irrational number?If $a = 2^3 \cdot 3^4 \cdot 5^2$ and $b = 2^4 \cdot 3^2 \cdot 7$, then $\dfrac{\text{LCM}(If $n$ is a natural number, then $6^n$ can never end with the digitThe smallest positive integer that is divisible by every integer from 1 to 10 is