Question

A five-digit number is written down at raddom. The probability that the number is divisible by 5, and no two consecutive digits are identical, is:

  1. $\frac{1}{5}$

  2. $\frac{1}{5}\big(\frac{9}{10}\big)^3$

  3. $\big(\frac{3}{5}\big)^4$

  4. $\text{None of these}$

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The elimination of the arbitrary constants $A, B$ and $C$ from $y = A + Bx + C{e^{ - x}}$leads to the differential equation
$\int_0^a {x{{(2ax - {x^2})}^{\frac{3}{2}}}\,dx = } $
Let $S =\{\sqrt{ n }: 1 \leq n \leq 50$ and $n$ is odd $\}$

Let $a \in S$ and $A =\left[\begin{array}{ccc}1 & 0 & a \\ -1 & 1 & 0 \\ - a & 0 & 1\end{array}\right]$

If $\sum_{ a \in S } \operatorname{det}(\operatorname{adj} A )=100 \lambda$, then $\lambda$ is equal to

Consider the following system of equations : $x+2 y-3 z=a$ ; $2 x+6 y-11 z=b$ ; $x-2 y+7 z=c$    where $a , b$ and $c$ are real constants. Then the system of equations :
Let $I$ be the set of positve integers. $R$ is a relation on the set $I$ given by $R =\left\{ {\left( {a,b} \right) \in I \times I\,|\,\,{{\log }_2}\left( {\frac{a}{b}} \right)} \right.$ is a non-negative integer$\}$, then $R$ is 
$\sin\begin{Bmatrix}2\cos^{-1}\Big(\frac{-3}{5}\Big)\end{Bmatrix}$ is equal to:
  1. $\frac{6}{25}$
  2. $\frac{24}{25}$
  3. $\frac{4}{5}$
  4. $-\frac{24}{25}$
The speed $v$ of a particle moving along a straight line is given by $a + b{v^2} = {x^2}$ (where $x$  is its distance from the origin). The acceleration of the particle is
Can $\frac{1}{\sqrt{3}},\frac{2}{\sqrt{3}},\frac{-2}{\sqrt{3}}$ be the direction cosines of any directed line:
$\int\limits^\sqrt{3}_1\frac{1}{1+\text{x}^2}\text{ dx}$ is equal to:

  1. $\frac{\pi}{12}$

  2. $\frac{\pi}{6}$

  3. $\frac{\pi}{4}$

  4. $\frac{\pi}{3}$

Choose the correct answer in Exercises:
$\int\frac{10\text{x}^9+10^{\text{x}}\log_\text{e}10}{\text{x}^{10}+10^{\text{x}}}\text{ equals}$
  1. $10^\text{x}-\text{x}^{10}+\text{C}$
  2. $10^\text{x}+\text{x}^{10}+\text{C}$
  3. $(10^\text{x}-\text{x}^{10})^{-1}+\text{C}$
  4. $\log(10^\text{x}+\text{x}^{10})+\text{C}$