Find (12) 12=2^2 3 - Vidyadip

Question

Find $\varphi(12)$
$
12=2^2 \times 3
$

✓

Answer

$\varphi(12)=12\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)$ $=12 \times \frac{1}{2} \times \frac{2}{3}=4$

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

Explore more

More "2 Marks Questions" from Numbers and Quantification→Numbers and Quantification — all question types→Applied Maths STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

The processes P1, P2, P3, P4 given in the table below, arrives for execution in the same order,
with Arrival Time 0, and given Burst Time. Find the average waiting time using the FCFS scheduling
algorithm.

Process	Burst Time
P1	25
P2	4
P3	7
P4	3

Find the order and the degree of the differential equation $x^2 \frac{d^2 y}{d x^2}=\left\{1+\left(\frac{d y}{d x}\right)^2\right\}^4$

Evaluate: $\int \frac{d x}{5-8 x-x^2}$

Evaluate: $\int_{1}^{2} \frac{3 x}{9 x^{2}-1} d x$

Find the order and degree (if defined) of the differential equation. $\frac{d^2 y}{d x^2}+x\left(\frac{d y}{d x}\right)^2=2 x^2 \log \left(\frac{d^2 y}{d x^2}\right)$

Write the value of $\left|\begin{array}{lll}2 & 7 & 65 \\ 3 & 8 & 75 \\ 5 & 9 & 86\end{array}\right|$.

If $x=-9$ is a root of $\left|\begin{array}{lll}x & 3 & 7 \\ 2 & x & 2 \\ 7 & 6 & x\end{array}\right|=0$, then find the other two roots.

Sarah is selling her used scooter. The minimum amount she needs to be paid for the scooter is ₹ 5,000. She advertises the scooter on olx.com for ₹ 8,000 and eventually sells the scooter for ₹ 6,000.
Find her producer surplus.

There is a road beside a river. Two friends started from a place A, moved to a temple situated at another place B and then returned to A again. One of them moves on a cycle at a speed of $12$ km/h while the other sails on a boat at a speed of $10$ km/h. If the river flows at the speed of $4$ km/h which of the two friends will return to place A first ?

A man can row 7 km per hour in still water. If the stream is flowing at the rate of 5 km per hour, it takes him 7 hours to row to a place and return, how far is the place?