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Encoding and Decoding Patterns

Statements: Z...

Question

Statements: Z # N, F © N, F * K

Conclusions:
I. K $ N
II. K @ Z

A

Only conclusion I is true

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B

Only conclusion II is true

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C

Either conclusion I or II is true

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D

Neither conclusion I nor II is true

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E

Both conclusions I and II are true

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Solution

The correct option is B
Only conclusion II is true

$\begin{matrix} S y m b o l & R e p r e s e n t s : @ & > © & \geq * & \leq $ & = # & < \end{matrix}$
We get, Z < N $\leq$ F $\leq$ K and K = N is not always true.
Hence, only conclusion II is true.

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Similar questions

f : C \to C

be a function defined as

f (z) = \frac{z + i}{z - i}

for all complex numbers

z \neq i

z_{n} = f (z_{n - 1})

n \in N

z_{0} = K + i

z_{2020} = 1 + 2020 i

, then the value of

(\frac{1}{K})

f : Z \to Z

f (n) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} 2, & if n = 3 k, & k \in Z 10 - n, & if n = 3 k + 1, & k \in Z 0, & if n = 3 k + 2, & k \in Z \end{matrix}

S = {n \in Z : f (n) > 2},

then the sum of the positive elements in

S

f

N \to N

f (n) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} 2, n = 3 k, & k \in Z 10 - n, n = 3 k + 1, & k \in Z 0, n = 3 k + 2, & k \in Z \end{matrix}

{n \in N : f (n) > 2} =

f : C \to C

be a function defined as

f (z) = \frac{z + i}{z - i}

for all complex numbers

z \neq i

z_{n} = f (z_{n - 1})

n \in N

z_{0} = K + i

z_{2020} = 1 + 2020 i

, then the value of

(\frac{1}{K})

z_{1}, z_{2}, z_{3} . . . . . n_{n}

are n^th, roots of unity, then for k = 1, 2, ....., n

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