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Disjoint Sets

Assertion :St...

Question

Assertion :Statement 1: $(666...... n d i g i t s)^{2} + (888...... n d i g i t s) = (444....2 n d i g i t s)$ and Reason: Statement 2 : $⎛ ⎝ 111....1      12 t i m e s ⎞ ⎠$ is a prime number

STATEMENT -1 is true , STATEMENT -2 is true;STATEMENT 2 is NOT a correct explanation for STATEMENT -1

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STATEMENT -1 is true , STATEMENT -2 is true;STATEMENT 2 is a correct explanation for STATEMENT -1

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STATEMENT -1 is true , STATEMENT -2 is False

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STATEMENT -1 is false , STATEMENT -2 is true

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Solution

The correct option is C STATEMENT -1 is true , STATEMENT -2 is False
Statement 1 is true and statement 2 is false
Statement 1:
${(66)}^{2} + (88) = 4444 4356 + 88 = 4444 4444 = 4444 {(666)}^{2} + (888) = 444444 443556 + 888 = 444444 444444 = 444444$

Statement 2:
If we take 1 and 11, the statement is satisfied, but for 111 which is divisible by 3 and 37, it is a composite number.
Thus, if $(111.... n)$ when $n$ is a multiple of 3. The number is composite
Hence statement is false.

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