Two equations are given: (i) $ $\sqrt{A} \times b \times (C + 1) = 24$ $ where $ C $ is the lar

Two equations are given: (i) < s p a n c l a s s = " k a t e x " > < s p a n c l a s s = " k a t e x − m a t h m l " >...

Banking SBI PO Prelims Medium Alphanumeric Series MCQ

Question

Two equations are given:

(i) $<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msqrt><mi>A</mi></msqrt><mo>×</mo><mi>b</mi><mo>×</mo><mo stretchy="false">(</mo><mi>C</mi><mo>+</mo><mn>1</mn><mo stretchy="false">)</mo><mo>=</mo><mn>24</mn></mrow><annotation encoding="application/x-tex">\sqrt{A} \times b \times (C + 1) = 24</annotation></semantics></math>A<svg xmlns="http://www.w3.org/2000/svg" width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z"/></svg>×b×(C+1)=24$ where $C$ is the largest even prime number.

(ii) $<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><mi>A</mi><mo>+</mo><mi>X</mi><mo>−</mo><mi>Y</mi><msup><mo stretchy="false">)</mo><mn>2</mn></msup><mo>=</mo><mn>49</mn></mrow><annotation encoding="application/x-tex">(A + X - Y)^2 = 49</annotation></semantics></math>(A+X−Y)2=49$

Find the value of $A + X + Y$ .

Statement (I): Roots of the equation $<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>X</mi><msup><mi>m</mi><mn>3</mn></msup><mo>+</mo><mi>Y</mi><msup><mi>m</mi><mn>2</mn></msup><mo>−</mo><mn>2</mn><mi>m</mi><mo>−</mo><mn>3</mn><mo>=</mo><mn>0</mn></mrow><annotation encoding="application/x-tex">X m^3 + Y m^2 - 2m - 3 = 0</annotation></semantics></math>Xm3+Ym2−2m−3=0$ are $(m - 1)$ and $(m + 1)$ .

Statement (II): $A = Y + 5$ and $3X + A = 14$ .

Which of the following options is correct regarding the sufficiency of the statements to answer the question?

Options

Neither statement (I) nor statement (II) alone is sufficient to answer the question.

Statement (II) alone is sufficient to answer the question but statement (I) alone is not sufficient to answer the question.

Either statement (I) or statement (II) alone is sufficient to answer the question.

Both statements together are necessary to answer the question, but neither alone is sufficient.

Statement (I) alone is sufficient to answer the question but statement (II) alone is not sufficient to answer the questions

data sufficiencyalgebraequationsreasoning ability

Two equations are given: (i) < s p a n c l a s s = " k a t e x " > < s p a n c l a s s = " k a t e x − m a t h m l " >...

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Two equations are given: (i) &lt; s p a n c l a s s = &quot; k a t e x &quot; &gt; &lt; s p a n c l a s s = &quot; k a t e x − m a t h m l &quot; &gt;...

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Two equations are given: (i) < s p a n c l a s s = " k a t e x " > < s p a n c l a s s = " k a t e x − m a t h m l " >...