Latest Elitmus Aptitude Question SOLUTION: Square A is formed with the diagonal of square B as its sides and square B has the diagonal of square C as its side? Find the ratio of the area of square C to square A?

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(#M40032805) ELITMUS Numerical Ability question Ratio and proportion Keep an EYE

Square A is formed with the diagonal of square B as its sides and square B has the diagonal of square C as its side? Find the ratio of the area of square C to square A?

Asked In Elitmus Ankit Boae (10 years ago)

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RAKESH  (10 years ago)

-----------correction in previous soln-------
ans 1:4

let side of square C is = x => area of square C = x^2

diagonal of C = √2* x =side of square B

diagonal of B = √2*(√2* x)= 2x = side of square A
=> area of square A = (2x)^2 = 4*x^2

reqd ratio =(area of square C )/ (area of square A) = x^2 /4*x^2 = 1:4

Is this solution Helpfull? Yes (37) | No (1)  

RAKESH  (10 years ago)

let side of square C is = x => area of square C = x^2

diagonal of C = √2* x =side of square B

diagonal of B = √2*(√2* x)= 2x = side of square A
=> area of square A = (2x)^2 = 4*x^2

reqd ratio =(area of square C )/ (area of square A) = 4*x^2 / x^2 = 4:1

ans 4:1

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basanagouda  (10 years ago)

1:4 i think

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aarizoo dosh  (10 years ago)

square C B A
SIDE a a x sqrt2 2a
DIAGONAL a x sqrt2 2a 2 x a x sqrt2
AREA a^2 2a^2 4a^2

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Sangita Sarkar  (10 years ago)

ans is:1:4

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Prashant saini  (9 years ago)

let side of square C is = x => area of square C = x^2

diagonal of C = √2* x =side of square B

diagonal of B = √2*(√2* x)= 2x = side of square A
=> area of A = (2x)^2 = 4*x^2

ratio =(area of C )/ (area of A) = 4*x^2 / x^2 = 4:1

ans 4:1

Is this solution Helpfull? Yes | No (2)  

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