Xavier Aptitude Test 2014 Paper

Question : 64 of 103

Marks: +1, -0

There are two squares

S_1

and

S_2

, with areas 8 and 9 units, respectively.

S_1

is inscribed within

S_2

, with one corner of

S_1

on each side of

S_2

, The corners of the smaller square divides the sides of the bigger square into two segments, one of length ‘a’ and the other of length ‘b’, where, b > a. A possible value of ‘b/a’, is:

≥ 5 and < 8
≥ 8 and < 11
≥ 11 and < 14
≥ 14 and < 17
> 17

Validate

Solution:

(d)

Area of

\ {S}_{1}=8

⇒{a}^{2}+(3-\ {a})^{2}=8

⇒ 2 {a}^{2}-6 {a}+1=0

\ {a}= {3}/{2} \± {\√{7}}/{2}

\⇒{a}=0.18, {b}=3-\ {a}=2.82

\∴\ {b} / {a}=15.66

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