RRB Paramedical Staff Nurse Model Paper 1

Question : 42 of 100

Marks: +1, -0

Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then the ratio of the shorter side to the longer side is

Validate

Solution:

Let, longer side be 'ℓ'
And shorter side be 'b',
Then,

√{ℓ^{2}+b^{2}}=ℓ+b-\;{ℓ}/{2}=\;{ℓ}/{2}+b

ℓ^{2}+b^{2}=\;{ℓ^{2}}/{4}+b^{2}+ℓ b

3 ℓ^{2}=4 ℓ b

{ℓ}/{b}=\;{4}/{3}

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