CAT 2018 Question Paper Shift 2 Solved Paper

Question : 74 of 100

Marks: +1, -0

A parallelogram ABCD has area 48 sqcm. If the length of CD is 8 cm and that of AD is s cm, then which one of the following is necessarily true?
Options

5 ≤ s ≤ 7
s ≤ 6
s ≠ 6
s ≥ 6

Validate

Solution:

We can see that area of parallelogram

{ABCD}=2 ×

Area of triangle

{ACD}

48=2 ×

Area of triangle

{ACD}

Area of triangle

A C D=24

(1 {/} 2) × C D × D A × \sin A D C=24

A D × \sin A D C=6

We know that

\sin θ ≤ 1,

Hence, we can say that

{AD} ≥ 6

⇒ {s} ≥ 6

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