# CAT 2018 Quant Questions

Question:
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?

 s≥6 s≠6 s≤6 5≤s≤7
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We can see that area of parallelogram ABCD = 2*Area of triangle ACD

48 = 2*Area of triangle ACD

Area of triangle ACD = 24

$(1/2)*CD*DA*sinADC = 24$

$AD*sinADC = 6$

We know that $sin\theta$ $\le$ 1, Hence, we can say that AD $\ge$ 6

$\Rightarrow$ s $\ge$ 6

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