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CAT 2018 [SLOT 2] Quant Question with Solution 20

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?

  1. s≥6
  2. s≠6
  3. s≤6
  4. 5≤s≤7
Show Answer
Correct Answer: 1

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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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