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CAT Previous Year Paper | CAT Mensuration Questions | Question 15

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Question 15 : 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. 5 ≤ s ≤ 7
  4. s ≤ 6

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Explanatory Answer

Method of solving this CAT Question from Mensuration
CAT 2018 Question Paper Quants Slot 2 Mensuration

Given that a parallelogram ABCD has an area 48 sq cm. The length of CD is 8 cm and that of AD is s cm
Since the area given here is 48 sq.cm the height can be found as 6 sq.cm
We have to find which of the following options is necessarily true

CAT 2018 Question Paper Quants Slot 2 Mensuration

Since this (shaded portion) is a right angled triangle with 6 as its height and s as its hypotenuse so we can assure that s ≥ 6 and s cannot be less than 6 so we can eliminate the other options.
By this we can come to the conclusion that s ≥ 6

The question is "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? "

Hence, the answer is s ≥ 6

Choice A is the correct answer.

 

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