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CAT 2018 Question Paper | Quants Slot 2

CAT Previous Year Paper | CAT Mensuration Questions | Question 15

This is by far the easiest of all the questions in the CAT 2018 Question Paper. Lay your hands on this question and see how quickly you are able to get to the crux of the solution. Although Geometry might appear to be a leviathan of a concept in the CAT Syllabus, you can expect 1 or 2 easy questions. Solve this easy question from CAT 2018 Question paper right away!

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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