CAT Quantitative Ability Questions | CAT Geometry questions
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FundaMakers as a team has taken a painstaking step to bring you all the video solutions of the Geometry asked in the Previous Year CAT exam. CAT question bank offered by FundaMakers is a power-packed topic-wise compilation of the entire CAT previous year questions. Questions from the Geometry topic are some of the most scoring questions in the QA section. Other than the formulaic knowledge, it also tests your clarity about the topic. To maximize your CAT score make use of FundaMakers CAT Question Bank. “Questions from CAT previous years” examination papers have been incorporated. Let’s get started with CAT Past Year Geometry Questions.
CAT/2017.2
Question . 55
The base of a vertical pillar with uniform cross section is a trapezium whose parallel sides are of lengths 10 cm and 20 cm while the other two sides are of equal length. The perpendicular distance between the parallel sides of the trapezium is 12 cm. If the height of the pillar is 20 cm, then the total area, in sq cm, of all six surfaces of the pillar is
Explanatory Answer
Method of solving this CAT Quantitative Ability Question from Geometry question
Correct Option: C
Solution:
As non-parallel sides are equal. Let the non-parallel sides be x cm.
Now there are 6 faces:- 2 faces are trapezoid and 4 faces are rectangular.
Area of trapezium :
(a and b are the sum of parallel sides,h is the height or distance between parallel sides.)
Area of 2 trapeziums =
Area of rectangles= base x height.
Area of 4 rectangles = = 2[13 × 20] + 20(20) + 10(20) = 1120 cm2
Total area = 1120 + 360 = 1480 cm2
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