CAT 2024 Question Paper | Quant Slot 2

CAT Questions

CAT 2024 Quant was dominated by Algebra followed by Arithmetic. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 5 $A B C D$ is a trapezium in which $A B$ is parallel to $C D$. The sides $A D$ and $B C$ when extended, intersect at point $E$. If $A B=2 \mathrm{~cm}, C D=1 \mathrm{~cm}$, and perimeter of $A B C D$ is 6 cm , then the perimeter, in cm , of $\triangle A E B$ is

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Video Explanation

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Explanatory Answer

By AAA similarity, $\triangle$ AEC is similar to $\triangle DEC$ $$A B / D C=A E / D E=B E / C E=2 / 1$$ Therefore DE $=x cm$ and CE $=y cm$ Now Perimeter of triangle AEB $=2+2 x+2 y=2+2(x+y)=2+2(3)=8 cm$

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The question is "$A B C D$ is a trapezium in which $A B$ is parallel to $C D$. The sides $A D$ and $B C$ when extended, intersect at point $E$. If $A B=2 \mathrm{~cm}, C D=1 \mathrm{~cm}$, and perimeter of $A B C D$ is 6 cm , then the perimeter, in cm , of $\triangle A E B$ is"

Hence, the answer is '8'

Choice C is the correct answer.

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