SATHEE: Quantitative Aptitude Ques 1683

Quantitative Aptitude Ques 1683

Question: ABC and XYZ are two similar triangles with $ \angle C=\angle Z, $ whose areas are respectively $ 32cm^{2} $ and $ 60.5cm^{2}. $ If $ XY=7.7cm, $ then what is AB equal to?

Options:

A) $ 5.6cm $

B) $ 5.8cm $

C) $ 6.0cm $

D) $ 6.2cm $

Show Answer

Answer:

Correct Answer: A

Solution:

For similar triangles, ratio of areas is equal to the ratio of the squares of any two corresponding sides. Here, $ \frac{areaof\Delta ABC}{areaof\Delta XYZ}=\frac{AB^{2}}{XY^{2}} $

$ \Rightarrow $ $ \frac{32}{60.5}=\frac{AB^{2}}{{{(7.7)}^{2}}} $

$ \Rightarrow $ $ \frac{32\times 59.29}{60.5}=AB^{2} $

$ \Rightarrow $ $ 31.36=AB^{2} $

$ \therefore $ $ AB=\sqrt{31.36}=5.6cm $

BETA

Privacy Policy

Powered by Prutor@IITK

sathee@iitk.ac.in

Media coverage of SATHEE

Play Store

App Store

The Ministry of Education has launched the SATHEE initiative in association with IIT Kanpur to provide free guidance for competitive exams. SATHEE offers a range of resources, including reference video lectures, mock tests, and other resources to support your preparation. Please note that participation in the SATHEE program does not guarantee clearing any exam or admission to any institute.

Quantitative Aptitude Ques 1683

Question: ABC and XYZ are two similar triangles with $ \angle C=\angle Z, $ whose areas are respectively $ 32cm^{2} $ and $ 60.5cm^{2}. $ If $ XY=7.7cm, $ then what is AB equal to?

Options:

Answer:

Solution:

Bank Preparation

Bank Courses

NCERT Books

Important Resources

Forum