SSC CPO 2022 PYQ — Question 120

SSC CPO - 11 Nov 2022 - Shift 3 • Quantitative Aptitude • Q120

In the given figure, DE || BC. IF AD = 5 cm, DB = 10 cm, and AE = 8 cm, then AC is 

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 24 cm

Given that

DE || BC. IF AD = 5 cm, DB = 10 cm, and AE = 8 cm

According to the question

ADE and ABC are similar triangles 

AD/AB = AE/AC

5/(5 + 10) = 8/AC

AC = 8 × 3 = 24 cm