SATHEE: Quantitative Aptitude Ques 262

Quantitative Aptitude Ques 262

Question: The ratio between three angles of a quadrilateral is 14: 8: 11, respectively. The value of the fourth angle of the quadrilateral is $ 63{}^\circ . $ What are the sum of the largest and third largest angles of the quadrilateral? [LIC (AO) 2015]

Options:

A) $ 198{}^\circ $

B) $ 154{}^\circ $

C) $ 182{}^\circ $

D) $ 242{}^\circ $

E) $ 196{}^\circ $

Show Answer

Answer:

Correct Answer: A

Solution:

The ratio between three angles of a quadrilateral is 14 : 8 : 11 and fourth angle of quadrilateral is $ 63{}^\circ $ Then, we know that $ 14x{}^\circ +8x{}^\circ +11x{}^\circ +63{}^\circ =360{}^\circ $

$ \Rightarrow $ $ 33x{}^\circ =297 $

$ \Rightarrow $ $ x{}^\circ =9{}^\circ $ Then, the angles of quadrilateral are $ 126{}^\circ , $ $ 72{}^\circ , $ $ 99{}^\circ $ and $ 63{}^\circ $ (given).

$ \therefore $ Largest angle $ =126{}^\circ $ Third largest angle $ =72{}^\circ $ Sum $ =126{}^\circ +72{}^\circ =198{}^\circ $

Quantitative Aptitude Ques 261

Quantitative Aptitude Ques 263

Quantitative Aptitude Ques 262

Question: The ratio between three angles of a quadrilateral is 14: 8: 11, respectively. The value of the fourth angle of the quadrilateral is $ 63{}^\circ . $ What are the sum of the largest and third largest angles of the quadrilateral? [LIC (AO) 2015]

Options:

Answer:

Solution:

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