CAT DILR Questions | CAT Data Sufficiency questions

Comprehension

Directions for Questions: These questions are based on the information given below.

Mark,

(a) If one of the statement is sufficient to answer the question and another is not.

(b) If both the statements can answer the question independently.

(c) Both statements are required to answer the question.

(d) Question cannot be answered.

CAT/2000

Question . 47

In a triangle PQR, in which angle PQR is 90°. What is PQ+RQ?

(I) The diameter of in circle is 10 cm

(II) The diameter of circumcircle is 18 cm

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Explanatory Answer

Method of solving this CAT DILR Question from Data Sufficiency question

(c) Statement I gives you the length of none of sides of the ΔPQR.

Statement II gives you ‘n’ no. of right triangles inscribed in the semicircle.

Combining the two statements we can say that for the given right triangle and inradius, we can have only one triangle of which you know the hypotenuse. This is possible to find the summation of the other two sides.