In the given figure, is the line segment PO equal to the line segment OQ? I. a^2 = c^2 and b^2 = d^2 II. Line PQ bisects the angle formed by x-axis and y-axis.

Data Sufficiency Practice Test 2

PRACTICE EXERCISE (LEVEL 2)

Directions (21−36): Each question given below has a problem and two statements numbered I and II giving certain information. You have to decide if the information given in the Statements Is sufficient for answering the problem. Read both the statements and give your answer.
(1) Data in Statement I alone are sufficient to answer the questions;
(2) Data in Statement II alone are sufficient answer the question;
(3) Data either in I or II alone are sufficient to answer the question;
(4) Data even in both the statements together are not sufficient to answer the question;
(5) Data in both the statements together are needed.

Question : 30 of 60

Marks: +1, -0

In the given figure, is the line segment PO equal to the line segment OQ?

a^2 = c^2

and

b^2 = d^2

II. Line PQ bisects the angle formed by x-axis and y-axis.

Validate

Solution:

Using Statement I:

OP=√{(a^2-0^2)+(b^2-0^2)}

=√{a^2+b^2}

OQ=√{(c^2-0^2)+(d^2-0^2)}

=√{c^2+d^2}

Now

a^2=c^2

and

b^2 = d^2

So, PO = OQ
Hence, solution can be derived by using only Statement I.

Go to Question:

Prev Question

Next Question