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CAT 1995 — QA Question 47

Data SufficiencyEasy

Direction: Each of these questions is followed by two statements, I and II. Mark the answer as

1. if the question can be answered with the help of statement I alone.
2. if the question can be answered with the help of statement II alone.
3. if both statement I and statement II are needed to answer the question.
4. if the question cannot be answered even with the help of both the statements.

What is the length of rectangle ABCD?

I. Area of the rectangle is 48 square units.
II. Length of the diagonal is 10 units.

Answer & solution

Correct answer: 3

Answer: 3

Solution

This can be solved using both the statements together.
From statement I, we know that L × B = 48 or B = L48.

From statement II, we know L2 + B2 = 100
Combining statements I and II,

L2+(L48)2=100.

L is the only unknown in this equation and can be found out.

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CAT 1995 QA Q47: Direction: Each of these questions is followed by two statements, I and II. Mark the answer as 1. if the quest — Solution | TheCATExam