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TANCET 2020 Solved Papers

Question Numbers: 21-40

PART II

DIRECTIONS: Data sufficiency problems consist of a question and two statements, labelled (I) and (II), in which certain data are given. You have to decide whether the data given in the statements is sufficient for answering the question. Use the data given, plus your knowledge of mathematics and every day facts, to mark your answer as

a. If the question can be answered with the help of statement I alone,

b. If the question can be answered with the help of statement II, alone,

c. If both, statement I and statement II are needed to answer the question, and

d. If the question cannot be answered even with the help of both the statements.

Question : 38 of 100

Marks: +1, -0

What is the length of rectangle ABCD ?

I. Area of the rectangle is 48 square units.

II. Length of the diagonal is 10 units.

If the question can be answered with the help of statement I alone,
If the question can be answered with the help of statement II, alone,
If both, statement I and statement II are needed to answer the question, and
If the question cannot be answered even with the help of both the statements.

Validate

Solution:

Concept:

Both area and diagonal are needed to form equations for length and breadth.

Explanation:

Let length be

l

and breadth be

b

From statement I:

lb = 48

From statement II: diagonal

= 10

, so

l^2 + b^2 = 10^2 = 100

Using both:

(l+b)^2 = l^2 + b^2 + 2lb = 100 + 96 = 196

So,

l + b = 14

Solving

lb = 48

and

l + b = 14

, we get

l = 8

b = 6

Thus, the length is 8 units.

Answer:

Both statements are needed together. Option C.

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