Xavier Aptitude Test 2021 Paper

Question : 7 of 100

Marks: +1, -0

Rajesh, a courier delivery agent, starts at point $\A$ and makes a delivery each at points $\B$ , $\C$ and $\D$ , in that order. He travels in a straight line between any two consecutive points. The following are known: (i) $\AB$ and $\CD$ intersect at a right angle at $\E$ , and (ii) $\BC$ , $\CE$ and $\ED$ are respectively $1.3 \km$ , $0.5 \km$ and $2.5 \km$ long. If $\AD$ is parallel to $\BC$ , then what is the total distance (in km) that Rajesh covers in travelling from $\A$ to $\D$ ?

10.2
12
11.5
5.5
18

Validate

Solution:

Given,

\CE =0.5

\BC = 1.3

and

\ED=2.5

Triangle

\CEB

is a right-angled triangle

⇒ \EB = 1.2

Triangles

\ECB

is similar to triangle

\EDA

\EB/\EC = \AE/\ED ⇒ \AE = 6

Hence total distance travelled

= \AB + \BC + \CD = 7.2 + 1.3 + 3.5 = 11.5 \km

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