Management Aptitude Test Dec 2019 Paper

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Question : 118 of 200

Marks: +1, -0

A race course is

400 {\m}

long.

\A

and

\B

run a race and

\A

wins by

5 {\m}

. B and

\C

run over the same course and

\B

wins by

4 {\m}

. C and

\D

run over it and

\D

wins by

16 {\m}

. If

\A

and

\D

run over it, then who would win and by how much?

$\A,$ by $8.4 {\m}$
$\D$ , by $8.4 {\m}$
$\D$ , by $7.3 {\m}$
$\A,$ by $7.2 {\m}$

Solution:

If

\A

covers

400 {m}, B

covers

395 {m}

If

\B

covers

400 {m}, C

covers

396 {m}

If

\D

covers

400 {m}, C

covers

384 {m}

Now, if

B

covers

395 {m}

, then

C

will cover

{396}/{400} ×395=39105 {\m}

∴

If

\C

covers

391.05 {\m},

then

D

will cover

{400}/{384} × 391.05=407.34 {m}

If

A

and

D

run over

400 {\m}

, then

D

wins by

7.34 {\m}

approximately

7.3 {\m}

.

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