There are 30 questions in a multiple-choice test.A student gets 1… - Vidyadip

MCQ

There are $30$ questions in a multiple-choice test.$A$ student gets $1$ mark for each unattempted question, $0$ mark for each wrong answer and $4$ marks for each correct answer. A student answered $x$ questions correctly and scored $60$.Then, the number of possible value of $x$ is

A
$15$
B
$10$
✓
$6$
D
$5$

✓

Answer

Correct option: C.

$6$

c
(c)

Let the student answered correct $=x$

Student answer wrong $=y$

Student unattempted $=z$

According to the question,

$x+y+z=30$, and $4 x+z=60$

$x=15, y=15, z=0$

$x=14, y=12, z=4$

$x=13, y=9, z=8$

$x=12, y=6, z=12$

$x=11, y=3, z=16$

$x=10, y=0, z=20$

Total number of cases $=6$

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