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 $=6$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from permutation and combination→permutation and combination — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Let $a, b, c, d, e$ be real numbers such that $a + b < c + d$, $b + c < d + e, c + d < e + a, d + e < a + b$. Then,

The equations of the tangents to the circle ${x^2} + {y^2} - 6x + 4y = 12$ which are parallel to the straight line $4x + 3y + 5 = 0$, are

The line $x + y = p$ meets the axis of $x\, \& \,y$ at $A\, \& \,B$ respectively . A triangle $APQ$ is inscribed in the triangle $OAB$, $O$ being the origin, with right angle at $Q . P$ and $Q$ lie respectively on $OB$ and $AB$ . If the area of the triangle $APQ$ is $3/8^{th}$ of the area of the triangle $OAB$, then $\frac{{A\,Q}}{{B\,Q}}$ is equal to :

The normal at $\left( {2,\frac{3}{2}} \right)$ to the ellipse, $\frac{{{x^2}}}{{16}} + \frac{{{y^2}}}{3} = 1$ touches a parabola, whose equation is

If $z_{1}, z_{2}$ are complex numbers such that $\operatorname{Re}\left(z_{1}\right)=\left|z_{1}-1\right|, \operatorname{Re}\left(z_{2}\right)=\left|z_{2}-1\right|$ and $\arg \left(z_{1}-z_{2}\right)=\frac{\pi}{6},$ then $\operatorname{Im}\left(z_{1}+z_{2}\right)$ is equal to

If $A + B + C = \frac{\pi }{2}$ ,then value of $tanA\,\, tanB + tanB\,\, tanC + tanC\,\, tanA$ is

If events A and B are independent and P(A) = 0.15, P(A ∪ B) = 0.45, then P(B)=:

$\tan \left( {\frac{\pi }{4} + \theta } \right) - \tan \left( {\frac{\pi }{4} - \theta } \right) = $

Two integers are selected at random from the set $\{1, 2, …, 11\}.$ Given that the sum of selected numbers is even, the conditional probability that both the numbers are even is

Let $f(x) = 4$ and $f'(x) = 4$, then $\mathop {\lim }\limits_{x \to 2} \,\frac{{xf(2) - 2f(x)}}{{x - 2}}$ equals