questionr
Early access
Exams
Joint Entrance Examination
Mathematics
Permutations and Combinations
Question 30
Question 30 of 278
Hard
MCQ
Let \[[t]\] be the greatest integer less than or equal to
t
t
t
. Let
A
A
A
be the set of all prime factors of 2310 and \[f: A \rightarrow \mathbb{Z}\] be the function \[f(x)=\left[\log _2\left(x^2+\left[\frac{x^3}{5}\right]\right)\right]\]....
A
20
B
120
C
25
D
24
Check answer
Press A-D to select · Enter to check
Solutions · 1
Post your solution
Official solution
A
=
2
,
3
,
5
,
7
,
11
f
(
x
)
=
[
log
2
(
x
2
+
[
x
3
5
]
)
]
f
(
x
)
=
2
,
3
,
5
,
6
,
8
\begin{gathered} A={2,3,5,7,11} \\ f(x)=[{\log }_{2}({x}^{2}+[\frac{{x}^{3}}{5}])] \\ f(x)={2,3,5,6,8} \end{gathered}
A
=
2
,
3
,
5
,
7
,
11
f
(
x
)
=
[
lo
g
2
(
x
2
+
[
5
x
3
])]
f
(
x
)
=
2
,
3
,
5
,
6
,
8
A
→
R
f
A\to {R}_{f}
A
→
R
f
5
×
4
×
3
×
2
×
1
=
120
5\times 4\times 3\times 2\times 1=120
5
×
4
×
3
×
2
×
1
=
120
Answer the question to unlock
Previous
Next