1
MHT CET 2022 11th August Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$[x]$$ is greatest integer function and $$2[2 x-5]-1=7$$, then $$x$$ lies in

A
$$\left(\frac{9}{2}, 5\right)$$
B
$$\left(\frac{9}{2}, 5\right]$$
C
$$\left[\frac{9}{2}, 5\right]$$
D
$$\left[\frac{9}{2}, 5\right)$$
2
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$f(x)=[8 x]-3$$, where $$[x]$$ is greatest integer function of $$x$$, then $$f(\pi)=$$ (where $$\pi=3,14$$)

A
21
B
25
C
23
D
22
3
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If f(x) = 3[x] + 5{x + 1}, where [x] is greatest integer function of x and {x} is fractional part function of x, then f($$-$$1.32) =

A
$$-$$4.6
B
$$-$$2.6
C
$$-$$7.4
D
$$-$$3.4
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let $$A=[a, b, c, d], B=[1,2,3]$$. Relation $$R_1, R_2, R_3, R_4$$ are as follows :

$$\begin{aligned} & R_1=[(\mathrm{a}, 1),(\mathrm{b}, 2),(\mathrm{c}, 1),(\mathrm{d}, 2)] \\ & \mathrm{R}_2=[(\mathrm{a}, 1),(\mathrm{b}, 1),(\mathrm{c}, 1),(\mathrm{d}, 1)] \\ & \mathrm{R}_3=[(\mathrm{a}, 2),(\mathrm{b}, 3),(\mathrm{c}, 2),(\mathrm{d}, 2)] \\ & \mathrm{R}_4=[(\mathrm{a}, 1),(\mathrm{b}, 2),(\mathrm{a}, 2),(\mathrm{d}, 3)] \text {, then } \end{aligned}$$

A
only $$R_3$$ and $$R_4$$ are not functions
B
only $$\mathrm{R}_1$$ and $$\mathrm{R}_2$$ are not functions.
C
only $$R_3$$ is not a function.
D
only $$R_4$$ is not a function.
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