1
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

Total number of 3-digit numbers, whose g.c.d with 36 is 2 , is

A
140
B
150
C
165
D
170
2
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\frac{z-1}{2 z+1}$ is an imaginary number and if it represents a circle then its radius is

A
$\frac{9}{16}$ units
B
$\frac{3}{4}$ units
C
$\frac{1}{4}$ units
D
$\frac{1}{2}$ units
3
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\int \tan ^4 x \mathrm{~d} x=\mathrm{a} \tan ^3 x+\mathrm{b} \tan x+\mathrm{c} x+\mathrm{k}$ (where k is the constant of integration) then the value of $\mathrm{a}-\mathrm{b}+\mathrm{c}=$

A
$\frac{7}{3}$
B
$\frac{5}{3}$
C
$\frac{4}{3}$
D
$\frac{1}{3}$
4
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The lines $\frac{x-3}{1}=\frac{y-2}{1}=\frac{z-5}{-k}$ and $\frac{x-4}{\mathrm{k}}=\frac{y-3}{1}=\frac{\mathrm{z}-3}{2}$ are coplanar, hence $\mathrm{k}=$

A
1,2
B
$-2,3$
C
$-1,2$
D
$\frac{1}{2}, 1$

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