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 Morning Shift
MCQ (Single Correct Answer)
+2
-0
The number of ways, in which 6 boys and 5 girls can sit at a round table, if no two girls are to sit together, is
A
518400
B
14400
C
86400
D
17280
3
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

A five digit number divisible by 3 is to be formed using the digits $0,1,2,3,4,5$ without repetition, then the total number of ways this can be done is

A
216
B
240
C
96
D
120
4
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Eight chairs are numbered 1 to 8 . Two women and three men wish to occupy one chair each. First the women choose chairs from amongst the chairs marked 1 to 4 , and then the men select the chairs from amongst the remaining. The number of possible arrangements is

A
${ }^6 \mathrm{C}_3 \times{ }^4 \mathrm{C}_2$
B
${ }^4 \mathrm{P}_2 \times{ }^6 \mathrm{P}_3$
C
${ }^4 C_2+{ }^4 P_3$
D
${ }^4 \mathrm{P}_2+{ }^6 \mathrm{P}_3$
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