1
JEE Main 2023 (Online) 12th April Morning Shift
+4
-1

The number of five digit numbers, greater than 40000 and divisible by 5 , which can be formed using the digits $$0,1,3,5,7$$ and 9 without repetition, is equal to :

A
132
B
72
C
120
D
96
2
JEE Main 2023 (Online) 11th April Evening Shift
+4
-1

If the letters of the word MATHS are permuted and all possible words so formed are arranged as in a dictionary with serial numbers, then the serial number of the word THAMS is :

A
103
B
104
C
102
D
101
3
JEE Main 2023 (Online) 11th April Morning Shift
+4
-1

The number of triplets $$(x, \mathrm{y}, \mathrm{z})$$, where $$x, \mathrm{y}, \mathrm{z}$$ are distinct non negative integers satisfying $$x+y+z=15$$, is :

A
136
B
80
C
92
D
114
4
JEE Main 2023 (Online) 10th April Evening Shift
+4
-1

Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most three persons, then the number of ways, in which they can be transported, is :

A
560
B
1680
C
3360
D
1120
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