1
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
n$$-$$digit numbers are formed using only three digits 2, 5 and 7. The smallest value of n for which 900 such distinct numbers can be formed, is :
A
6
B
7
C
8
D
9
2
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
The number of ways in which 5 boys and 3 girls can be seated on a round table if a particular boy B1 and a particular girl G1 never sit adjacent to each other, is :
A
5 $$\times$$ 6!
B
6 $$\times$$ 6!
C
7!
D
5 $$\times$$ 7!
3
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
If all the words, with or without meaning, are written using the letters of the word QUEEN and are arranged as in English dictionary, then the position of the word QUEEN is :
A
44th
B
45th
C
46th
D
47th
4
JEE Main 2017 (Offline)
+4
-1
A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in this party, is:
A
468
B
469
C
484
D
485
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