MBA Exam

Find the number of ways in which we can arrange 2n letters X 1, X 2,.......X n and Y 1, Y 2,.........Y nin a line so that the suffixes of the letters ‘x’ and those of the letters ‘y’ are respectively in ascending order of magnitude.

1) 1
2) n
3) <sup>
n
</sup>
C
<sub>
1
</sub>
+
<sup>
n
</sup>
C
<sub>
2
</sub>
+
<sup>
n
</sup>
C
<sub>
3
</sub>
+.....+
<sup>
n
</sup>
C
<sub>
n
</sub>
4) 2
<sup>
n
</sup>
[135.......(2n-1)/n!

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MBA Other Question

If x, y, z are any real numbers then the minimum possible value of x2 + 2y2 + z2 + 2yz subject of x + 2y + z = –6 is

1) -6
2) 6
3) 12
4) None of these
Find the no. of 4-digit numbers between 1000 and 8000, which are perfectly divisible by 7.

1) 1001
2) 1000
3) 1002
4) 999