MBA Exam

What is exponent of 11 in C(1000,500)

1) 20
2) 0
3) 4
4) 121

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MBA Other Question

The product of ten positive real numbers Pi where i = 1, 2, 3, …… 10 is 1/100 . What is the minimum value of the expression (p210 + 1) (p29 + p1) (p28+ p2) (p27+ p3) (p26+ p4) (p25 + p5) (p24+ p6) (p23 + p7) (p22 + p8) (p21 + p9) (12+ p10) ?

1) (4/sqrt(5))<sup>2</sup>
2) (3/2 sqrt(5))<sup>2</sup>
3) (18/5 sqrt(5))<sup>2</sup>
4) (16/5 sqrt(5))<sup>2</sup>
Let n be a natural number, and M = 5^n. If E = 3^M and E + 1 is divided by 7, then the remainder is

1) 5, when n is 212 and 4, when n is 225.
2) 4, when n is 222 and 6, when n is 225.
3) 6, when n is 222 and 5, when n is 215.
4) 6, when n is 212 and 4, when n is 215.
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