MBA Exam

In a class of 30 students, there are 2 categories of students:Liars: who always lie.Truth Tellers: who always speak the truth.These students make three different statements as follows:Statement I : 7 of them say “ There are exactly 7 Liars in this class”Statement II : 8 of them say “ There are exactly 8 Liars in this class”Statement III : The rest of them say “ There are exactly 15 Liars in this class”.How many Liars are there in the class?

1) 7
2) 8
3) 23
4) 22
5) 15

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MBA Other Question
In how many ways can 2700 be written as a product of 8 distinct integers?(a) 6 (b) 0 (c) 4 (d) More than 6

1) a
2) b
3) c
4) d
 What is the number of common tangents of the circles x^2 + y^2 – 2x – 2y – 23 = 0 and x^2 + y^2 – 12x– 26y + 141 = 0?(a) 0 (b) 2 (c) 3 (d) 4

1) a
2) b
3) c
4) d