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amanvermagmat
In a cost-accounting class of a financial course, there are N students present on a particular day. If N is a two digit number, then what is the value of N?

(1) If 5 more students had been present in the class, they could have been evenly divided in groups of 7 each.

(2) If 6 more students had been present in the class, they could have been evenly divided in groups of 9 each.

St 1: N + 5 = 7k , Or N = 7k - 5 -------- (I) Insufficient as we have no info about N and k

N can be 2, 9, 16, 23, 30 etc

St 2: N + 6 = 9k , Or N = 9k - 6 -------(II) Insufficient as we have no info about N and k

N can be 3, 12, 21, 30 etc

We need to check to for some other values with formula : (LCM of 7 & 9) + (first common value)

63k + 30 : - common values are 30, 93 etc for different values of k (Combining Insufficient)

(E)
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