MBA Exam

There are n students, comprising some boys and some girls, to be arranged in a row. The ratio of the number of ways of arranging them such that all boys sit together to the number of ways of arranging them such that all girls sit together is 3. If two more students are added, the ratio becomes 2. Find the value of n.

1) 14
2) 13
3) 12
4) cannot be determine.

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MBA Other Question
There are 8 bags of rice looking alike,seven of which have equal weight and one is slightly heavier.The weighing balance is of unlimited capacity.Using this balance,the minimum number of weighing required to identify the heavier bag is(please share ur approach if u get the ans)

1) 2
2) 3
3) 4
4) 8
 There are 30 cards. Each card has a single number written on it, such that all the integers from 1 to 30 are represented in the cards. Two cards (which have numbers a and b written on them) are arbitrarily chosen, and are removed from the pack. The above two cards are replaced with a single card, on which the number (ab + a + b) is written. This constitutes one operation. After 29 such operations, what will be the number written on the sole surviving card?1) 31! − 1 2) 15 × 31 3) 30! − 1 4) 31! + (15 × 31) 5) 30! + (15 × 31) − 1

1) 1
2) 2
3) 3
4) 4
5) 5