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THERE ARE 150 STUDENTS WAITING FOR A BOAT TO CROSS A RIVER. THE STUDENTS HAVE TO BE DIVIDED INTO EQUAL GROUPS TO GET INTO DIFFERENT BOATS. IN HOW MANY WAYS CAN YOU GROUP THE STUDENTS SUCH THAT EACH GROUP HAS MORE THAN 5 STUDENTS AND LESS THAN 50 STUDENTS? EXPLAIN

For required solution first we find prime factors of 150 , As :

150 = 2 $\times $ 3 $\times $ 5 $\times $ 5

And

Multiples of 150 : 1 , 2 , 3 , 5 , 6 , 10 , 15 , 25 , 30 , 50 , 75 , 150

Here we can see that numbers that lies between 5 and 50 are : 6 , 10 , 15 , 25 and 30

Therefore,

**We can arrange students in group of 6 , 10 , 15 , 25 and 30 . ( Ans )**

Hope this information will clear your doubts about topic.

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