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

Please find below the solution to the asked query:

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

150 = 2 ×× 5  × 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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1.first divide the groups into 5 and each group will consist 30 students.
2.secondly divide the groups into 15 and each group will consist of 10 students.
3.you can also make a group into 10 and each group will consist of 15 students.
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Group of 30,15,10,25,1 and 75.
 
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