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06 Nov 2019, 06:45
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E
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Difficulty:
65%
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Question Stats:
61% (02:24) correct
39%
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wrong
based on 389
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A marching band of 240 musicians are to march in a rectangular formation with s rows of exactly t musicians each. There can be no less than 8 musicians per row and no more than 30 musicians per row. How many different rectangular formations are possible?
A. 3
B. 4
C. 5
D. 6
E. 8
Are You Up For the Challenge: 700 Level Questions
A. 3
B. 4
C. 5
D. 6
E. 8
Are You Up For the Challenge: 700 Level Questions
06 Nov 2019, 07:50
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s*t=240= 2^4*3*5
Also 30≥t≥8
hence, we have to count the number of factors of 240 that lies in range 8-30(both inclusive)
Total possible rectangular formations= (5*2*2)- (2*6)= 8
Also 30≥t≥8
hence, we have to count the number of factors of 240 that lies in range 8-30(both inclusive)
Total possible rectangular formations= (5*2*2)- (2*6)= 8
Bunuel
06 Nov 2019, 09:18
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given
s*t= 240
and s & t cannot be <=8 and >=30
possible pairs ( 8,30) ( 30,8) ( 10,24) ( 24,10) ( 12,20) (20,12) ( 15,16) ( 16,15)
total 8 pairs possible
IMO E
s*t= 240
and s & t cannot be <=8 and >=30
possible pairs ( 8,30) ( 30,8) ( 10,24) ( 24,10) ( 12,20) (20,12) ( 15,16) ( 16,15)
total 8 pairs possible
IMO E
Bunuel
