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Hello,
Could anyone please help me understand these questions?
1) Ques No.300 in ETS
The inside dimensions of a rectangular wooden box are 6 inches by 8 inches by 10 inches. A cylindrical cannister is to be placed inside the box so that it stands upright when the closed box rests on one of its 6 faces. Of all such cannisters that could be used, what is the radius, in inches, of the one that has maximum volume?
a)3
b)4
c)5
d)6
e)8
Answer - b
2) Ques 412
If n is a positive integer and n2(n square) is divisible by 72, then the largest positive integer that must divide n is
a)6
b)12
c)24
d)36
e)48
Answer - b
3) Ques 424
If n is a positive integer less than 200 and 14n/60 is an integer, then n has how many different positive prime factors ?
a)2
b)3
c)5
d)6
e)8
Answer - b
Please tell me if there is some trick to solve questions like (2) and (3)
Thanks,
Shipra
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