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27 Jul 2006, 15:55
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Why?????
If N is a positive integer, is the units digits of N iqual to 0 (zero)
1) 14 and 35 are factors of N
2) N=(2^5)*(3^2)*(5^7)*(7^6)
Answer: D
If N is a positive integer, is the units digits of N iqual to 0 (zero)
1) 14 and 35 are factors of N
2) N=(2^5)*(3^2)*(5^7)*(7^6)
Answer: D
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27 Jul 2006, 15:59
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MANRED
Yes, D it is.
I. since 14 and 35 are factors, its LCM is : 2*7*5 = 70 ..Now, the min. value N can be have is 70 or 70*x (x being +ve integer) .. Implies units digit is 0.
II. N's value is given, so we can calculate if units digit is 0 or not.
D.
27 Jul 2006, 17:54
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MANRED
Yes or No question...
1. If 14 and 35 are factors of N, we know that 14 = 2*7 and 35 = 5*7. If you multiply 2*5*7 = unit digit is equal to 0. Yes...Suff...
2. Since we are only interested in the units digit only,
2^5 = some number with unit digit of 2
3^2= 9
5^7= some number with unit digit of 5
7^6= some number with unit digit of 9
so 2*9*9*5 = leads to unit digit of 0... Yes... Suff..
D
