@htomar said:N is the sum of the squares of three consecutive odd numbers such that all the digits of N are the same. If N is a four-digit number, then the value of N isA. 3333B. 5555C. 7777D. 9999
41^2+43^2+45^2=5555
@htomar said:N is the sum of the squares of three consecutive odd numbers such that all the digits of N are the same. If N is a four-digit number, then the value of N isA. 3333B. 5555C. 7777D. 9999
5555?
@htomar said:N is the sum of the squares of three consecutive odd numbers such that all the digits of N are the same. If N is a four-digit number, then the value of N isA. 3333B. 5555C. 7777D. 9999
3n^2 + 8 is the no.,nt divisible by 3 --> 2 options ruled out
ans.-8 is divisible by 3 --> 5555
ans.-8 is divisible by 3 --> 5555
Let N = 2^15 * 3^12 . How many factors of N^2 are less than N but do not divide N completely?
A. 387
B. 180
C. 208
D. 310
@htomar said:Let N = 2^15 * 3^12 . How many factors of N^2 are less than N but do not divide N completely?A. 387B. 180C. 208D. 310
c.208 ??
@htomar said:Let N = 2^15 * 3^12 . How many factors of N^2 are less than N but do not divide N completely?A. 387B. 180C. 208D. 310
180 ??
@chillfactor said:
without any diagonal5C3=10
1 upward 2 rightward 1 diagonal
4!/2!=3 ways
1 rightward 2 diagonal
2 ways
Total->15
1 upward 2 rightward 1 diagonal
4!/2!=3 ways
1 rightward 2 diagonal
2 ways
Total->15
@htomar said:Let N = 2^15 * 3^12 . How many factors of N^2 are less than N but do not divide N completely?A. 387B. 180C. 208D. 310
no. of factors for N= 208
no. of factors for N^2= 775
No. of factors of N^2 which are less than or equal to N = 388
less than N but do not divide N completely = 388-208 =180
no. of factors for N^2= 775
No. of factors of N^2 which are less than or equal to N = 388
less than N but do not divide N completely = 388-208 =180
@kingsleyx said:no. of factors for N= 208no. of factors for N^2= 775No. of factors of N^2 which are less than or equal to N = 388less than N but do not divide N completely = 388-208 =180
how did u find
no.of factors of n^2 less than or equal to n ?
no.of factors of n^2 less than or equal to n ?
@kingsleyx said:no. of factors for N= 208no. of factors for N^2= 775No. of factors of N^2 which are less than or equal to N = 388less than N but do not divide N completely = 388-208 =180
388 kaise aaya bhai..plz explain??
@rubikmath said:how did u find no.of factors of n^2 less than or equal to n ?
@mailtoankit said:388 kaise aaya bhai..plz explain??
Half of the factors of N^2 will lie below N and half above N...
Total factors 775 .. No of factors which are less than or equal to N = 774/2 + 1 = 388
@chillfactor said:
I was looking at the answers of other people to the question posted by @chillfactor and I noticed that most people seem to have done it by listing out the paths - my method was quite different.
When I do such problems by listing I usually end up missing out on a few, so for those klutzes like me who can't count :o) I'm attaching the logic I use...it can be very quick and reliable with practice, for most such "paths from X to Y" type of problems.
regards
scrabbler
@scrabbler said:I was looking at the answers of other people to the question posted by @chillfactor and I noticed that most people seem to have done it by listing out the paths - my method was quite different.When I do such problems by listing I usually end up missing out on a few, so for those klutzes like me who can't count ) I'm attaching the logic I use...it can be very quick and reliable with practice, for most such "paths from X to Y" type of problems. regardsscrabbler
ur methods are always different! 
../__\
PS: sorry for spamming
../__\PS: sorry for spamming
2- [ rt(640522209)/rt(3600840049)]? 
0.6663039
0.666029
0.666009
none of the above
@scrabbler ,@rubikmath
@ayushnasa : pencil chor, yeh solve kar :P
0.6663039
0.666029
0.666009
none of the above
@scrabbler ,@rubikmath
@ayushnasa : pencil chor, yeh solve kar :P
@sonamaries7 said:2- [ rt(640522209)/rt(3600840049)]? 0.66630390.6660290.666009none of the above @scrabbler ,@rubikmath@ayushnasa : pencil chor, yeh solve kar
none of the above...abhi time nahi hai...http://www.wolframalpha.com/input/?i=2-+%5B+sqrt%28640522209%29%2Fsqrt%283600840049%29%5D
@sonamaries7 said:2- [ rt(640522209)/rt(3600840049)]? 0.66630390.6660290.666009none of the above @scrabbler ,@rubikmath@ayushnasa : pencil chor, yeh solve kar
none ??
@sonamaries7 said:2- [ rt(640522209)/rt(3600840049)]? 0.66630390.6660290.666009none of the above @scrabbler ,@rubikmath@ayushnasa : pencil chor, yeh solve kar
Waise karna pada to it is approx equal to
2-[rt(64)/rt(360)]
=2-[8/(6*rt(10)]
ie it greater than 1