How many divisors of 21600 are perfect squares?
Somehow I am getting answer as 15. Should it be 12? Can someone explain how?
21600=2^5*3^3*5^2
as we need to find perfect squares
so (1+2^2+2^4)*(1+3^2)*(1+5^2)
3*2*2 =12
21600=2^5*3^3*5^2
as we need to find perfect squares
so (1+2^2+2^4)*(1+3^2)*(1+5^2)
3*2*2 =12
answer to Remainder when 32^32^33 is divided by 7......
is 1
32 =4(mod 7) so given expression reduces to 4^32^33/7
that means 4^32......33 times /7
now according to euler theorem 4^6 =1(mod 7) it reduces to
4^2...33 times /7 ---> (2^4) ...33 times /7
2....33 times /7
2^33/7 =1 reminder
sachy24 Saysthe ans is one
wat is this mod ?
NiharikaAnand Sayswat is this mod ?
it is euler theorem ....
NiharikaAnand Sayswat is this mod ?
mod is operator for remainder
see this :Modular arithmetic - Wikipedia, the free encyclopedia
how many zeroes will be there at the end of 36!^36!
option 7*6!,8*6!,7*36!,8*36!
8^36??
becoz power of 5 in 36! = 8
How many divisors of 21600 are perfect squares?
Somehow I am getting answer as 15. Should it be 12? Can someone explain how?
21600=2^5*3^3*5^2
so for squares we can take
2^2,3^2,5^2,2^4,2^2*3^2,2^4*3^2
similarly if we take all the possiblities..
12 aa raha hai...!
21600 = 2^5 * 3^3 * 5^2
so we can take 2^0, 2^2 nd 2^4 - 3 times, similarly for
3 its - 2 times
5 also 2 times
so total - 3*2*2 = 12
21600=2^5*3^3*5^2
as we need to find perfect squares
so (1+2^2+2^4)*(1+3^2)*(1+5^2)
3*2*2 =12
Thanks guys....I got where I was going wrong.
'Privileged Number' is a natural number which has two prime numbers as its neighbors on the number
line. For example, 4 and 12 are privileged numbers. What is the mean of all privileged numbers less
than 100?
A.30.5
B.34
C.28.5
D.26
line. For example, 4 and 12 are privileged numbers. What is the mean of all privileged numbers less
than 100?
A.30.5
B.34
C.28.5
D.26
Privileged Number is a natural number which has two prime numbers as its neighbors on the number
line. For example, 4 and 12 are privileged numbers. What is the mean of all privileged numbers less
than 100?
A.
30.5
B.34
C.28.5
D.26
am getting 30.5
8 Privileged Numbers & their sum is 244
what is OA?
answer for question 7,
7)4-1=3,9-4=5,16-9=7,25-16=9,..,,
here,
1. all the odd numbers 2. all the multiples of 4 so ans is 750..
tell me if u need anything more..
here,
1. all the odd numbers 2. all the multiples of 4 so ans is 750..
can you please share with us the theory behind it?
how many zeroes will be there at the end of 36!^36!
option 7*6!,8*6!,7*36!,8*36!
i think answer should be 8*36!.
36! contains 8 10's
so 10^8.........36! times makes no of zeroes 8*36!
am getting 30.5
8 Privileged Numbers & their sum is 244
what is OA?
Even I am getting 30.5. However the answer given is 34(B). I blv that should be a typo....
Which one of the following numbers is a perfect square?
A.35! 36!
B.37! 38!
C.34! 37!
D.36! 37!
Which one of the following numbers is a perfect square?
A.35! 36!
B.37! 38!
C.34! 37!
D.36! 37!
Option A
how did you get the answer as A??? pls explain 
which one of the following numbers is a perfect square?
A.35! 36!
B.37! 38!
C.34! 37!
D.36! 37!
girish142 Sayshow did you get the answer as a??? Pls explain
(35)! * (36)!
= (35)! * (35)! * 36
= (35)! * (35)! * 6^2
=^2
girish142 Sayshow did you get the answer as A??? pls explain
oh...ya... i got it...
36! will have all the terms from 35! onwards...so 35! terms are repeated twice...so they form a perfect square and 36 which remains in 36! is a perfect square itself....hence the answer A.... right????
N = 77777777, where the digit 7 repeats itself 429 times. What is the remainder left when N is divided by 1144?
pls provide detailed solution
1. The single digits a and b are neither both nine nor both zero. The repeating decimal 0.abababab... is expressed as a fraction in lowest terms. How many different denominators are possible?
A.4
B.6
C.5
D.3
2. What is the value of n such that n! = 3! 5! 7!
A.10
B.11
C.8
D.9