Number System - Questions & Discussions

Dude, if you want to prove option 'a' as false, it should be 1-1-1-8.
As per you, it satisfies the 1st condition, that is it makes it true.
Still, the answer is c. Just the reasoning for the first option u gave seems incorrect.


bro, it is given ''2 boys receive more than 1 choco''
i am just proving it wrong by allotting only 1 choco( not more than) to 2 boys...and rest to others..

what you are proving wrong is '' only 2 boys receive 1 choco''

hope i am clear :)

one small confusion..
one of boys means we can take more than one boy or exactly one boy??..
thanks for answer


exactly 1 boy.
bro, it is given ''2 boys receive more than 1 choco''
i am just proving it wrong by allotting only 1 choco( not more than) to 2 boys...and rest to others..

what you are proving wrong is '' only 2 boys receive 1 choco''

hope i am clear :)



exactly 1 boy.

So is this case falsify option C?
2243 or 2144 etc..your suggestion will be helpful..thanks..
So is this case falsify option C?
2243 or 2144 etc..your suggestion will be helpful..thanks..

No, in any case C can never be false, you yourself have given two examples in which one of the guy is having less than 3 sweets..

just see 4 guys and 11 sweets..so its mandatory that atleast 1 will get less than 3

ohk ohk got your doubt :)

..now here you have to take atleast 1 guy.

condition would have been false only if the case be 3-3-3-3( or more than 3 sweets to all)...which is not possible.

The total number of integer pairs (x,y) such that eq x+y=xy
a.0
b.1
c.2
d.none

answer is c..i got one pair as 2,2 ..other one??

its already 2 am and i am hoping for fast replay :P..

The total number of integer pairs (x,y) such that eq x+y=xy
a.0
b.1
c.2
d.none

answer is c..i got one pair as 2,2 ..other one??


two pairs of integer solutions exists...
{0,0} and {2,2}

The total number of integer pairs (x,y) such that eq x+y=xy
a.0
b.1
c.2
d.none

answer is c..i got one pair as 2,2 ..other one??


Ans is (c).2 0,0 and 2,2 i think its a previous cat question

a doubt...
the power of 45 that will exactly divide 123!
now i know a procedure to solve this....
45 can be expressed as 3^2*5....
so i checked (123/5)+(123/5^2)...the answer comes out to be 28.....
but the answer given is 31....
please explain...where am i going wrong....


Ans is 28(a) in the new edition the ans is 28

If we consider the given condition then from first three conditions satisfies is 4+3+3+1...only the last option dosnt not satisfy the distribution...so i think its a,b,c...

Pls someone help ...as i m nt sure abt the ans:(

to find the answer,the other method is:
123/5 =24/5=4..so the ans is 28 and not 31..must be a printing mistake..

to find the answer,the other method is:
123/5 =24/5=4..so the ans is 28 and not 31..must be a printing mistake..


No, answer will not be 28.
Here, 45 = 3^2 * 5.
So, 3^2 occurs for less times than 5.
So, here deciding factor will be 3, not 5.
Hence, we need to divide successively by 3.
Hope it helps.
The total number of integer pairs (x,y) such that eq x+y=xy
a.0
b.1
c.2
d.none

answer is c..i got one pair as 2,2 ..other one??


I think next would be (0,0) correct me if wrong

Originally Posted by meba View Post
to find the answer,the other method is:
123/5 =24/5=4..so the ans is 28 and not 31..must be a printing mistake..

No, answer will not be 28.
Here, 45 = 3^2 * 5.
So, 3^2 occurs for less times than 5.
So, here deciding factor will be 3, not 5.
Hence, we need to divide successively by 3.
Hope it helps.




the power of 3 in 123! is 59 so it will be decided by power of 5

a doubt...
the power of 45 that will exactly divide 123!
now i know a procedure to solve this....
45 can be expressed as 3^2*5....
so i checked (123/5)+(123/5^2)...the answer comes out to be 28.....
but the answer given is 31....
please explain...where am i going wrong....


Ans is 28(a) in the new edition the ans is 28


ans is 28 only
5 occurs 28 times , 3 occurs 59 times so 3^2 occurs 29 times, so 5 will come less number of times . therefore , ans is 28 only

pugs who r saying 9 will come less number of times are incorrect coz the rule 123/3+123/(3^2)+...is valid only when denominator is a prime number so we cannot calculate is dividing by 9 and then 9^2

plz provide me the solution of the following question:-
If p=1! + 2x2! + 3x3! + ......+ 10x10! , Then what is the REMAINDER when (p+2) is divided by 11 ?

options:
a.1
b.2
c.3
d.4

plz provide me the solution of the following question:-
If p=1! + 2x2! + 3x3! + ......+ 10x10! , Then what is the REMAINDER when (p+2) is divided by 11 ?

options:
a.1
b.2
c.3
d.4

is the ans a . 1

plz provide me the solution of the following question:-
If p=1! + 2x2! + 3x3! + ......+ 10x10! , Then what is the REMAINDER when (p+2) is divided by 11 ?

options:
a.1
b.2
c.3
d.4

My take is a.1
plz provide me the solution of the following question:-
If p=1! + 2x2! + 3x3! + ......+ 10x10! , Then what is the REMAINDER when (p+2) is divided by 11 ?
options:
a.1
b.2
c.3
d.4


p= 1! + 2x2! + 3x3! + ......+ 10x10!= 11! - 1

so, (p+2) = 11! + 1
therefore remainder when (p+2) is divided by 11 will be 1
p= 1! + 2x2! + 3x3! + ......+ 10x10!= 11! - 1

so, (p+2) = 11! + 1
therefore remainder when (p+2) is divided by 11 will be 1

got it...thnx...a lot...I havnt noticed dt thing

The Question is:-
What is the Remainder when ^13333 is divided by 13?