If K is a positive integer less than 10 and N = 4,321 + K, what is the value of K?
(1) N is divisible by 3.
(2) N is divisible by 7.
THANKS!
(1) N is divisible by 3.
(2) N is divisible by 7.
THANKS!
Answer is B
I am not sure of a faster method 2 do this. But jus think like this.
Given statement: N = 4,321 + K
Clue : K is a positive integer less than 10.
when K is a +ve no less than 10 (given)
N can be one of these possible vales {4322 or 4323 or 4324 or 4325 or 4326 or 4327 or 4328 or 4329 or 4330}.
From option A
Surely u cannot determine the unique value of K because, as u see above N is set of 9 nos and the vale of K can vary(simple reason between 9 consective nos, at the max 3 nos wil be a multiple of 3 and min of 2 no will be mltiples of 3).
From option B
We can uniquely determine the value of K because in a set of 9 consecutive nos,the multiple of 7 can occur at the max 2 times. But since in the set N 4326 is perfectly divisible by 7 so it means the next no divisible by 7 wil be
4333. however since 4333 is outside set N, value of K can be determined uniqely
Believe me .. dosent take more than 1 min to do this problem using this method.
I dont know of a qicker method .. If anybody can think of another way pls let us know.
Regards.
Vignesh
