Doubts on PS and DS

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Doubts on Problem Solving and DataSufficiency.

by sidd_k » Mon May 07, 2007 12:47 am
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.
How to solve the above problem?Problems like these become a nuisance to me as we have many number of values of K and to find the same withing one shot becomes difficult.Please tell me a shorcut method or if anyone has concepts confined to similar problem, I would be grateful.

A ScrewDriver and hammer curently have the same price.If the price of the screwdriver rised by 5% and the hammer rises by 3% how much more willit cost to buy 3 screwdrivers and 3 hammers.
Answer is 4%
How this problem can be solved?

Is the Integer K an odd integer
K=3M where M is an integer
K=6J where J is an integer
How to solve the above problem?
As M can have any number of values and also J , how to calculate throught to come to conclusion.Any concepts for similar kind of problems.

If x is a two digit number( so x= ba with b and a digits) what is the last digit a of x
(1)The number 3x is a three digit number whose last digit is a.
(2)The digit a is less than 7
Answer is both are insufficient.How?

If m is an integer, is m odd
(1) m/2 is not an even integer
(2)m-3 s an even integer
How to judge for above problem

is |x| = y-z
(1) x+y = z
(2) x<0

what will be the answer

If x<0, is y>0
(1) x/y < 0
(2) y-x>0

What is the tens digt of positive integer x
(1) x divided by 100 has a remainder of 30
(2) x divided by 110 has a remander of 30

If n is a positive integer,is the value of b-a at least twice the value of 3^n - 2^n
(1) a = 2^n+1 and b=3^n+1
(2) n =3

Guys I am facing a problem in DS for the problems with unknown terms.If anyone has a a book explaining concept on the same please forward it.
Thanks
Siddharth Kulkarni.