OG problems

Pls refrain from posting so many questions at a time..

Problem 151

statement 1:

x=3y+2
x/y=(3y+2)/y=3+2/y
It is given that x & y are positive integers therefore x/y>3

Statement 1 is sufficient

statement 2:

2x/3y>2
x/y>6/2
x/y>3

Statement 2 is sufficient

Hence the ans is D

Problem 152

triangle PQR is a right triangle..
Let PQ=x and QR=y
triangle PQR is divide into two triangles PQB & RQB
In triangle PQB
a^2+4=x^2....(1)
In triangle RQB
b^2+4=y^2....(2)
In triangle PQR
(a+b)^2=x^2+y^2..(3)
Applying 1 & 2 in 3 we get
ab=4

statement 1
a=4
4b=4
b=1
PR=a+b=5

statement 2
b=1
a1=4
a=4
PR=a+b=5

Hence the ans is D

Problem 153

statement 1:
k>4!
i.e k>24
if k is a prime no (29,31,37..etc) there aren't any factors between 1 and the prime number..
For example if k=29 there is no factor p such that 1<p<29

So statement 1 is not sufficient

statement 2:
13!+2<=k<=13!+13
lets assume k=13!+5
here 13! represents the product of first 13 numbers which also includes 5...therefore 5 is a factor of 13!+5..
This holds true for any number between 13!+2 and 13!+13

Therefore B is sufficient

Problem 155

statement 1:

It tells us only about the current capacity of water....Using this information maximum capacity cannot be determined

statement 2:

Lets assume that the maximum capacity of the bucket is c litres..

As per the second statement

0.5c+3=c/2+1/3(c/2)
0.5c+3=4c/6
c/6=3
c=18

Hence the maximum capacity of the bucket can be determined...

Ans is B

Q 154:

IMO answer is E..

If you solve both statements taking x = greater than 1, between -1 and 1, less than -1...both stmnts can be explain if x will be +ve or -ve...

what is OA?