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
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OG problems
Source: Beat The GMAT — Data Sufficiency |
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
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
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
raju232007 wrote: 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
How you can assume triangle pqr is a right triangle?
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
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?
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?
