By the way, thanks for the prompt reply, deepakraam !! Hope to hear from you soon on how to solve this problem for "Statement 1 alone is sufficient".
Hello everyone,
How's it going? I am new to pagalguy.com and was wondering if you could help me out a little. I have attached a file (sorry for the inconvenience, but I needed the triangle from the question), whose solution I am unable to understand.
Can anyone help me out here??
the answer must be eqn 1 alone..i.e. option A
BCD and ADB be 2 diff triangles..
in triangle BCD
angBDC = angBCD = 2x
thus, angDBC = (180 - 2x) >> eqn(1)
in triangle ADB
angDAB = x
and owing to eqn eqn(1) above, andBDA = 180 - 2x
thus angABD = x
thus side AD = BD >> eqn(2)
per question, side DB = DC
thus we have AD = DB = BC = 6
hence answer is option A
hope that helps π
Hello everyone,
How's it going? I am new to pagalguy.com and was wondering if you could help me out a little. I have attached a file (sorry for the inconvenience, but I needed the triangle from the question), whose solution I am unable to understand.
Can anyone help me out here??
IMO A. here my explanation
In the figure AD=BD since Angle A and Angle B are equal and BD=BC since angle D is equal to angle C.
Consider 1) AD=6 from this we get BC =6 hence suff.
Consider 2) this does not talk abt length and talks abt angles.So insuff.
Hence A



Whats the OA?
How many integers n are there such that
r ?
(1) s r = 5
(2) r and s are not integers.
r ?
(1) s r = 5
(2) r and s are not integers.
If P,Q,R,S are positive inters , and P/Q=R/S , Is R is divisible by 5?
i.p is divisible by 140
ii.Q= 7^x , where x is positive integer
i.p is divisible by 140
ii.Q= 7^x , where x is positive integer
In the xy plane, at what two points does the graph of y= (x+a)(x+b) intersect the x axis?
(1) a+b=-1
(2) the graph intersects the x=axis at at (0,6)
(1) a+b=-1
(2) the graph intersects the x=axis at at (0,6)
Is 1/r>1?
(1) pqr>1
(2) pqr^2>1
(1) pqr>1
(2) pqr^2>1
In the rectangular coordinate system, are the points (a, b) and (c, d) equidistant from the origin?
(1) a/b = c/d
(2) Square root of (a^2) + Square root of (b^2) = Square root of (c^2) + square root of (d^2).
(1) a/b = c/d
(2) Square root of (a^2) + Square root of (b^2) = Square root of (c^2) + square root of (d^2).
@siddharthaduggirala
seems someone opened the DS book after a very looooooooooooooong time

How many integers n are there such that
r ?
(1) s r = 5
(2) r and s are not integers.
I would have marked it as option C
(1) s r = 5
number types for s & r are not defined..
(2) r and s are not integers.
doesnt help at all
taking both together.. the problem gets resolved
take examples like below;
8.1 - 3.1 = 5.0
intergers in between are: 8,7,6,5,4 & 3 = count = 6
99.9 - 94.9 = 5
intergers in between are: 99,98,97,96,95 & 94 = count = 6
take fraction;
20/3 - 5/3 = 15/3 = 5
20/3 = 6.67
5/3 = 1.67
interger in between are: 6,5,4,3,2 & 1 = count = 6
so option C.. wat is the OA??
In the xy plane, at what two points does the graph of y= (x+a)(x+b) intersect the x axis?
(1) a+b=-1
(2) the graph intersects the x=axis at at (0,6)
y= (x+a)(x+b)
y = x^2 + (a+b)x + ab
Eqn1:
a+b = -1 = slope of the line
line be; y = mx + C
m = -1
y = -x + C
Eqn2:
y intercept is @ 6
wat next.. I dunno.. wait for some guru..
I would have marked option E..not sure why or why not
I would have marked it as option C
(1) s r = 5
number types for s & r are not defined..
(2) r and s are not integers.
doesnt help at all
taking both together.. the problem gets resolved
take examples like below;
8.1 - 3.1 = 5.0
intergers in between are: 8,7,6,5,4 & 3 = count = 6
99.9 - 94.9 = 5
intergers in between are: 99,98,97,96,95 & 94 = count = 6
take fraction;
20/3 - 5/3 = 15/3 = 5
20/3 = 6.67
5/3 = 1.67
interger in between are: 6,5,4,3,2 & 1 = count = 6
so option C.. wat is the OA??
The OA is C
In the rectangular coordinate system, are the points (a, b) and (c, d) equidistant from the origin?
(1) a/b = c/d
(2) Square root of (a^2) + Square root of (b^2) = Square root of (c^2) + square root of (d^2).
I guess option B..!!..
y= (x+a)(x+b)
y = x^2 + (a+b)x + ab
Eqn1:
a+b = -1 = slope of the line
line be; y = mx + C
m = -1
y = -x + C
Eqn2:
y intercept is @ 6
wat next.. I dunno.. wait for some guru..
I would have marked option E..not sure why or why not
The OA is C.
Here is the expl:
y=x^2+(a+b)x+ab.
from 1 we know x^2-x+ab. so 1) alone is insuff.
take 2) the graph intersects the x=axis at at (0,6)
so 6=ab so this alone is insuff.
now combining both we have
x^2-x+6=0 so from here we get our two points.
So C.

the answer must be eqn 1 alone..i.e. option A
BCD and ADB be 2 diff triangles..
in triangle BCD
angBDC = angBCD = 2x
thus, angDBC = (180 - 2x) >> eqn(1)
in triangle ADB
angDAB = x
and owing to eqn eqn(1) above, andBDA = 180 - 2x
thus angABD = x
thus side AD = BD >> eqn(2)
per question, side DB = DC
thus we have AD = DB = BC = 6
hence answer is option A
hope that helps ;)
Hey guys,
Thanks so much for your help. I had worked out DA=DB, but I don't know how I missed the last point where if DA=DB and BD=BC, then AD=BC. I feel like an idiot now that I have seen the solution. But thank you all so much for your help.
nuttyvarun SaysI guess option B..!!..
If option b is square root of (a^2 + b^2) = square root of (c^2 + d^2), then option b by itself is sufficient. But if the choice is given as in your post, then I think it should be option e.
Is ans for the below DS q -both statements togther are nt suff?
If P,Q,R,S are positive inters , and P/Q=R/S , Is R is divisible by 5?
i.p is divisible by 140
ii.Q= 7^x , where x is positive integer
Is ans the for the below DS - both statements are suff to ans the q
Is 1/r>1?
(1) pqr>1
(2) pqr^2>1
Is ans for below DS- Statement 2 alone is suff and nt statemen 1?
In the rectangular coordinate system, are the points (a, b) and (c, d) equidistant from the origin?
(1) a/b = c/d
(2) Square root of (a^2) + Square root of (b^2) = Square root of (c^2) + square root of (d^2).
Is 1/r>1?
(1) pqr>1
(2) pqr^2>1
stmt 1:
2*(3/2)* (4/3) >1
r=4/3 => 1/r
(9)*(4/3)*(1/4) >1
r = 1/4 => 1/r >1
not suff to ans.
stmt 2
(pqr)^2 >1
=> pqr >1
this again is stmt 1
so no suff.
ans .. E