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Q If xyz 0, is x (y + z) 0?
(1) y + z = |y| + |z
(2) x + y| = |x| + y
I need scoretop PS and DS. Would be more than happy if someone can e-mail me @ [email protected]
Ans is C. Am i correct?
From (1) we can infer y and z have same sign. Similarly from (2) x and y have same signs. So combining both x, y, z have same sign. So x(y+z) is greater than 0.
inanc SaysI need scoretop PS and DS. Would be more than happy if someone can e-mail me @ [email protected]
Y+Z = |y| + |z
this can only be true, if both have the same sign, it means:
either y & Z are both negative or positive
Moreover XYZ 0 menas neither of the X,Y or Z could be 0.
Now in order to test, whether X(Y+Z) >= 0.
now with 2 information above, we can't conclude if the sum is positive...A) not sufficient
X+Z| = |X| + Z
implies the same thing...
Either X or Z both positive or negative....
But the sign of X and Z will be same means Sign of X and Y will be same...
SO equation will alwyas be positive, if the signs are same...(X, Y & Z) ...
Still...it can never be = 0.
henece all in all X(Y+Z) >= 0. can't be ascertained with the available information, answer is E...OA Please
If ab = 1, what is the value of (axb)(ayb)?
(1) ax = by = 2
(2) 2xy = 4
D
Consider 1 : the expression can be written as (ax)(by)(ab). We have all three values. this alone is enough.
Consider 2: we have xy and ab values so this alone is enough.
this is easy.. ;)
If positive integer x is a multiple of 6 and positive integer y is a multiple of 14, is xy a multiple of 105?
(1) x is a multiple of 9.
(2) y is a multiple of 25.
B
consider 1) 9*6*14/105 not sufficient.
Consider 2) 6*14*25/ 105 sufficient..
D
Consider 1 : the expression can be written as (ax)(by)(ab). We have all three values. this alone is enough.
Consider 2: we have xy and ab values so this alone is enough.
goin by the highlighted statement above, the answer should be option A
B
consider 1) 9*6*14/105 not sufficient.
Consider 2) 6*14*25/ 105 sufficient..
Correct answer 😉
nuttyvarun Saysgoin by the highlighted statement above, the answer should be option A
Please explain
siddharthaduggirala SaysPlease explain
Simple Explanation: I am out of my mind..
nuttyvarun SaysSimple Explanation: I am out of my mind..:drinking:
... Good One
Is
xy > (x^2)(y^2)?
(1) 14(x^2) = 3
(2) (y^2) = 1
The OA got be confused!! Please share your thoughts!!
xy > (x^2)(y^2)?
(1) 14(x^2) = 3
(2) (y^2) = 1
The OA got be confused!! Please share your thoughts!!
Coordinate geometry sux man...
In the xy-plane, the line with equation ax + by + c = 0, where abc is not equal to 0, has slope 2/3. What is the value of b?
(1) a = 4
(2) c = 6
Is
xy > x2y2?
(1) 14
x2 = 3
(2) y2 = 1
The OA got be confused!! Please share your thoughts!!
I got answer as option E, but OA is option C..
!!Coordinate geometry sux man...
In the
xy-plane, the line with equation ax + by + c = 0, where abc is not equal to 0, has slope 2/3. What is the value of b?
(1)
a = 4
(2) c = 6
i guess the ans is A ..
y = (-a/b)x - c/b , hence slope = -a/b = 2/3, intercept is -c/b
St 1 : we have value of a, hence can find b .
St 2 ; we do not the intercept, hence not suff
Is
xy > x2y2?
(1) 14
x2 = 3
(2) y2 = 1
The OA got be confused!! Please share your thoughts!!
Yes, even i feel Ans is E, since we know nothing about x or y, hence nothing about LHS xy ...maybe the question is incomplete ...
Is
xy > x2y2?
(1) 14x2 = 3
(2) y2 = 1
Hey Puys...
Please post your explanation with answers... That would help everyone..
xy > x^2*y^2
divide both the sides by xy I get,
1>xy
1) 14*x^2 = 3
x^2 = 3/14
x = +/- sqrt(3/14)
Option 1 insufficient
2) y^2 = 1
y = +/- 1
Option 2 insufficient
If i combine 1 and 2 then also i can have four combination. Out of which two positive and two negative. So we cannot really say whether 1> xy.
Option has to be cannot be answered using both the statements.
Let me know if i am going wrong...
In the
xy-plane, the line with equation ax + by + c = 0, where abc is not equal to 0, has slope 2/3. What is the value of b?
(1) a = 4
(2) c = 6
My take:
ax+by+c = 0
by = - ax - c
y = -(a/b)x - (c/b) ---------- (1)
Equation with slope = 2/3 would be:
y1 = (2/3) x1 + C1 ---------- (2)
Comparing (1) and (2)
2/3 = - (a/b)
C1 = - (c/b)
If we know the value of a we can find the value of b. Value of c wont help because we do not know the value of C1..
So the answer is option 1 is sufficient.
Comments? Anyone?
Hey Puys...
Please post your explanation with answers... That would help everyone..
xy > x^2*y^2
divide both the sides by xy I get,
1>xy
1) 14*x^2 = 3
x^2 = 3/14
x = +/- sqrt(3/14)
Option 1 insufficient
2) y^2 = 1
y = +/- 1
Option 2 insufficient
If i combine 1 and 2 then also i can have four combination. Out of which two positive and two negative. So we cannot really say whether 1> xy.
Option has to be cannot be answered using both the statements.
Let me know if i am going wrong...
hey buddy, if i have understood the question correctly,
it asks whether xy is greater than X2y2 and not x^2*y^2..
And even if it had been x^2*y^2, statement in bold is incorrect coz u r indirectly assuming xy to be positive, which may not necessarily be true ..
If xy is negative ,sign of inequality changes ...
though i concur with u that ans is E irrespective of whether it is x^2*y^2 or X2y2
it asks whether xy is greater than X2y2 and not x^2*y^2..
nd even if it had been x^2*y^2, statement in bold is incorrect coz u r indirectly assuming xy to be positive, which may not necessarily be true ..
If xy is negative ,sign of inequality changes ...
Thanks for pointing out my mistake... yes i cannot divide it by xy...
But are you suggesting that x2 and y2 are different variables? If yes then the question does not make sense at all...
@nuttyvaru: Can you throw some light on this?