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mysterymanrog
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Practice Questions Chat 11 Dec 2022, 03:03
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gmatophobia
PS Question 1 - Dec 11

a, b and c are three interior angles of a triangle ABC. If a, b and c are three integers, then what is the number of possible values of a – b + c, which are less than zero ?

A.88
B.90
C.178
D.179
E.180

Source: e-GMAT | Difficulty: Hard
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Not sure if I did this correctly.
a-b+c=0 when b=90, a and c are 45.
That means for all b higher than 90, the equation is less than 0.
because we have 2 more integer angles, the max value b can take is 178 (a and c are 1 respectively).
therefore, 91<=b<=178
total values of b= 178-91+1=88
A.
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Practice Questions Chat 11 Dec 2022, 04:21
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gmatophobia
PS Question 1 - Dec 11

a, b and c are three interior angles of a triangle ABC. If a, b and c are three integers, then what is the number of possible values of a – b + c, which are less than zero ?

A.88
B.90
C.178
D.179
E.180

Source: e-GMAT | Difficulty: Hard
Show more
a?
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gmatophobia
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Practice Questions Chat 11 Dec 2022, 07:40
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LIVE NOW !

Precents & Interest Rates Problems on the GMAT

https://www.youtube.com/watch?v=MVVBSQRdYiQ
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gmatophobia
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gmatophobia
DS Question 1 - Dec 11

If wxyz does not equal 0, is w/x > y/z?

(1) wz > xy

(2) xz > 0

Source: Kaplan | Difficulty: Hard
Is this really a hard Q? I solved in 45 seconds
Given: wxyz are nonzero
1)wz>xy
We have two cases here:
if z and y share the same sign, then we have
w/x>y/z
If z and x are opposite signs, then we have the flipped inequality. INS.
2) This tells us that xz share the same sign, but we know nothing about wy. INS.

3) we know from 1) that if they share the same sign, the condition is satisfied. 2) tells us they share teh same sign.
C.
Show more
Statistics on this question -

The question is marked 75% hard and has an accuracy of 48% over 230 test takers

Is this really a hard Q? :dontknow:
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mysterymanrog
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Practice Questions Chat 11 Dec 2022, 10:39
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mysterymanrog
gmatophobia
DS Question 1 - Dec 11

If wxyz does not equal 0, is w/x > y/z?

(1) wz > xy

(2) xz > 0

Source: Kaplan | Difficulty: Hard
Is this really a hard Q? I solved in 45 seconds
Given: wxyz are nonzero
1)wz>xy
We have two cases here:
if z and y share the same sign, then we have
w/x>y/z
If z and x are opposite signs, then we have the flipped inequality. INS.
2) This tells us that xz share the same sign, but we know nothing about wy. INS.

3) we know from 1) that if they share the same sign, the condition is satisfied. 2) tells us they share teh same sign.
C.
Statistics on this question -

The question is marked 75% hard and has an accuracy of 48% over 230 test takers

Is this really a hard Q? :dontknow:
Show more
Interesting! Maybe many people fall into the trap of dividing variables w/o knowing signs
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Practice Questions Chat Updated on: 12 Dec 2022, 02:59
Originally posted by gmatophobia on 12 Dec 2022, 02:58.
Last edited by gmatophobia on 12 Dec 2022, 02:59, edited 1 time in total.
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gmatophobia
DS Question 1 - Dec 11

If wxyz does not equal 0, is w/x > y/z?

(1) wz > xy

(2) xz > 0

Source: Kaplan | Difficulty: Hard
Show more
Show SpoilerOA
C

gmatophobia
PS Question 1 - Dec 11

a, b and c are three interior angles of a triangle ABC. If a, b and c are three integers, then what is the number of possible values of a – b + c, which are less than zero ?

A.88
B.90
C.178
D.179
E.180

Source: e-GMAT | Difficulty: Hard
Show more
Show SpoilerOA
A

DS Question 1 - Nov 12

If x and y are positive integers, is xy even?

(1) x^2 + y^2 − 1 is divisible by 4.
(2) x + y is odd.

Source: Official Guide | Difficulty: Medium
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mysterymanrog
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Practice Questions Chat Updated on: 12 Dec 2022, 03:32
Originally posted by mysterymanrog on 12 Dec 2022, 03:30.
Last edited by mysterymanrog on 12 Dec 2022, 03:32, edited 1 time in total.
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gmatophobia
DS Question 1 - Nov 12

If x and y are positive integers, is xy even?

(1) x^2 + y^2 − 1 is divisible by 4.
(2) x + y is odd.

Source: Official Guide | Difficulty: Medium
Show more
1)
x^2+y^2=4k+1
odd sum, so x and y must be odd and even. xy is always even
2) same logic as 1.
suff
D.

Can also be solved using smart numbers, but the algebra approach is
much quicker.
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Practice Questions Chat 12 Dec 2022, 04:11
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DS Question 2 - Dec 12

If vertices of a triangle are A (5, 0), B (x, y) and C (25, 0), what is the area of the triangle?

(1) |x|=y=10

(2) x=|y|=10

Source: GMAT Club Tests | Difficulty: Medium
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gmatophobia
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Practice Questions Chat 12 Dec 2022, 04:23
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I guess you’re missing something :|
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gmatophobia
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Practice Questions Chat 12 Dec 2022, 04:45
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PS Question 1 - Dec 12

Three circles with radii of 2 cm, 3 cm and 5 cm, respectively are on the same plane. If the centers of the three circles are all on the same line and each circle is tangent to at least one of the other two circles, then what is the shortest possible distance, in cm, between the center of the largest circle and the center of the smallest circle?

A) 0
B) 1
C) 3
D) 7
E) 13

Source: EMPOWERgmat | Difficulty: Medium
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mysterymanrog
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Practice Questions Chat 12 Dec 2022, 04:59
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gmatophobia
DS Question 2 - Dec 12

If vertices of a triangle are A (5, 0), B (x, y) and C (25, 0), what is the area of the triangle?

(1) |x|=y=10

(2) x=|y|=10

Source: GMAT Club Tests | Difficulty: Medium
Show more
If I am not mistaken, it is E because you can have any of the following for (x,y)
(-10,-10)
(10,10)
(-10,10)
(-10,10)
All of which produce a different area (no caclualtions was done, just a sketch)
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gmatophobia
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Practice Questions Chat 12 Dec 2022, 05:00
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mysterymanrog
gmatophobia
DS Question 2 - Dec 12

If vertices of a triangle are A (5, 0), B (x, y) and C (25, 0), what is the area of the triangle?

(1) |x|=y=10

(2) x=|y|=10

Source: GMAT Club Tests | Difficulty: Medium
If I am not mistaken, it is E because you can have any of the following for (x,y)
(-10,-10)
(10,10)
(-10,10)
(-10,10)
All of which produce a different area (no caclualtions was done, just a sketch)
Show more
Area of the triangle is 1/2 * base * height. In all the cases the height is 10.
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mysterymanrog
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Practice Questions Chat 12 Dec 2022, 05:00
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gmatophobia
mysterymanrog
gmatophobia
DS Question 2 - Dec 12

If vertices of a triangle are A (5, 0), B (x, y) and C (25, 0), what is the area of the triangle?

(1) |x|=y=10

(2) x=|y|=10

Source: GMAT Club Tests | Difficulty: Medium
If I am not mistaken, it is E because you can have any of the following for (x,y)
(-10,-10)
(10,10)
(-10,10)
(-10,10)
All of which produce a different area (no caclualtions was done, just a sketch)
Area of the triangle is 1/2 * base * height. In all the cases the height is 10.
Show more
My sketch must have been terrible then
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Practice Questions Chat 12 Dec 2022, 05:01
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mysterymanrog
gmatophobia
DS Question 2 - Dec 12

If vertices of a triangle are A (5, 0), B (x, y) and C (25, 0), what is the area of the triangle?

(1) |x|=y=10

(2) x=|y|=10

Source: GMAT Club Tests | Difficulty: Medium
If I am not mistaken, it is E because you can have any of the following for (x,y)
(-10,-10)
(10,10)
(-10,10)
(-10,10)
All of which produce a different area (no caclualtions was done, just a sketch)
Show more
U can’t have -10, 10

*-10, -10
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gmatophobia
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Practice Questions Chat 12 Dec 2022, 05:03
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mysterymanrog

My sketch must have been terrible then
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mysterymanrog
AC is the base as the points are collinear. The y coordinate of point B represents the height. :)
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Practice Questions Chat 12 Dec 2022, 05:41
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PS Question 2 - Dec 12

x and y are positive integers. If the greatest common divisor of x and 3y is 9, and the least common multiple of 3x and 9y is 81, then what is the value of 81xy?

A) 3^5
B) 3^6
C) 3^7
D) 3^8
E) 3^9

Source: GMATPrepNow | Difficulty: Hard
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Practice Questions Chat Updated on: 12 Dec 2022, 07:55
Originally posted by AbhinavKumar on 12 Dec 2022, 07:48.
Last edited by AbhinavKumar on 12 Dec 2022, 07:55, edited 1 time in total.
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gmatophobia
PS Question 1 - Dec 12

Three circles with radii of 2 cm, 3 cm and 5 cm, respectively are on the same plane. If the centers of the three circles are all on the same line and each circle is tangent to at least one of the other two circles, then what is the shortest possible distance, in cm, between the center of the largest circle and the center of the smallest circle?

A) 0
B) 1
C) 3
D) 7
E) 13

Source: EMPOWERgmat | Difficulty: Medium
Show more
nice! I was stuck with the answer as 3cm but there is a fishy thing happening with how
you "touch" these circles with each other...
I used some MS paint skills to draw two diagrams "A" and "B". to help me visualize how tangents can be drawn out to give the Minimum distance between the largest and smallest circles. It turns out 1cm is the shortest distance between them if circles are drawn like in figure "A"

gmatophobia
PS Question 2 - Dec 12

x and y are positive integers. If the greatest common divisor of x and 3y is 9, and the least common multiple of 3x and 9y is 81, then what is the value of 81xy?

A) 3^5
B) 3^6
C) 3^7
D) 3^8
E) 3^9

Source: GMATPrepNow | Difficulty: Hard
Show more
gcd(a,b) * lcm(a,b) = a*b

using this we get 3^8 as the answer
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Practice Questions Chat 12 Dec 2022, 07:57
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gmatophobia
PS Question 1 - Dec 12

Three circles with radii of 2 cm, 3 cm and 5 cm, respectively are on the same plane. If the centers of the three circles are all on the same line and each circle is tangent to at least one of the other two circles, then what is the shortest possible distance, in cm, between the center of the largest circle and the center of the smallest circle?

A) 0
B) 1
C) 3
D) 7
E) 13

Source: EMPOWERgmat | Difficulty: Medium
nice! I was stuck with the answer as 3cm but there is a fishy thing happening with how
you "touch" these circles with each other...
I used some MS paint skills to draw two diagrams "A" and "B". to help me visualize how tangents can be drawn out to give the Minimum distance between the largest and smallest circles. It turns out 1cm is the shortest distance between them if circles are drawn like in figure "A"
Show more
Some impressive analysis :thumbsup: :thumbsup:
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gmatophobia
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Practice Questions Chat 12 Dec 2022, 08:27
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DS Question 3 - Nov 12

Of the numbers q, r, s, and t, which is greatest?

(1) The average (arithmetic mean) of q and r is s.
(2) The sum of q and r is t.

Source: GMAT Paper Tests | Difficulty : Medium
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mysterymanrog
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Practice Questions Chat 12 Dec 2022, 09:05
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gmatophobia
PS Question 2 - Dec 12

x and y are positive integers. If the greatest common divisor of x and 3y is 9, and the least common multiple of 3x and 9y is 81, then what is the value of 81xy?

A) 3^5
B) 3^6
C) 3^7
D) 3^8
E) 3^9

Source: GMATPrepNow | Difficulty: Hard
Show more
neat Q.
GCD(x,3y)=3^2
LCM(3x,9y)=3^4
with these two we can conclude that
x is=3^2, and y=3^2.
therefore
3^(2+2+4)=3^8
D.
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