[nuttyvarun]

Originally Posted by siddharthaduggirala

Whats the OA? Post the OA any way so that we know.

OA is/was option C

[siddharthaduggirala]

Originally Posted by nuttyvarun

OA is/was option C

Hey, this ans must be incorrect. Whats the source?

[pj02]

Originally Posted by @nee!

Is the measure of one of the interior angles of quadrilateral ABCD equal to 60 degrees?

(1) Two of the interior angles of ABCD are right angles.

(2) The degree measure of angle ABC is twice the degree measure of angle BCD.

Ans: Edited

Answer should be C. Both together are sufficient.

Approach:

1. Two interier angles at right angle. -- not sufficient

2.The degree measure of angle ABC is twice the degree measure of angle BCD-- not sufficient.


No together:
A + B+C+D=360
90+x+2x+90=360
x=60 and 2x=120.

This proves !!!

[pj02]

Originally Posted by Vikram2010

Varun - As usual, a fantastic question.

IMO: Option E Both 1 and 2 are not Suff

1. 2 interior angles at 90, so sum of the other two is 180 as A+B+C+D = 360.
Sum being 180, one possibility is to have one of the angles at 60, but there are other options. So NOT SUFF

2. Angle B = 2* Angle C so, A+2C+C+D = 360. By itself this takes us no where. So, NOT SUFF

1 & 2 Together: If A and D (lets say) are the angles = 90, then we can have 3C = 180, so C=60.
But this is only one scenario.
We can also have 90,90,45,135. That suffices both the conditions of 1 and 2. two interior angles at 90 each, and one angle is twice the other (B=2C).

So Together, NOT SUFF.
Answer is E.

Vikram....
How can we have 45 and 135 as two angles? 135= 3 * 45

One angle should be double of the other and not Triple.

[guy with guts]

Originally Posted by pj02

Answer should be C. Both together are sufficient.

Approach:

1. Two interier angles at right angle. -- not sufficient

2.The degree measure of angle ABC is twice the degree measure of angle BCD-- not sufficient.


No together:
A + B+C+D=360
90+x+2x+90=360
x=60 and 2x=120.

This proves !!!

can you tell me if two interior angles are 90 degrees y the other two will not be 90?as per me all are 90 so suffecient.
from second we cant say anythng unless regular can be used

[guy with guts]

Originally Posted by nuttyvarun

@guy with guts
I like your conviction, "So Answer has to be A".. but unfortunately.. thats the wrong answer..

infact if you would notice option 2 closely (Train Q averaged a speed of 55 miles per hour for the entire trip) you would see that the speed of train Q remains constant througout the trip.. so you know the distance covered by Q each hour..

so in 2 hours Q would cover 55x2 = 110
in 2 hours Q meets P, so P has covered 250-110=140

so u know clearly that P is closer to its final destination..
option 2 is suff

coming back to option 1, "At the time when the two trains passed, train P had averaged a speed of 70 miles per hour." This means that train P has covered 70x2=140 at th etime it met train Q

thus Q must have travelled 250-140=110

so again u know that P is closer to its final destination..
option 1 is suff

the answer must be option D

hope that helps!!

NOPE.I will not buy that idea.the term average itself means that its not constant but its an average over a period of time.yours entire approach is based on the last two term-entire trip.
Option has to be A.
BTW C can not be the answer

[pj02]

Originally Posted by guy with guts

can you tell me if two interior angles are 90 degrees y the other two will not be 90?as per me all are 90 so suffecient.
from second we cant say anythng unless regular can be used

Why other two will be 90?

We know one is 2 times the other. So its 60 and 120 thats the ONLY possibilility.

[pj02]

Originally Posted by nuttyvarun

@guy with guts
I like your conviction, "So Answer has to be A".. but unfortunately.. thats the wrong answer..

infact if you would notice option 2 closely (Train Q averaged a speed of 55 miles per hour for the entire trip) you would see that the speed of train Q remains constant througout the trip.. so you know the distance covered by Q each hour..

so in 2 hours Q would cover 55x2 = 110
in 2 hours Q meets P, so P has covered 250-110=140

so u know clearly that P is closer to its final destination..
option 2 is suff

coming back to option 1, "At the time when the two trains passed, train P had averaged a speed of 70 miles per hour." This means that train P has covered 70x2=140 at th etime it met train Q

thus Q must have travelled 250-140=110

so again u know that P is closer to its final destination..
option 1 is suff

the answer must be option D

hope that helps!!

Guys with guts is corect. Options should be A.

2nd statement is useless as its not talking anything abt speed when the trains meet. You never know what speed might be till that time.

Please note: Speed of Q is not constant throughout and its NOT possible to calculate distance travelled by it every hour.

Answer should be A.

[guy with guts]

Originally Posted by pj02

Why other two will be 90?

We know one is 2 times the other. So its 60 and 120 thats the ONLY possibilility.

NO dear , i am saying why choice A alone is not suffecient.When we know two angles are 90 , arn't the other two will be 90?
I tried to make a quadrilateral with two angles as 90 and other two different but................

[bhavin422]

Originally Posted by pj02

Vikram....
How can we have 45 and 135 as two angles? 135= 3 * 45

One angle should be double of the other and not Triple.

Hey pj02, Vikram's explanation for quadrilateral sum is perfect ...to satisfy the second condition of one angle being twice the other, no where has it been mentioned it is applicable to non right angles only..
so for 90-90-45-135 satisfies because 90 is twice of 45 and has nothing to do with 45 and 135

Originally Posted by guy with guts

NO dear , i am saying why choice A alone is not suffecient.When we know two angles are 90 , arn't the other two will be 90?
I tried to make a quadrilateral with two angles as 90 and other two different but................

If 2 angles are 90 in a quadrilateral, it does not imply other 2 are 90 as well...
I am sure u will be able to do it , else, draw a C, 2 edges are rt angles and stretch the lower or upper arm and join the slant line. other 2 are not 90 degrees

Ans E