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Can either of you explain your answer choice? OA is E

by PGMAT

Sun Oct 14, 2012 6:19 am
Forum: Critical Reasoning
Topic: weakens the conclusion above EXCEPT
Replies: 6
Views: 2704

weakens the conclusion above EXCEPT

A greater number of cars are sold in Town P than in Town Q. Therefore, the citizens of Town P spend more time driving their cars, per capita, than do the citizens of Town Q. Each of the following, if true, weakens the conclusion above EXCEPT: A.Town P has a larger population than Town Q. B.Most citi...

by PGMAT

Sat Oct 13, 2012 12:51 pm
Forum: Critical Reasoning
Topic: weakens the conclusion above EXCEPT
Replies: 6
Views: 2704

Smallest possible difference

N and M are each 3-digit integers. Each of the numbers 1, 2, 3, 6, 7, and 8 is a digit of either N or M. What is the smallest possible positive difference between N and M? A. 29 B. 49 C. 58 D. 113 E. 131 Can some one show how this can be solved under 2 minutes? It can be solved using various combina...

by PGMAT

Thu Oct 11, 2012 12:02 pm
Forum: Problem Solving
Topic: Smallest possible difference
Replies: 5
Views: 5666

If x and y are integers, is X > Y?

If x and y are integers, is X > Y?

1) x + y > 0
2) y^x < 0

Can some one explain this with examples?

C

by PGMAT

Mon Sep 03, 2012 8:38 am
Forum: Data Sufficiency
Topic: If x and y are integers, is X > Y?
Replies: 2
Views: 1427

Area

In the attached figure, is the area of triangular region ABC equal to the area of triangular region DBA ?

(1) (AC)^2=2(AD)^2

(2) ∆ABC is isosceles.

Source: OG13 DS79

[spoiler]OA:C[/spoiler]

by PGMAT

Mon Sep 03, 2012 8:22 am
Forum: Data Sufficiency
Topic: Area
Replies: 2
Views: 1106

Compound Interest

Michelle deposited a certain sum of money in a savings account on July 1st, 2007. She earns an 8% interest compounded semiannually. The sum of money in the account on December 31st, 2009 is approximately what percent of the initial deposit? 117% 120% 121% 135% 140% Can some one show an easy way to s...

by PGMAT

Thu Aug 30, 2012 5:36 pm
Forum: Problem Solving
Topic: Compound Interest
Replies: 3
Views: 1664

Area of triangle

What is the area of a triangle formed by lines y=5-x, 2y=3x , y=0?
7.5
8
9
10.5
15

Can some one explain how to approach such problems?
Thanks.
A

by PGMAT

Sat Aug 11, 2012 5:56 am
Forum: Problem Solving
Topic: Area of triangle
Replies: 1
Views: 1489

line y=Kx+B and line y=Bx+K intersect?

At what angle do line y=Kx+B and line y=Bx+K intersect? 1. B+K=1 2. B*K=0 [spoiler]OA is C. the lines intersect at 45 degrees. I arrived at A. Can some one explain what I am missing. I solved both equations, and came up with x=1, y=K+B. From 1) B+K=1, which means (1,1) and the angle is 45 degrees. S...

by PGMAT

Sat Aug 11, 2012 5:37 am
Forum: Data Sufficiency
Topic: line y=Kx+B and line y=Bx+K intersect?
Replies: 1
Views: 2831

Co-ordinate Geometry

if vertices of triangle have coordinates (1,1), (4,1), and (x,y) , what is the area of the triangle? 1. y^2-2y-3=0 2.x^2 = y^2 [spoiler]OA is A. Can some one explain how A alone is sufficient. OE says its possible to calcualte area since height is 2. But my question is, even though y=3 or y=-1, it d...

by PGMAT

Sat Aug 11, 2012 5:17 am
Forum: Data Sufficiency
Topic: Co-ordinate Geometry
Replies: 1
Views: 842

The coordinates of points A and C are (0, -3) and (3, 3), respectively. If point B lies on line AC between points A and C, and if AB = 2BC, which of the following represents the coordinates of point B? (1, -) (1, -1) (2, 1) (1.5, 0) (,) what is the easiest way to solve this? [spoiler]OA:C[/spoiler]...

by PGMAT

Thu Jul 19, 2012 3:54 pm
Forum: Problem Solving
Topic: The coordinates of points A and C are (0, -3) and (3, 3)
Replies: 4
Views: 3827

The coordinates of points A and C are (0, -3) and (3, 3)

The coordinates of points A and C are (0, -3) and (3, 3), respectively. If point B lies on line AC between points A and C, and if AB = 2BC, which of the following represents the coordinates of point B?

(1, -)
(1, -1)
(2, 1)
(1.5, 0)
(,)

what is the easiest way to solve this?

[spoiler]OA:C[/spoiler]

by PGMAT

Wed Jul 18, 2012 9:08 pm
Forum: Problem Solving
Topic: The coordinates of points A and C are (0, -3) and (3, 3)
Replies: 4
Views: 3827

If a and b are distinct positive integers

If a and b are distinct positive integers, what is the units digit of 2^a 8^b 4^(a+b)? 1. b=24 and a<24 2. The greatest common factor of a and b is 12 [spoiler]OA is B. Can some one please explain how to solve this? I took different values for a and b with GCF 12 for statement 2 and got different un...

by PGMAT

Thu Jul 05, 2012 7:12 pm
Forum: Data Sufficiency
Topic: If a and b are distinct positive integers
Replies: 1
Views: 2030

Probability

Set A consists of all the integers between 10 and 21, inclusive. Set B consists of all the integers between 10 and 50 inclusive. If x is a number chosen randomly from Set A, y is a number chosen randomly from set B, and y has no factor z such that 1 < z < y, what is the probability that the product ...

by PGMAT

Thu Jul 05, 2012 7:05 pm
Forum: Problem Solving
Topic: Probability
Replies: 1
Views: 1147

Mitch, thanks for excellent explanation.
I have a related question. Please help me understand if I am solving correctly. Thanks.

If x^3<16x; what are the possible solutions of x?

x^3<16x
x^3-16x<0
x(x^2-16)<0
x<0 or x^2<16 ==> |x|<4 ==> -4<x<4

by PGMAT

Tue Jul 03, 2012 4:37 pm
Forum: Data Sufficiency
Topic: Inequalities
Replies: 4
Views: 1624

Is the product st negative?

Is the product st negative? (1) s^2 - s < 0 (2) (s-4)/(t-3) = 1 OA is C . I don't understand how B cannot be sufficient. Stmt 2 says S=t+1, which means one of them is 0 so st=0 OR both positive OR both negative. In all these cases st is positive or 0 which means it is not negative. This should be su...

by PGMAT

Mon Jul 02, 2012 6:05 pm
Forum: Data Sufficiency
Topic: Is the product st negative?
Replies: 1
Views: 2231