gmat quant topic 8 - probability solutions
gmat quant topic 8 - probability solutions
... groups of 4 form a 2-by-2 square? If you analyze the 3-by-3 grid above you’ll see there are
only 4 groups that form a 2-by-2 square (ABDE, BCEF, DEGH, & EFHI).
Thus the correct probability is ... is the denominator of
our probability fraction.
The numerator of our probability fraction can be represented by the total # of 2-by-2 grids available in any
x-
by
-x
grid. Testing thi...
gmat quant topic 2 statistics solutions
... differences: 10
2
+ 9
2
+ 8
2
+ 7
2
+ 6
2
+ 5
2
+ 4
2
+ 3
2
+ 2
2
+ 1
2
+ 0
2
+ (-1 )
2
+ (-2 )
2
(-3 )
2
+ (-4 )
2
+ (-5 )
2
+ (-6 )
2
(-7 )
2
+ ( -8 )
2
+ (-9 )
2
+ (-1 0)
2
= 770.
Average ... this set is 11. The correct answer is D.
18.
Range before transaction:
11 2-4 5=67
Range after transaction:
(94+24 )-( 5 6-2 0)=1 1 8- 36 =82
The...
gmat quant topic 4 - numbers solutions
... out)
(x-2)
2
+ (x+2)
2
= 2x
2
+ 8 (again the -4 x and the 4x terms cancel out)
(x-3)
2
+ (x+3)
2
= 2x
2
+ 18 (the -6 x and 6x terms cancel out)
(x-4)
2
+ (x+4)
2
= 2x
2
+ 32 (the -8 x and 8x ... 13 Odd
5 t
5
= 13 + 5 = 18 Even
6 t
6
= 18 + 6 = 24 Even
7 t
7
= 24 + 7 = 31 Odd
8 t
8
= 31 + 8 = 39 Odd
Notice that beginning with n = 1, a pattern of even-even-odd-od...
gmat quant topic 5 - geometry solutions
... 60.
Answer is E
18.
Sum of 4 angles = (n - 2) * 180 = 360
From 1: sum of the remaining angles are 360 - 2*90 = 180
From 2: either x + 2x = 180 => x = 60
Or x = 90/2 = 45 and y = 180 - 45 = 135.
Answer ... rectangle is (x + 4)(x - 4), or x
2
- 16. Their combined
area is 2(x
2
- 16), or 2x
2 _
32.
Since we know that 2x
2
= 9 68, the combined area of the two whit...
gmat quant topic 9 - miscellaneous solutions
...
be, x-1, x-2, x-3, x-4, x-5
So, 38+ x+x-1+x-2+x-3+x-4+x-5=90
6x=67
x=67/6>11
32.
Let attend fee be x, number of person be y:
Form 1, (x-0.75)(y+100)=xy 100x-0.75y-75=0
From 2, (x+1.5)(y-100)=xy ... least $88
From 1, 150/25=6, at least 6 hardcover books.
From 2, 26 0-1 50 -8 8 =22, is not enough to buy a hardcover book.
Combined 1 and 2, we know that Juan bought 6 hardcover books.
An...
gmat quant topic 1 (general arithmetic) solutions
... relationships between x and y:
PRACTIC
AL - PASS
PRACTIC
AL - FAIL
TO
TA
LS
WRITTE
N - PASS
.7x = .8y .3x x
WRITTE
N - FAIL
.2y 0 .2y
TOTALS y .3x 188
.7x = .8y
y + .3x = 188
This would allow us to solve ... .7x.
PRACTIC
AL - PASS
PRACTIC
AL - FAIL
TO
TA
LS
WRITTE
N - PASS
.7x .3x x
WRITTE
N - FAIL
0
TOTALS .3x 188
(2) INSUFFICIENT: If we add the fact that...
gmat quant topic 3 (inequalities + absolute value) solutions
... correct answer is D.
25.
X-2Y < -6 => -X + 2Y > 6
Combined X - Y > -2 , we know Y > 4
X - Y > -2 => -2 X + 2Y < 4
Combined X - 2Y < -6 , we know -X < -2 => X > 2
Therefore, ... 0-1 0 1 0-2 0 2 0-3 0 3 0-4 0 4 0-5 0 5 0-6 0 60+
speed
And since Missile 2's rate doubles every 10 minutes, Missile 2 will be travelin...
gmat quant topic 6 co-ordinate geometry solutions
... has coordinates (0,0) and b could have coordinates:
(-1 0,0)
( -8 , 6)
(6 ,8)
(0,10)
(6 ,8)
(8, 6)
(10,0)
(8, -6 )
(6, -8 )
(0, 10)
(-6 , -8 )
( -8 , -6 )
There are 12 different ways to draw ab, and so there ... of -1 .
(A) (8 – 9) ÷ (5 – 4) = -1 /1 = -1 .
(B) (-1 – (-2 )) ÷ (3 – 4) = 1/ (-1 ) = -1 .
(C) (6 – 9) ÷ (-1 – (-4 )) = -3 /3 = -1...
gmat quant topic 7 - p and c sol
... victory circles: Albert-GOLD, Cami-GOLD,
Bob-GOLD. Bob-GOLD, Albert-GOLD, Cami-GOLD. Bob-GOLD, Cami-GOLD, Albert-GOLD. Cami-
GOLD, Albert-GOLD, Bob-GOLD. Cami-GOLD, Bob-GOLD, Albert-GOLD. Each unique ... GOLD-SILVER-BRONZE victory circles. (Combination 2) 12 unique GOLD-
GOLD-SILVER victory circles. (Combination 3) 12 unique GOLD-SILVER-SILVER victory circles.
(Combination 4) 4 unique GOLD-...
Manhattan advanced GMAT quant
... of the 8 chapters in Part I and Part II contains
Try-It Problems, embedded throughout the text, and
In-Action Problems at the end of the chapter.
Many of these problems will be GMAT- like in ... PATTERNS
In Action Problems
Solutions
6. COMMON TERMS & QUADRATIC TEMPLATES
In Action Problems
Solutions
7. VISUAL SOLUTIONS
In Action Problems
Solutions
Solution to Try-It #0–3...