... a sum of 8: 4 -8, 8- 4, 6-6, 10-2, 2-10 and so the
probability here is 5/36, which is greater.
Column B is greater.
22.
A: The probability of receiving “heads” at least once
B: 5 /8
AI: A ... balls:
12
1
8
2
9
3
.
2. The probability of two blue balls:
36
1
8
1
9
2
.
3. The probability of two yellow balls:
6
1
8
3
9
4
.
The total probability in column A =
18...
... + 4
B: X + 8
AI: X > 1
The best answer is D.
Replace X with two numbers: 2 and 10.
For X = 2: column A = 8 and column B = 10.
For X = 10: column A = 104 and column B = 18.
Since the ... zoo and that
each weighs 100 pounds there are 12 lions and each weigh 80 pounds.
The total weight of the lions is 12 x 80 = 960 pounds.
The total weight of the zebras is 10 x 100 = 1000...
... is 86 .
The average of these X students together with a score of 92 is 88 .
The best answer is B.
Let’s write the average of the X students with the extra grade:
88
1
9 286
X
X
86 X ...
A: 160
B:
7
81 0
18
63
The best answer is B.
There is only one way to solve this problem (guessing doesn’t count):
16262763
6
6
3
3
36
63
18
63
3
7
8
7
10
7
81 0
7...
... expression:
82 2526
25
26
25
3
222
2
2
2
4
YXYXYX
YX
YX
YX
YX
X-Y – 2
=8.
And therefore X = Y + 10, thus X is greater than Y.
20.
A: Y
B: 2
AI: 8Y
3
= 128Y
... less than $135, which is 75 .87 $
100
87 75
135$
100
65
.
We can see that her new income is less than Frank’s income and so column A is
greater than column B.
18.
A: The cost...
... the raffle
B: 80
AI: The chances of winning the raffle are 0. 08% . 10,000 people are participation in
the raffle.
The best answer is B.
0. 08% of 10000 = (0. 08/ 100) x 10000 = 8 and therefore ... on a straight line and therefore
their sum is 180 . Angles 5, 6, 1 and 2 sum up to 180 and therefore 5 and 6
by themselves are smaller than 180 degrees.
5.
A: 2BC
B: AB + AC
A...
... – 4 and therefore
the answer is C.
9.
A: 87
2
- 86
2
B: 172
The best answer is A.
We can write column A as (87 – 86 ) (87 + 86 ) = 1 (87 + 86 ) = 173.
Column A is greater than column B. ... column B.
6.
A: 5 18
B: 7 28
The best answer is C.
Column A = 282 5232252950 18 .
Column B = 282 622236247 28 .
The columns are equal.
7.
A: 487...
...
B: XY + 8
The best answer is D.
Open the parenthesis in column A: X
2
– 2XY +YX – 2Y
2
= X
2
– XY – 2Y
2
.
Subtract XY – 8 from both sides to get:
A = X
2
– 2XY – 2Y
2
– 8 and B = ... cannot be determined.
40.
A:
22
87
B:
22
96
The best answer B.
Simplify each of the statements to the following:
A = 1136449 and B = 11 781 36 . And therefore the answer...
... triangle is ( 180 – 32 – 68 = 80 ) degrees.
The side 8 is in front of the angle 32, which is the smallest one in the triangle and
therefore the other sides must be greater than 8 and so their ... are Y, Y and 180 – 2Y.
Focus on the upper corner of the triangle, the sum of the angles around it should be
360 degrees and therefore we can write: X + 180 – 2Y = 360
X – 2Y = 180 Y =...
... determine which is greater.
5.
A: 88 % of X
B:
X
8
7
The best answer is A.
1 /8 is (100 /8 = 12.5%) and therefore 7 /8 is 87 .5% of X, which is less than 88 %.
6.
A: The area of ... degrees and the angle CBA = 85 degrees.
The best answer is B.
The side in front of the larger angle is also greater.
IF BAC = 44 and CBA = 85 , ACB = 180 – 44 – 85 = 51 deg...