THE CORRECT ANSWER IS IN THE RED COLOR

1. Which one of the five choices makes the best comparison? LIVED is to DEVIL as 6323 is to:
a)2336
b)6232
c)3236
d)3326
e)6332

ANS:The most important thing to notice in comparing the words in this problem is that "devil" is "lived" spelled backwards. This is the pattern that you need to apply to the number 6323 - solve the problem by finding which number is 6323 "spelled" backwards. The answer is 3236, option C.

2. Which number should come next? 144 121 100 81 64 ?
a)17
b)19
c)36
d)49
e)50

ANS:The most important thing to notice in comparing the words in this problem is that all of these numbers are the product of a number multiplied by itself - they are all squares. In addition, the pattern is a descending list of sequential numbers, squared. Here is the pattern:
144 = 12 x 12121 = 11 x 11100 = 10 x 1081 = 9 x 964 = 8 x 8
The next number must be the product of 7 x 7. Therefore, the correct answer is 49, or option D.

3. John likes 400 but not 300; he likes 100 but not 99; he likes 3600 but not 3700. Which does he like:
a)900
b)1000
c)1100
d)1200

ANS:John likes squares of whole numbers. The consistent distinction between the pairs of numbers that John likes or doesn't like is that the one that John likes is a square of a whole number. Take a look:
John likes 400. The square root of 400 is 20.John doesn't like 300. The square root of 300 is approximately 17.32; it is not a whole number squared.
John likes 100. The square root of 100 is 10.John doesn't like 99. The square root of 99 is approximately 9.95; it is not a whole number squared.
John likes 3600. The square root of 3600 is 60.John doesn't like 3700. The square root of 3700 is approximately 60.83; it is not a whole number squared.
To answer the question, look through the list of 4 numbers to see which is a square of a whole number. The only number in the list that is exactly equal to a whole number multiplied by itself is 900. The square root of 900 is 30. Therefore, the answer is "A".

4. If you rearrange the letters "ANLDEGN," you would have the name of a(n):
a)Ocean
b)Country
c)State
d)City
e)Animal

ANS:If you unscramble the letters of "ANLDEGN," you get the word "ENGLAND." England is a country, therefore answer option B is correct.

5. NASA received three messages in a strange language from a distant planet. The scientists studied the messages and found that "Necor Buldon Slock" means "Danger Rocket Explosion" and "Edwan Mynor Necor" means "Danger Spaceship Fire" and "Buldon Gimilzor Gondor" means "Bad Gas Explosion". What does "Slock" mean?
a)Danger
b)Explosion
c)Nothing
d)Rocket
e)Gas

ANS:To solve this problem, study the three phrases and their translations to figure out the meanings of the foreign words. The phrases "Necor Buldon Slock" and "Buldon Gimilzor Gondor" both contain a word that translates as "explosion"; also, the only word that these two foreign phrases have in common is "buldon." Therefore, "buldon" must mean "explosion". Following this same procedure with "necor," you will find that "necor" means "danger". By looking at the first foreign phrase again - "Necor Buldon Slock" (which translates as "Danger Rocket Explosion") you can deduce that "slock" means "rocket" since you know the meanings for "buldon" and "necor". Translating word for word, the phrase is "Necor (Danger) Buldon (Explosion) Slock (Rocket)". As is generally the case with foreign languages, the sentence syntax differs in translation. Answer option D, or "Rocket," is the correct answer.

6. If some Wicks are Slicks, and some Slicks are Snicks, then some Wicks are definitely Snicks. The statement is:
a)True
b)False
c)Neither

ANS:Because the same Slicks that are also Wicks may not be the same Slicks that are also Snicks, we can draw no firm conclusions from the information given that there is a direct relationship between Snicks and Wicks. It is possible that some Wicks may also be Snicks, but you cannot correctly make the statement "some Wicks are definitely Snicks." Therefore, answer option "B," or False, is the right answer.

7. Ann is taller than Jill, and Kelly is shorter than Ann. Which of the following statements would be most accurate?
a)Kelly is taller than Jill
b)Kelly is shorter than Jill
c)Kelly is as tall as Jill
d)It's impossible to tell

ANS:The only information supplied in the question is that Ann is taller than both Kelly and Jill. Since there is no information in the question about the difference in height between Kelly and Jill and there is no way to draw conclusions from their shared relationship to Ann, it is impossible to tell how much taller or shorter Kelly is from Jill. Therefore, the correct answer is "D."


8. A boy is 4 years old and his sister is three times as old as he is. When the boy is 12 years old, how old will his sister be?
a)16
b)20
c)24
d)28
e)32

ANS:To solve this problem, try to relate everything to the age of the boy by naming the boy's age an unknown variable. For example:
Boy's age = xSister's age = x + 8 We know this works because the question has told us that when the boy was 4, his sister was 12 (3 times as old as he was when he was 4) and that is 8 years older than him. She won't always be 3 times as old as him, but she will always be 8 years older than him, so x + 8 is the best representation for the sister's age in relation to the boy's age. As the boy ages to 12 years old, we can replace x with his current age and x + 8 becomes 12 + 8, which equals 20. Therefore the correct answer is "B," or 20.


9. Two girls caught 25 frogs. Lisa caught four times as many as Jen did. How many frogs did Jen catch?
a)4
b)5
c)8
d)10
e)15

ANS:Try setting up an equation to solve this problem, with x=number of frogs that Jen caught. Since Lisa caught four times as many frogs as Jen did, 4x=number of frogs Lisa caught. The total frogs that the two girls caught is 25, so the final equation looks something like this: x + 4x = 25
Solve for x:
x + 4x = 255x = 25 combine like variables (x + 4x = 5x)x = 5 divide both sides of the equation by 5 (5x /5 = x; 25/5 = 5)
The solution to this problem is 5, therefore the answer is "B".

10. A car traveled 28 miles in 30 minutes. How many miles per hour was it traveling?
a)28
b)36
c)56
d)58
e)62

ANS:A useful thing to know in figuring out this problem is that Time travelled = Distance traveled/Rate of travel, or, T=d/r. To see how this works, plug in some numbers test it. For example, you know that if you are driving 60 miles per hour (rate), you can travel 120 mile (distance) in 2 hours (time). Plug this into the formula T=d/r to see if it's true: 2 = 120/60 - it works out!
Now that you have a formula that works, you can solve this problem by plugging in the values that are known. 30 minutes is the time, 28 miles is the distance, and the rate of travel (miles per hour) is unknown. Since you will want to solve this problem in terms of hours, you'll want the time to be expressed in terms of hours; 30 minutes is the same as 0.5 hours, which is the measurement that you'll want to use in your equation.
Solve for r:
0.5 = 28/r0.5r = 28 multiply both sides by r (0.5 x r = 0.5r; 28/r x r = 28)r = 56 divide both sides by 0.5 (0.5r/0.5 = r; 28/0.5 = 56)
Since r (the rate of travel) equals 56, the car was going 56 miles per hour and the correct answer to this problem is "C."


11. If all Zips are Zoodles, and all Zoodles are Zonkers, then all Zips are definitely Zonkers.The above sentence is logically:
a)True
b)False
c)Neither

ANS:To solve this problem, it may be helpful to draw a diagram. The question is phrased in such a way that you might be able to see a progression of inclusions, much like Russian nesting dolls (which stack one inside the other) or concentric circles. Try following this series of steps to arrive at your answer:The innermost layer is the group called "Zips". Draw a small circle in the middle of a piece of paper and write "Zips" inside the circle. The next layer out is the group called "Zoodles". Since we are told that all Zips are Zoodles, we know that the circle that we draw to signify the group called "Zoodles" will need to include the circle we drew to include the group called "Zips". However - this is where it gets tricky - this does not mean that all Zoodles are Zips, so we need to account for cases in which a Zoodle is not a Zip, so the circle we draw to signify the group called "Zoodles" must be larger than the one we drew to signify "Zips". Draw another circle on your paper, which both includes the circle you drew to signify the group called "Zips" and is also slightly larger than the Zips circle, then write "Zoodles" in the space inside the larger circle and outside the smaller circle. Your diagram should now look like two nested (or concentric) circles, the smaller marked "Zips" and the larger marked "Zoodles". What this diagram says is that "all Zips are Zoodles, but not all Zoodles are Zips". Continue in this way, drawing the third circle layer and identifying it as "Zonkers." Now the diagram reads "all Zips are Zoodles, but not all Zoodles are Zips - and - all Zoodles (and Zips) are Zonkers, but not all Zonkers are Zoodles (or Zips)." From looking at the completed diagram, we can see that the group called "Zips" is wholly included in the circle called "Zonkers," therefore, all Zips are definitely Zonkers and answer option "A", True, is the correct answer.

12. Sue is both the 50th best and the 50th worst student at her school. How many students attend her school?
a)50
b)75
c)99
d)100
e)101

ANS:If Sue is the 50th best student in her class, that means she is ranked number 50. Since she is ranked 50th worst as well, this means that she must have performed better than 49 of her lower-scoring classmates. Because her position is 50 and there are 49 students who scored lower than her, there must be 50 + 49=99 students total. The correct answer option is "C".


13. In a race from point X to point Y and back, Jack averages 30 miles per hour to point Y and 10 miles per hour back to point X. Sandy averages 20 miles per hour in both directions. If Jack and Sandy begin the race at the same time, who will finish first?
a)Jack
b)Sandy
c)They tie
d)Neither
e)Impossible to tell

ANS:To figure out this problem, the first thing you might want to do is choose an arbitrary distance between point X and point Y. In this example, 60 is an easy number to work with so let's say the distance between point X and point Y is 60 miles.
If Jack averaged 30 miles per hour from point X to point Y, he would have arrived at point Y in two hours (60 miles/30 mph = 2 hours). If he averaged 10 miles per hour on the return trip, he would have arrived back at point X after 6 hours (60 miles/10 mph = 6 hours). His total travel time would have been 8 hours (two hours to get there, six hours to return).
If Sandy averaged 20 miles per hour from point X to point Y, she would have arrived at point Y in three hours (60 miles/20 mph = 3 hours). If she averaged 20 miles per hour on the return trip, she would have arrived back at point X after 3 hours (60 miles/20 mph = 3 hours). Her total travel time would have been 6 hours (three hours to get there, three hours to return).
Sandy finished traveling first; the correct answer is "B."


14. Ten people can paint 60 houses in 120 days, so five people can paint 30 houses in:
a)15 days
b)30 days
c)60 days
d)120 days

ANS:To solve this problem, try simplifying. If the ten people who had the task of painting 60 houses in 120 days decided that they all wanted to work alone, one person painting one house at a time, how many houses would just one person need to paint to have all 60 houses painted by the deadline in 120 days? To figure this out, you would divide 10 people into 60 houses to get 6 houses each. One person would need to paint 6 houses in 120 days to complete the goal. You can check your work by multiplying it back out - if each of 10 people painted 6 houses each in 120 days, how many houses would be painted at the end of the period? 10 multiplied by 6 is 60.
Now, how long would it take for 5 people to paint 30 houses? Well, if they decided to divide the work amongst themselves and work alone, each of five people would paint 6 houses. So, the question becomes, how long would it take for one person to paint 6 houses? We already know that it takes one person 120 days to paint 6 houses, so the correct answer is that 5 people can paint 30 houses in 120 days, or answer option "D".


15. Which number should come next? 64, 16, 4, 1, 1/4?
a)1/16
b)1/12
c)1/8
d)1/2
e)1

ANS:The pattern of this number sequence is to divide the last number in sequence to arrive at the next number in sequence.
64 divided by 4 is 1616 divided by 4 is 44 divided by 4 is 11 divided by 4 is 1/41/4 divided by 4 is 1/16
The correct answer is 1/16, answer option "A".


16. What number is one half of one quarter of one tenth of 800?
a)2
b)5
c)8
d)10
e)40

ANS:To solve this problem, break it down into a mathematical equation and solve it in stages according to mathematical laws. Here is the equation:
(1/2 (1/4 (800/10))) = ?
To solve the equation, start from the innermost parentheses and work your way out, doing one operation at a time. In this example, each step is executed, updating the equation each time on the right side of the equals sign:
1/2 (1/4 (800/10)) = 1/2 (1/4 (80)) or it can also be written = 1/2 (80/4)= 1/2 (20) or it can also be written = 20/2= 10
The correct answer is answer option "D".


17. Two cars start off at the same point on a straight highway facing opposite directions. Each car drives for 6 miles, takes a left turn, and drives for 8 miles. How far apart are the two cars? 2 miles
a)11 miles
b)14 miles
c)20 miles
d)26 miles
ANS:To solve this problem, you may want to get a piece of scratch paper. Draw a point on your paper that indicates the starting location of both cars. From here, draw a line that is 6 units long in opposite directions from the starting point (you decide what a unit is; if you used ? inch as your unit, the distance that on car goes would be 1 ? inches). The line you end up with should be 12 units long and straight. For the purposes of this example, let's say that line runs East-West. From there, each car turns left and drives 8 miles (units). In this case, one of the cars would have driven due north and the other would have driven due south. Your illustration should look kind of like a "Z". Now you know the location of each car.
To find out how far apart they are, use the Pythagorean Theorem, which says that the square of the longest side (hypotenuse) of a right triangle is equal to the sum of the squares of the other two sides. In this case, the distance between the two points is the hypotenuse of a right triangle. The distance the cars drove away from each other in the East-West direction was 12 miles, so one side of the right triangle is 12 units long. The distance the cars drove away from each other in the North-South direction was 16 miles, so the other side of the right triangle is 16 units long. Plugging these values into the Pythagorean Theorem, you should get:
12^2 + 16^2 = c^2144 + 256 = c^2400 = c^2SQRT 400 = c20 = c
The cars are 20 miles apart, so answer option "c" is the correct answer.