CCAT Practice Test with Questions, Answers, and Explanations

1. Chewing gum sells for $0.10 per box, how many boxes can you buy for $2.50?

A. 12
B. 17
C. 20
D. 22
E. 25

Answer: 

The correct answer is (E) - 25.

To find how many boxes we can buy, we divide the total amount of money by each box's price. Note that to simplify the solution, you can move the decimal point in both numbers one place to the right:

$2.5/$0.1 is exactly the same as $25.0 / $1.0 = 25/1 = 25

Another way to perform the calculations is to convert 0.10 to 1/10 and 2.50 to 2 1/2 = 5/2.

5/2 divided by 1/10 is identical to 5/2 multiplied by 10:

5/2*10=50/2=25.

2. Which of the following boxes should replace the question mark (?) to complete the pattern?

Answer: 

The correct answer is B

In this matrix:
Across a row and down a column, each position has a different shape within every frame, and the upper-right corner is always empty.

You can eliminate the 3rd answer-option because it has an empty spot in the wrong place. Since you do not have an O in the lower-left corner in the third row and column, you should look for an answer-option with an O in the lower-left corner and eliminate the 4th and 5th answer-options. You can also eliminate the 1st answer-option because there already is a frame with an X in the lower-right corner.

Therefore, you are left with the answer (B) as the only correct answer.

3. Some attorneys become judges later in their legal careers. All attorneys argue their clients' cases before a jury.

Some people who argue their clients' cases before a jury become judges.

A. Conclusion follows
B. Conclusion does no follow

Answer: 

The answer is (A) - Conclusion follows.

Attorneys = A, judges = B, argue their clients' cases before a jury = C.
According to the premises, (A + B)*some, and (A -> C).

The conclusion states (C + B)*some.

The conclusion is a combination of the two premises. If (A -> C), and (A + B)*some, then (C + B)*some.

In other words:

If all attorneys argue their clients' cases before a jury, and some attorneys become judges, then it can be concluded that some people (of which attorneys are a subgroup) who argue their clients' cases before a jury become judges.

4. 7 | 14 | 28 | 32 | 64 | 128 | ? | ?

A. 257 | 1128
B. 208 | 514
C. 132 | 264
D. 340 | 684

Answer:

The correct answer is (C) - 132 | 264. 

5. Which of the following does not belong?

Answer:

The correct answer is (C) - 132 | 264. 

The series repeatedly increases by x2, x2, +4.

6. IMPERIOUS is the opposite of...

A. Arrogant
B. Moody
C. Subserviant
D. Quiet
E. Stormy

Answer: 

The correct answer is (C) - subservient.

Imperious means "domineering in a haughty manner; dictatorial; overbearing," so the antonym is subservient. Arrogant is a similar word but not a synonym. Quiet and stormy are not related.

Therefore, the correct answer is subservient.

7. Click on the odd one out:

Answer: 

The correct answer is (E).

The logic: In each square, a certain shape appears several times. The shape’s size may vary, though there is always one distinctively larger shape. The number of shapes in a box corresponds to the number of sides or lines from which the shape is composed.

Option A consists of five pentagons, each comprising five sides.
Option B consists of four diamonds, each comprising four sides.
Option C consists of five-pointed rectangles, each comprising five sides.
Option D consists of four trapezoids, each comprising four sides.
Option E is the odd one out because it does not follow this established rule. A star has 10 sides, and there are 5 (not 10) stars in the box.

8. The combined ages of a dog and his owner are 96 years in total. The owner is 3 times older than his dog. How old is the owner?

A. 24
B. 34
C. 58
D. 72
E. 81
F. None of these

Answer: 

The correct answer is (D) - 72.

If the owner is 3 times older than his dog, we can create an equation letting the dog be X and the owner be 3X (as 3X is three times greater than X), with a total sum of 96 (their combined ages)
3X+X = 96
4X = 96
X = 24
The owner is 3X = 3*24 = 72

The question can also be solved by trying the answers instead of writing a formula. For example:

If answer A is correct, the owner is 24 years old, and the dog would be 24/3 = 8 years old. Together they would be 24+8 = 32 years old. Seeing that this number is much too small would be wise to move to a much bigger number.

If answer D is correct, the owner is 72 years old, and the dog would be 72/3 = 24 years old. Together they would be 72+24 = 96 years old.

Note: because the owner is 3 times older than his dog, and their sum of ages is a whole number, the owner's age must be divided by 3 without a remainder. Thus, answers B and C (34 and 58) can be eliminated immediately.

9. Please select a pair of words that have a similar relationship

Vineyard : Grapes

A. Laboratory : Bacteria
B. Field: Mango
C. Wild : Wolfs
D. Orchard : Oranges

Answer: 

The answer is (D) - 'orchard' : 'oranges'.

'Grapes' grow in a 'vineyard' just as 'oranges' grow in an 'orchard. ' 'Mangos' do not grow in a 'field' but rather in a grove or orchard. 'Bacteria' may grow in a 'laboratory,' but they are also present in a host of other environments.

10. Ben is 75% of his uncle's age and 3 times older than his nephew. If Ben's uncle is 50 years old, how old is Ben's nephew?

A. 10.5
B. 28
C. 17
D. 9.5
E. 12.5

Answer: 

The correct answer is (E) – 12.5.

According to the question, Ben's uncle is 50 years old, and Ben is 75% of his age.
Ben is also 3 times older than his nephew. Therefore, Ben links the uncle's age and the nephew's age. Hence, to find the nephew's age first, you must calculate Ben's age.