Q. Identify the error in the sentence: 'Each of the players have their own locker.'
A.
Each
B.
of
C.
have
D.
own
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Solution
'Have' should be 'has' because 'each' is singular.
Correct Answer:
C
— have
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Q. Identify the error in the sentence: 'Neither the teacher nor the students was ready for the exam.'
A.
Neither
B.
the
C.
nor
D.
was
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Solution
'Was' should be 'were' because the subject 'students' is plural.
Correct Answer:
D
— was
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Q. Identify the idiom that means 'to be very happy'.
A.
Under the weather
B.
On cloud nine
C.
Bite the bullet
D.
Break the ice
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Solution
'On cloud nine' is an idiom that means to be very happy.
Correct Answer:
B
— On cloud nine
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Q. Identify the idiom that means 'to make a decision'.
A.
Cross that bridge when you come to it
B.
Cut to the chase
C.
Get the ball rolling
D.
Pull the trigger
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Solution
'Pull the trigger' is an idiom that means to make a decision or take action.
Correct Answer:
D
— Pull the trigger
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Q. Identify the sentence with the correct use of 'their'.
A.
Their going to the party.
B.
They are bringing their friends.
C.
Their is a nice day.
D.
I saw their car.
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Solution
'They are bringing their friends.' uses 'their' correctly as a possessive pronoun.
Correct Answer:
B
— They are bringing their friends.
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Q. Identify the word that does not belong: 'Apple, Banana, Carrot, Grape'.
A.
Apple
B.
Banana
C.
Carrot
D.
Grape
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Solution
'Carrot' is a vegetable, while the others are fruits.
Correct Answer:
C
— Carrot
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Q. Identify the word that logically follows: 'Sunrise, Noon, ___'?
A.
Dusk
B.
Midnight
C.
Sunset
D.
Evening
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Solution
The logical sequence of times of day is 'Sunrise, Noon, Sunset'.
Correct Answer:
C
— Sunset
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Q. If 'A' is a parent and 'B' is a child, can we conclude that 'A' is not a child?
A.
Yes
B.
No
C.
Only if 'B' is not a parent
D.
Only if 'A' is not a sibling
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Solution
The conclusion is valid because a parent cannot also be a child in the same relationship context.
Correct Answer:
A
— Yes
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Q. If 'A' is taller than 'B' and 'B' is taller than 'C', can we conclude that 'A' is taller than 'C'?
A.
Yes
B.
No
C.
Only if 'C' is not taller than 'B'
D.
Only if 'A' is not shorter than 'B'
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Solution
The conclusion is valid due to the transitive property of height.
Correct Answer:
A
— Yes
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Q. If 'A' represents 'Birds' and 'B' represents 'Flying Animals', what does the area outside both circles represent?
A.
Birds that cannot fly
B.
Flying animals that are not birds
C.
Neither birds nor flying animals
D.
Both birds and flying animals
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Solution
The area outside both circles represents entities that are neither birds nor flying animals.
Correct Answer:
C
— Neither birds nor flying animals
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Q. If 'A' represents 'Birds' and 'B' represents 'Flying Animals', which of the following is true?
A.
All birds can fly
B.
Some flying animals are not birds
C.
All flying animals are birds
D.
Birds are not flying animals
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Solution
The statement 'Some flying animals are not birds' is true, as there are flying animals like bats.
Correct Answer:
B
— Some flying animals are not birds
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Q. If 'X' is a square and 'Y' is a rectangle, can we conclude that 'X' is not a rectangle?
A.
Yes
B.
No
C.
Only if 'Y' is not a square
D.
Only if all rectangles are not squares
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Solution
The conclusion is valid because a square is a specific type of rectangle, but not all rectangles are squares.
Correct Answer:
A
— Yes
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Q. If 'X' is equal to 'Y' and 'Y' is greater than 'Z', which statement is true?
A.
X is greater than Z
B.
Z is greater than X
C.
Y is less than Z
D.
X is less than Y
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Solution
Since 'X' equals 'Y' and 'Y' is greater than 'Z', it follows that 'X' is also greater than 'Z'.
Correct Answer:
A
— X is greater than Z
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Q. If 'X' is to 'Y' as 'A' is to which of the following?
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Solution
The relationship is not defined, but if 'X' relates to 'Y' in a certain way, 'A' would relate to 'B' in the same way.
Correct Answer:
A
— B
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Q. If 'X' represents 'Cars' and 'Y' represents 'Electric Vehicles', what does the overlap signify?
A.
Only cars
B.
Only electric vehicles
C.
Cars that are electric vehicles
D.
Neither
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Solution
The overlap signifies cars that are also electric vehicles, indicating a shared characteristic.
Correct Answer:
C
— Cars that are electric vehicles
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Q. If a book costs $15 and you buy 4 books, how much do you spend?
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Solution
4 books at $15 each costs 4 * 15 = $60.
Correct Answer:
B
— 60
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Q. If a car is moving towards the west and takes a right turn, which direction will it be heading?
A.
North
B.
South
C.
East
D.
West
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Solution
A right turn from West will lead the car to face North.
Correct Answer:
A
— North
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Q. If a car travels 60 miles in 1 hour, how far will it travel in 3 hours at the same speed?
A.
120 miles
B.
180 miles
C.
150 miles
D.
200 miles
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Solution
At 60 miles per hour, in 3 hours the car will travel 60 * 3 = 180 miles.
Correct Answer:
B
— 180 miles
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Q. If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?
A.
120 miles
B.
180 miles
C.
150 miles
D.
200 miles
Show solution
Solution
The car travels 60 miles per hour. In 3 hours, it will travel 60 * 3 = 180 miles.
Correct Answer:
B
— 180 miles
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Q. If a company cuts costs, what is a likely consequence?
A.
A. Increased profits
B.
B. Higher employee morale
C.
C. More product variety
D.
D. Decreased efficiency
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Solution
Cutting costs often leads to increased profits as expenses are reduced.
Correct Answer:
A
— A. Increased profits
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Q. If a company is 'in the red', what does it imply?
A.
A. They are making profits
B.
B. They are in debt
C.
C. They are expanding
D.
D. They are stable
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Solution
'In the red' means the company is operating at a loss or in debt.
Correct Answer:
B
— B. They are in debt
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Q. If a cube has a side length of 4 cm, what is its volume?
A.
16 cm³
B.
64 cm³
C.
48 cm³
D.
32 cm³
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Solution
The volume of a cube is calculated as side³. Therefore, 4 cm × 4 cm × 4 cm = 64 cm³.
Correct Answer:
B
— 64 cm³
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Q. If a cube has a surface area of 150 cm², what is the length of one side?
A.
5 cm
B.
6 cm
C.
7 cm
D.
8 cm
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Solution
Surface area = 6s². Therefore, 150 = 6s², s² = 25, s = 5 cm.
Correct Answer:
B
— 6 cm
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Q. If a cube's edge is increased by 50%, what is the new volume compared to the original?
A.
Increased by 50%
B.
Increased by 125%
C.
Increased by 100%
D.
Increased by 200%
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Solution
If the edge is increased by 50%, the new edge length is 1.5 times the original. The volume increases by (1.5)³ = 3.375 times, which is an increase of 237.5%.
Correct Answer:
B
— Increased by 125%
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Q. If a cube's side is doubled, how does its volume change?
A.
doubles
B.
triples
C.
quadruples
D.
increases eightfold
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Solution
If the side is doubled, the new volume is (2s)³ = 8s³, which is eight times the original volume.
Correct Answer:
D
— increases eightfold
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Q. If a cube's surface area is 150 cm², what is the length of one side?
A.
5 cm
B.
6 cm
C.
7 cm
D.
8 cm
Show solution
Solution
Surface area of a cube = 6s², so 6s² = 150 cm², thus s² = 25 cm², and s = 5 cm.
Correct Answer:
B
— 6 cm
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Q. If a cube's volume is 27 cm³, what is the length of one side?
A.
3 cm
B.
4 cm
C.
5 cm
D.
6 cm
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Solution
The side length is the cube root of the volume. Thus, side = ³√27 = 3 cm.
Correct Answer:
A
— 3 cm
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Q. If a cuboid has a length of 10 cm, a width of 5 cm, and a height of 1 cm, what is its volume?
A.
50 cm³
B.
100 cm³
C.
25 cm³
D.
75 cm³
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Solution
The volume of a cuboid is calculated as length × width × height. Therefore, 10 cm × 5 cm × 1 cm = 50 cm³.
Correct Answer:
A
— 50 cm³
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Q. If a cuboid has a volume of 120 cm³ and a height of 5 cm, what is the area of its base?
A.
20 cm²
B.
24 cm²
C.
30 cm²
D.
15 cm²
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Solution
Volume = base area × height. Therefore, base area = Volume / height = 120 cm³ / 5 cm = 24 cm².
Correct Answer:
B
— 24 cm²
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Q. If a die is rolled, which number is least likely to appear?
A.
1
B.
2
C.
3
D.
All are equally likely
Show solution
Solution
All numbers on a fair die (1-6) are equally likely to appear, each with a probability of 1/6.
Correct Answer:
D
— All are equally likely
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