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Q. A person is facing north. He turns 90 degrees clockwise, then 180 degrees anti-clockwise. Which direction is he facing now? (2023)
A.
North
B.
South
C.
East
D.
West
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Solution
After turning 90 degrees clockwise, he faces East. After turning 180 degrees anti-clockwise, he faces West.
Correct Answer: D — West
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Q. A person starts facing East, turns 270 degrees clockwise, and then turns 90 degrees anti-clockwise. What direction is he facing now? (2023)
A.
North
B.
South
C.
East
D.
West
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Solution
From East, a 270 degrees clockwise turn leads to South. A 90 degrees anti-clockwise turn from South leads to East.
Correct Answer: B — South
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Q. A person starts facing south, turns 90 degrees to the left, then 90 degrees to the right. Which direction is he facing now? (2020)
A.
North
B.
South
C.
East
D.
West
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Solution
Starting from South, turning left leads to East, and turning right from East leads to South.
Correct Answer: D — West
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Q. A person starts facing West, turns 90 degrees to the right, then turns 90 degrees to the left. What direction is he facing now? (2023)
A.
North
B.
South
C.
East
D.
West
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Solution
From West, a 90 degrees right turn leads to North. A 90 degrees left turn from North leads back to West.
Correct Answer: D — West
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Q. A person walks 10 meters North, then 10 meters West, and finally 10 meters South. In which direction is he from his starting point? (2023)
A.
North
B.
South
C.
East
D.
West
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Solution
He ends up 10 meters West of his starting point after walking North, West, and South.
Correct Answer: D — West
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Q. A person walks 15 meters north, then 10 meters east. What is the shortest distance from his starting point? (2023)
A.
10 meters
B.
15 meters
C.
25 meters
D.
18.03 meters
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Solution
Using Pythagoras theorem, the distance is √(15^2 + 10^2) = √(225 + 100) = √325 = 18.03 meters.
Correct Answer: D — 18.03 meters
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Q. A person walks 5 km North, then 5 km East, and finally 5 km South. How far is he from his starting point? (2023)
A.
5 km
B.
10 km
C.
0 km
D.
15 km
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Solution
After walking North and then South, he returns to the same latitude, and since he walked East, he is 5 km East of the starting point.
Correct Answer: C — 0 km
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Q. A pie chart shows the distribution of expenses for a family. If the family spends 40% on rent, 30% on food, 20% on utilities, and the rest on entertainment, what percentage is spent on entertainment? (2023)
A.
5%
B.
10%
C.
15%
D.
20%
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Solution
Total percentage = 100%; Rent + Food + Utilities = 40 + 30 + 20 = 90%; Entertainment = 100 - 90 = 10%.
Correct Answer: C — 15%
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Q. A pie chart shows the distribution of expenses in a household. If the rent is represented by 120 degrees, what fraction of the total expenses does it represent? (2023)
A.
1/3
B.
1/4
C.
1/2
D.
2/3
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Solution
120 degrees out of 360 degrees is 120/360 = 1/3.
Correct Answer: A — 1/3
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Q. A pie chart shows the market share of four companies. If Company A has 30%, Company B has 25%, Company C has 20%, what percentage does Company D have? (2023)
A.
15%
B.
20%
C.
25%
D.
30%
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Solution
Total percentage is 100%. Therefore, Company D has 100% - (30% + 25% + 20%) = 25%.
Correct Answer: A — 15%
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Q. A runner completes a 400 m track in 50 seconds. What is their speed in m/s? (2023)
A.
6 m/s
B.
7 m/s
C.
8 m/s
D.
9 m/s
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Solution
Speed = Distance/Time = 400 m/50 s = 8 m/s
Correct Answer: A — 6 m/s
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Q. A student has scores of 60, 70, and 80 in three tests. If he wants an average of 75 after the fourth test, what score does he need?
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Solution
Let the fourth score be x. (60 + 70 + 80 + x) / 4 = 75 => 210 + x = 300 => x = 90.
Correct Answer: A — 90
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Q. A student scored 80, 90, and 70 in three subjects. If the fourth subject is scored 100, what will be the weighted average of the scores?
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Solution
The average is (80 + 90 + 70 + 100) / 4 = 85.
Correct Answer: B — 90
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Q. A survey shows that 60% of people prefer tea over coffee. If 240 people were surveyed, how many prefer coffee? (2023)
A.
60
B.
80
C.
100
D.
120
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Solution
People who prefer tea = 60% of 240 = 144; People who prefer coffee = 240 - 144 = 96.
Correct Answer: B — 80
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Q. A table shows the number of hours spent on different activities in a week: Work (40 hours), Sleep (56 hours), Leisure (20 hours), and Exercise (14 hours). How many hours are unaccounted for? (2023)
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Solution
Total hours in a week = 168; Total accounted = 40 + 56 + 20 + 14 = 130; Unaccounted = 168 - 130 = 38.
Correct Answer: D — 16
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Q. A table shows the sales of different products in a store. If Product X sold 150 units, Product Y sold 200 units, Product Z sold 100 units, and Product W sold 50 units, what is the total number of units sold? (2023)
A.
400
B.
500
C.
600
D.
700
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Solution
Total units sold = 150 + 200 + 100 + 50 = 500.
Correct Answer: A — 400
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Q. A, B, C, D, and E are sitting in a row. A is to the left of C but to the right of B. D is sitting at one end. Who is sitting next to E?
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Solution
The arrangement is B, A, C, E, D. D is next to E.
Correct Answer: D — D
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Q. A, B, C, D, and E are standing in a line. A is to the left of B, and C is to the right of D. If E is at the end of the line, who is in the middle?
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Solution
The order is D, A, B, C, E. B is in the middle.
Correct Answer: B — B
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Q. All birds can fly. Penguins are birds. Therefore, penguins can fly. (2023)
A.
True
B.
False
C.
Cannot be determined
D.
None of the above
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Solution
The conclusion does not hold true as penguins cannot fly.
Correct Answer: B — False
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Q. All cats are mammals. Some mammals are not dogs. Therefore, some cats are not dogs. (2023)
A.
True
B.
False
C.
Cannot be determined
D.
None of the above
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Solution
The conclusion logically follows from the premises.
Correct Answer: A — True
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Q. All cats are mammals. Some mammals are not dogs. Which of the following is true?
A.
All cats are dogs
B.
Some cats are not dogs
C.
All mammals are cats
D.
Some dogs are not cats
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Solution
Since all cats are mammals and some mammals are not dogs, it follows that some cats are not dogs.
Correct Answer: B — Some cats are not dogs
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Q. All computers are machines. Some machines are not computers. Therefore, some machines are not computers. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all machines are computers
D.
Only if some computers are machines
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Solution
The conclusion is valid. The premises support the existence of machines that are not computers.
Correct Answer: A — Yes
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Q. All dogs are animals. Some animals are not pets. Therefore, some dogs are not pets. (2023)
A.
True
B.
False
C.
Cannot be determined
D.
None of the above
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Solution
The conclusion does not necessarily follow from the premises.
Correct Answer: B — False
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Q. All dogs bark. Some animals that bark are not dogs. Therefore, some animals that bark are not dogs. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all barking animals are dogs
D.
Only if some dogs are animals
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Solution
The conclusion is valid. The premises support the existence of animals that bark but are not dogs.
Correct Answer: A — Yes
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Q. All fruits are sweet. Some sweet things are not fruits. Therefore, some things that are not fruits are sweet. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all sweet things are fruits
D.
Only if some fruits are sweet
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Solution
The conclusion is valid. The premises allow for the existence of sweet things that are not fruits.
Correct Answer: A — Yes
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Q. All humans are mortal. Socrates is a human. Therefore, Socrates is mortal. (2023)
A.
True
B.
False
C.
Cannot be determined
D.
None of the above
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Solution
The conclusion logically follows from the premises.
Correct Answer: A — True
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Q. All of the cake were eaten by the children. (2023)
A.
Correct
B.
Incorrect
C.
Depends on context
D.
None of the above
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Solution
The correct form is 'All of the cake was eaten by the children.' 'Cake' is uncountable in this context and takes a singular verb.
Correct Answer: B — Incorrect
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Q. All roses are flowers. Some flowers fade quickly. Therefore, some roses fade quickly. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all flowers are roses
D.
Only if some roses are flowers
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Solution
The conclusion does not logically follow. Just because all roses are flowers and some flowers fade quickly, it does not imply that some roses fade quickly.
Correct Answer: B — No
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Q. All teachers are educated. Some educated people are not teachers. Therefore, some teachers are not educated. (2023)
A.
True
B.
False
C.
Cannot be determined
D.
None of the above
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Solution
The conclusion does not logically follow from the premises.
Correct Answer: B — False
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Q. All teachers are educated. Some educated people are not teachers. Therefore, some people who are not teachers are educated. Is this conclusion valid? (2023)
A.
Yes
B.
No
C.
Only if all educated people are teachers
D.
Only if some teachers are educated
Show solution
Solution
The conclusion is valid. The premises allow for the existence of educated people who are not teachers.
Correct Answer: A — Yes
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