Q. If a Venn diagram has 'Cars' and 'Electric Vehicles', which of the following is true?
-
A.
All cars are electric
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B.
Some electric vehicles are not cars
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C.
Some cars are electric
-
D.
Both statements are false
Solution
Some cars are electric, which is represented in the overlapping area of the Venn diagram.
Correct Answer:
C
— Some cars are electric
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Q. If a Venn diagram has one circle for 'Fruits' and another for 'Citrus', which of the following is in the intersection?
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A.
Apple
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B.
Banana
-
C.
Orange
-
D.
Grapes
Solution
The intersection of 'Fruits' and 'Citrus' includes 'Orange', as it is both a fruit and a citrus.
Correct Answer:
C
— Orange
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Q. If a Venn diagram has two circles, one for 'Fruits' and another for 'Citrus', which area represents fruits that are not citrus?
-
A.
Only in the 'Fruits' circle
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B.
Only in the 'Citrus' circle
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C.
In the overlap
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D.
Outside both circles
Solution
The area that represents fruits that are not citrus is the part of the 'Fruits' circle that does not overlap with the 'Citrus' circle.
Correct Answer:
A
— Only in the 'Fruits' circle
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Q. If all A are B and all B are C, can we conclude that all A are C?
-
A.
Yes
-
B.
No
-
C.
Only if A is a subset of B
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D.
Only if C is a subset of B
Solution
Yes, this is a valid syllogism known as transitive reasoning.
Correct Answer:
A
— Yes
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Q. If all birds can fly and some birds are penguins, can we conclude that penguins can fly?
-
A.
Yes, definitely.
-
B.
No, not necessarily.
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C.
Only if all birds are penguins.
-
D.
Only if some penguins are not birds.
Solution
The conclusion cannot be drawn because penguins are a type of bird that cannot fly.
Correct Answer:
B
— No, not necessarily.
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Q. If all cats are mammals and some mammals are not pets, can we conclude that some cats are not pets?
-
A.
Yes, definitely.
-
B.
No, not necessarily.
-
C.
Only if all mammals are cats.
-
D.
Only if some cats are not mammals.
Solution
The conclusion cannot be drawn because while some mammals are not pets, it does not specify that those mammals are cats.
Correct Answer:
B
— No, not necessarily.
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Q. If all students study hard, and John is a student, can we conclude that John studies hard?
-
A.
Yes
-
B.
No
-
C.
Only if John wants to pass
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D.
Cannot be determined
Solution
The conclusion is valid because if all students study hard and John is a student, then John must study hard.
Correct Answer:
A
— Yes
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Q. If all teachers are educated and some educated people are not rich, can we conclude that some teachers are not rich?
-
A.
Yes
-
B.
No
-
C.
Only if all educated people are teachers
-
D.
Cannot be determined
Solution
The conclusion is not valid because while some educated people are not rich, it does not imply that any teachers are among them.
Correct Answer:
B
— No
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Q. If D is the brother of E and F is the sister of E, what is the relationship between D and F?
-
A.
Cousins
-
B.
Siblings
-
C.
Uncle and Niece
-
D.
None of the above
Solution
D and F are siblings.
Correct Answer:
B
— Siblings
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Q. If D is the daughter of E and E is the sister of F, how is F related to D?
-
A.
Uncle
-
B.
Aunt
-
C.
Cousin
-
D.
Father
Solution
F is the brother of E, making F the uncle of D.
Correct Answer:
A
— Uncle
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Q. If D is the son of E and E is the daughter of F, how is F related to D?
-
A.
Grandfather
-
B.
Father
-
C.
Uncle
-
D.
Brother
Solution
F is the parent of E, making F the grandfather of D.
Correct Answer:
A
— Grandfather
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Q. If G is sitting between H and I, and J is sitting to the left of H, who is sitting to the right of G?
-
A.
H
-
B.
I
-
C.
J
-
D.
None of the above
Solution
Since G is between H and I, and J is to the left of H, I must be sitting to the right of G.
Correct Answer:
B
— I
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Q. If G is the brother of H and H is the father of I, what is G's relationship to I?
-
A.
Uncle
-
B.
Brother
-
C.
Cousin
-
D.
Nephew
Solution
G is the brother of H, making G the uncle of I.
Correct Answer:
A
— Uncle
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Q. If G is the mother of H and I is the father of H, what is the relationship between G and I?
-
A.
Siblings
-
B.
Parents
-
C.
Grandparents
-
D.
Cousins
Solution
G and I are parents of H.
Correct Answer:
B
— Parents
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Q. If G is the sister of H and H is the father of I, what is G's relationship to I?
-
A.
Aunt
-
B.
Mother
-
C.
Sister
-
D.
Cousin
Solution
G is the sister of H, who is the father of I, making G the aunt of I.
Correct Answer:
A
— Aunt
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Q. If G is the son of H and H is the wife of I, how is I related to G?
-
A.
Father
-
B.
Uncle
-
C.
Brother
-
D.
Grandfather
Solution
I is the husband of H, making I the father of G.
Correct Answer:
A
— Father
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Q. If H is sitting directly across from I and J is sitting next to H, who is sitting next to I?
-
A.
H
-
B.
J
-
C.
None of the above
-
D.
Both H and J
Solution
Since H is across from I and J is next to H, there is no information about who is next to I.
Correct Answer:
C
— None of the above
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Q. If H is sitting directly opposite I and J is sitting next to H, who is sitting next to I?
-
A.
H
-
B.
J
-
C.
None
-
D.
Both H and J
Solution
None is correct because J is next to H, not I.
Correct Answer:
C
— None
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Q. If it rains, the ground gets wet. The ground is wet. Can we conclude that it rained?
-
A.
Yes
-
B.
No
-
C.
Only if it was a heavy rain
-
D.
Cannot be determined
Solution
The conclusion is not valid because the ground could be wet for other reasons, not just rain.
Correct Answer:
B
— No
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Q. If it rains, the ground gets wet. The ground is wet. Therefore, it rained. Is this conclusion valid?
-
A.
Yes
-
B.
No
-
C.
Only if it has not been watered
-
D.
Only if it is cloudy
Solution
The conclusion is not valid because the ground could be wet for other reasons, such as watering or other forms of precipitation.
Correct Answer:
B
— No
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Q. If J is the brother of K and K is the mother of L, what is the relationship between J and L?
-
A.
Uncle
-
B.
Cousin
-
C.
Brother
-
D.
Nephew
Solution
J is the brother of K, making J the uncle of L.
Correct Answer:
A
— Uncle
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Q. If J is the father of K and K is the son of L, how is L related to J?
-
A.
Wife
-
B.
Sister
-
C.
Mother
-
D.
Daughter
Solution
L is the mother of K, making L the wife of J.
Correct Answer:
A
— Wife
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Q. If J is the sister of K and L is the brother of K, what is the relationship between J and L?
-
A.
Cousins
-
B.
Siblings
-
C.
Aunt and Nephew
-
D.
None of the above
Solution
J and L are siblings.
Correct Answer:
B
— Siblings
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Q. If J is the son of K and L is the daughter of K, how is J related to L?
-
A.
Brother
-
B.
Sister
-
C.
Cousin
-
D.
Uncle
Solution
J and L are both children of K, making them siblings.
Correct Answer:
A
— Brother
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Q. If John is the son of Mary and Mary is the daughter of Sarah, how is Sarah related to John?
-
A.
Grandmother
-
B.
Mother
-
C.
Aunt
-
D.
Sister
Solution
Sarah is the mother of Mary, making her the grandmother of John.
Correct Answer:
A
— Grandmother
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Q. If K is sitting directly across from L and M is sitting to the right of K, who is sitting to the left of L?
-
A.
K
-
B.
M
-
C.
N
-
D.
None of the above
Solution
If K is across from L and M is to the right of K, then N must be sitting to the left of L.
Correct Answer:
C
— N
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Q. If K is sitting to the right of L and M is sitting to the left of K, who is sitting in the middle?
-
A.
K
-
B.
L
-
C.
M
-
D.
None of the above
Solution
K is in the middle because L is to the left and M is to the right.
Correct Answer:
A
— K
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Q. If K is to the right of L and M is to the left of K, who is sitting in the middle?
-
A.
K
-
B.
L
-
C.
M
-
D.
None of the above
Solution
L is to the left of K, and M is to the left of K, making L the one in the middle.
Correct Answer:
B
— L
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Q. If M is the brother of N and N is the mother of O, what is M's relationship to O?
-
A.
Uncle
-
B.
Father
-
C.
Cousin
-
D.
Brother
Solution
M is the brother of N, who is the mother of O, making M the uncle of O.
Correct Answer:
A
— Uncle
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Q. If M is the father of N and N is the daughter of O, how is O related to M?
-
A.
Wife
-
B.
Sister
-
C.
Mother
-
D.
Aunt
Solution
O is the mother of N, and since M is the father of N, O is M's wife.
Correct Answer:
A
— Wife
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