Logical Reasoning with a Story

Q.1 If school A has a greater number of admissions than that of school B. School C has fewer admissions than B. School D has greater admissions than School B.
If the first two statements are true then the third statement is _______
A) True
B) False
C) Uncertain
D) Unresolved
The answer is C)
Explanation: There is no comparison of school D in the first two statements, so school D can have more or lesser number of admissions than B
Now let's have the same question for the third different statement:
Q.2 If school A has a greater number of admissions than that of school B. School C has a lesser number of admissions than B. School B has greater admissions than School A.
If the first two statements are true than the third statement is _______
A) True
B) False
C) Uncertain
D) Unresolved
The answer is B)
A > B
B > C
B > A
According to the fist two statements B cannot have the greater number of admissions,
so the answer is B) False
Q.3 If school A has a greater number of admissions than that of school B. School C has a lesser number of admissions than B. School C has fewer admissions than School A.
If the first two statements are true then the third statement is _____
A) True
B) False
C) Uncertain
D) Unresolved
The answer is A)
Explanation:
According to the first two statements A > B and B > C. So School A has a greater number of admissions than School C. You can fit the relation in the statement in the above-given statements.
Q.4 Statements
All bats are balls.
All balls are basketballs
All baseballs are baskets
Conclusions:
I- Some of balls are basket is a possiblity.
II- All baskets are baseball
A) Only I follows
B) Only II follows
C) Neither I nor II follow
D) Either I or II follows
Explanation:
Some balls are basketballs (from statement 2)
Some baseballs are baskets (from statement 3)
Therefore, some balls (which are basketballs) could also be baseballs, making a statement I
"Some balls are baskets" is a possibility.
However, there is no logical connection to conclude that "All baskets are baseballs" (statement II), as the statements only establish a relationship between bats and balls, and baseballs and baskets, but not between baskets and baseballs.
So, the answer is A) Only I follows
Logical Reasoning with simple calculations
How to find a Digit in a series of numbers
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