Syllogism and inequality practice set 1

Question 1

Statements: No doors is pens. All boxes are doors.
Conclusions: I. No boxes is pens. II. Some doors are boxes.

Accepted Answer

Both I and II follow

Question 2

Statement: R ≥ M < Q = K = P
Conclusions: I. M = Q  II. K > P

Accepted Answer

Neither I nor II is true

Question 3

Statements: All phones are bags. All bags are trees.
Conclusions: I. All phones are trees. II. Some trees are phones.

Accepted Answer

Both I and II follow

Question 4

Statement: K ≥ M ≤ S < N ≥ P
Conclusions: I. N = P  II. M > P

Accepted Answer

Neither I nor II is true

Question 5

Statements: Some cups are boxes. No boxes is tables.
Conclusions: I. Some cups are not tables. II. No cups is tables.

Accepted Answer

Only I follows

Question 6

Statement: N > M ≤ K < Q < P Conclusions: I. N ≤ Q II. Q > P

Accepted Answer

Neither I nor II is true

Question 7

Statements: No boxes is birds. All chairs are boxes.
Conclusions: I. No chairs is birds. II. Some boxes are chairs.

Accepted Answer

Both I and II follow

Question 8

Statement: S < K > T > R ≥ M Conclusions: I. T ≥ R II. T < M

Accepted Answer

Only I is true

Question 9

Statements: Some cars are phones. All phones are bags.
Conclusions: I. Some cars are bags. II. Some bags are phones.

Accepted Answer

Both I and II follow

Question 10

Statement: R = S > N = K > T
Conclusions: I. N ≥ T  II. S < K

Accepted Answer

Only I is true

Question 11

Statements: All books are cars. All cars are birds.
Conclusions: I. All books are birds. II. Some birds are books.

Accepted Answer

Both I and II follow

Question 12

Statement: N ≤ M < P ≤ S < T
Conclusions: I. S ≥ T  II. P < T

Accepted Answer

Only II is true

Question 13

Statements: Some boxes are cups. All cups are bags.
Conclusions: I. Some boxes are bags. II. Some bags are cups.

Accepted Answer

Both I and II follow

Question 14

Statement: R ≥ P < K < N > Q Conclusions: I. P ≤ K II. R > P

Accepted Answer

Only I is true

Question 15

Statements: All bags are cups. Some bags are tables.
Conclusions: I. Some cups are tables. II. All tables are bags.

Accepted Answer

Only I follows

Question 16

Statement: R > T = K > N ≤ S
Conclusions: I. N < S  II. K ≤ S

Accepted Answer

Neither I nor II is true

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