## Statements and Conclusions Questions - 1

Directions (Q1 to Q5): In the questions given below certain symbols are used, with the following meaning.

P @ Q means P is neither equal to nor smaller than Q.

P # Q means P is not smaller than Q.

P $Q means P is neither greater than nor smaller than Q. P ? Q means P is neither greater than nor equal to Q. P © Q means P is not greater than Q. Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true. Statements: A @ B, C # D, B$ D

Conclusions:

I. A @ D     II.A # C

• Only conclusion I is true.
• Only conclusion II is true.
• Either conclusion I or II is true.
• Neither conclusion I nor II is true.
• Both Conclusions I and II are true.
Explanation

From statements:

i. A @ B => A > B

ii. C # D => C ≥ D

iii. B $D => B = D Results in => A > B, = D ≤ C => A > D From conclusions: I. A @ D => A > D .... True. II. A # C => A ≥ C .... can’t say Therefore only I is true. Workspace P @ Q means P is neither equal to nor smaller than Q. P # Q means P is not smaller than Q. P$ Q means P is neither greater than nor smaller than Q.

P ? Q means P is neither greater than nor equal to Q.

P © Q means P is not greater than Q.

Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true.

Statements:

W $X X © Y Y$ Z

Conclusions:

I. W $Z II. W © Z • Only conclusion I is true. • Only conclusion II is true. • Either conclusion I or II is true. • Neither conclusion I nor II is true. • Both Conclusions I and II are true. Explanation From statements: i. W$ X => W = X

ii. X © Y = > X ≤ Y

iii. Y $Z => Y = Z Results in => W = X ≤ Y, Y = Z => W ≤ Z From conclusions: I. W$ Z = > W = Z,   II. W © Z = W ≤ Z .... true, hence only II follows.

Workspace

P @ Q means P is neither equal to nor smaller than Q.

P # Q means P is not smaller than Q.

P $Q means P is neither greater than nor smaller than Q. P ? Q means P is neither greater than nor equal to Q. P © Q means P is not greater than Q. Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true. Statements: M # N M @ O O ? P Conclusions: I. N @ O II. M ? P • Only conclusion I is true. • Only conclusion II is true. • Either conclusion I or II is true. • Neither conclusion I nor II is true. • Both Conclusions I and II are true. Explanation From statements: i. M # N => M ≥ N ii. M @ O => M > O iii. O ? P => O < P From conclusions: I N > O => cannot say, M < P => Wrong Workspace P @ Q means P is neither equal to nor smaller than Q. P # Q means P is not smaller than Q. P$ Q means P is neither greater than nor smaller than Q.

P ? Q means P is neither greater than nor equal to Q.

P © Q means P is not greater than Q.

Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true.

Statements:

S @ P

P # R

P $O Conclusions: I. R ? S II. S @ O • Only conclusion I is true. • Only conclusion II is true. • Either conclusion I or II is true. • Neither conclusion I nor II is true. • Both Conclusions I and II are true. Explanation From statements: i. S @ P => S > P ii. P # R => P ≥ R iii. P$ O => P = O

Results in => S > O, S > R, S > O, R ≤ O

From conclusions:

I. R ? S => R < S -- True.   II. S @ O => S > O -- True

Both follows

Workspace

P @ Q means P is neither equal to nor smaller than Q.

P # Q means P is not smaller than Q.

P $Q means P is neither greater than nor smaller than Q. P ? Q means P is neither greater than nor equal to Q. P © Q means P is not greater than Q. Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true. Statements: M © N N # O M @ P Conclusions: I. O @ P II. M # O • Only conclusion I is true. • Only conclusion II is true. • Either conclusion I or II is true. • Neither conclusion I nor II is true. • Both Conclusions I and II are true. Explanation From statements: i. M © N = M ≤ N ii. N # O => N ≥ O M @ P => M > P Results in => N > P From conclusions: I. O @ P => O > P wrong. II. M # O = M ≥ O -- can’t say. Neither of the conclusions follows. Workspace Directions (Q6 to Q10): In the questions given below certain symbols are used, with the following meaning. A$ B means A is neither equal to nor smaller then B.

A © B means A is not smaller than B.

A * B means A is neither greater than nor smaller than B.

A # B means A is neither greater nor equal to B.

A @ B means A is not greater than B.

Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true.

Statements:

X # Y

Y * Z

Z @ A

Conclusions:

I. X @ A     II. X * A

• Only conclusion I is true.
• Only conclusion II is true.
• Either conclusion I or II is true.
• Neither conclusion I nor II is true.
• Both Conclusions I and II are true.
Explanation

From statements:

i. X # Y => X < Y

ii. Y * Z => Y = Z

iii. Z @ A => Z ≤ A

Results in => Z > X, X < A

From conclusions:

I. X @ A => X ≤ A.   II. X * A => X = A

Neither of the statements follows.

Workspace

A $B means A is neither equal to nor smaller then B. A © B means A is not smaller than B. A * B means A is neither greater than nor smaller than B. A # B means A is neither greater nor equal to B. A @ B means A is not greater than B. Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true. Statements: A © B B$ C

D # C

Conclusions:

I. A $D II. C # A • Only conclusion I is true. • Only conclusion II is true. • Either conclusion I or II is true. • Neither conclusion I nor II is true. • Both Conclusions I and II are true. Explanation From statements: i. A © B => A ≥ B ii. B$ C => B > C

iii. D # C = D < C

Results in => A > C, B > D, A > D

From conclusions:

A $D => A > D. II. C # A => C < A Both the conclusions follows. Workspace A$ B means A is neither equal to nor smaller then B.

A © B means A is not smaller than B.

A * B means A is neither greater than nor smaller than B.

A # B means A is neither greater nor equal to B.

A @ B means A is not greater than B.

Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true.

Statements:

K @ L

L * M

M # N

Conclusions:

I. K @ M     II. K # N

• Only conclusion I is true.
• Only conclusion II is true.
• Either conclusion I or II is true.
• Neither conclusion I nor II is true.
• Both Conclusions I and II are true.
Explanation

From statements:

i. K @ L => K ≤ L

ii. L * M => L = M

iii. M # N => M < N

Results in => K < N, L < N, K ≤ M

From conclusions:

I. K @ M => K ≤ M.   II. K # N => K < N

Only conclusion I follows.

Workspace

A $B means A is neither equal to nor smaller then B. A © B means A is not smaller than B. A * B means A is neither greater than nor smaller than B. A # B means A is neither greater nor equal to B. A @ B means A is not greater than B. Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true. Statements: S © P P * Q Q # R Conclusions: I. S # R II. S © R • Only conclusion I is true. • Only conclusion II is true. • Either conclusion I or II is true. • Neither conclusion I nor II is true. • Both Conclusions I and II are true. Explanation From statements: i. S © P => S ≥ P ii. P * Q => P = Q iii. Q # R => Q < R Results in => R > P, S > Q From conclusions: I. S # Q => S < Q. II. S © Q => S ≥ Q Only conclusion II is true, and follows. Workspace A$ B means A is neither equal to nor smaller then B.

A © B means A is not smaller than B.

A * B means A is neither greater than nor smaller than B.

A # B means A is neither greater nor equal to B.

A @ B means A is not greater than B.

Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true.

Statements:

G $H H * J H # K Conclusions: I. G # K II. G$ K

• Only conclusion I is true.
• Only conclusion II is true.
• Either conclusion I or II is true.
• Neither conclusion I nor II is true.
• Both Conclusions I and II are true.
Explanation

From statements:

i. G $H => G > H ii. H * J => H = J iii. H # K => K < K Results in => G > J, J < K From conclusions: I. G # K => G < K. II. G$ K => G > K

Relationship between G and K cannot be established.

Workspace

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