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**Symbols and Operations**

Below are four problems dealing with the relationship between different elements.

Directions to solve:

If,

i) A @ B means A is greater than B;

ii) A * B means A is either greater than or equal to B;

iii) A # B means A is equal to B;

iv) A $ B means A is either smaller than or equal to B;

v) A + B means A is smaller 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?

Give answer (a) if only conclusion I is true

Give answer (b) if only conclusion II is true

Give answer (c) if either conclusion I or II is true

Give answer (d) if neither conclusion I nor II is true.

Give answer (e) if both conclusions I and II are true.

**Question 1**

**Statements :**

P * Q; Q $ R; S + T: R + S

**Conclusions :**

I. Q + S

II. Q + T

Options: a, b, c, d, e

**Answer : **option e.

Solution :

Given Statements: P * Q; Q $ R; S + T; R + S

Converting the statements as follows:

P * Q => P is greater than or equal to Q; i.e., P > = Q

Q $ R => Q is less than or equal to R; i.e., Q < = R

S + T => S is less than T; i.e., S < T

R + S => R is less than S; i.e., R < S

After conversion, combining the above, we have,

P > = Q < = R < S < T

From above inequality, we have, Q < = R < S < T

=> Q < S and Q < T

Given conclusions,

Q + S => Q < S which is true

Q + T => Q < T which is also true.

Hence, both conclusions I and II are true.

**Question 2**

**Statements :**

P + Q; R $ S; T * Q; R @ P

**Conclusions :**

I. P $ S

II. P + T

Options: a, b, c, d, e

**Answer : **option d.

Solution :

Given Statements: P + Q; R $ S; T * Q; R @ P;

Converting the statements as follows:

P + Q => P < Q

R $ S => R is less than or equal to S; i.e., R < = S

T * Q => T is greater than or equal to Q; i.e., T > = Q

R @ P => R > P

Combining the above four, we get, S > = R > P < Q < = T

From the above inequality, we have

S > P and P < T ….(1)

Given conclusions,

S $ P => S < = P which is not true since S > P

P + T => P < T which is true.

Hence, conclusion II is true.

**Question 3**

**Statements :**

P + Q; R $ S; S * T; T @ P

**Conclusions :**

I. S $ P

II. R $ T

Options: a, b, c, d, e

**Answer : **option d.

Solution:

Given Statements P + Q; R @ S; S * T; T @ P

Converting the statements as follows:

P + Q => P < Q

R @ S => R is greater than S; i.e., R > S

S * T => S is greater than or equal to T; i.e., S > = T

T @ P => T > P

Combining above four statements, we get R > S > = T > P < Q

From above inequality, we have

S > = T > P; i.e.,S > P

R > S > = T => R > T

Given conclusions:

S $ P means S < = P which is not true since S > P.

R $ T means R < = T which is not true since R > T.

Hence, neither conclusion I nor II is true.

**Question 4**

**Statements :**

P * Q; R $ S; S # P; R @ T

**Conclusions :**

I. T @ S

II. S * Q

Options: a, b, c, d, e

**Answer : **option b.

Solution :

Given statements: P * Q; R $ S; S # P; R @ T

Converting the statements as follows:

P * Q => P is greater than or equal to Q; i.e., P > = Q

R $ S => R is less than or equal to S; i.e., R < = S

S # P => S is equal to P; i.e., S = P

R @ T => R is greater than T; i.e., R > T

After conversion, combining the above, we have,

T < R < = S = P > = Q

From the above inequality, we have,

T < S and S > = Q.

Given conclusions,

T @ S => T > S which is not true since T < S

S * Q => S > = Q which is true.

Hence, only conclusion II is true.

Sir / Ma’am,

I need to know, where can i study for general awareness section of Snap 2016. As there is 6 days remaining for the exam, what sources can I use to study for General Awareness, please guide me on this.