## Mathematical Operation For SBI PO Set – 15

1) In the following questions, the symbols #, \$, @, * and © are used with the following meaning as illustrated below:

‘P # Q’ means ‘P is not smaller than Q

‘P \$ Q’ means ‘P is neither smaller than nor greater than Q’

‘P @ Q’ means ‘P is neither greater than nor equal to Q’

‘P * Q’ means ‘P is not greater than Q’

‘P © Q’ means ‘P is neither smaller than nor equal to 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 © R, R @ K, K \$ T

Conclusions:

a) If only Conclusion I is true

b) If only Conclusion II is true

c) If either Conclusion I or II is true

d) If neither Conclusion I nor II is true

e) If both Conclusion I and II are true

a) If only Conclusion I is true

Explanation

# ≥

\$ =

@ <

* ≤

Statement:

M > R < K = T

Conclusion:

(i) T > R – Follow

(ii) T > M – Not follow

Only (i) follow

2) In the following questions, the symbols \$, ©, ×, @ and # are used with the following meanings:

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 not greater than Q.

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

P # Q means P is neither greater than nor equal to 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:Z \$ K, K × T, T © F

Conclusions:

I. F # Z

II. Z × T

a) If only conclusion I is true

b) If only conclusion II is true

c) If either I or II is true

d) If neither I nor II is true

e) If both I and II are true

e) If both I and II are true

Explanation

\$ ≥

× >

@ ≤

# <

Statement:

Z ≥ K > T = F

Conclusion:

(i) F < N – Follow

(ii) Z > T – Follow

Both (i) & (ii) follow

3) In the following questions, the symbols \$, ©, ×, @ and # are used with the following meanings:

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 not greater than Q.

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

P # Q means P is neither greater than nor equal to 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:K × B, B @ D, D # K

Conclusions:

I. B @ K

II. B # K

a) If only conclusion I is true

b) If only conclusion II is true

c) If either I or II is true

d) If neither I nor II is true

e) If both I and II are true

b) If only conclusion II is true

Explanation

\$ ≥

× >

@ ≤

# <

Statement:

K > B ≤ D < K

Conclusion:

(i) B ≤ K – Not follow

(ii) B < K – Follow

Only conclusion (ii) follow

4) In the following questions, the symbols \$, ©, ×, @ and # are used with the following meanings:

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 not greater than Q.

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

P # Q means P is neither greater than nor equal to 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:N © R, R @ M, M \$ J

Conclusions:

II. N # M

a) If only conclusion I is true

b) If only conclusion II is true

c) If either I or II is true

d) If neither I nor II is true

e) If both I and II are true

c) If either I or II is true

Explanation

\$ ≥

× >

@ ≤

# <

Statement:

N = R ≤ M ≥ J

Conclusion:

N = M – May be

N < M – May be

Either (i) & (ii) follow

5) In the following questions, the symbols \$, ©, ×, @ and # are used with the following meanings:

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 not greater than Q.

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

P # Q means P is neither greater than nor equal to 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 \$ T, T @ R, R # M

Conclusions:

I. M × T

a) If only conclusion I is true

b) If only conclusion II is true

c) If either I or II is true

d) If neither I nor II is true

e) If both I and II are true

a) If only conclusion I is true

Explanation

\$ ≥

× >

@ ≤

# <

Statement:

S ≥ T ≤ R < M

Conclusion:

(i) M > T – Follow

(ii) M = T – Not follow

Only conclusion (i) follow

6) In these questions, the relationship between different elements is shown in the statements. The statements are followed by two conclusions.Statement:T < P ≤ U; L > U ≤ K; P ≥ R

Conclusions:I. K ≥ R

L > R

a) If only Conclusion I is true

b) If only Conclusion II is truec) If either Conclusion I or II is true

d) If neither Conclusion I nor II is true

e) If both conclusions I and II are true

e) If both conclusions I and II are true

Explanation

Statement

T < P ≤ U ≤ K (or)

R ≤ P ≤ U ≤ K (or)

R ≤ P ≤ U < L

Conclusion:

(i) K ≥ R – Follow

(ii) L > R – Follow

Both (i) & (ii) follow

7) In these questions, the relationship between different elements is shown in the statements. The statements are followed by two conclusions.Statement:H = I ≤ R; M ≥ R < S

Conclusions:I. M = I

M > I

a) If only Conclusion I is true

b) If only Conclusion II is true

c) If either Conclusion I or II is true

d) If neither Conclusion I nor II is true

e) If both conclusions I and II are true

c) If either Conclusion I or II is true

Explanation

Statement:

H = I ≤ R ≤ M (or) H = I ≤ R ≤ S

Conclusion:

(i) M = I – Can’t be determined

(ii) M > I – Can’t be determined

Either (i) or (ii) follow

8) In these questions, the relationship between different elements is shown in the statements. The statements are followed by two conclusions.Statement:D > H ≥ N; S > I ≤ H

Conclusions:

I.  N ≤ S

II. I < D

a) If only Conclusion I is true

b) If only Conclusion II is true

c) If either Conclusion I or II is true

d) If neither Conclusion I nor II is true

e) If both conclusions I and II are true

b) If only Conclusion II is true

Explanation

Statement

D > H ≥ N; S > I ≤ H

(i) N ≤ S (Can’t find the relation)

(ii) I < D (I ≤ H < D) – Follow only conclusion (ii) follow

9) In the following questions, the symbols #, \$, @, * and © are used with the following meaning as illustrated below:

‘P # Q’ means ‘P is not smaller than Q

‘P \$ Q’ means ‘P is neither smaller than nor greater than Q’

‘P @ Q’ means ‘P is neither greater than nor equal to Q’

‘P * Q’ means ‘P is not greater than Q’

‘P © Q’ means ‘P is neither smaller than nor equal to 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:J * D, Q # D, Q @ M

Conclusions:

II. Q \$ J

a) If only Conclusion I is true

b) If only Conclusion II is true

c) If either Conclusion I or II is true

d) If neither Conclusion I nor II is true

e) If both Conclusion I and II are true

c) If either Conclusion I or II is true

Explanation

# ≥

\$ =

@ <

* ≤

Statement:

J ≤ P ≤ Q < M

Conclusion:

(i) Q > J

(ii) Q = J

Either (i) or (ii) follow

10) In these questions, the relationship between different elements is shown in the statements. The statements are followed by two conclusions.Statement:P ≤ O < I; P > Y > W

Conclusions:I. Y ≤ I

O > W

a) If only Conclusion I is true

b) If only Conclusion II is true

c) If either Conclusion I or II is true

d) If neither Conclusion I nor II is true

e) If both conclusions I and II are true

b) If only Conclusion II is true

Explanation

P ≤ O < I; P > Y > W

Conclusion:

(i) Y ≤ I [Y < P ≤ O < I) – Not follow

(ii) O > W (O ≥ P > Y > W) – Follow

Only (ii) follow