## Mathematical Operation For SBI PO Set – 13

1) In these questions, relationship between different elements is shown in the statements. These statements are followed by two conclusions.

Statement:A > B > C, D > E> F, D > C

Conclusions:

I. E > C

II. F > B

a) If only Conclusion I follows

b) If only Conclusion II follows

c) If either Conclusion I or II follows

d) If neither Conclusion I nor II follows

e) If both conclusions I and II follow.

d) If neither Conclusion I nor II follows

Explanation

A > B > C, D > E > F, D > C

(i) E > C (C < D < E) – Not follow

(ii) F > B (F < E < D > C < B) can’t say

Neither (i) or (ii) follow

2) In these questions, relationship between different elements is shown in the statements. These statements are followed by two conclusions.

Statement:A ≥ B = C, D > C = E

Conclusions:

I. E >A

II. A < D

a) If only Conclusion I follows

b) If only Conclusion II follows

c) If either Conclusion I or II follows

d) If neither Conclusion I nor II follows

e) If both conclusions I and II follow.

d) If neither Conclusion I nor II follows

Explanation

Statement:

A ≥ B = C; D > C = E

Conclusion:

(i) E > A (A ≥ B = C = E) – Not follow

(ii) A > D (A ≥ B = C < D) – Not follow

Neither (i) nor (ii) follow

3) Read each of the following Statements carefully and answer the questions.

Which of the following symbols should replace the question mark in the given expression in order to make the expressions ‘K ≤ H’ and ‘M > J’ definitely true?

H ≥ I = J ? K ≤ L < M

a) >

b) ≥

c) ≤

d) Either < or ≤

e) None

e) None

Explanation

To make Expression K ≤ H & M > J is true.

In the statement H ≥ I = J ? K ≤ L < M

‘=’ should replace.

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:H @ V, V © M, M × R

Conclusions:

I. R × H

II. H \$ R

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

\$ ≥

× >

@ ≤

# <

H ≤ V = M > R

Conclusion:

(i) R > H – Relationship can’t find

(ii) H  ≥ R – Relationship Can’t find

Either (i) or (ii) follow

5)  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:B \$ K, K @ D, D # M

Conclusions:

I. B \$ M

II. B @ M

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

d) If neither Conclusion I nor II is true

Explanation

# ≥

\$ =

@ <

* ≤

Statement:

B = K < D ≥ M

Conclusion

I. B = M – Not follow

II. B < M – Not follow

Either (i) or (ii) follow will not come because beyond this two B > M may also come. So neither follows

6) In the questions given below, certain symbols are used with the following meaning.

A @ B means A is greater than B.

A * B means A is either greater than or equal to B.

A # B means A is equal to B.

A \$ B means A is either smaller than or equal to B

A + B means A is smaller than BNow 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:

B + D; E \$ T; T * P; P @ B

Conclusions:

I. P \$ D

II. P @ 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.

c) if either conclusion I or II is true

Explanation

@ -> > ;

* -> ≥;

# -> =;\$ -> ≤

+ -> <

B + D; E\$T; T*P, P@B

E ≤ T ≥ P > B < D

(i) P ≤ D – Not true

(ii) P > D – Nor true

Either (i) or (ii) follow

7) In the questions given below, certain symbols are used with the following meaning.

A @ B means A is greater than B.

A * B means A is either greater than or equal to B.

A # B means A is equal to B.

A \$ B means A is either smaller than or equal to B

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?

Statements:

D + T; E \$ V; F * T; E @ D

Conclusions:

I. V * D

II. E @ T

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.

d) if neither conclusion I nor II is true.

Explanation

@ -> > ;

* -> ≥;

# -> =;\$ -> ≤

+ -> <

D+T; E\$V; F*T; E@D

V ≥ E > D < T ≤ F

(i) V ≥ D – Not follow

(ii) E > T – Not follow

8) In these questions, relationship between different elements is shown in the statements. These statements are followed by two conclusions.

Statement: P ≥ Q = R > S > T

Conclusions:

I. P ≥ T

II. T < Q

a) If only Conclusion I follows

b) If only Conclusion II follows

c) If either Conclusion I or II follows

d) If neither Conclusion I nor II follows

e) If both conclusions I and II follow.

b) If only Conclusion II follows

Explanation

Statement:P ≥ Q = R > S > T

Conclusion:

P ≥ T – Not follow

T < Q – follow

9) In these questions, relationship between different elements is shown in the statements. These statements are followed by two conclusions.

Statement:L ≤ M < N > O ≥ P

Conclusions:

I. O < M

II. P ≤ N

a) If only Conclusion I follows

b) If only Conclusion II follows

c) If either Conclusion I or II follows

d) If neither Conclusion I nor II follows

e) If both conclusions I and II follow.

d) If neither Conclusion I nor II follows

Explanation

Statement:

L ≤ M < N > O ≥ P

Conclusion:

(i) O < M – Can’t say

(ii) P ≤ N – Not follow

10) In these questions, relationship between different elements is shown in the statements. These statements are followed by two conclusions.

Statement:A > B, B ≥ C = D < E

Conclusions:

I. C <A

II. D ≤ B

a) If only Conclusion I follows

b) If only Conclusion II follows

c) If either Conclusion I or II follows

d) If neither Conclusion I nor II follows

e) If both conclusions I and II follow.

e) If both conclusions I and II follow

Explanation

Statement:

A > B ≥ C = D < E

Conclusion:

(i) C < A – follow

(ii) D ≤ B – follow

Both conclusion (i) & (ii) follow