## Mathematical Operation For SBI PO Set – 6

1) 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

2) 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. 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) 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.

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 > S – Ralationship 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’

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

B = M – Not follow

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. For the following questions

&  Means ‘greater than’

∆  means ‘is smaller than’

O means ‘is equal to’

×   Means ‘Plus’

=  means ‘minus’

If a & c and b× d O c, then

a) d &a

b) a O d

c) b  &  c

d) d ∆ a

e) c & a

f) d & a

d) d ∆ a

Explanation

& – >;; 0 – =; × – +

a & c and b × d o c

a > c b + d =c

By check with given option

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

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

8. 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

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

9) 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

10. 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