## Mathematical Operation For SBI PO Set – 16

1) Which of the following expressions will be true if the given expression ‘A > B ≥ C < D < E’ is definitely true?

a) A ≥ C

b) E > C

c) D ≥ B

d) A > D

e) None of these

b) E > C

Explanation

In the expression A > B ≥ C < D < E

E > C conclusion only follow

Option (a) definitely false

Option (c) & (d) can’t find relationship

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

Statement:N = P, P < F, F > L, L = K

Conclusions:

I. F = K

II. F > K

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:

N = P < F > L = K

Conclusion:

(i) F = K – Not follow

(ii) F > K – Follow

Only conclusion (ii) follow

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

Statement:Z > T, T < M, M < J

Conclusions:

I. T < J

II. J < Z

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.

a) If only Conclusion I follows

Explanation

Statement:

Z > T < M < J

Conclusion:

(i) T > J – Follow

(ii) J < Z – Not follow

Only conclusion (i) follow

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

Statement:Q = Z, C ≥ G, G ≥ Q, Q ≥ R

Conclusions:

I. G ≥ Z

II. C ≥ R

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:

R ≤ Q = Z; C ≥ G ≥ Q

Conclusion:

(i) C ≥ Z (C ≥ G ≥ Q ≥ R = Z) – follow

(ii) C ≥ R (C ≥ G ≥ Q ≥ R) – Follow

Both conclusion (i) & (ii) follow

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

Statement:K < L, K > M, M ≥ N, N > O

Conclusions:

I. O < M

II. O < K

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:

Conclusion:

O < M – Follow

O ≤ K – Follow

both (i) & (ii) follow

6) 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:F # G, N \$ G, N © T

Conclusions:

I. T @ F

II. N * F

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

e) If both Conclusion I and II are true

Explanation

# ≥

\$ =

@ <

* ≤

Statement:

F ≥ G = N > T

Conclusion:

T < F – Follow

N ≤ F – Follow

both (i) & (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. D \$ V

II. D + F

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

@  > ;

*  ≥;

#  =;

\$  ≤

+  <

D < T; E ≤ V; F ≥ T; E > D

V ≥ E > D < T ≤ F

From above conclusion we can come to the conclusion as D ≤ V – Not follow

8) If P denotes +, Q denotes – , R denotes × and S denotes ÷, then which of the following statements is correct?

a) 16 R 12 P 49 S 7 Q 9 = 200

b) 32 S 8 R 9 = 160 Q 12 R 12

c) 8 R 8 P 8 S 8 Q 8 = 57

d) 36 R 4 S 8 Q 7 P 4 = 10

e) None of these

c) 8 R 8 P 8 S 8 Q 8 = 57

Explanation

P  +          R  ×

Q –          S  ÷

8 × 8 + 8 ÷ 8 – 8

= 64 + 1 – 8

= 64 – 7

= 57 Select the correct alternative in each of the following questions

9) Which one of the four interchanges in signs and numbers would make the given equation correct?

3 + 5 – 2 = 4

a) + as −, 2 as 3

b) + as −, 2 as 5

c) + as −, 3 as 5

d) All of these

e) None of these

c) + as −, 3 as 5

Explanation

3 + 5 – 2 = 4Change “+” as – and “3” as “5”

5 – 3 + 2 = 4

2 + 2 = 4

10) In the following questions, the symbols @, #, \$, %, * are used with the following meanings as illustrated below:

‘A @ B’ means ‘A is not greater than B’;

‘A # B’ means ‘A is greater than or equal to B’;

‘A \$ B’ means ‘A is neither greater than nor less than B’;

‘A % B’ means ‘A is less than B’;

‘A * B’ means ‘A is neither less than nor equal to B’.

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

Statements:T # R, R % L, L * K

Conclusions:

I. T % L

II. K * R

III. T # K

a) Only I is true

b) Only I and II are true

c) All are true

d) Only II and III are true

e) None of these

e) None of these

Explanation

@       ≤

#       ≥

\$         =

%       <

*         >

Statement:

T ≥ R, R < L, L > K

T ≥ R < L > K

Conclusion:

I.T < L

II.K > R

III. T ≥ KNone follows