## Mathematical Operation For SBI PO Set – 10

1)  In the following questions, the symbols @, ©, %, \$ and * are used with the following meanings illustrated.

‘P © Q’ means ‘P is not greater than Q’.

‘P * Q’ means ‘P is not smaller than Q’.

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

‘P \$ Q’ means ‘P is neither smaller than nor equal to Q’.

‘P @ Q’ means ‘P is neither greater than nor smaller than Q’.

Statements:

B % H, H \$ J, J * M

Conclusions:

I. B % J

II. M % B

III. H \$ M

a) None is true

b) Only I is true

c) Only II is true

d) Only III is true

e) Only II and III are true

d) Only III is true

Explanation

(e) B<H>J≥M

I. B<J is not true

II. M<B is not true

III. H>M is true

2)  In the following questions, the symbols @, ©, %, \$ and * are used with the following meanings illustrated.

‘P © Q’ means ‘P is not greater than Q’.

‘P * Q’ means ‘P is not smaller than Q’.

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

‘P \$ Q’ means ‘P is neither smaller than nor equal to Q’.

‘P @ Q’ means ‘P is neither greater than nor smaller than Q’.

Statements:

Z © K, K % E, E @ R

Conclusions:

R \$ K

Z % E

III. R \$ Z

a) Only I is true

b) Only I and II are true

c) Only I and III are true

d) Only II and III are true

e) All I, II and III are true

e) All I, II and III are true

Explanation

(e) Z≤K<E=R

R>K is true

Z<E is true

R>Z is true

3) In the following questions, the symbols @, ©, %, \$ and * are used with the following meanings illustrated.

‘P © Q’ means ‘P is not greater than Q’.

‘P * Q’ means ‘P is not smaller than Q’.

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

‘P \$ Q’ means ‘P is neither smaller than nor equal to Q’.

‘P @ Q’ means ‘P is neither greater than nor smaller than Q’.

Statements:

W @ M, M © R, R \$ F

Conclusions:

I. F % M

II. R * W

III. W % F

a) None is true

b) Only I is true

c) Only II is true

d) Only III is true

e) Only I and II are true

c) Only II is true

Explanation

(c) W=M≤R>F

I. F<M is not true

II. R≥W is true

III. W<F is not true

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

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

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

‘P % Q’ means ‘P is neither smaller than nor equal to Q’.

‘P * Q’ means ‘P is not smaller than Q’.

‘P # Q’ means ‘P is not greater than Q’.

Statements:

D * K, K % T, T δ R, R # M

Conclusions:

I. M % T

II. D % T

III. R % K

IV. M # D

a) Only I is true

b) Only II is true

c) Only I and II are true

d) Only II and III are true

e) None of these

c) Only I and II are true Explanation

(c) D ≥K>T<R≤M

I. M>T

II. D>T

III. R>K

IV. M≤D

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

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

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

‘P % Q’ means ‘P is neither smaller than nor equal to Q’.

‘P * Q’ means ‘P is not smaller than Q’.

‘P # Q’ means ‘P is not greater than Q’.

Statements:

F δ W, W \$ V, V % B, B * D

Conclusions:

I. F δ B

II. D δ V

III. V % F

IV. W % D

a) Only I is true

b) Only I, II and III are true

c) Only I, II and IV are true

d) Only II, III and IV are true

e) None of these

d) Only II, III and IV are true

Explanation

(d) F<W=V>B≥D

I. F><B is not true

II. D<V is true

III. V>F is true

IV. W>D is true

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

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

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

‘P % Q’ means ‘P is neither smaller than nor equal to Q’.

‘P * Q’ means ‘P is not smaller than Q’.

‘P # Q’ means ‘P is not greater than Q’.

Statements:

Z % N, N # K, K \$ M, M δ R

Conclusions:

I. M \$ N

II. M % N

III. R % N

IV. Z % M

a) Only either I or II is true

b) Only either I or II and III are true

c) Only either I or II and III and IV are true

d) Only III is true

e) None of these

b) Only either I or II and III are true

Explanation

(b) Z>N≤K=M<R

I. M>N is true

II. M=N is true

(Either a or b is true)

III. R>N is true

IV. Z>M is not true

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

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

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

‘P % Q’ means ‘P is neither smaller than nor equal to Q’.

‘P * Q’ means ‘P is not smaller than Q’.

‘P # Q’ means ‘P is not greater than Q’.

Statements:

F # K, K \$ T, D % T, V * D

Conclusions:

I. T * F

II. D % K

III. D % F

IV. V % K

a) Only I and II are true

b) Only I, II and III are true

c) Only II and III are true

d) Only II, III and IV are true

e) All are true

e) All are true

Explanation

I. T≥F is true

II. D>K is true

III. D>F is true

IV. V>K is true

8) In the following questions, ∆ means ‘is greater than’, % means ‘is lesser than’, □ means ‘is equal to’, = means ‘is not equal to’, + means ‘is a little more than’, × means ‘is a little less than’.

Choose the correct alternative in each of the following questions.

If ac + bc, then

a) a □ c

b) b ∆ c

c) c ∆ b

d) b % a

e) None of these

d) b % a

Explanation

a>b = b%a

9) In the following questions, ∆ means ‘is greater than’, % means ‘is lesser than’, □ means ‘is equal to’, = means ‘is not equal to’, + means ‘is a little more than’, × means ‘is a little less than’.

Choose the correct alternative in each of the following questions.

If ac % bd and ab ∆ cd, then

a) b □ c

b) b ∆ a

c) a % c

d) Can’t say

e) None of these

d) Can’t say

Explanation

(d) Can’t stay

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

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

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

‘P % Q’ means ‘P is neither smaller than nor equal to Q’.

‘P * Q’ means ‘P is not smaller than Q’.

‘P # Q’ means ‘P is not greater than Q’.

Statements:

H \$ J, J δ Y, Y * K, K # W

Conclusions:

I. W % Y

II. K δ J

III. K # H

IV. H δ W

a) None is true

b) Only I is true

c) Only II is true

d) Only III is true

e) Only II is true