Mathematical Operation For SBI PO Set – 5

1) 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 equal to Q’

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

‘P % Q’ means ‘P is neither smaller than nor greater than Q’

‘P \$ Q’ means ‘ P is not smaller than Q’

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

Statements:

M © R, R % D, D@N

Conclusions:

II.N\$R

a) If only  I and II true

b) If only II and III true

c) If only I and III  true

d) All are true

e)  None of these

b) If only II and III true

 # < © > % = \$ ≥ @ ≤

M>R=D≤N

I. M>N – not follows

II. N≥R – follows

III. M>D – follows

only II and III are true

2) 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 equal to Q’

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

‘P % Q’ means ‘P is neither smaller than nor greater than Q’

‘P \$ Q’ means ‘ P is not smaller than Q’

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

Statements:

Conclusions:

I. Z#R

II. F#D

a)  None is true

b) Only I is true

c) Only III is true

d) Only either I or III is true

e) All are true.

a)  None is true

 # < © > % = \$ ≥ @ ≤

D>R≤F>Z

I. Z<R – not follows

II. F<D – not follows

III. D>Z – not follows

None is true

3)  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 equal to Q’

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

‘P % Q’ means ‘P is neither smaller than nor greater than Q’

‘P \$ Q’ means ‘ P is not smaller than Q’

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

Statements:

K#T, T\$B, B@F

Conclusions:

I. F\$T

II. K#B

III. T\$F

a) None is true

b) Only I is true

c) Only I and II are true

d) Only II and III are true

e) All are true

a) None is true

 # < © > % = \$ ≥ @ ≤

K<T≥B≤F

I. F≥T – not  follows

II. K>B – not follows

III. T≥F – not follows

None is 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 equal to Q’

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

‘P % Q’ means ‘P is neither smaller than nor greater than Q’

‘P \$ Q’ means ‘ P is not smaller than Q’

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

Statements:

Conclusions:

II. M@H

a) Only I and III are true

b) Only II and III are true

c) Only I and II are true

d) All are true

e) None of these

c) Only I and II are true

 # < © > % = \$ ≥ @ ≤

H≥V=M<K

I. K>V – follows

II. M≤H – follows

III. H>K – not follows

only I & II are true

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 equal to Q’

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

‘P % Q’ means ‘P is neither smaller than nor greater than Q’

‘P \$ Q’ means ‘ P is not smaller than Q’

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

Statements:

Conclusions:

I.W # R

III. W \$ R

a) None is true

b) Only I is true

c) Only III is true

d) Only either I or III is true

e) All are true

d) Only either I or III is true

Explanation

 # < © > % = \$ ≥ @ ≤

R≤D>W≤B

I.W<R – not follows

II.B>D – not follows

III. W≥R – not follows

W<R or W≥R – only either I or III is true

6) In the following questions, the symbols , %, \$ and @ are used with the following meaning as illustrated below.

P # Q means P is either smaller than or equal to Q.

P % Q means P is smaller than Q.

P @ Q means P is equal to Q.

P * Q means P is either greater than or equal to Q.

P \$ Q means P is greater than Q.

Statements:

B \$ N, N * R, R @ K

Conclusions:

I. K # N

II. B \$ K

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

≤ < = ≥ >

% @ * \$

B > N ≥ R = K

(I) K ≤ N, from above intervals are equal. If follows.

(II) B > K, from above internals are equal. If follows.

7)  Statement:

A ≤ B < C; A ≥ D; C ≤ F

Conclusions:

I.D < C

II. F ≥ 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 not II is true

e) If both Conclusion I and II are true.

a) If only Conclusion I is true

Explanation

D ≤ A ≤ B < C ≤ F

i) D < C (P)

ii) F ≥ D (O)

8) Statement:

P < Q = R ≥ S ≥ T

Conclusions:

I. T ≤ Q

II. R > P

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 not II is true

e) If both Conclusion I and II are true.

e) If both Conclusion I and II are true

Explanation

P < Q = R ≥ S ≥ T

i) T ≤ Q (P)

ii) R > P (P)

9) Statement:

F ≥ G = H; G > J ≥ K

Conclusions:

I. F ≥ K

II. K < H

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 not II is true

e) If both Conclusion I and II are true.

b) If only Conclusion II is true

Explanation

F ≥ G = H; G > J ≥ K

F ≥ G > J ≥ K

i) F ≥ K (O)

ii) K < H (P)

10) ‘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’.

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

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

Statements

J @ B, T \$ B, T © K

Conclusions

I.K \$ B

II. K % B

III. J @ T

a) Either I or II is true

b) Either II or II is true

c) I is true

d) I and III are true

e) None of these

c) I is true

Explanation

J ≤ B < T < K

i) K > B

ii) K ≥ B

iii) J ≤ T

Only I is true