## Mathematical Operation For SBI PO Set – 9

1) If the expressions ‘E < J ≤ H > Z’, ‘H ≤ Y’ and ‘E > F’ are true, which of the following conclusions will be definitely false?

a) F < Y

b) Y > E

c) F < H

d) J ≤ Y

e) All are true

e) All are true

Explanation

(e) F < E < J ≤ H ≤ Y, H >Z

F<Y is true

Y>E is true

F<H is true

J≤Y is true

2.In which of the following expressions will the expression ‘P > S’ be definitely false?

a) P > Q ≥ R = S

b) S ≤ R ≤ Q < P

c) R = P > Q ≥ S

d) S > Q ≥ R < P

e) S < Q ≤ R < P

d) S > Q ≥ R < P

Explanation

(d) S>Q≥R<P definitely false

3) Which of the following symbols should be placed in the blank spaces respectively (in the same order from left to right) in order to complete the given expression in such a manner that ‘N < K’ definitely holds true?

K ____ L ____ M _____ N

a) ≥, =, >

b) ≤, <, =

c) ≤, =, >

d) >, ≥, <

e) None of these

a) ≥, =, >

Explanation

(a) K ≥L=M>N

4)  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 equal to Q.

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

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

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

Statements:

R δ K, K * M, M @ J

Conclusions:

III. R * J

a) Only I and II are true

b) Only II and III are true

c) Only I and III are true

d) All I, II and III are true

e) None of these

d) All I, II and III are true

Explanation

(d) R≤K<M=J

I. J>K is true

II. M>R is true

II. R<J is true

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 equal to Q.

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

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

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

Statements:

Z @ M, M © K, K * F

Conclusions:

II. K * Z

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

c) Only II is true

Explanation

(c) Z=M>K<F

I. F>Z is not true

II. K<Z is true

III. F>M is not true

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 equal to Q.

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

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

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

Statements:

B * J, J % W, W © M

Conclusions:

I. M * J

II. W * B

a) None is true

b) Only I is true

c) Only II is true

d) Only III is true

e) Only I and III are true

b) Only I is true

Explanation

(b) B<J≥W>M

I. M<J is true

II. W<B is not true

III. B>M is not true

7) 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 c % b and b × a, then

a) a ∆ c

b) c □ a

c) b □ c

d) c ∆ a

e) None of these

a) a ∆ c

Explanation

(a)  c<b ≤a

a>c =a∆c

8) 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 equal to Q.

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

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

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

Statements:

W © T, T δ N, N % D

Conclusions:

I. D * T

III. D % T

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

a) None is true

Explanation

(a) W>T≤N≥D

I. D>T is not true

II. W>N is not true

III. D≥T is not true

9) 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:

J \$ D, D © K, K % R

Conclusions:

I. R \$ J

II. R \$ D

III. K \$ J

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

c) Only II is true

Explanation

(c) J>D≤K<R

I. R>J is not true

II. R>D is true

III. K>J is not true

10) 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:

M * K, K @ R, R % N

Conclusions:

I. R % M

II. R @ M

III. N \$ K

a) Only I is true

b) Only II is true

c) Only III is true

d) Only either I or II is true

e) Only either I or II and III are true

e) Only either I or II and III are true

Explanation

(e) M≥K=R<N

I. R<M is true

II. R=M is true

(Either a or b is true)

N>K is true