Mathematical Operation For SBI PO Set – 7

1) Statement:

A > B, B ≥ C = D < E

Conclusions:

I. C <A

II. D ≤ 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. 

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 e) If both conclusions I and II follow.

Explanation

Statement:

A > B ≥ C = D < E

Conclusion:

(i) C < A – follow

(ii) D ≤ B – follow

Both conclusion (i) & (ii) follow 

2) Statement:

H > J = K, K ≥ L, L > T, T < V

Conclusions:

I. K > T

II. L ≤ H

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. 

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 a) If only Conclusion I follows

Explanation

Statement:

H > J = K ≥ L > T < V

Conclusion:

(i) K > T – follow

(ii) L ≤ T – Not follow

Only conclusion (i) follow 

3) If ‘+’ means ‘ –’ , ‘ – ’ means ‘×’ , ‘×’ means ‘÷’ and ‘÷’ means ‘+’, then, what is the value of ? 9 – 7 +85× 17 ÷15?

a) 73

b) 83

c) 79

d) 68

e) None of these 

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 a) 73

Explanation

In this question we have to replace ‘+’ by ‘-’, ‘-’, by ‘x’, ‘x’ by ÷, ‘÷’ by ‘+’

9 – 7 + 85 × 17 ÷ 15 can written as 9 × 7 – 85 ÷ 17 + 15

9 × 7 – 5 + 15 =73 

4) If ‘R’ denotes ‘÷’, ‘P’ denotes ‘×’; ‘W’ denotes ‘+’ and ‘V’ denotes ‘- ’; then 14 W 16 R 4 V 3 P 5 =?

a) 15

b) 4

c) 6

d) 3

e) None of these 

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 d) 3

Explanation

R means ÷, P means ×, N means +, V means –

14 W 16 R 4 V 3 P 5 => 14 + 16 ÷ 4 – 3 × 5 => 14 + 4 – 15 =3 

5) In the questions given below, certain symbols are used with the following meaning.

If ‘+’ is written as ‘-’ ‘-’as ‘×’, ‘×’ as ‘÷’ and ‘÷’ as ‘+’, then what will be the value of the following equation? 7 – 30÷ 5× 1 + 9 =?

a) 205

b) 206

c) 216

d) 256

e) None of these 

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 b) 206

Explanation

+ written as -, × as ÷, – as ×, ÷ as +

7 – 30 ÷ 5 × 1 + 9 =?

7 × 30 + 5 ÷ 1 – 9 =210 + 4 – 9 =206 

6) In the questions given below, certain symbols are used with the following meaning.

If ‘K’ denotes ‘×’, ‘B’ denotes ‘÷’, ‘T’ denotes ‘-’and ‘M’ denotes ‘+’, then

40 B 8 T 6 M 3 K 4 =?

a) 19

b) 11

c) -31

d) 23

e) None of these 

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 b) 11

Explanation

K = ‘×’; B = ‘÷’; T =‘-’; M = ‘+’

40 B 8 T 6 M 3 K 4 =?

40 ÷ 8 – 6 + 3 × 4 = 5 – 6+12=11 

7) If ‘P’ denotes ‘÷’, ‘Q’ denotes ‘ –’. ‘R’ denotes ‘×’ and ‘T’ denotes ‘+’, then 24 T 16 Q 32 P 8 R 4 = ?

a) 4

b) 39

c) ¼

d) 40

e) None of these 

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 e) None of these

Explanation

P = ÷; Q = ‘-’; R = ‘×’; T= ‘+’

24 T 16 Q 32 P 8 R 4 =?

24 + 16 – 32 ÷8 × 4 =24 + 16 – 4 × 4 =24 

8) If ‘×’ means ‘subtracted from’, ‘ – ’ means ‘added to’, ‘÷’ means ‘multiplied by’ and ‘+’ means ‘divided by’, then 8-12 +4 ×3÷3 =?

a) 35

b) 12

c) 2

d) 4

e) None of these 

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 c) 2

Explanation

‘×’ => ‘-’; ‘-’ => ‘+’; ‘÷’ => ‘×’; ‘+’ => ‘÷’

8 – 12 + 4 × 3 ÷ 3 => 8 + 12 ÷ 4 – 3 × 3

=> 8 + 3 – 9 =2 

9.  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:

T * U; U $ W; V @ L: W + V

Conclusions:

I. U + V

II. L # W

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. 

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a) if only conclusion I is true

Explanation:

(i) U < V – follow

(ii) L = W – Not follow

10) 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:

P $ Q; N # M; M @ R; R * P

Conclusion:

I. P + N

II. Q $ 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 conclusions I and II are true. 

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 a) if only conclusion I is true

Explanation

P $ Q; N # M; M@R; R * P

N = M > R ≥ P ≤ Q

(i) P < N – follow

(ii) Q ≤ M – Not follow