Mathematical Operation For SBI PO Set – 14

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

Statement:H > J = K, K ≥ L, L > T, T < V

Conclusions:

I. K > T

II. L ≤ T

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

2) 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

3) 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

4) 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

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

If ‘K’ denotes ‘×’, ‘B’ denotes ‘÷’, ‘T’ denotes ‘-’and ‘M’ denotes ‘+’, then40 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

6. 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

7) 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

8) 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:

E * F; G $ H; H # E; G @ K

Conclusions:

I. H @ K

II. H * 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.

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  e) if both conclusions I and II are true

Explanation

E * F; G$H; H#E; G@K

E ≥ F; G ≤H; H = E; G > K

K < G ≤ H = E ≥ F

(i) H> K – follow

(ii) H ≥ F – Follow

 9) 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:

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

10. If ‘+’ means ‘divided by’, ‘-’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then 18× 12+ 4 – 8 ÷2 =?

a) 216

b) 31

c) 04

d) 10

e) None of these

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  b) 31

Explanation

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

18 × 12 + 4 – 8 ÷ 2 => 18 – 12 ÷ 4 + 8 × 2

= 18 – 3 + 16 => 31