# Mathematical operations

$1.&space;\text{If&space;+&space;means&space;'minus',&space;}&space;\times&space;\,&space;\text{means&space;'divided&space;by'&space;,}&space;\,&space;\div&space;\text{&space;means&space;'plus'&space;and&space;-&space;means&space;'multiplied&space;by'},$

$\text{then&space;the&space;value&space;of&space;}&space;252&space;\times&space;9&space;-&space;5&space;+&space;32&space;\div&space;92&space;\,&space;?$

A. 95

B. 168

C. 192

D. 200

Ans: D

Explanation:

$\text{Using&space;the&space;proper&space;signs,&space;we&space;get}$

$252&space;\div&space;9&space;\times&space;5&space;-&space;32&space;+&space;92&space;=&space;28&space;\times&space;5&space;-&space;32&space;+&space;92$

$=&space;140&space;-&space;32&space;+&space;92$

$=&space;232&space;-&space;32$

$=&space;200$

$2.&space;\,&space;\text{If&space;+&space;means&space;}&space;\times&space;,&space;\times&space;\,&space;\text{means&space;}-,&space;\div&space;\text{&space;means&space;+&space;and&space;}&space;-&space;\text{&space;means&space;}&space;\div,&space;\text{&space;then,&space;the&space;value&space;of&space;}$

$175&space;-&space;25&space;\div&space;5&space;+&space;20&space;\times&space;3&space;+&space;10&space;\,&space;?$

A. 77

B. 160

C. 240

D. 2370

Ans: A

Explanation:

$\text{Using&space;proper&space;signs,&space;we&space;get}$

$175&space;\div&space;25&space;+&space;5&space;\times&space;20&space;-&space;3&space;\times&space;10&space;=&space;7&space;+&space;5&space;\times&space;20&space;-&space;3&space;\times&space;10$

$=&space;7&space;+&space;100&space;-&space;30$

$=&space;107&space;-&space;30$

$=77$

$3.&space;\text{&space;If&space;L&space;stands&space;for&space;+,&space;M&space;stands&space;for&space;}-,&space;\text{&space;N&space;stands&space;for&space;}&space;\times,&space;\text{&space;P&space;stands&space;for&space;}&space;\div,$

$\text{Then&space;14&space;N&space;10&space;L&space;42&space;P&space;2&space;M&space;8}&space;=&space;\,&space;?$

A. 153

B. 216

C. 248

D. 251

Ans: A

Explanation:

$\text{Using&space;the&space;proper&space;signs,&space;we&space;get}$

$14&space;\times&space;10&space;+&space;42&space;\div&space;2&space;-&space;8&space;=&space;14&space;\times&space;10&space;+&space;21&space;-&space;8$

$=&space;140&space;+&space;21&space;-&space;8$

$=&space;161&space;-&space;8$

$=153$

4. If < means minus, > means plus, = means multiplied by and $means divided by then the value of 27 > 81$ 9 < 6 ?

A. 6

B. 33

C. 36

D. None of these

Ans: D

Explanation:

$\text{Using&space;the&space;correct&space;symbols,&space;we&space;have}$

$27&space;+&space;81&space;\div&space;9&space;-&space;6&space;=&space;30$

$5.&space;\text{&space;If&space;+&space;means&space;divided&space;by,&space;}&space;-&space;\text{&space;means&space;addition,&space;}&space;\times&space;\text{means&space;substraction}$

$\text{&space;and&space;}&space;\div&space;\text{&space;means&space;multiplication,&space;then&space;the&space;value&space;of&space;}&space;24&space;\div&space;12&space;-&space;18&space;+&space;9&space;\,&space;?$

A. 25

B. 0.72

C. 15.30

D. 290

Ans: D

Explanation:

$\text{Using&space;the&space;correct&space;symbols,&space;we&space;have}$

$24&space;\times&space;12&space;+&space;18&space;\div&space;9&space;=&space;290$

$6.&space;\text{&space;If&space;}&space;\&space;\text{&space;means&space;+,}&space;\,&space;\&hash;&space;\text{&space;means&space;}-,&space;@&space;\text{&space;means&space;}\times&space;\text{&space;and&space;}&space;*&space;\text{&space;means&space;}&space;\div,&space;\text{&space;then&space;the&space;value&space;of&space;}$

$16&space;\,\,&space;\,\&space;\,\,&space;4&space;\,\,&space;@&space;\,\,&space;5&space;\,\,&space;\&hash;&space;\,&space;\,72&space;\,&space;*&space;\,&space;8&space;\,&space;?$

A. 25

B. 27

C. 29

D. 36

Ans: B

Explanation:

$\text{Using&space;the&space;correct&space;symbols,&space;we&space;have}$

$16&space;+&space;4&space;\times&space;5&space;-&space;72&space;\div&space;8&space;=&space;27$

$7.&space;\text{&space;If&space;}&space;\div&space;\text{&space;means&space;}&space;\times,&space;\times&space;\text{&space;means&space;+},&space;+&space;\text{&space;means&space;}-&space;\text{&space;and&space;}&space;-&space;\text{&space;means&space;}&space;\div,&space;\text{&space;then&space;find&space;the}$

$\text{&space;value&space;of&space;}&space;16&space;\times&space;3&space;+&space;5&space;-&space;2&space;\div&space;4$

A. 9

B. 10

C. 19

D. None of these

Ans: A

Explanation:

$\text{Using&space;the&space;correct&space;symbols,&space;we&space;have}$

$16&space;+3&space;-5&space;\div&space;2&space;\times&space;4&space;=&space;9$

$8.&space;\text{&space;If&space;+&space;means&space;}\div,&space;\div&space;\text{&space;means&space;}&space;-,&space;-&space;\text{&space;means&space;}&space;\times,&space;\times&space;\text{&space;means&space;}&space;+,$

$\text{&space;then&space;}&space;12&space;+6&space;\div&space;3&space;-&space;2&space;\times&space;8&space;=&space;\,&space;?$

A. -2

B. 2

C. 4

D. 8

Ans: C

Explanation:

$\text{Using&space;the&space;correct&space;symbols,&space;we&space;have}$

$12&space;\div&space;6&space;-&space;3&space;\times&space;2&space;+&space;8&space;=&space;4$

$9.&space;\text{&space;If&space;+&space;means&space;}&space;-,&space;-&space;\text{&space;means&space;}&space;\times,&space;\div&space;\text{&space;means&space;+&space;and&space;}&space;\times&space;\text{&space;means&space;}&space;\div,$

$\text{&space;then&space;}&space;15&space;-&space;3&space;+&space;10&space;\times&space;5&space;\div&space;5&space;=&space;\,&space;?$

A. 5

B. 22

C. 48

D. 52

Ans: C

Explanation:

$\text{Using&space;the&space;correct&space;symbols,&space;we&space;have}$

$15&space;\times&space;3&space;-&space;10&space;\div&space;5&space;+&space;5&space;=&space;48$

$10.&space;\text{&space;If}&space;\times&space;\text{means&space;}&space;\div,&space;\,&space;-&space;\text{&space;means&space;}&space;\times&space;,&space;\,&space;\div&space;\text{&space;means&space;+&space;and&space;+&space;means&space;}&space;-,$

$\text{&space;then&space;}&space;\left&space;(&space;3&space;-&space;15&space;\div&space;19&space;\right&space;)&space;\times&space;8&space;+&space;6&space;=&space;\,&space;?$

A. -1

B. 2

C. 4

D. 8

Ans: B

Explanation:

$\text{Using&space;the&space;correct&space;symbols,&space;we&space;have}$

$\left&space;(&space;3&space;\times&space;15&space;+&space;19&space;\right&space;)&space;\div&space;8&space;-&space;6&space;=&space;2$