Question

In the question some relationship have been expressed through symbols as defined below:
+ - $\times$ $\div$ = > <
V $\wedge$ ( ) $\cup$ $\cap$ O
In question only one of the five relationships is correct. Find the correct and encircle its serial number on the space provided against the question
A. 24 (3 V 4 ) 2$\cap$8
B. 24 ( 3$\cup$4 ) 2 V 8
C. 24 ) 3 V 4 O 2 = 8
D. 24$\wedge$3 ) 4 U 2 ( 8
E. 24 ) 3 $\cap$4 V 2 ( 8

Answer 1

Hint- In the question, to get the correct answer, we have to proceed by going through the options. Using the relation given, we will note down the code used for the particular symbol and then take each of the options and convert it into a corresponding mathematical expression and then check whether it is correct or not.

Complete step-by-step answer :
First of all, we will write the given relation:
+ - $\times$ $\div$ = > <
V $\wedge$ ( ) $\cup$ $\cap$ O
Now we will proceed by checking the options.
Let us take first option:
24 (3 V 4 ) 2$\cap$8
On decoding it, we get:
24$\times$3+4$\div$2 >8 . On further solving, we get:
72 + 2 > 8
$\Rightarrow$ 74> 8.
So, this is the correct relation.

Let us take second option:
24 ( 3$\cup$4 ) 2 V 8
On decoding it, we get:
24$\times$3=4$\div$2 + 8 . On further solving, we get:
72 = 10
So, this is not a correct relation.
Let us take third option:
. 24 ) 3 V 4 O 2 = 8
On decoding it, we get:
24$\div$ 3+4 < 2 = 8 . This is wrong as inequality and equality come in the same expression.
Let us take fourth option:
. 24$\wedge$3 ) 4 U 2 ( 8
On decoding it, we get:
24 – 3$\div$4=2 $\times$8 . On further solving, we get:
23.25 = 16.
So, this is not a correct relation.
Let us take fifth option:
On decoding it, we get:
24 ) 3 $\cap$4 V 2 ( 8
24 $\div$3 > 4 + 2 $\times$8 . On further solving, we get:
8 > 20.
So, this is not a correct relation.
Therefore, we can say that option A is the only correct relation.

Note- In this type of question, where coding is given in terms of symbol, you should write the code given in a separate place and carefully use it to decode each of the options because a minor mistake in taking the wrong relation may mess up the whole solution. You should know the rule of ‘BODMAS’ which is used to simplify the mathematical expression.