Question

What is the value of the given expression ?
  $160 \div 12 - 16 \div 12$
A.21
B.18
C.15
D.12

Answer 1

Hint: To find the value of the given expression $160 \div 12 - 16 \div 12$ we need to apply the BODMAS rule partially as this problem checks the logical reasoning and knowledge of arithmetic properties of the student.

Complete step-by-step answer:
Step 1:
The given expression is $160 \div 12 - 16 \div 12$
To find the value of this expression let's apply the BODMAS rule partially.
According to the BODMAS , the first preference is brackets and since there are no brackets present we can skip to the next part.
The second preference is given to of and there is no of present in this expression
Now the next one is division and the operation division is present in our expression
Hence the expression $160 \div 12 - 16 \div 12$ becomes $\dfrac{{160}}{{12}} - \dfrac{{16}}{{12}}$
Since 160 and 16 are not divisible by 12 we do not divide it completely as it will make our calculation tedious
Step 2 :
Now since the denominators are same we can carry out the subtraction without finding the lcm
$
   \Rightarrow \dfrac{{160}}{{12}} - \dfrac{{16}}{{12}} \\
   \Rightarrow \dfrac{{160 - 16}}{{12}} \\
   \Rightarrow \dfrac{{144}}{{12}} \\
   \Rightarrow 12 \\
$
We can see the value of the expression is 12
The correct option is D


Note: The student may tend to divide 160 by 12 and 16 by 12 but will end up with decimal values and the process takes a long time . The student needs to think logically while answering these kind of questions