Algebra
Aptitude

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Q.

A student was asked to divide a number by 6 and add 12 to the quotient. He, however first added 12 to the number and then divided it by 6, getting 112 as the answer.

The correct answer should have been:

 A.

114

 B.

118

 C.

122

 D.

124

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Solution:
Option(C) is correct

Let the number be $ x $, then operations undertook by the student:

$=\left(\dfrac{x+12}{6}\right)=112$

$\Rightarrow x=660$

Correct answer: 

$=\dfrac{660}{6}+12$

$=122 $

Edit: For simplified calculations using similar equations, check comment by Sravan Reddy.


(4) Comment(s)


Sravan Reddy
 ()

$x=(6*112) - 12$

Required number $= \dfrac{x}{6}+12$

$= 112-2+12$

$= 122$

Save time by not calculating the exact value of $x$.


Riya
 ()

Good one, these small tactics really make a difference during the real competition.

Thumbs up (y)


JarredPef
 ()

is there an alternative method?



Rohan
 ()

You need something even simpler?