GATE2013 CE: GA-1

Question

A number is as much greater than $75$ as it is smaller than $117$. The number is:

• A. $91$
• B. $93$
• C. $89$
• D. $96$

Answer 1

$D$. 96

Let the number be $x$. Writing equation,

$x - 75 = 117-x$.

$2 \times x = 192$

$x=\frac{192}{2}=96$

Comments

We can also take the difference between the two numbers like (117-75 ) which is 42 and divide by 2 . we will get 21 . We can either add 21 to 75 or subtract 21 from 117 to get the required answer 96.

Answer 2

75 <= X <=117

MEAN = (75+117) / 2 = 96