
If the tick marks shown on the number line above are equally spaced and if x and y are the numbers designating the end points of an interval, as shown, what is the value of x?
(1) x = (3y)/4
(2) y = 2
Don't you think the correct should be C.....Please let mw know if my solution is correct.....
since x and y are designating the endpoints of the intervals, this means that y-x = 7s
s refers to the spaces
statement I
x=3y/4
from above we know that y-x = 7s
if we put the value of x in the formula y-x = 7s
we get s=y/28
Not sufficient as we don't know the value of y
statement II
y=2
from stem we know that y-x = 7s
if we put y in the formula we get x = 2-7s
still NS
Statement I and II together
from I we have x = 3y/4
from II we have y =2
if we put y = 2 in x=3y/4 we get x =1.5
hence both the statements together are sufficient
correct option should be C
Please let me know the detailed solution if I have done something wrong.
No, the correct answer is B, not C.
From Statement (2), y = 2, and from the diagram, the distance between 0 and y is divided into 4 equal intervals. That means each interval is 0.5 units. Since x is 3 intervals from 0, it must be x = 3 * 0.5 = 1.5. So Statement (2) alone is sufficient.