If the tick marks on the number line below are evenly spaced, what val

Question

https://gmatclub.com/forum/download/file.php?id=62289 If the tick marks on the number line below are evenly spaced, what value is represented by x? (A) 2^0 (B) 2 (C) (-2)2^5 (D) (-3)2^5 (E) (-4)2^5 2021-06-17_22-31-52.png

sumitkrocks · Accepted Answer

Each point on the line is  2^6-2^5 = 2^5  units apart

X will be =  2^5-2^5 -2^5-2^5-2^5-2^5 = (-3)2^5 
D is the answer IMO

kantapong · Answer

Gap btw 2^6 and 2^5 is 32
One tick below 2^5 is 0
Three ticks below zero is -32(3) = 2^5(-3) D

asishron29181 · Answer

2^5 = 32
2^6 =64
Distance between two points = 2^6 - 2^5 = 32

x is four points away from 2^5
x = 3 * (-2)^5

IMO D

Aliprep · Answer

Why is 2^6 - 2^5 is equal to 2^5? I know that 64-32=32 which is 2^5.
But is there any rule about adding or subtracting powers without actually multiplying?

Abhishek009 · Answer

2^6 - 2^5

= 2^5(2 - 1)

= 2^5

= 32 , Hope this helps!!!

Kinshook · Answer

https://gmatclub.com/forum/download/file.php?id=62289 
Asked: If the tick marks on the number line below are evenly spaced, what value is represented by x?

x = 2^5 - 4*(2^6 - 2^5) = 2^5 ( 1 - 4) = (-3)2^5

IMO D

Advait01 · Answer

The difference between 2^6 and 2^5 is 32 (2^5), 
Now since all the points are evenly spaced we can calculate x as -3(2^5)
Therefore D

vasu1104 · Answer

say distance between 2^5 and 2^6 is a
2^6 - 2^5 = a
a= 32 or 2^5

now since all are evenly spaced so distance would be 2^5 for all.
there are 4 space between X and 2^5
2^5 - X = 2^5 * 4
2^5 - (2^5) * 4 = X
X =(-3)* 2^5

If the tick marks on the number line below are evenly spaced, what val

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If the tick marks on the number line below are evenly spaced, what val

Prep Toolkit

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