The scores obtained by Ben and Molly in three tests is shown in the ta

Question

The scores obtained by Ben and Molly in three tests is shown in the table below.

Ben Molly
Test-1 x y
Test-2 y z
Test-3 z x

Is x = y = z?

(1) Sum of the scores obtained by Ben and Molly in each of the tests equals 100.

(2) x = z

pushpitkc · Answer

1. x + y = y + z = x + z = 100
This is only possible when x = y = z = 50  (Sufficient)
 
2. x = z
Since we have no information about y, we cannot say for sure that x = y = z  (Insufficient)   (Option A)

Kritisood · Answer

Hi, why is it only possile when x=y=z=50
they can take decimal value too right? like one can get a score of say 27.5?

nick1816 · Answer

x+y=100......(1)
y+z=100.......(2)
z+x=100.......(3)

Add (1), (2) and (3)

x+y+y+z+z+x = 300

2(x+y+z)= 300

x+y+z= 150.....(4)

Put x+y=100 in equation (4), we get z=50

Put y+z=100 in equation (4), we get x=50

Put z+x=100 in equation (4), we get y=50

Deep32470 · Answer

The scores obtained by Ben and Molly in three tests is shown in the ta

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GMAT Data Sufficiency (DS) Questions

The scores obtained by Ben and Molly in three tests is shown in the ta

Prep Toolkit

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