Question 292 Data Sufficiency 2018 GMAT Official Guide
Question 292 Data Sufficiency 2018 GMAT Official Guide
Video explanation: If r and t are three-digit positive integers, is r greater than…
Comments
Georgesays
Hi dude! As a non native speaker, I got trouble in understanding condition 2.
It says “The tens digit of r is less than either of the other two digits of r”. I got confused!
Let’s say r is “xyz”. Because it uses “either”, so my first understanding is that y<x, or y<z, instead of y<x and y<z[why not say "The tens digit of r is less than each of the other two digits of r". ].
Based on my wrong thinking, when combing condition 1 and 2, if y is greater than each of the three digits of t, it's possible that y x, because it’s “or” logic. Thus it’s possible that r < t, as x could be less than the hundred digit of t. That's why I choose E for an answer.
I will often use examples to understand statements. When they say “The tens digit of r is less than either of the other two digits of r”, it means the three digit number could be 735, 826, 416, etc. The either part as you said correctly means the tens digit must be less than both of the other two digits. I know it is confusing, but it is precise and you are right that they could have phrased it the way you said: “The tens digit of r is less than each of the other two digits of r”, but GMAT likes to keep statements as brief as possible.
George says
Hi dude! As a non native speaker, I got trouble in understanding condition 2.
It says “The tens digit of r is less than either of the other two digits of r”. I got confused!
Let’s say r is “xyz”. Because it uses “either”, so my first understanding is that y<x, or y<z, instead of y<x and y<z[why not say "The tens digit of r is less than each of the other two digits of r". ].
Based on my wrong thinking, when combing condition 1 and 2, if y is greater than each of the three digits of t, it's possible that y x, because it’s “or” logic. Thus it’s possible that r < t, as x could be less than the hundred digit of t. That's why I choose E for an answer.
GMAT Quantum says
George,
I will often use examples to understand statements. When they say “The tens digit of r is less than either of the other two digits of r”, it means the three digit number could be 735, 826, 416, etc. The either part as you said correctly means the tens digit must be less than both of the other two digits. I know it is confusing, but it is precise and you are right that they could have phrased it the way you said: “The tens digit of r is less than each of the other two digits of r”, but GMAT likes to keep statements as brief as possible.