x=x^2 holds true for x=0 or x=1 (x=x^2 --> x^2-x=0 --> x(x-1)=0 --> x=0 or x=1). So basically the question asks whether x is one of these two values.
(1) x does not equal 0. So one value is out but x can be 1 as well as any other number (except 0). Not sufficient.
(2) x > 1 --> x neither 0 nor 1, so the answer to the question is NO. Sufficient.
Okay, so I agree with x > 1 being sufficient, however, I think the answer is D, both statements alone are sufficient.
For statement 1: If x does not equal zero, then we can divide by x, hence x =1 an we know x = x^2. Thoughts?
Question asks: "is x=x^2?", since for (1) x does not equal 0 then, yes, you can divide by it and the question becomes
: "is x=1?" (We are asked to determine whether x=x^2 is true and you've taken this as given statement).
Hope it's clear.
New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.
Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics