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1. When X is divided by 10, the result is an integer 2. \(X^2\) is a multiple of 30
* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient * Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient * BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient * EACH statement ALONE is sufficient * Statements (1) and (2) TOGETHER are NOT sufficient
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1. When X is divided by 10, the result is an integer 2. \(X^2\) is a multiple of 30
* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient * Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient * BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient * EACH statement ALONE is sufficient * Statements (1) and (2) TOGETHER are NOT sufficient
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1.
when X=10.. Is X divisible by 15? No when X=30 .. is X divisible by 15? Yes not sufficient
2. X^2 =30k
assume X = sqrt(30) (x can be fractional number) Is X divisible by 15? No ASSUM X= 30 is X is divisble by 15? Yes not sufficient
combined
combined from statement1 it is clear that X must be integer. X^2 =30k For X to be integer K must be multiple of 30*l^2 (here l any integer number.1,2.. ..etc)
1. When X is divided by 10, the result is an integer 2. \(X^2\) is a multiple of 30
* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient * Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient * BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient * EACH statement ALONE is sufficient * Statements (1) and (2) TOGETHER are NOT sufficient
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B.
X^2 is a multiple of 30, X must be a multiple of 30 or X must contain 30, so X must be divisible by 15.
1. When X is divided by 10, the result is an integer 2. \(X^2\) is a multiple of 30
* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient * Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient * BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient * EACH statement ALONE is sufficient * Statements (1) and (2) TOGETHER are NOT sufficient
B.
X^2 is a multiple of 30, X must be a multiple of 30 or X must contain 30, so X must be divisible by 15.
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If x^2 is a multiple of 30, then x must contain at least a: 2, 3, 5 making B the correct choice. What's the OA?
1. When X is divided by 10, the result is an integer 2. \(X^2\) is a multiple of 30
* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient * Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient * BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient * EACH statement ALONE is sufficient * Statements (1) and (2) TOGETHER are NOT sufficient
B.
X^2 is a multiple of 30, X must be a multiple of 30 or X must contain 30, so X must be divisible by 15.
If x^2 is a multiple of 30, then x must contain at least a: 2, 3, 5 making B the correct choice. What's the OA?
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X^2 =30k assume X = sqrt(30) i.e X^2=30 (x can be fractional number) Is X divisible by 15? No ASSUM X= 30 is X is divisble by 15? Yes not sufficient
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.