banksy wrote:

For positive integer x, if x^2 has 4 digits, which of the following must be true?

I. x must be a 2-digit integer

II. 2x must be a 3-digit integer

III. 3x must be a 3-digit integer

(A) I only

(B) II only

(C) III only

(D) I and II only

(E) I and III only

X^2 has 4 digits. So,1000< x^2 <10000

31< x<100

32<=x<=99 , x must be a 2 digit integer.

64 <=2x<=198, x can be a 2 digit/3digit integer

96 <=3x<=297, x can be a 2 digit/3digit integer

Answer A
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