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300难题	Let S be the set of all positive integers having at most 4 digits and such that each of the digits is 0 or 1. What is the greatest prime factor of the sum of all the numbers in S ?
300难题	What is the length of the hypotenuse of △ABC ? (1)The lengths of the three sides of △ABC are consecutive even integers. (2)The hypotenuse of △ABC is 4 units longer than the shorter leg.
300难题	n = $$2^{4} • 3^{2} • 5^{2}$$ and positive integer d is a divisor of n. is d > $$\sqrt{n}$$ ? 1.d is divisible by 10. 2.d is divisible by 36.
OG12 OG15	What is the average (arithmetic mean) of j and k ?(1)The average (arithmetic mean) of j + 2 and k + 4 is 11.(2)The average (arithmetic mean) of j, k, and 14 is 10.
Ready4	There are 12 vehicles in a parking lot, of which 3 are trucks and 9 are cars. How many possible selections of 4 vehicles from the parking lot contain at least one truck and at least one car?
Ready4	If $1 - \frac{1}{y} = \frac{y}{4}$ , then y has how many possible values?
Ready4	$1 - (\frac{2}{3} - \frac{3}{4})$ =
Ready4	A student's average (arithmetic mean) test score on 4 tests is 68. What must be the student's score on a 5th test for the student's average score on the 5 tests to be 70?
Ready4	In the coordinate plane, a circle has center (−1, −3) and passes through the point (4, 2). What is the circumference of the circle?
Ready4	In an office there are 4 female staff members and 10 male staff members. In how many ways can a committee of 3 members be formed if it must include at least one female member?
Ready4	How many numbers in a set of 5 consecutive positive integers are divisible by 4? (1) The median of the set is odd (2) The mean of the set is prime
181215	S = {1,2,3,4,5}, A,B are subsets of S, Ac, Bc represent the sets belonging to S but not belonging to A,B respectively. Ac∩B=? 1: A∩B={2} 2: A∩Bc={4}
190603	The three heights of a triangle are M, H, and K. Is the perimeter of this triangle greater than 6? (1)M>2 (2)K+H>4
181215	The sum of three positive integers is even. Is the product of these three numbers a multiple of 4? 1: The three numbers are equal. 2: The three numbers are even.
190415	S=S={1,2,3,4,5,11,x}. x is a positive integer. Is ? 1: The median of S is 4. 2: x is larger than or equal to the median.
190321	In the rectangular coordinate system, there is a line with a slope of 4. This line goes through the points (1,c), (d,2). Which of the following relations does c and d satisfy?
190113	A, B and C are positive integers. If A+B+C is even, is A+B+C a multiple of 4? (1) A=B=C (2) A,B,C are even.
190321	Someone spent a quarter of his total capital on stock A and the rest on stock B. Stock A is up 8% and stock B is down 4%. What's the percentage increase in total funds?
190113	$$\frac{1}{n(n-1)}$$-$$\frac{1}{(n-1)(n-2)}$$=$$\frac{2}{n(n-1)(n-2)}$$,$$\frac{ab}{456}$$+$$\frac{ab}{567}$$+...+$$\frac{ab}{192021}$$=?
190310	A positive integer x is less than 50. The remainder of x divided by 7 is 1. x=? 1: The remainder of x divided by 9 is 7. 2: The remainder of x divided by 4 is 3.