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How many ewes (female sheep) in a flock of 50 sheep are black?
1.There are 10 rams (male sheep) in the flock.
2.Forty percent of the animals are black.

statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
each statement alone is sufficient
statements 1 and 2 together are not sufficient, and additional data is needed to answer the question
Additional Questions

The arithmetic mean (average) of a set of 10 numbers is 10. Is the median value of the same set also equal to 10?
1.Exactly half of the numbers are less than 10.
2.The mode of the set of numbers is 10.

Answer

If a and b are both positive, what percent of b is a?
1.a = 3/11
2.b/a = 20

Answer

One number, n, is selected at random from a set of 10 integers. What is the probability that ½ n + 13 = 0 ?
1.The largest integer in the set is 13.
2.The arithmetic mean of the set is zero.

Answer

A bucket was placed under a dripping tap which was dripping at a uniform rate. At what time was the bucket full?
1.The bucket was put in place at 2pm.
2.The bucket was half full at 6pm and three-quarters full at 8pm on the same day.

Answer

Are the integers x, y and z consecutive?
1.The arithmetic mean (average) of x, y and z is y.
2.y-x = z-y

Answer

What is the slope of line l which passes through the origin of a rectangular coordinate system?
1.The line does not intersect with the line y = x + 2
2.The line passes through the point (3,3)

Answer

Every pupil in a school was given one ticket for a concert. The school was charged a total of $6000 for these tickets, all of which were of equal value. What was the price of one ticket?
1.If the price of each ticket had been one dollar less, the total cost would have been 1,200 less.
2.If the price of each ticket had been $2 more, the total bill would have increased by 40%.

Answer

A certain straight corridor has four doors, A, B, C and D (in that order) leading off from the same side. How far apart are doors B and C?
1.The distance between doors B and D is 10 meters.
2.The distance between A and C is 12 meters.

Answer

Does x³ - x give a whole number when divided by 3?
1.x is a positive integer greater than 1.
2.|x|> 0

Answer

How long did it take Henry to drive to work last Wednesday? (He did not stop on the way).
1.If he had driven twice as fast he would have taken 35 minutes.
2.His average speed was 30 miles per hour.

Answer
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