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A "Sophie Germain" prime is any positive prime number p for which 2p + 1 is also prime. The product of all the possible units digits of Sophie Germain primes greater than 5 is
190124 The size of the rectangular ground is 12 feet * 9 feet. If the ground is covered with square tiles whose length is 9 inches. How many tiles are needed? (1 foot = 12 inch)
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In the rectangular coordinate system above, A is at the origin, B has coordinates (1, 0), and line L is a line parallel to AB that passes through (0, 5). If a point C along line L is chosen to form a triangle with the segment AB, what is the area of triangle ABC?
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A square with 10-inch sides has a circle inscribed within it. What is the total area that is within the square but outside the circle?
OG16 OG17 OG18 OG19 OG20 OG2022 Alex deposited x dollars into a new account that earned 8 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ?
OG16 OG17 OG18 If n is a positive integer and the product of all the integers from 1 to n, inclusive, is divisible by 990, what is the least possible value of n?
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In the coordinate plane, a circle has center (−1, −3) and passes through the point (4, 2). What is the circumference of the circle?
190302 The average speed of a train is 50 miles/h. How many seconds does it take for the train to finish a journey of 700 feet? (1 mile = 5280 inches)
190215 The reminder is 1 when n is divided by 4 and the reminder is 2 when n is divided by 3. Which of the following range might n fall into?
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Which of the following is the largest?
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If the product of integer and integer is odd, then which of the following must be even?
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Josh and Dan have 12 apples each. Together they flip a coin 6 times. For every heads, Josh receives an apple from Dan, and for every tails Dan receives an apple from Josh. After the coin has been flipped 6 times, what is the probability that Josh has more than 12 apples but fewer than 18 apples?
181215 Which of the following options has the same standard deviation as a,b,c?
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Carl's pet rabbit finishes a 2-pound bag of feed every 8 days. When Carl's rabbit and guinea pig both share the same bag of feed, they finish it in 5 days. How many days would it take Carl's guinea pig to finish a 2-pound bag by itself?
OG12 OG15 if $${t}=\frac{1}{(2^9*5^3)}$$ is expressed as a terminating decimal,how many zeros will t have between the decimal point and the first nonzero digit to the right of the decimal point?
PREP07 Test 1 A certain company employs 6 senior officers and 4 junior officers. If a committee is to be created that is made up of 3 senior officers and 1 junior officer, how many different committees are possible?
The string of digits 135791113…999 is formed by merging together the decimal representations of the odd integers from 1 through 999. Counting from the left, what is the 110th digit of this string of digits?
Magoosh Given that $$n = 10^{a} + 10^{b} + 10^{c}$$, where a, b, and c are distinct positive integers, how many different positive values of n result if n is less than 1 billion (1,000,000,000) ?
PREP07 Test 1 If each term in the sum $${a}_{1}$$ + $${a}_{2}$$ + . . . + $${a}_{n}$$ is either 7 or 77 and the sum equals 350,which of the following could be equal to n ?
Magoosh Walking at a constant rate of 8 kilometers per hour, Juan can cross a bridge in 6 minutes. What is the length of the bridge in meters? (1 kilometer = 1000 meters)