If a wire 27 meters long is cut into three pieces of three different lengths, what is the length of the longest piece?
(1) The length of the longest piece is twice the length of the shortest piece
(2) The sum of the length of the two shorter pieces is 15 meters
How many integers are there between C and D?
(1) Neither c nor d is an integer.
(2) c – d = 3
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Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, 12, 0.13, and 4.068 are three terminating decimals. If j and k are positive integers and the ratio j/k is expressed as a decimal, is j/k a terminating decimal?
(1) k = 3
(2) j is an odd multiple of 3.
A company called Nutrilicious offers its Calcium tablets in three different packet sizes - containing 30, 60 and 90 tablets each - respectively. How many packets in total, including all the three types, were bought by Maria?
(1) Ratio of the number of packets bought by Maria containing 30 and 90 tablets each was 3:2.
(2) Number of packets bought by Maria containing 60 tablets each were 1/2 of the total number of packets bought by Maria.
The temperature on the Celsius scale (C) is related to temperature on the Fahrenheit scale (F) by the formula C = 5/9(F—32). What is the difference between a certain pair of temperatures on the Celsius scale?
(1) The difference between the temperatures on the Fahrenheit scale is 45°.
(2) The greater of the two temperatures is 30° on the Celsius scale
How many students does Professor Garcia currently have in his class?
(1) If there were 10 more students in his class, Professor Garcia would have at least 50 students in his class.
(2) If there were 10 fewer students in his class, Professor Garcia would have at most 50 students in his class.
If d is a decimal, is d ≥ 1.55?
(1) When d is rounded to the nearest tenth, the result is 1.6
(2) When d is rounded to the nearest integer, the result is 2
What is the arithmetic mean of 3x and 4y?
(1) y/6 - x/8 = 2/3
(2) y/6 + x/8 = 5/3
What is the number of multiples of 4 in 5 consecutive integers?
1) The median of them is 4
2) The average (arithmetic mean) of them is a multiple of 4
Each boy does exactly 2 units of work per day and each girl does exactly 3 units of work per day. Can 4 boys and 3 girls finish the total given work within 6 days?
(1) The total given work is greater than 80 units.
(2) The total given work is lesser than 100 units.
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