190113
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Four real numbers meet the conditions that w < x < y < z and wxyz < 0. Which one of the following options must be true?
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190113
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A truck is used to transport olive oil. The density of olive oil is 50 pounds/feet³. The cylindrical tank of the truck is 6 feet in diameter and 9 feet in length. The empty truck is 11000 pounds. How many tons is the truck when it is full of olive oil? (1 ton = 2204.62 pounds)
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190113
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There is one decayed apple in five apples. Take 2 apples randomly from these 5 apples. What's the probability that one of these two apples is the decayed apple?
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190113
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The ages of the three children are consecutive even numbers. How old is the oldest child?
(1) After 18 years, the sum of three children will be 2.5 times of that of the present age
(2) The youngest child after 5 years will be 7 years old.
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190113
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\frac{1}{2+\sqrt{3}}=?
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190113
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A clock recorded the end of a meeting that is 10:08 in the morning. How long did the meeting last?
(1) The meeting started at 8:00 in the morning that morning.
(2) The hour hand went 64 degrees in total during the meeting.
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190113
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x=a\sqrt{b}, y=c\sqrt{d}. If a, b, c and d are positive integers, and x and y are not integers. Is xy an integer?
(1) \sqrt{ad} is an integer.
(2) \sqrt{bc} is an integer.
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190113
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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.
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190113
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What is the average of x,y,z?
(1)2x-y+z=6
(2)x+4y+2z=9
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190113
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The radius of a circle is 10. The area of the sector(fan-shaped) whose center angle is x is A. Which of the following formulas can express A in terms of x?
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190113
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The first annual interest rate was 9%. In the second year, the investor used the principal and interest of the first year as the principal for investment. The annual interest rate of the second year was 10%. At the end of the second year, the sum of the initial principle and the interest of these two years was $20000. How much was the initial principal?
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190113
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$A is divided equally among all departments of three companies and each company has five departments. How much does each department get?
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190113
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The size range of a batch of parts is 2.5±0.03 mm. One of these parts is randomly selected, and the size of the part is k. Which inequality does k satisfy?
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190113 还原机经选题: 文字题&几何
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There are 40 cards in a box. Each card represents an integer. How many of the cards with odd integer?
(1) The probability that a card with an even integer is selected randomly is 5/8
(2) When two cars are taken out randomly, the probability that the two numbers on the cards are both even is 2/13.
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190113 还原机经选题: 文字题&几何
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Bob invests $1000 in two investments, A and B, whose simple interest rates are 6% and 8%, respectively. If Bob invests them for both 1 year, how much does he invest in investment A?
(1) The total interest he gets is $74.
(2) The interest of A is $38 less than that of B.
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190113 还原机经选题: 文字题&几何
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z=x/y. If x and y are increased by 40% and 25%, respectively, by what percent is z increases?
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190113
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Is |xy|+xy ≤ 0?
(1)|x|+xy ≤ 0
(2)|y|+xy ≤ 0
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190113 还原机经选题: 文字题&几何
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There are 50 balls of the same size and texture in a bag, including 20 red balls, 20 green balls, 6 purple balls and 4 black balls. The probability that a ball is selected randomly from the bag is equal. If Two balls were chosen randomly from the 50 balls in one time, what is the probability that these two balls are of the same color?
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190113 还原机经选题: 文字题&几何
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According to the picture, the area of this shaded sector is A, and its corresponding central angle is θ. What is the circumference of this circle, in terms of A and θ?
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190113
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If x+y=z, what is the value of y?
(1)y=x+z
(2)x=y+z
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