Quantitative Methods

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3. What is the value of n? 1. 3n+2m = 18. 2. n-m=2n - (4 + m)


1. There are 10 rams (male sheep) in the flock. 2. Forty percent of the animals are black.


9. Two socks are to be picked at random from a drawer containing only black and whitesocks. What is the probability that both are white? 1. The probability of the first sock being black is 1/3. There are 24 white socks in the drawer.


4. What is the ratio of AB to BC in the rectangular figure above? 1. The perimeter of ABCD is 32. 2. All the small rectangles have the same dimensions.


4. A university has 2,000 faculty members all of whom have a masters degree, and some ofwhom also have a doctorate. 35 percent of the faculty members are female. What fraction ofthe faculty members are female doctorate holders? 1. 20 percent of the male faculty members have a doctorate. 2. A total of 1140 faculty members have only a masters degree.


6. In triangle ABC all the sides have integer lengths. What is the length of side AC? 1. AB = 3 and BC = 4 2. One of the angles of ABC is a right angle


3. A die is rolled randomly on to a circular board with a triangle inscribed in the circle. (Allthree vertices of the triangle are on the circumference of the circle.) What is the probabilitythat the die comes to rest outside the triangular region? 1. The hypotenuse of the triangle is a diameter of the circle. 2. The radius of the circle is 2 units, and the area of the triangle is 4 square units.


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


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