QBM020
Q1. Brass is an alloy of copper and zinc. Bronze is an alloy containing 80% copper, 4% of zinc and 16% of tin. A fused mass of brass and bronze is found to contain 74% of copper, 16% zinc, and 10% of tin. The ratio of copper to zinc in brass is Q2. The time period of a pendulum varies directly with the square root of the length of the pendulum and inversely as the acceleration due to gravity. If the length of the pendulum is made four times the original and the acceleration due to gravity is halved, then what is the ratio of the time periods of the pendulum in the two cases? a. 1 b.1/4 c. 1/16 d. 1/8 Q3. The length of a rectangle is increased by 30% and its width is decreased by 10%. This increases the area by: a. 20% b. 15% c. 22% d. 17% e. None of these Q4. The radius of the circum circle of an equilateral triangle of side 12 cm is. Q5. Harsha used 6 lts of oil to paint the map of India 6 mts high. How many liters of paint would be need for painting for proportionately scaled map of 18 mts high. Q6. Two jars having a capacity of 3 and 5 liters respectively are filled with mixtures of milk and water. In the smaller jar 25% of the mixture is water. The jars are emptied into a 10 liter cask whose remaining capacity is filled up with water. Find the percentage of milk in the cask. Q7. The areas of two spheres are in the ratio 1 : 4. The ratio of their volumes is Q8. What is the maximum value of x/y for which (x-2) 2 = 9 and (y-3) 2 = 25 ? Q9. If a, b and c are all real numbers, the minimum value of ab + bc + ca is a. 0 b. –1/2 c. –3/2 d. None Q10. The monthly salaries of two persons are in the ratio of 4:7. If each receives an increase of Rs.25 in the salary, the ratio is altered to 3: 5. Find their respective salaries. END
Answers.
Q1. 64% 36% Q2. 1/4 Q3. Q4. 4√3 cm Q5. 18 Q6. 45% Q7. -1 : 8 Q8. -1/8 Q9. d Q10. 200 & 350