1.An inverted right circular cone has a radius of 9 cm. This cone is partly filled with oil which is dipping from a hole in the tip at a rate of 1cm3/hour. Currently the level of oil 3 cm from top and surface area is 36π cm2. How long will it take the cone to be completely empty?

1. 216π hours
2. 1 hour
3. 3 hours
4. 36π hours
Answer: Option A Explanation: Surface area of oil = 36 π = πr2 =) r = 6 cm Now, ∆ABC ~ ∆AED = DEBC=AEAC =) 9/6=(3+h)/h =) h = 6 cm ∴ Volume of oil in the cone = πr2h = π62 x 6 = 216π =) Time taken = 216π1 = 216π hours Choice (A) is therefore, the correct answer.
[/vc_column_text][vc_column_text]2. The following graphs give the revenues and growth rates of 4 divisions of Garbage Inc, an interesting company that specializes in waste management: In the year 2013, what was the share of revenues of the division Pharma?   1. 27%
2. 35%
3. 19%
4. 22%
Explanation: Answer 1: (b) D sits along the extreme left of the line. Correct option is (b) Answer 2: (d) AF are not separated by 1 person. Correct option is (d) Answer 3: (c) 3 people separate F and E. Correct option is (c). Answer 4: (b) C sits to the middle of the line. Correct option is (b) Answer 5: (a) E is third to the right of A. Correct option is (a) Correct Answer: D