*CSIR Mathematics Question Paper with Answers June And December 2012.*

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**CSIR Mathematics Question Paper with Answers June And December 2012**

**CSIR Mathematics Question Paper with Answers June And December 2012**

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** Suppose the sum of the seven positive numbers is 21. What is the minium possible value of the average of the sqaures of these numbers?**

1. 63 2. 21 3. 9 4. 7

** If the sum of the next two terms of the series below is x, what is the value of log2x?**

2, -4, 8, -16, 32, -64, 128

1. 128 2. 10 3. 256 4. 8

** A conical vessel with semi-vertical angle 300 and height 10.5 cm has a thin lid. A sphere kept inside it touches the lid. The radius of the sphere in cm is**

1. 3.5 2. 5 3. 6.5 4. 7

** Amar, Akbar and Anthony are three friends, one of whom is a doctor, another is an engineer and the third is a professor. Amar is not an engineer. Akbar is the shortest. The tallest person is a doctor. The engineer’s height is the geometric mean of the heights of the other two. Then which of the following is true?**

1. Amar is a doctor and he is the tallest

2. Akbar is a professor and he is the tallest

3. Anthony is an engineer and he is shortest

4. Anthony is a doctor and he is the tallest

** Let X be a metric space and A c X be a connected set with at least two distinct points. Then the number of distinct points in A is**

1. 2. 2. more than2,but finite.

3. countably infinite. 4. uncountable.

**CSIR NET Mathematics Question Papers June 2012**

**CSIR NET Mathematics Answer keys June 2012
**

**CSIR NET Mathematics Question Papers December 2012**

**CSIR NET Mathematics Answer keys December 2012**

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