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

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## 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