CSIR NET 2015 Mathematical Science Question Paper (20-Dec-2015)

Question 1

"The clue is hidden in this statement", read the note handed to Sherlock by Moriarty, who hid the stolen treasure in one of the ten pillars. Which pillar is it?

Accepted Answer

IX

Answer

X

Answer

II

Answer

III

Question 2

Suppose three meetings of a group of professors were arranged in Mumbai, Delhi and Chennai. Each professor of the group attended exactly two meetings. 21 professors attended Mumbai meeting, 27 attended Delhi meeting and 30 attended Chennai meeting. How many of them attended both the Chennai and Delhi meetings?

Accepted Answer

18

Answer

24

Answer

26

Answer

Cannot be found from the above information

Question 3

The probability that a ticketless traveler is caught during a trip is $0.1$. If the traveler makes 4 trips , the probability that he/she will be caught during at least one of the trips is:

Accepted Answer

$1 - (0.9)^4$

Answer

$(1 - 0.9)^4$

Answer

$1 - (1 - 0.9)^4$

Answer

$(0.9)^4$

Question 4

The minimum number of straight lines required to connect the nine points above without lifting the pen or retracing is

Accepted Answer

4

Answer

3

Answer

5

Answer

6

Question 5

Let A, B be the ends of the longest diagonal of the unit cube. The length of the shortest path from A to B along the surface is

Accepted Answer

$\sqrt{5}$

Answer

$\sqrt{3}$

Answer

$1 + \sqrt{2}$

Answer

3

CSIR NET 2015 Mathematical Science Question Paper (20-Dec-2015)

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