1. 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?
a) 18
b) 24
c) 26
d) Cannot be found from the above information
Answer option a)
2. A vendor sells articles having a cost price of Rs.100 each. He sells these articles at a premium price during first eight months, and at a sale price, which is half of the premium price, during next four months. He makes a net profit of 20% at the end of the year. Assuming that equal numbers of articles are sold each month, what is the premium price of the article?
a) 122
b) 144
c) 150
d) 160
Answer option b)
3. The statement: “The father of my son is the only child of your parents”
a) can never be true
b) is true in only one type of relation
c) can be true for more than one type of relations
d) can be true only in a polygamous family
Answer option b)
4. “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?
a) X
b) II
c) III
d) IX
Answer option d)
5. Decode the below code
a) GENT STUDENTS CAUSE LITTLE HEART BURNS.
b) STUDENTS ARE INTELLIGENT BUT PROBLEM IS NOT SOLVABLE.
c) THIS PROBLEM IS UNSOLVABLE BY ANY STUDENT.
d) THIS PROBLEM IS SOLVABLE BY INTELLIGENT STUDENTS.
Answer option d)
6. The missing number is
a) -19
b) -5
c) 9
d) -9
7. The minimum number of straight lines required to connect the nine points without lifting the pen or retracing is
a) 3
b) 4
c) 5
d) 6
Answer option b)
8. The number of diagonals of a convex dodecagon (12-gon) is
a) 66
b) 54
c)55
d) 60
Answer option c)
10. How many digits are there in 316 when it is expressed in the decimal form?
Answer option d)

Answer option a)
Answer option b)
Answer option d)
14) A wheel barrow with unit spacing between its wheels is pushed along a semi-circular path of mean radius 10. The difference between distances covered by the inner and outer wheels is
a) 0
b) 10
c) π
d) 2π
Answer option c)
15. Write d = 1 degree, r = 1 radian and g = 1 grad. Then which of the following is true? (100 grad = a right angle)
a) cos d < cos r < cos g
b) cos r < cos g < cos d
c) cos r < cos d < cos g
d) cos g < cos d < cos r
Answer option c)
16. Three boxes are coloured red, blue and green and so are three balls. In how many ways can one put the balls one in each box such that no ball goes into the box of its own colour?
a) 1
b) 2
c) 3
d) 4
Answer option b)
17. A circle drawn in the x-y co-ordinate plane passes through the origin and has chords of lengths 8 units and 7 units on the x and y axes, respectively. The coordinates of its centre are
a) (8, 7)
b) (-8, 7)
c) (-4, 3.5)
d) (4, 3.5)
Answer option c)
18. Most Indian tropical fruit trees produce fruits in April-May. The best possible explanation for this is
a) optimum water availability for fruit production.
b) the heat allows quicker ripening of fruit.
c) animals have no other source of food in summer.
d) the impending monsoon provides optimum conditions for propagation.
Answer option d)
19. Three circles of equal diameters are placed such that their centres make an equilateral triangle as in the figure. Within each circle, 50 points are randomly scattered. The frequency distribution of distances between all possible pairs of points will look as
Answer option c)
20. One is required to tile a plane with congruent regular polygons. With which of the following polygon is this possible?
a) 6-gon
b) 8-gon
c) 10-gon
d) 12-gon
Answer option a)
Click below for CSIR NET JUNE 2015 MATHEMATICAL SCIENCES PART A
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a) 18
b) 24
c) 26
d) Cannot be found from the above information
Answer option a)
2. A vendor sells articles having a cost price of Rs.100 each. He sells these articles at a premium price during first eight months, and at a sale price, which is half of the premium price, during next four months. He makes a net profit of 20% at the end of the year. Assuming that equal numbers of articles are sold each month, what is the premium price of the article?
a) 122
b) 144
c) 150
d) 160
Answer option b)
3. The statement: “The father of my son is the only child of your parents”
a) can never be true
b) is true in only one type of relation
c) can be true for more than one type of relations
d) can be true only in a polygamous family
Answer option b)
4. “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?
a) X
b) II
c) III
d) IX
Answer option d)
5. Decode the below code
a) GENT STUDENTS CAUSE LITTLE HEART BURNS.
b) STUDENTS ARE INTELLIGENT BUT PROBLEM IS NOT SOLVABLE.
c) THIS PROBLEM IS UNSOLVABLE BY ANY STUDENT.
d) THIS PROBLEM IS SOLVABLE BY INTELLIGENT STUDENTS.
Answer option d)
6. The missing number is
a) -19
b) -5
c) 9
d) -9
Answer option a)
7. The minimum number of straight lines required to connect the nine points without lifting the pen or retracing is
a) 3
b) 4
c) 5
d) 6
8. The number of diagonals of a convex dodecagon (12-gon) is
a) 66
b) 54
c)55
d) 60
Answer option b)
Answer option c)
10. How many digits are there in 316 when it is expressed in the decimal form?
Three
Six
Seven
Eight

Answer option a)
Answer option b)
Answer option d)
14) A wheel barrow with unit spacing between its wheels is pushed along a semi-circular path of mean radius 10. The difference between distances covered by the inner and outer wheels is
a) 0
b) 10
c) π
d) 2π
Answer option c)
15. Write d = 1 degree, r = 1 radian and g = 1 grad. Then which of the following is true? (100 grad = a right angle)
a) cos d < cos r < cos g
b) cos r < cos g < cos d
c) cos r < cos d < cos g
d) cos g < cos d < cos r
Answer option c)
16. Three boxes are coloured red, blue and green and so are three balls. In how many ways can one put the balls one in each box such that no ball goes into the box of its own colour?
a) 1
b) 2
c) 3
d) 4
Answer option b)
17. A circle drawn in the x-y co-ordinate plane passes through the origin and has chords of lengths 8 units and 7 units on the x and y axes, respectively. The coordinates of its centre are
a) (8, 7)
b) (-8, 7)
c) (-4, 3.5)
d) (4, 3.5)
Answer option c)
18. Most Indian tropical fruit trees produce fruits in April-May. The best possible explanation for this is
a) optimum water availability for fruit production.
b) the heat allows quicker ripening of fruit.
c) animals have no other source of food in summer.
d) the impending monsoon provides optimum conditions for propagation.
Answer option d)
19. Three circles of equal diameters are placed such that their centres make an equilateral triangle as in the figure. Within each circle, 50 points are randomly scattered. The frequency distribution of distances between all possible pairs of points will look as
Answer option c)
20. One is required to tile a plane with congruent regular polygons. With which of the following polygon is this possible?
a) 6-gon
b) 8-gon
c) 10-gon
d) 12-gon
Answer option a)
Click below for CSIR NET JUNE 2015 MATHEMATICAL SCIENCES PART A
http://ajaytutorials.blogspot.in/2016/06/csir-net-june-2015-mathematical-science.html?m=1
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