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CSIR NET JUNE 2015 MATHEMATICAL SCIENCE PART A

1. In each of the following groups of words is a hidden number, based on which you should arrange them in ascending order. Pick the right answer: 
A. Tinsel event 
B. Man in England 
C. Good height 
D. Last encounter

a) A,B,C,D
b) C,B,D,A
c) A,C,D,B
c) C,D,B,A

Answer   option b)



2. Let m and n be two positive integers such, that m + n + mn = 118 . Then the value of m + n is

not uniquely determined
18
20
22

Answer  option d)




3. AB is the diameter of a circle. The chord CD is perpendicular to AB intersecting it at P. If CP = 2 and PB = 1, the radius of the circle is

a) 1
b) 2.5
c) 2
d) 5


Answer  option b)




4. Jar W contains 40 white marbles and jar B contains 40 black marbles. Ten black marbles from B are transferred to W and mixed thoroughly. Now, ten randomly selected marbles from W are put back in Jar B to make 40 marbles in each jar. The number of black marbles in W

a) would be equal to the number of white marbles in B
b) would be more than the number of white marbles in B
c) would be less than the number of white marbles in B
d) cannot be determined from the information given

Answer option a)




5. Of three persons A, B and C, one always lies while the others always speak the truth. C asked A. “Do you always speak the truth, yes or no?” He said something that C could not hear. So C asked B. “what did A say?” B replied. “A said No” So, who is the liar?

a) A
b) B
c) C
d) Cannot be determined

Answer option b)




6) If aN ⇒ S 
eF ⇒ I 
gH ⇒ M 
then nS ⇒ ?

a) T
b) A
c) L
d) K

Answer  option a) 





Answer Option b)




8. What is angle x in the schematic diagram given?

a) 60
b) 50
c) 40
d) 30

Answer option d)



9. I bought a shirt at 10% discount and sold it to a friend at a loss of 10%. If the friend paid me Rs. 729.00 for the shirt, what was the undiscounted price of the shirt?

a) Rs. 900
b) Rs. 800
c) Rs 1000
d) Rs.911.25

Answer option a)



10. Consider 3 parallel strips of 10 m width running around the Earth, parallel to the equator; A1 at the Equator, A2 at the Tropic of Cancer and A3at the Arctic Circle. The order of the areas of the strips is

a) A1 < A2 < A3
b) A1 = A1 > A3
c) A1 > A1 = A3
d) A1 > A1 > A3

Answer  option d)



11. Starting from a point A you fly one mile south, then one mile east, then one mile north which brings you back to point A. Point A is NOT the north pole. Which of the following MUST be true?

a) You are in the Northern Hemisphere
b) You are in the Eastern Hemisphere
c) You are in the Western Hemisphere
d) You are in the Southern Hemisphere

Answer option d)



12. A 3m long car goes past a 4 m long truck at rest on the road. The speed of the car is 7 m/s. The time taken to go past is

a) 4/7 s
b) 1 s
c) 7/4 s
d) 10/7 s

 Answer option b)



13. How many non-negative integers less than 10,000 are there such that the sum of the digits of the number is divisible by three?

a) 1112
b) 2213
c) 2223
d) 3334

 Answer option d) 



14. Two ants, initially at diametrically opposite points A and B on a circular ring of radius R, start crawling towards each other. The speed of the one at A is half that of the one at B. The point at which they meet is at a straight line distance of

a) R from A
b) 3R/2 from A
c) R from B
d) 3R/2 from B

Answer option a)




15. Two plane mirrors facing each other are kept at 60° to each other. A point is located on the angle bisector. The number of images of the point is

a) 6
b) 3
c) 5
d)Infinite

Answer  option c)



16)A pyramid shaped toy is made by tightly placing cubic blocks of 1 × 1 × 1 cm3.The base of the toy is a square 4×4 cm2. The width of each step is 0.5 cm. How many blocks are required to make the toy?

a) 30
b) 34
c) 36
d) 40

Answer  option a)




17. Suppose 
1) x = 4 
2) Then x - 4 = x2- 42(as both sides are zero) 
3) Therefore (x - 4) = (x - 4) (x + 4) 
Cancelling (x - 4) from both sides 
4) 1 = (x + 4) 
5) Then x = -3 
Which is the wrong step?

a) 1 to 2
b) 2 to 3
c) 3 to 4
d) 4 to 5

Answer option c)




18. Based on the graph, which of the following statements is NOT true?

a) Number of gold medals increased whenever total number of medals increased
b) Percentage increase in gold medals in 2010 over 2006 is more than the corresponding increase in total medals
c) Every time non-gold medals together account for more than 50% of the total medals
d) Percentage increase in gold medals in 2010 over 2006 is more than the corresponding increase in 2002 over 1998


Answer option d)





19. Information in DNA is in the form of sequence of 4 bases namely A, T, G and C. The proportion of G is the same as that of C, and that of A is the same as that of T. Which of the following strands of DNA will potentially have maximum diversity (i.e., maximum information content per base)?

a) length 1000 bases with 10% G
b) length 2000 bases with 10% A
c) length 2000 bases with 40% T
d) length 1000 bases with 25% C

Answer option d)  



20. A single celled spherical organism contains 70% water by volume. If it loses 10% of its water content, how much would its surface area change by approximately?

a) 3%
b) 5%
c) 6%
d) 7%

Answer option b)


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