CSIR NET JUNE 2014
GENERAL APTITUDES
1) Marks obtained by two students S1 and S2 in a four semester course are plotted in the following graph. Which of the following statements is true?
(a) S2 got higher marks than S1 in all four semesters
(b) Over four semesters, S1 improved by a higher percentage compared to S2
(c) Total marks of S1 and S2 are equal
(d) S1 and S2 did not get the same marks in any semester
3) How many digits are there in 2^17 × 3^2 × 5^14 × 7 ?
(a) 14
(b) 15
(c) 16
(d) 17
4) A man on the equator moves along 0o longitude up to 45o N. He then turns east and moves up to 90o E, and turns to the equator along 90o E. The distance covered in multiples of Earth's radius R is
(a) (√3 ÷ 4π) R
(b) ( π ÷ 2 + π ÷ 4√2) R
(c) (π ÷ 2 + π ÷ 2√2) R
(d) (π ÷ 4 + π ÷ √2) R
5) On a semi-circle of diameter 10m drawn on a horizontal ground are standing 4 boys A,B, C and D with distances AB = BC = CD. The length of the line segment joining A and B is
(a) 5m
(b) 6m
(c) 7m
(d) (5π)/3
6) What is the next number in the following sequence?
2,3,5,6,3,4,7,12,4,5,9 ...
(a) 10
(b) 20
(c) 13
(d) 16
7) The following sum is: 1 + 1 - 2 + 3 - 4 + 5 - 6 ...- 20 =?
(a) 10
(b) -10
(c) -11
(d) -9
8. You are given 100 verbs using which you have to form sentences containing at least one verb, without repeating the verbs, under the condition that the number of verbs (from this set of 100) in any two sentences should not be equal. The maximum number of sentences you can form is
(a) 10
(b) 13
(c) 14
(d) 100
9) A 4 x 4 magic square is given: How many 2 x 2 squares are there in it whose elements add up to 34?
(a) 6
(b) 9
(c) 4
(d) 5
10) To go from engine to the last coach of his train of length 200m, a man jumped from his train to another train moving on a parallel track in the opposite direction, waited till the last coach of his original train appeared and then jumped back. In how much time did he reach the last coach if the speed of each train was 60km/hr.?
(a) 5 s
(b) 6 s
(c) 10 s
(d) 12 s
11. November 9, 1994 was a Wednesday. Then which of the following is true?
(a) November 9, 1965 is a Wednesday and November 9, 1970 is a Wednesday.
(b) November 9, 1965 is not a Wednesday and November 9, 1970 is a Wednesday.
(c) November 9, 1965 is a Wednesday and November 9, 1970 is not a Wednesday.
(d) November 9, 1965 is not a Wednesday and November 9, 1970 is not a Wednesday.
12. Two identical cylinders of the same height as a bigger hollow cylinder were put vertically into the latter to fit exactly into it. The volume of the bigger cylinder is V. The volume of each of the smaller cylinder is
(a) V ÷ 8
(b) V ÷ 4
(c) V ÷ 2
(d) V
13. You get 20% returns on your investment annually, but also pay a 20% tax on the gain. At the end of 5 years, the net gain made by you (as percentage of the capital) is approximately
(a) 0
(b) 16
(c) 80
(d)100
14. Coordinates of a point in x, y, z space is (1, 2, 3). What would be the coordinates of its reflection in a mirror along the x, z plane?
(a) (-1,-2,-3)
(b) (1,-2,-3)
(c) (1,-2,3)
(d) (-1,2,3)
15. A cubic cavity of edge 20μm is filled with a fluid with a cubic solid of edge 2μm. What percent of the cavity volume is occupied by the fluid?
(a) 10.0
(b) 20.0
(c) 90.0
(d) 99.9
16. Find the missing number in the sequence?
61,52,63,94,,18,001,121
(a) 46
(b) 70
(c) 66
(d) 44
17. What is the length of the longest rod that can be put in a hemispherical bowl of radius 10 cm such that no end of the rod is outside the bowl? (Assume that the rod has negligible thickness.)
(a) 10√2
(b) 10√3
(c) 10√4
(d) 10√5
18) If a 4 digit year (e. g. 1927) is chosen randomly, what is the probability that it is NOT a leap year?
(a) 3 ÷ 4
(b) 1 ÷ 4
(c) < 1 ÷ 4
(d) > 3 ÷ 4
19) After giving 20% discount on the marked price to a customer, the seller's profit was 20%. Which of the following is true?
(a) Sale price = ((Marked price + Cost price))/2
(b) Sale price < ((Marked price + Cost price))/2
(c) (2(Marked price + Cost price))/3 > Sales price > ((Marked price + Cost price))/2
(d) Sale price > (2(Marked price + Cost price))/3
20) Three years ago, the difference in the ages of two brothers was 2 years. The sum of their present ages will double in 10 years. What is the present age of the elder brother?
(a) 6
(b) 11
(c) 7
(d) 9
ANSWER
1. Option ( b )
2. Option ( c )
3. Option (d)
4. Option (c)
5. Option (a)
6. Option (b)
7. Option (d)
8. Option (b)
9. Option (d)
10. Option ( b)
11. Option (b)
12. Option (b)
13. Option (c)
14. Option (c)
15. Option (d)
16. Option (a)
17. Option (c)
18. Option (d)
19. Option (b)
20. Option (b)
For CSIR NET 2015 paper click below
http://ajaytutorialsmathsandscience.blogspot.com/2016/06/csir-net-december-2015-mathematical.html
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