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Joint CSIR-UGC NET Junior Research Fellowship & Eligibility for Lectureship

GENERAL APTITUDE Part A (Common)

l Specialised

Study & Practice Material Prepared by Experts l Previous Years’ Papers Solved

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Syllabus for Part-A 

Part ‘A’ of the question paper shall be common to all subjects.



This part shall carry 20 questions pertaining to General Science, Quantitative Reasoning & Analysis and Research Aptitude. The candidates shall be required to answer any 15 questions. Each question shall be of two marks. The total marks allocated to this section shall be 30 out of 200.



There will be negative marking for wrong answers, which shall be @25%.

(iii)

CONTENTS Previous Years’ Paper, June 2021

(Held in Jan/Feb 2022)

............ 1-28

Previous Years’ Paper, November 2020 ................................. 1-8 

QUANTITATIVE REASONING .......................................... 1-144 Series Formation; Puzzles; Venn Diagram; Analogy; Odd One Out; Coding and Decoding; Direction Sense; Calender, Clock, Time Distance; Analysis of Arithmetical Operations on Artificial Values (Quantitative Comparison); Assertion and Reason.



NON-VERBAL REASONING ......................................... 145-191 Series Formation; Classification or Odd-One Out.



ANALYTICAL AND NUMERICAL ABILITY .................. 192-291 Simplification; Powers and Roots Squares, Cube, Indices, Surds Squaring; L.C.M. and H.C.F.; Ratio and Proportion; Percentage; Average and Age Related Problems; Profit & Loss; Simple Interest; Compound Interest; Alligation or Mixture; Time & Work; Time & Distance Streams; Races and Games; Area and Perimeter; Volume and Surface Area; Height and Distance; Permutation and Combination.



GRAPHICAL ANALYSIS................................................ 292-312 Exercise.



GENERAL SCIENCE........................................................... 1-84 Physics; Chemistry; Biology; Everyday Science; Multiple Choice Questions; Answers.



RESEARCH APTITUDE ...................................................... 1-40 Research Methodology; Types of Research; Research Design; Sampling; Data Collection, Data Processing and Data Analysis; Problem Formulation; Multiple Choice Questions; Answers.

(iv)

1 Previous Paper (Solved)

Junior Research Fellowship & Eligibility for Lectureship

Joint CSIR-UGC (NET) Earth Sciences, June-2021 (Online exam held on 29-01-2022 conducted by NTA)

PART-A C. increases non-linearly with x, but decreases linearly with y. D. increases non-linearly with x, but decreases non-linearly with y.

1. A 10 km long and 1 m wide sheet of thickness 0.1 mm is rolled along the length parallel to its width forming a perfectly compact solid cylinder. The diameter of the cylinder in meter is approximately: A. 1000 B. 1  1 / 2 D. 2 C. (2)1/2

4. Area of a circle which circumscribes a regular hexagon with side a is A. 3 3 a 2 2

B. 6a 2

C. a2

D. 3 a 2 4

1 / 2

2. The digit at the unit’s place of (489 86 – 35163) is: B. 5 A. 8 C. 2 D. 0

5. There are three fathers and six sons in a room. If every father’s son(s) and every son’s father are present, then the minimum number of individuals in the room are: A. 5 B. 7 C. 8 D. 9

3. The variation of w against x is shown in the figure for selected values of parameter y.

6. The linear correlation coefficient between the variable X and Y in the given figure is closest to:

The graph indicates that w A. increases linearly with x and y. B. increases non-linearly with x, but linearly with y.

A. 0 C. –1 1

B. 1 1 D. 2 (830) CSIR (Gen. Apt.) June, 2021—1

(830) CSIR (Gen. Apt.) June, 2021—1-II

2 7. Which one of the following plots does NOT show cumulative runs scored in a T-20 cricket match?

A.

B.

A. B. C. D.

Length Height Neither length nor height Thickness

9. The probability that a student will attempt a certain question in an exam is 1/2. The probability that none of the 5 students writing the exam independently will attempt that question is: 1 A. 2 B. The same as that of all the 5 students attempting this question. 1 C. 4 1 D. 16 10. Out of 2000 people, 300 play volleyball, 500 play cricket whereas 200 play both volleyball and cricket. How many people do NOT play either of the games? A. 1000 B. 1100 C. 1200 D. 1400

C.

11. How many integers in the set {1,2, 3,……, 100} have an odd number of divisors? A. 27 B. 10 D. 12 C. 36 12. Three identical balls of radius r are to be tightly packed in a triangular box as shown. What is the area of the triangular base of box?

D.







2 C. 2 3 2  3 r

8. The Sun is at an elevation of 45° on one side of a vertical wall. The wall casts a rectangular shadow on the ground. Which of the following dimensions of the wall does the area of the shadow not depend on?



2 B. 2 3 1  3 r

A. 2 3r 2

D. 3r2

13. The average yield of four different crops, A, B, C and D is shown in the bar chart along with 2 (standard deviation) variation shown as error bars.

3 17. A store sells three packs of groceries as follows: Pack

The crop with the highest per cent variation in the yield is: B. B A. A C. C D. D 14. The average heights of boys and girls in a class are 165 cm and 150 cm, respectively. If the average height of the entire class is 160 cm then the ratio of the number of girls to the number of boys in the class is: A. 1 : 3 B. 1 : 2 D. 2 : 3 C. 1.65 : 1.6 15. Choose the option that makes the following statement correct: “This sentence contains the letter e ……. times”. A. Seven B. Eight C. Nine D. Ten 16. If A calls both B and C liars and B calls C a liar, then which of the following is FALSE? A. A is a liar B. Exactly one of B and C is a liar C. Exactly one among A, B and C is a liar D. Exactly two among A, B and C are liars

Rice (kg)

Wheat (kg)

Pulses (kg)

Sugar (kg)

Prices (Rs.)

A

3

4

0.5

0.5

400

B

4

3

1

1

500

C

5

4

1

0.5

600

What is the largest excess of rice over wheat that can be purchased with ` 2800 in hand, if only whole packs can be bought? A. 7 kg B. 5 kg C. 4 kg D. 3 kg 18. An appropriate representation of the categories VEGETABLES, ROOTS, FRUITS and CARROTS is: A.

B.

C.

D.

19. In a class of 60 students, rank of Amar is double that of Akbar, three times that of Amita and seven times that of Anthony. Assuming that all ranks are distinct, the sum of the ranks of Amar, Akbar and Anthony is: A. 41 B. 58 C. 69 D. 83 20. How many four-digit ATM PINs which read the same from left to right and right to left are possible? B. 72 A. 20 C. 82 D. 100

ANSWERS 1 D 11 B

2 D 12 C

3 D 13 B

4 C 14 B

5 B 15 C

6 A 16 C

7 D 17 B

8 D 18 D

9 B 19 C

10 D 20 D

4 Previous Paper (Solved)

Junior Research Fellowship & Eligibility for Lectureship

Joint CSIR-UGC (NET) Physical Sciences, June-2021 (Online exam held on 15-02-2022 conducted by NTA)

PART-A 5. Identical balls are tightly arranged in the shape of an equilateral triangle with each side containing n balls. How many balls are there in the arrangement? B. n(n + 1)/2 A. n 2 /2 C. n(n – 1)/2 D. (n + 1)2/2

1. An inverted cone is filled with water at a constant rate. The volume of water inside the cone as a function of time is represented by the curve:

A. A C. C

6. A shopkeeper has a faulty pan balance with a zero offset. When an object is placed in the left plan it is balanced by a standard 100 g weight. When it is placed in the right pan it is balanced by a standard 80 g weight. What is the actual weight of the object? A. 90 g B. 88.88 g D. 85 g C. 95 g

B. B D. D

2. A spacecraft flies at a constant height R above a planet of radius R. At the instant the spacecraft is over the north pole, the lowest latitude visible from the spacecraft is: A. 0° (equator) B. 30° N C. 45° N D. 60° N

7. A and B start from the same point in opposite directions along a circular track simultaneously. Speed of B is 2/3rd that of A. How many times will A and B cross each other before meeting at the starting point? A. 2 B. 3 C. 5 D. 4

3. An experiment consists of tossing a coin 20 times. Such an experiment is performed 50 times. The number of heads and the number of tails in each experiment are noted. What is the correlation coefficient between the two? A. –1 B. –20/50 C. 20/50 D. 1 4. Which of these smallest mean? Group A : 1, 2, Group B : 1, 2, Group C : 1, 2, Group D : 1, 3, A. A C. C

8. Consider a solid cube of side 5 units. After painting, it is cut into cubes of 1 unit. Find the probability that a randomly chosen unit cube has only one side painted. A. 56/125 B. 36/125 D. 54/125 C. 44/125

groups of numbers has the 3, 3, 2, 3,

4, 4, 4, 4,

5, 6, 7, 6, 6, 7, 5, 6, 7, 5, 6, 7, B. B D. D

8, 8, 8, 9,

9. How many integers in the set {1, 2, 3, ......., 100} have exactly 3 divisors? A. 4 B. 12 C. 5 D. 9

9 9 9 9

10. The arithmetic and geometric means of two numbers are 65 and 25, respectively. What are these two numbers? 1

5 A. 110, 20 C. 120, 10

B. 115, 15 D. 125, 5

11. Shyam spent half of his money and was left with as many as he had rupees before, but with half as many rupees as he had paise before. Which of the following is a possible amount of money he is left with? A. 49 rupees and 98 paise B. 49 rupees and 99 paise C. 99 rupees and 99 paise D. 99 rupees and 98 paise 12. A cylindrical road roller having a diameter of 1.5 m moves at a speed of 3 km/h while levelling a road. How much length of the road will be levelled in 45 minutes? B. 0.375 km A. 2.25 km C. 0.75 km D. 1.5 km 13. An intravenous fluid is given to a child of 7.5 kg, at the rate of 20 drop/minute. The prescribed dose of the fluid is 40 ml per kg of body weight. If the volume of a drop is 0.05 ml, how many hours are needed to complete the dose? A. 2 B. 3 C. 4 D. 5 14. A cousin is a non-sibling with a common ancestor. If there is exactly one pair of siblings in a group of 5 persons, then the maximum possible number of pairs of cousins in the group is: A. 3 B. 6 C. 9 D. 10 15. In a tournament with 8 teams, a win fetches 3 points and a draw, 1. After all teams have played three matches each, total number of points earned by all teams put together must lie between A. 24 and 36 B. 24 and 32 C. 12 and 24 D. 32 and 48 16. An appropriate diagram to represent the relations between the categories KEYBOARD, HARDWARE, OPERATING SYSTEM and CPU is:

A.

B.

C.

D.

17. Trade figures and populations in appropriate units in a certain year are given for 7 countries.

A

B Export

C

E

D Import

F

G

Population

If countries are ranked according to the difference in their per capita exports over import, then the best and worst ranking countries are respectively B. A and E A. C and A C. C and B D. A and F 18. At least two among three persons A, B and C are truthful. If A calls B a liar and if B calls C a liar, then which of the following is FALSE? B. B is truthful A. A is truthful C. C is truthful D. At least one is a liar 19. The maximum area of a right-angled triangle inscribed in a circle of radius r is: A. 2 r2 C.

2r 2

r2 2 2 D. r B.

20. If we replace the mathematical operations in the expression (11 + 4 – 2) ÷ 24 × 6 as given in the table:

Operation + – × ÷ Replaced by – × ÷ + then its new value is: B. 1 A. 23/6 C. 18 D. 7

7 L1 × W = L2 × 80

80 L1 = W L2 From equations (i) and (ii), we get, 

...(ii)

W 80 = 100 W  W2 = 80 × 100 = 8000  W  90 g Hence, actual weight of the object is 90 g.

 Starting point before meeting = 4 Therefore, before meeting at starting point = 4 times. 8. (D): Total number of cubes in first layer = 25 5 1

2

3 7

6 11

4

10

5 15 17 18 19 20 21 22 23 24 25

12 16

5 9

8

13

14

2 speed of A 3

7. (D): Given, speed of B =

B

A

3 km length B A



Speed of B 2 = Speed of A 3



Speed of B = 2 km/hr and Speed of A = 3 km/hr Let journey will be completed in 3 hour journey of B = 3 × 2 = 6 km  and journey of A = 3 × 3 = 9 km Suppose they meet at t times then, 2t + 3t = 3  5t = 3 

t=

3 hour 5

Thus, they meet at every time at  1 meeting in

3 hour 5



1 meeting =

1 3/5



3 meeting =

3 5 3/5

3 hour 5

Volume of cube (bigger) V13 = (5)3 = 125 Volume of smaller cube V23 = (1)3 = 1 From equations (i) & (ii), we get,  V1   V 

3

...(i) ...(ii)

125 = 125 1 2 There are number of pointed cubes in face 1=9 Number of pointed cubes in face 2 = 9 Number of pointed cubes in face 3 = 9 Number of pointed cubes in face 4 = 9 Number of pointed cubes in face 5 = 9 Number of pointed cubes in face 6 = 9  Total number of cubes in 6 faces = 9 × 6 = 54 54 .  Probability = 125 9. (A): Factors of 4  1, 4 and 2 Factors of 9  1, 9 and 3 Factors of 25  1, 25 and 5 Factors of 49  1, 49 and 7

=

8 Hence, number of integers have exactly 3 divisors. 1  × 81  × 4  3 divisors 100  × 9  3 divisors 16  × 25  3 divisors 36  × 49  3 divisors 64  × Total number of 3 divisors = 4 Therefore, there are 4 integers in the set have exactly 3 divisors. 10. (D): Given, AM = 65; GM = 25 Let numbers be a and b. ab Arithmetic mean, AM = 2 ab 65 =  2 a + b = 130  Now, Geometric mean, GM = 25  ab  Applying formula, (a + b)2 (130)2  a2 + b2 and (a – b)2  (a – b)2

= ab = 625

11. (B): Let Shyam has x rupees and y paise

y   According to question,  x   rupees  100  and



x y y x  =  2 200 2 100



x x y y – = – 2 100 2 200



50 x – x 100 y – y = 100 200



 ...(i)

ab ...(ii)

= a2 + b2 + 2ab = a2 + b2 + 2 × 625 = 16900 – 1250 = 15650 = a2 + b2 – 2ab = 15650 – 2 × 625 = 15650 – 1250 = 14400  a – b = 120 ...(iii) From equations (i) and (iii), we get, a + b = 130 a – b = 120 2a = 250  a = 125 and a + b = 130 125 + b = 130  b = 130 – 125 = 5. Hence, numbers are 125 and 5.

x y 1 y   x   = 2  200 2 100

49x =

99 y 2

x 99 = y 98

x = 99 rupees and y = 98 paise Since, he had half as rupees = 49 rupees and 99 paise Thus, possible amount of money he is left with = 49 rupees and 99 paise. 12. (A): Given, speed of roller = 3 km/hr Time = 45 minutes As, or

speed =

Distance Time

Distance = Speed × Time = 3

45 60

3 9  = 2.25 km 4 4 Thus, length of road is 2.25 km. = 3

13. (D): Here, 1 kg  40 ml  7.5 kg  40 × 7.5 ml  1 minute  20 drops 1 minute (volume in drops) = 20 × 0.05

10 Previous Paper (Solved)

Junior Research Fellowship & Eligibility for Lectureship

Joint CSIR-UGC (NET) Mathematical Sciences, June-2021 (Online exam held on 16-02-2022 conducted by NTA)

PART-A 1. The number of dates between 1st January 2000 and 31st December 2020 when written in the format DDMMYYYY that read the same from left to right and right to left (e.g. 12th February 2021) is: B. 7 A. 6 C. 20 D. 21

5. Six indistinguishable balls are to be distributed amongst A, B and C, such that each gets at least one. Then the number of ways to make this distribution is: A. 6 B. 10 C. 18 D. 15

2. A book has 40 pages and each page has x lines. If the number of lines were reduced by 2 in each page, the number of pages would increase by 10 for the identical text. What is the value of x? A. 7 B. 10 C. 20 D. 30

6. The graph shows the day-on-day changes in a certain index.

3. Section A has 24 students, if one student of this section is exchanged for another in section B, then the average mark of A is increased by 1.25, while that of B reduced by 1. The number of students in section B is: A. 16 B. 20 C. 25 D. 30

Which of the following is the correct graph of the rate of change of the index?

A.

4. Two windows of a building are exactly one above the other and their lower edges are 2 m and 4 m above the ground. The angle of elevation of the bird from the lower edge of the lower window is 60° and that from the lower edge of the upper window is 30°. How high is the bird above the ground? A. 5 m B. 8 m C. 10 m D. 15 m

B.

C.

D. 1

11 7. If all the planets in our solar system were to move in the same plane, it would necessarily imply that: A. The Sun is at the center of the solar system B. The visible planets will appear aligned along a straight line in the sky as seen from the earth C. Motion of planets is governed by Newton's law of gravity D. The radii of the orbits of the planets are in harmonic progression 8. A and B have coins of ` 1, ` 2, ` 5 and ` 10, in the ratio 4 : 3 : 6 : 2 and 3 : 5 : 7 : 3, respectively. A has ` 6 more than B. Which of the following can be the number of coins with A and B, respectively? A. 42, 36 B. 45, 54 D. 60, 72 C. 60, 54 9. A piece in a board game starts at the centre of the board having 5 × 5 squares. The piece can be moved one square horizontally or vertically in one move. If all its moves are random, the chance that it will be in one of the outer squares at the end of 2 move is: A. 1/4 B. 2/3 D. 1/2 C. 16/25 10. The figure shows the result of an experiment in which cells of a certain bacterium were grown in different nutrient concentrations while keeping all other paramters constant. Which of the following inferences is correct?

C. Cell abundance was limited by the availability of nutrients but a high nutrient concentration seems toxic for the bacteria. D. Cell abundance decreased rapidly once nutrient concentration reached 5  mol L–1 11. Which of the following figures matches exactly the figure below, but for orientation?

A.

B.

C.

D.

12. An experiment is done to count the number of small grains that make up a level scoop, taking adequate precautions. If the measurements are repeated several times, which of the following frequency distributions is the most unlikely to occur? A.

B.

C.

A. Nutrients do not have any role in cell growth. B. There is a linear increase in cell abundance at low nutrient concentrations.

D.

About the Book

Book for Previous Years' & Practice Test Papers (Part-A)

The present mentoring book of GENERAL APTITUDE is based on the latest pattern of Joint CSIR-UGC NET Part A (Common) for JRF and Lectureship positions.

Salient Features of the Book: To enable you to be well-conversant with the subject-matter and the exam-pattern, the book is well-equipped with Adequate Study Material and Solved Previous Years’ Papers. Book Code: R-830 l Well-designed, reader-friendly study material and ample amount of ISBN: 978-81-7812-549-7 Multiple Choice Question-Answers are provided in the book for the purpose of your Study and Reference. l Intensive Practice of numerous questions, modelled on Previous Years’ Papers, will immensely help you Sharpen your Problem Solving Skills and face the Exam Confidently. While the specialised study material of this book is aimed to prepare you for the exam, your own study and practice with this, will definitely ensure you success in your pursuit.

l

OTHER SUBJECT BOOKS OF JOINT CSIR-UGC NET

Book Code: R-1228 ISBN: 978-81-7812-970-9

Book Code: R-1277 ISBN: 978-81-7812-978-5

Book Code: R-754 ISBN: 978-93-5012-704-9

Book Code: R-159 ISBN: 978-93-5012-573-1

Book Code: R-445 ISBN: 978-93-86845-45-0

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