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Question Paper Name:

Chemical Sciences 30th Nov 2020 Shift 1

Subject Name:

Chemical Sciences

Creation Date:

2020-11-30 15:59:21

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Duration:

180

Number of Questions:

120

Total Marks:

200

Section: Part A General Aptitude

Number of Questions:

20

Number of Questions to be attempted:

15

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Section Marks:

30

Question Number: 1

Single-grain density and bulk density of four varieties of grains are given in the table. If we take 1 kg of each of these, which one will have the largest volume?

1. Rice
2. Wheat
3. Millet

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4. Maize

Question Number: 2

What will be the difference in mass (in g) of each packet containing 500 sheets of 80 GSM and 70 GSM papers of size 20 cm x 30 cm? (GSM = g/m²)

1. 200
2. 2000
3. 300

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4. 3000

Question Number: 3

Suppose there are 6 non-stop flights from Chennai to Mumbai in the morning and 4 non-stop flights from Mumbai to Goa in the evening. In how many ways can one fly from Chennai to Goa via Mumbai using these flights in a day?

1. 10
2. 24
3. 46

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4. 64

Question Number: 4

A pack contains 6 cards numbered 1, 2, 3, 4, 5 and 6. Four cards are drawn one by one at random without replacement. What is the probability that the card numbered 1 is drawn in the selected four cards?

1. 4/6
2. 1 - 4/6
3. 1/24

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4. 4/10

Question Number: 5

The present age of a father is the square of the age of his son. After six years, the age of the father would be 3/2 times the age of the son. The present age of the father is

1. 36
2. 42
3. 48

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4. 54

Question Number: 6

In an exam the average marks for the class was 60, the average of marks of the students who passed was 70 and those failed was 30. What is the percentage of the students of the class who failed?

1. 25
2. 40
3. 60

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4. 75

Question Number: 7

A bug moves in a straight line from a point A₀ to a point A₁ 1 cm away. It then turns by an angle of 90° and moves straight another 1 cm to reach a point A₂. Then it moves 1 cm perpendicular to the line joining A₀ to A₂ to a point A₃. It continues this way as shown, moving 1cm every time till it reaches a point A₂₅. What is the straight line distance from A₀ to A₂₅?

1. 3 cm
2. √5 cm
3. 5 cm

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4. 16 cm

Question Number: 8

A worker is asked to arrange 1000 identical square tiles into a rectangular pattern and paint only the tiles forming the border. What should be the dimension of the rectangular pattern he arranges, in order to use the minimum amount of paint?

1. 50 tiles x 20 tiles
2. 8 tiles x 125 tiles
3. 200 tiles x 5 tiles

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4. 40 tiles x 25 tiles

Question Number: 9

There are 150 vehicles in a parking place. Each vehicle is either a bike or a car, and is either red or green. Sixty vehicles are red, and 100 vehicles are cars. If there are 20 green bikes, how many red cars are there?

1. 70
2. 30
3. 40

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4. 50

Question Number: 10

A
2
1
0

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Which one of the following graphs represents the cumulative area under the plot shown?

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Question Number: 11

The number of times the minute hand and the hour hand, in a clock, are exactly above each other (i.e. angle between them is zero) from 1 am of a day to 1 am on the next day is

1. 21
2. 22

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3. 23
4. 24

Question Number: 12

The graph shows the relationship between smoking intensity and the probability of getting lung cancer in a population. Which one of the following inferences is supported by the study?

1. Smoking always causes lung cancer.
2. People have healthy lungs if they don't smoke.

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3. Smoking intensity is not directly proportional to the probability of getting lung cancer.
4. High intensity smokers will get lung cancer.

Question Number: 13

The circles in A have diameters of 1, 0.5, 0.25 and 0.125 cm inside square of side 1cm as shown in the figure.The ratio of shaded area in A and B is one.
The ratio of shaded area in C and D would be

1. 1

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2. 1.25
3. 1.5
4. 1.75

Question Number: 14

How many triangles are there in the figure?

1. 35

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2. 38
3. 39
4. 48

Question Number: 15

Each person in a group of teachers and students is given the same number of chocolates as the number of students. If 4 more students are added then in order to have the same number of chocolates per person as earlier, 28 more chocolates are needed. The total number of students now is

1. 7

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2. 11
3. 13
4. 15

Question Number: 16

A ball is moving with a constant speed in a vertical plane. The plane is illuminated from the top so that the shadow of the ball on the ground oscillates. The maximum probability of finding the shadow of the ball is at

1. the extreme points.

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2. the mean point.
3. half the distance from the mean point.
4. one third the distance from the mean point.

Question Number: 17

Five concentric, adjacent, semi-circular running tracks, each of mean length 100 m and width 2.5 m are marked on a field. If the angle subtended by inner track is 1.00 rad, the angle subtended by the outermost track is

1. 0.90 rad

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2. 0.91 rad
3. 0.88 rad
4. 0.98 rad

Question Number: 18

In a legislative assembly of 250 members, political parties A, B, C, D and E got 100, 70, 48, 15, 7 seats, respectively, while 10 seats were won by the

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