Download CSIR 2020 Mathematical Sciences 30th Nov 2020 Shift2 Question Paper

Question Paper Name : Mathematical Sciences 30th Nov 2020 Shift2

Subject Name: Mathematical Sciences

Creation Date : 2020-11-30 19:38:39

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Duration: 180

Number of Questions : 120

Total Marks : 200

Display Marks: Yes

Group Number: 1

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Group Id :

Group Maximum Duration:

Group Minimum Duration : 180

Show Attended Group? : No

Edit Attended Group? : No

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Break time: 0

Group Marks : 200

Is this Group for Examiner? : No

Part A General Aptitude

Section Id : 77203325

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Section Number: 1

Section type: Online

Number of Questions : Mandatory 20

Number of Questions to be attempted: 15

Section Marks : 30

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Mark As Answered Required? : Yes

Sub-Section Number: 1

Sub-Section Id : 77203349

Question Shuffling Allowed: Yes

Question Number : 1 Question Id : 772033996 Question Type : MCQ Option Shuffling : No Is Question Mandatory : No

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Correct Marks : 2 Wrong Marks : 0.5

A 3.1m x 2.2m x 2.1m block of granite is cut to have maximum number of 3m x 2m sized slabs having thickness of 4 cm. These slabs are used to make a 1.5m wide pavement. What is the maximum length (in meters) of pavement that can be made using these slabs?

1. 200
2. 220
3. 400

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4. 440

Options:

7720333981. 1

7720333982. 2

7720333983. 3

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7720333984. 4

Question Number : 2 Question Id : 772033997 Question Type : MCQ Option Shuffling : No Is Question Mandatory : No

Correct Marks : 2 Wrong Marks : 0.5

Milk rises rapidly at boiling point because

1. it becomes hotter than the vessel at boiling point

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2. its temperature rapidly increases at boiling point
3. its bulk density rapidly decreases and it becomes more buoyant at boiling point
4. its vapour pressure rapidly decreases at boiling point

Options:

7720333985. 1

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7720333986. 2

7720333987. 3

7720333988. 4

Question Number : 3 Question Id : 772033998 Question Type : MCQ Option Shuffling : No Is Question Mandatory : No

Correct Marks : 2 Wrong Marks : 0.5

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In an examination, each of the two brilliant students got 100 out of 100 and each of the remaining six students scored less than 12. There is no provision of getting negative marks. If N= Median score of the students and M = Mean score of the students, which of the following is true?

1. M > 2N
2. 3N/2 < M = 2N
3. N = M = 3N/2
4. From the above information nothing can be said about the relationship between the Median score of the students and the Mean score of the students.

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Options:

7720333989. 1

7720333990. 2

7720333991. 3

7720333992. 4

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Question Number : 4 Question Id : 772033999 Question Type : MCQ Option Shuffling : No Is Question Mandatory : No

Correct Marks : 2 Wrong Marks : 0.5

Along the common radial direction from the center of two concentric circles of radii 100 m and 150 m, point A is on the circumference of the inner circle and point B is on the circumference of the outer circle. The points A and B start moving on the respective circles with a speed of 8 m/s, at the same instant, but in opposite directions. After how many seconds, approximately, would they again cross each other along a common radial direction?

1. 31
2. 37

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3. 47
4. 53

Options:

7720333993. 1

7720333994. 2

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7720333995. 3

Question Number : 5 Question Id : 7720331000 Question Type : MCQ Option Shuffling : No Is Question Mandatory : No

Correct Marks : 2 Wrong Marks : 0.5

Which combination of square tiles shown below can produce the given pattern on the floor?

1. and

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2. and
3. and
4. and

Options:

7720333997. 1

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7720333998. 2

7720333999. 3

7720334000. 4

Question Number : 6 Question Id : 7720331001 Question Type : MCQ Option Shuffling : No Is Question Mandatory : No

Correct Marks : 2 Wrong Marks : 0.5

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Fifteen females participate in a singles badminton tournament. If a player is eliminated as soon as she loses a match, how many matches are required to determine the winner?

1. 30
2. 29
3. 15
4. 14

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Options:

7720334001. 1

7720334002. 2

7720334003. 3

7720334004. 4

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Question Number : 7 Question Id : 7720331002 Question Type : MCQ Option Shuffling : No Is Question Mandatory : No

Correct Marks : 2 Wrong Marks : 0.5

A box contains 3 white and 5 black balls. What is the probability of choosing 1 white and 1 black ball, if two balls are drawn at random, one by one, with replacement?

1. 15/64
2. 15/32

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3. 3/32
4. 3/28

Options:

7720334005. 1

7720334006. 2

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7720334007. 3

7720334008. 4

Question Number : 8 Question Id : 7720331003 Question Type : MCQ Option Shuffling : No Is Question Mandatory : No

Correct Marks : 2 Wrong Marks : 0.5

The first day of the year 2020 was a Wednesday. The first day of 2021 would be a

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1. Wednesday
2. Thursday
3. Friday
4. Monday

Options:

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7720334009. 1

7720334010. 2

7720334011. 3

7720334012. 4

Question Number : 9 Question Id : 7720331004 Question Type : MCQ Option Shuffling : No Is Question Mandatory : No

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Correct Marks : 2 Wrong Marks : 0.5

The shaded circles having diameter of 1, 0.5 and side square 1 cm. The ratio of shaded area in A and B is one. The ratio of shaded area in C and D would be

1. 75
2. 1
3. 25

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4. 5

Options:

7720334013. 1

7720334014. 2

7720334015. 3

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7720334016. 4

Question Number : 10 Question Id : 7720331005 Question Type : MCQ Option Shuffling : No Is Question Mandatory : No

Correct Marks : 2 Wrong Marks : 0.5

1. 75
2. 1

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3. 25
4. 5

Options:

7720334013. 1

7720334014. 2

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7720334015. 3

7720334016. 4

Question Number : 11 Question Id : 7720331006 Question Type : MCQ Option Shuffling : No Is Question Mandatory : No

Correct Marks : 2 Wrong Marks : 0.5

The coding genes form a tiny fraction of about 2% of the total human genome. If the total human genome is written on a pack of 50 cards, the number of cards corresponding to coding genes would be

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1. One card
2. Two cards
3. Three cards
4. Four cards

Options:

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7720334021. 1

7720334022. 2

7720334023. 3

7720334024. 4

Question Number : 12 Question Id : 7720331007 Question Type : MCQ Option Shuffling : No Is Question Mandatory : No

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Correct Marks : 2 Wrong Marks : 0.5

Four locations A, B, C and D are along a straight road. Distance between A and C is 30 km. From A, a bus starts at 8 am to reach B, and another bus from C starts at 8:30 am to reach D. The buses move away from A, in the same direction with speed of the first being double of the second. They meet at 9 am, at a place covering 80% of the respective distances they are to travel. Then what is the distance between B and D?

1. 5 km
2. 0 km
3. 5 km

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4. 5 km

Options:

7720334025. 1

7720334026. 2

7720334027. 3

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7720334028. 4

Question Number : 13 Question Id : 7720331008 Question Type : MCQ Option Shuffling : No Is Question Mandatory : No

Correct Marks : 2 Wrong Marks : 0.5

Probability of selection of Alex for a post is 8/11 and for Gafoor it is 5/14. The selection of one is independent of the other. What is the probability of selection of only one of them for the post?

1. 25/72

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2. 67/154
3. 87/154
4. 15/72

Options:

7720334029. 1

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7720334030. 2

7720334031. 3

7720334032. 4

Question Number : 14 Question Id : 7720331009 Question Type : MCQ Option Shuffling : No Is Question Mandatory : No

Correct Marks : 2 Wrong Marks : 0.5

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Suppose the standard deviation of the body temperatures of 17 persons measured in degrees Fahrenheit is 2.7. Which of the following is the standard deviation of the above 17 temperatures measured in degrees Celsius?

1. 5
2. 7
3. 5
4. 5

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Options:

7720334033. 1

7720334034. 2

7720334035. 3

7720334036. 4

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Question Number : 15 Question Id : 7720331010 Question Type : MCQ Option Shuffling : No Is Question Mandatory : No

Correct Marks : 2 Wrong Marks : 0.5

How many triangles one can draw by joining these dots?

1. 74
2. 76

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3. 78
4. 84

Options:

7720334037. 1

7720334038. 2

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7720334039. 3

7720334040. 4

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