Question Paper Name: Mathematical Sciences 15th December 2019 Shift
Subject Name: Mathematical Sciences
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Creation Date: 2019-12-15 19:00:21
Duration: 180
Total Marks: 200
Display Marks: Yes
Mathematical Sciences
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Group Number : 1
Group Id : 18798015
Group Maximum Duration : 0
Group Minimum Duration : 180
Revisit allowed for view?: No
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Revisit allowed for edit?: No
Break time: 0
Group Marks: 200
Part A Mathematical Sciences
Section Id : 18798043
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Section Number : 1
Section type : Online
Mandatory or Optional: Mandatory
Number of Questions: 30
Number of Questions to be attempted: 30
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Section Marks: 30
Display Number Panel: Yes
Group All Questions: No
Sub-Section Number: 1
Sub-Section Id: 18798043
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Question Shuffling Allowed : Yes
Question Number : 1 Question Id : 1879801741 Question Type : MSQ Option Shuffling: No Display Question Number: Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 2 Wrong Marks : 0.5
Of nine identical balls, one of which is heavier than the other eight. What is the least number of weighings, using a two-pan balance, to positively identify the heavier ball?
(1) One
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(2) Two
(3) Three
(4) Four
Options:
1879806961. 1
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1879806962. 2
1879806963. 3
1879806964. 4
Question Number : 1 Question Id : 1879801741 Question Type : MSQ Option Shuffling: No Display Question Number: Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks: 2 Wrong Marks : 0.5
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? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
(1) ?
(2) ?
(3) ?
(4) ?
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Options:
1879806961. 1
1879806962. 2
1879806963. 3
1879806964. 4
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Question Number : 2 Question Id : 1879801742 Question Type : MSQ Option Shuffling: No Display Question Number: Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 2 Wrong Marks : 0.5
Number of triangles in the figure is
(1) 9
(2) 10
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(3) 11
(4) 12
Options:
1879806965. 1
1879806966. 2
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1879806967. 3
1879806968. 4
Question Number: 2 Question Id : 1879801742 Question Type : MSQ Option Shuffling : No Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 2 Wrong Marks : 0.5
The difference, the sum and the product of two integers are in the proportion 1:3:10. The two integers are:
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(1) 3,9
(2) 2,5
(3) 5, 10
(4) 3,10
Options:
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1879806969.1
1879806970. 2
1879806971. 3
1879806972.4
Question Number : 3 Question Id : 1879801743 Question Type : MSQ Option Shuffling: No Display Question Number: Yes Single Line Question Option : No Option Orientation : Vertical
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Correct Marks : 2 Wrong Marks : 0.5
? ? ? ?, ?, ? ? ? ? 1:3:10 ? ? ? ? ?:-
(1) 3,9
(2) 2,5
(3) 5, 10
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(4) 3,10
Options:
1879806969.1
1879806970. 2
1879806971. 3
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1879806972.4
Question Number : 4 Question Id : 1879801744 Question Type : MSQ Option Shuffling: No Display Question Number: Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks: 2 Wrong Marks : 0.5
In a population of 900, the number of married couples is as much as the number of singles. There are 100 twins of which 50 twins are singles. The population has 400 females in all. What is the number of married persons?
(1) 325
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(2) 600
(3) 250
(4) 300
Options:
1879806973. 1
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1879806974. 2
1879806975. 3
1879806976. 4
Question Number : 4 Question Id : 1879801744 Question Type : MSQ Option Shuffling: No Display Question Number: Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 2 Wrong Marks : 0.5
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? ? ? ? ? ? ? ? 100 ? ? ? ? 50 ? ? ? ? ? ? 400 ? ? ?
(1) 325
(2) 600
(3) 250
(4) 300
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Options:
1879806973. 1
1879806974. 2
1879806975. 3
1879806976. 4
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Question Number : 5 Question Id : 1879801745 Question Type : MSQ Option Shuffling: No Display Question Number: Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks: 2 Wrong Marks : 0.5
In a certain cipher language 'BIKE' is coded as 'YFHB' and 'CAR' is coded as 'ZXO' then 'SCOOTER' can be coded as
(1) TAPPIYB
(2) PYVVAHJ
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(3) PZLLQBO
(4) JZKKMCO
Options:
1879806977.1
1879806978. 2
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1879806979. 3
1879806980. 4
Question Number : 5 Question Id : 1879801745 Question Type : MSQ Option Shuffling: No Display Question Number: Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 2 Wrong Marks : 0.5
? ? YFHB' ? 'CAR' ? ? 'ZXO' ? ? 'SCOOTER ? ? ? ?
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(1) TAPPIYB
(2) PYVVAHJ
(3) PZLLQBO
(4) JZKKMCO
Options:
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1879806977.1
1879806978. 2
1879806979. 3
1879806980. 4
Question Number: 6 Question Id : 1879801746 Question Type : MSQ Option Shuffling: No Display Question Number: Yes Single Line Question Option : No Option Orientation : Vertical
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Correct Marks: 2 Wrong Marks : 0.5
The trends of two quantities over five years are shown in the graph. Which of the following are valid inferences?
A. The mean values of the quantities are nearly equal
B. The variations in the two quantities are nearly equal
C. Quantity 1 varies less over the given period as compared to Quantity 2
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(1) Only A is true
(2) Only B is true
(3) A and C are true
(4) A and B are true
Question Number : 6 Question Id : 1879801746 Question Type : MSQ Option Shuffling : No Display Question Number: Yes Single Line Question Option : No Option Orientation : Vertical
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Correct Marks: 2 Wrong Marks : 0.5
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
A. ? ? ? ? ? ? ?
B. ? ? ? ? ? ? ? ?
C. ? ? ? 2 ? ? ? ? 1 ? ? ? ? ?
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(1) ? A ? ?
(2) ? B ? ?
(3) A ? C ? ?
(4) A ? B ? ?
Options:
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1879806981.1
1879806982. 2
1879806983. 3
1879806984. 4
Question Number : 7 Question Id : 1879801747 Question Type : MSQ Option Shuffling: No Display Question Number: Yes Single Line Question Option : No Option Orientation : Vertical
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Correct Marks: 2 Wrong Marks : 0.5
Among the following diagrams can represent the relationships between houses, offices and buildings?
(1)
(2)
(3)
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(4)
Options:
1879806985. 1
1879806986. 2
1879806987. 3
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1879806988. 4
Question Number: 7 Question Id : 1879801747 Question Type : MSQ Option Shuffling : No Display Question Number: Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 2 Wrong Marks : 0.5
? ?, ? ? ? ? ? ? ? ? ? ? ? ?
(1)
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(2)
(3)
(4)
Options:
1879806985.1
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1879806986.2
1879806987. 3
1879806988. 4
Question Number: 8 Question Id : 1879801748 Question Type : MSQ Option Shuffling: No Display Question Number: Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks: 2 Wrong Marks : 0.5
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Consider a location on the Earth where the Sun is overhead at noon. Compared to its shadow at 10.00 AM, the shadow of a tower at 4.00 PM would be
(1) twice longer
(2) three times longer
(3) four times longer
(4) eight times longer
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Options:
1879806989.1
Question Number: 8 Question Id : 1879801748 Question Type : MSQ Option Shuffling: No Display Question Number: Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks: 2 Wrong Marks : 0.5
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 10 ? ? ? ? ? 4 ? ? ? ? ? ? :
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(1) ? ?
(2) ? ?
(3) ? ?
(4) ? ? ?
Options:
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1879806989. 1
1879806990. 2
1879806991. 3
1879806992. 4
Question Number: 9 Question Id : 1879801749 Question Type : MSQ Option Shuffling: No Display Question Number: Yes Single Line Question Option : No Option Orientation : Vertical
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Correct Marks : 2 Wrong Marks : 0.5
A girl is running at constant speed to catch a bus which is stationary. Before she reaches the bus, the bus leaves and moves with a constant acceleration. Which one of the following describes the situation correctly?
(1)
(2)
(3)
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(4)
Options:
1879806993. 1
1879806994. 2
1879806995. 3
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1879806996. 4
Question Number: 9 Question Id : 1879801749 Question Type : MSQ Option Shuffling: No Display Question Number: Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks:2 Wrong Marks: 0.5
? ? ? ? ? ? ? ? ? ? ? ? ? ? ?, ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
(1)
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(2)
(3)
(4)
Options:
1879806993. 1
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1879806994. 2
1879806995. 3
1879806996. 4
Question Number : 10 Question Id : 1879801750 Question Type : MSQ Option Shuffling: No Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 2 Wrong Marks : 0.5
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A dart is randomly thrown at a circular board on which two concentric rings of radii R and 2R having the same width (width much less than R). The probability that it hits the smaller ring is
(1) twice the probability that it hits the larger ring.
(2) half of the probability that it hits the larger ring.
(3) four times the probability that it hits the larger ring.
(4) one-fourth the probability that it hits the larger ring.
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Options:
1879806997. 1
1879806998. 2
1879806999. 3
1879807000. 4
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Question Number : 10 Question Id : 1879801750 Question Type : MSQ Option Shuffling: No Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks: 2 Wrong Marks : 0.5
? ? ? ? ? ?- R ? 2R (? R ? ? ? ? ? ?) ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
(1) ? ? ? ? ? ? ? ?
(2) ? ? ? ? ? ? ? ?
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(3) ? ? ? ? ? ? ? ?
(4) ? ? ? ? ? ? ? ? ?
Options:
1879806997. 1
1879806998. 2
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1879806999. 3
1879807000. 4
Question Number : 11 Question Id : 1879801751 Question Type : MSQ Option Shuffling: No Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 2 Wrong Marks : 0.5
The length of a rod is measured repeatedly by two persons. Person A reports the length to be 1002 ± 1 cm while person B reports the length to be 1001 ± 2 cm. It is known that a more reliable method that the length is 1000.1 ± 0.5 cm. Which one of the following statements is correct?
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(1) Measurements made by B are less accurate, but more precise, compared to those by A.
(2) Measurements made by A are less accurate, but more precise, compared to those by B.
(3) Measurements made by B are more precise and more accurate, compared to those by A.
(4) Measurements made by A are more precise and more accurate, compared to those by B.
Options:
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1879807001.1
1879807002. 2
1879807003. 3
1879807004. 4
Question Number : 11 Question Id : 1879801751 Question Type : MSQ Option Shuffling: No Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
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Correct Marks : 2 Wrong Marks : 0.5
? ? ? ? ? (?) ? ? ?-? ? ? ? ? A ? ? ? 1002 ± 1 ? ? ? ? ? B ? ? ? ? ? 1001 ± 2 ? ? ? ? ? ? ? ? ? ? 1000.1 ± 0.5 ? ? ? ? ? ? ? ? ? ? ? ?
(1) A ? ? ? B ? ? ? ? ? ? ? ? ? ?
(2) B ? ? ? A ? ? ? ? ? ? ? ? ? ?
(3) A ? ? ? B ? ? ? ? ? ? ? ? ? ?
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(4) B ? ? ? A ? ? ? ? ? ? ? ? ? ?
Options:
1879807001.1
1879807002. 2
1879807003. 3
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1879807004. 4
Question Number : 12 Question Id : 1879801752 Question Type : MSQ Option Shuffling : No Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 2 Wrong Marks : 0.5
Chairs numbered 1 to 7 are placed around a round table. Starting from chair number 5, a person keeps going around the table anticlockwise. After crossing 41 chairs, the person will reach the chair number
(1) 1
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(2) 3
(3) 5
(4) 7
Options:
1879807005. 1
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1879807006. 2
1879807007. 3
1879807008. 4
Question Number: 12 Question Id : 1879801752 Question Type : MSQ Option Shuffling: No Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 2 Wrong Marks : 0.5
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? ? ? ? ? ? 7 ? ? ? ? ? 1 ? 7 ? ? ? ? ? ? 5 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 41 ? ? ? ? ? ? ? ? ? ? ? ? ?
(1) 1
(2) 3
(3) 5
(4) 7
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Options:
1879807005. 1
1879807006. 2
1879807007. 3
1879807008. 4
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Question Number : 13 Question Id : 1879801753 Question Type : MSQ Option Shuffling: No Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 2 Wrong Marks : 0.5
A, B, C and D are four consecutive points on a circle such that chords AB=BC=CD=10.0 cm and DA = 20.0 cm. The radius of the circle is
(1) 10.0
(2) 10v2
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(3) 10v3
(4) 20.0
Options:
1879807009.1
1879807010. 2
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1879807011.3
1879807012. 4
Question Number : 13 Question Id : 1879801753 Question Type : MSQ Option Shuffling: No Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 2 Wrong Marks : 0.5
A,B,C ? D ? ? ? ? ? ? ? ? ? AB=BC=CD=10.0 ? ? DA=20.0 ? ? ? ? ? (? ?) ? ?
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(1) 10.0
(2) 10v2
(3) 10v3
(4) 20.0
Options:
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1879807009.1
1879807010. 2
1879807011. 3
1879807012. 4
Question Number : 14 Question Id : 1879801754 Question Type : MSQ Option Shuffling: No Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
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Correct Marks: 2 Wrong Marks : 0.5
A says to B, "I could be visiting you on any day in the next two months and you must give me gold coins of as much total weight in grams as the number of days that have passed from today". If gold coins are available in integer gram weights, what is the least number of coins with which B can meet A's demand on any day?
(1) 31
(2) 7
(3) 6
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(4) 13
Options:
1879807013. 1
1879807014. 2
1879807015. 3
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1879807016. 4
Question Number : 14 Question Id : 1879801754 Question Type : MSQ Option Shuffling: No Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 2 Wrong Marks : 0.5
A, B ? ? ?, "? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?, ? ? ?" ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? B, A ? ? ? ? ? ? ?
(1) 31
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(2) 7
(3) 6
(4) 13
Options:
1879807013. 1
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1879807014. 2
1879807015. 3
1879807016. 4
Question Number : 15 Question Id : 1879801755 Question Type : MSQ Option Shuffling: No Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks: 2 Wrong Marks : 0.5
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A 'walk' on a configuration is defined as crossing any number of points in a straight line on the 4 × 4 grid (horizontally, vertically or diagonally). A coin, starting from the indicated position, can cover all nine points within the marked square?
(1) four
(2) five
(3) six
(4) seven
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