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DSTA TVM ACADEMIC COUNCIL
HSS Second year MATHEMATICS online examination
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1. If A={2,3}, B={4,5,6}, then the number of relations from A to B is (A) 8 (B) 16 (C) 32 (D) 64
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1 point
A
B
C
D
2. A relation R in the set {1,2,3,.....,14} defined as R={(x,y):3x-y=0} is (A) reflexive (B) transitive (C) symmetric (D) None of these
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1 point
A
B
C
D
3.
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2 points
A
B
C
D
4.
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3 points
A
B
C
D
5. If A ad B are two symmetric matrices of same order, then AB-BA is always a (A) symmetric matrix (B) skew-symmetric matrix (C) identity matrix (D) zero matrix
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1 point
A
B
C
D
Other:
6.
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2 points
A
B
C
D
7. Derivative of y=log(cosx) with respect to x is (A) tanx (B) -tanx (C) cotx (D) -cotx
2 points
A
B
C
D
Clear selection
8.
2 points
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B
C
D
Clear selection
9.
2 points
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B
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D
Clear selection
10. If the sum of 2 numbers is 24 and their product is as large as possible, then one of the two numbers is (A) 20 (B) 10 (C) 12 (D) 18
2 points
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D
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11. Find the value of
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2 points
0
1
-1
2
Other:
12.
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3 points
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B
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D
13.
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3 points
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B
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D
14.
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3 points
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15.
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3 points
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B
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16. The maximum value of Z by solving the following linear programming problem
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4 points
30
40
20
10
Other:
17.
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4 points
9
4
4.5
1
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