Download MATHEMATICS (BRIDGE COURSE) BCA Examination Subject Code : BCA-102 [A0202]

Roll No. ..............................
Total No. of Pages : 03
Total No. of Questions : 13
BCA Examination
MATHEMATICS (BRIDGE COURSE)
Subject Code : BCA-102
[A0202]
Time : 3 Hrs.
Max. Marks : 75
INSTRUCTION TO CANDIDATES :
1. All questions of SECTION-A are compulsory. Each question carry
TWO marks.
2. Attempt any NINE questions from SECTION-B. Each question
carry FIVE marks.
SECTION–A
(15 × 2 = 30 Marks)
1. (a) A Singleton set contains :
(i) Zero element
(ii) One element
(iii) Infinite elements
(iv) None of these
(b) A  B is equals to ....................
(c) Which of following is not an operation on sets:~
(i) Union (ii) Intersection
(iii) Complement
(iv) None of these
(d) sec  is inverse of which of following :
(i) sin  (ii) cos  (iii) cot  (iv) sec 
(e) cosec  is inverse of......................
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19 8
(f) (x + a )10 has following number of terms :
(i) 10
(ii) 11
(iii) 12
(iv) 9
(g) Transpose of a symmetric matrix A is................
(h) Determinant of a skew-symmetric matrix A is.................
(i) If two rows of a determinant are exchanged, new determinant will be :
(i) Same (ii) Negative
(iii) Doubles
(iv) None of these
(j) Row matrix has ................
(k) Mean of first five natural number is :
(i) 15
(ii) 10
(iii) 12
(iv) None of these
(l) Mode of sequence 1,2,2,2,3,3,4 is ..............
(m) Median of sequence 1,2,3,4,5 is ...............
(n) Transpose of a skew symmetric matrix A is :
(i) A
(ii) -A
(iii) 2A
(iv) None of these
(o) Set of real number is universal set of :
(i) Natural numbers
(ii) Integers
(iii) Whole numbers
(iv) All of these.
SECTION–B
(9 × 5 = 45 Marks)
2. State and prove De Morgan’s Law on difference of Sets.
3. If A ={1,2,3,4,5,7,8}, B={2,3,4,6,7,8,8,12},c={3,2}
Find (AUC)-(A  B  C).
4. Give 5 advantages of statistics.
5. Using Binomial theorem, evaluate (999)5.
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6. Using Principle of Mathematical Induction, prove that n(n+l) is a multiple of
2, where n is a Natural number.
7. Verify associative laws on addition of matrices by taking suitable example
of 2x2 matrices.
8. Draw Bar graph for following data :
0-10
12
10-20
15
20-30
13
30-40
14
40-50
19
9. Find median of the following frequency distribution
Wage (in Rs.)
0-10
10-20
20-30 30-40 40-50
No. of workers
22
23
24
27
10
10. If Sin  = 1/5 then find cos , tan , sec , cosec , cot 
11. If Aij = 2i + 3j – l for a 3x3 matrix A. Find the elements of A.
12. Write any 5 properties of Determinants.
13. Find Minors and Cofactors of 3X3 Identity Matrix.
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