Name of the Organisation : University Of Library - Cochin University of Science and Technology
Name of the Exam : Common Admission Test (CAT)
Document Type : Sample Question Paper
Year: 2016
Subject: MCA Final

Website : www.library.cusat.ac.in/cat/2016/
Download Model/Sample Question Papers: http://www.indianjobtalks.com/uploads/76259-MCA.pdf

CAT MCA Final Model Question Paper :
1. The number of numbers between 400 and 1000 can be made with the digits 2, 3, 4, 5, 6 and 0 is (If repetition of digits is not allowed).
A. 120
B. 30
C. 60
D. 80

2. The number of triangles that can be drawn by joining 14 points in space (no three of which are collinear) is
A. 364
B. 182
C. 168
D. 336

3. In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
A. 810
B. 1440
C. 2880
D. 50400

4. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
A. 210
B. 1050
C. 25200
D. 21400

5. In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
A. 159
B. 194
C. 205
D. 209

6. A-(B–A) is
A. A-B
B. A?B
C. A–B
D. B–A

7. In a class of 50 students, 20 play football and 16 play hockey. If 10 play both, the number of students who play neither is
A. 24
B. 14
C. 36
D. 26

8. If A = {p, q, r}, B = {2, 3}, number of elements of A ? B is
A. 5
B. 6
C. 9
D. 8

9. If |A-b| = 2, |A| = 3, |B| = 4, then |A?B| is
A. 9
B. 7
C. 5
D. None of the above

10. A relation R in C (the set of all complex numbers) is defined as follows xRy if x is the conjugate of y. Which of the following is true?
A. 4 R 4i
B. i R i
C. (1+i) R(1–i)
D. –2R2

11. The line y = 3 is
A. parallel to y axis
B. parallel to x axis
C. passes through origin
D. None of the above

12. The direction cosines of z axis is
A. (1, 0, 0)
B. (0, 1, 0)
C. (0, 0, 1)
D. (1, 1, 0)

13. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
A. 648
B. 1800
C. 2700
D. 10800

14. The least perfect square, which is divisible by each of 21, 36 and 66 is:
A. 213444
B. 214344
C. 214434
D. 231444

15. A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
A. 2.91 m
B. 3 m
C. 5.82 m
D. None of the above

16. (51 + 52 + 53 + ... + 100) = ?
A. 2525
B. 2975
C. 3225
D. 3775

18. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?
A. 4
B. 10
C. 15
D. 16

19. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
A. 12 days
B. 15 days
C. 16 days
D. 18 days

20. The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
A. 16 cm
B. 18 cm
C. 24 cm
D. Data inadequate