CSIT-Entrance-model-Question-1.pdf

Name :…………………………………. Roll no……….. B.Sc. CSIT Entrance 2074


Tribhuvan University 5. If log2 (x - 7) = 1, then x is
Institute of Science and Technology (a) not known (b) 8 (c) 6 (d) 9
4 Years Bachelor in Computer Science and Information Technology (B.Sc.CSIT)
Entrance Examination
2074 6. The value of sin(cos-1 4/5) is
(a) 4/5 (b) 3/5 (c) 5/4 (d) 5/3
Full Marks: 100
Time: 2.00 hrs.
Attempt all question: 7. If tan2x = 3 then x is
Mathematics
(25 1 = 25) (a) n + /3 (b) n - /3
(c) n  /3 (d) n
1. p/q p, q  R, is undefined if
(a) p  0, q = 0 (b) p = 0, q = 0 8. If K + 2, 4K - 6, 3K - 2 are in A.P. then K is
(c) p  0, q  0 (d) p = 0, q  0 (a) -6 (b) 0 (c) 3 (d) -3


2. [a, b] = 1 1 1
9. The sum to infinity of 1     ....... , is
(a) {x : a  x  b} (b) {x : a < x < b} 2 4 8
(a) 0 (b) 2/3 (c) 1/3 (d) 1
(c) {x : a < x  b} (d) { x : a  x < b}

1
 
3. If f: R  R defined by f(x) = 4  x then f(-3) is 10. If A   2  and B  1 2 3 then AB is
2

 3
(a) undefined (b) 13  
(a) (14) (b) (1 4 9)
(c) i 5 (d)  13
 1 2 3
 
4. If |x| = 1 then x is (c) 0 (d)  2 4 6 
 3 6 9
(a) {1} (b) {-1} (c) {-1, 1} (d) {-1, -1}  


IOST, TU Please blacken the correct answer on the Answer sheet. 1

, Name :…………………………………. Roll no……….. B.Sc. CSIT Entrance 2074


0 2 3  17. The lines represented by 5x2 + 3xy + ky2 = 0 are perpendicular to each

11. The value of 1 2 3 is
 other for k =
 
4 8 12 (a) 5 (b) 3 (c) 0 (d) -5

(a) 10 (b) 1 (c) 0 (d) -1
18. The equation of tangent to the circle x2 + y2 = 9 at (1, 1) is
(a) x + y = 9 (b) x - y = 9
 1 2 3
  (c) 2x + 2y = 9 (d) -x - y = 9
12. The matrix   2 0 4  is
  3  4 5
 
3x 2  2 x  5
19. lim 2 
(a) Diagonal (b) Symmetric x  6 x  4 x  7

(c) Skew symmetric (d) Unit (a) 2 (b) 3 (c) 5/7 (d) 1/2


13. [2 (cos 15o + i sin 15o)]6 = 1  cos ax
20. lim =
(a) 64 i (b) 64 (c) 0 (d) -64 i
x 0 x2
(a) a2/2 (b) a 2 (c) 2a 2 (d) 4a 2
14. (1 +  - 2)3 + (1 +  - 2)3 = dy
21. If x = t + sin t, y = 1 - cost then is
(a) 16 (b) 16  (c) -16 (d) 16  2
dx
(a) tan t (b) tan t/2
15. The quadratic equation whose roots are -3 and 2 is (c) - tan t (d) - tan t/2
2 2
(a) x + x - 6 = 0 (b) x + x + 6 = 0
2 22. The derivative of cos x w. r. t. sin x is
(c) x - x - 6 = 0 (d) x2 - x + 6 = 0
(a) -tan x (b) tan x (c) cot x (d) - cot x

16. The line kx + 3y + 5 = 0 and 5x - 2y - 6 = 0 are perpendicular to each
23. The point of inflection of y = x3 - 12x2 = 0 is
other for K =
(a) 12 (b) - 12 (c) 4 (d) 0
(a) 6/5 (b) -6/5 (c) 3/5 (d) -3/5


IOST, TU Please blacken the correct answer on the Answer sheet. 2