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June 2012, CA-CPT Question Paper - Entrance Exams 2013 ...

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Ph: 0863 – 22 42 355<br />

51. The number of proper sub sets of the set<br />

{3, 4, 5, 6, 7} is<br />

a) 32 b) 31 c) 30 d) 25<br />

52. On the set of lines in a plane the Relation “ is<br />

perpendicular to” is _______<br />

a) Reflexive b) Symmetric<br />

c) Transitive d) None of these<br />

53. The range of the function f :N → N defined by<br />

x−1<br />

f(x) = ( −1)<br />

is<br />

a) {0 , -1} b) { 1 , -1}<br />

c) {1, 0} d) {1, 0, -1}<br />

54. In an A.P if the 4 th term is 3 times the first term<br />

and 7 th term exceeds the 3 rd term by 1 then<br />

the values of a and d are<br />

a) 3,2 b) 4,3 c) 5,4 d) 6,5<br />

55. If the 8 th term of an A.P is 15 then the sum of<br />

first 15 terms is<br />

a) 15 b) 0 c) 225 d) 225/2<br />

56. Find the point which divides the line segment<br />

joining the points ( 2 , -2) and ( -4, 1) in the<br />

ratio 5:2 externally is<br />

a) (-5,8) b) (-8,3) c) (-5,4) d) (-8,5)<br />

57. Find the sum of the series<br />

4 8 16<br />

2,<br />

, , ,...........∞ given that y > 2 is<br />

2 3<br />

y y y<br />

2y<br />

4y<br />

a)<br />

b)<br />

y − 2<br />

3y − 2<br />

3y<br />

c)<br />

d) None of these<br />

y − 2<br />

58. The equation of the straight line passing<br />

through the point of intersection of the lines<br />

4x – 3y – 1 = 0 and 2x – 5y + 3 = 0 and parallel<br />

to 4x + 5y = 6 is_____<br />

a) 4x + 5y – 12 = 0 b) 4x + 5y – 16 = 0<br />

c) 4x + 5y – 9 = 0 d) 4x + 5y – 11 = 0<br />

59. The range of real values of ‘x’ satisfying the<br />

inequality 3x–2 > 7 and 4x-13 > 15 is<br />

a) x > 3 b) x >7 c) x

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