PPT 2016 Paper July 3 First Shift – Mathematics
Radii of two cyliders are in the ratio 2:3 and their heights are in the ratio 5:3, then the ratio of their volume is _____
(a) 20 : 27
(b) 21 : 23
(c) 2 : 5
(d) 4 : 9
a
The point of intersection of the lines x+y-3 =0 and x-2y=6 is
(a) (-2,4)
(b) (2,1)
(c) (4,-1)
(d) (1,-2)
c
Point (-5,-8) lie in
(a) First quadrant
(b) Second quadrant
(c) Third quadrant
(d) Fourth quadrant
c
A sphere of radius 7 cm is immersed in water in a cylinder, the level of water rises by 7/3 cm. The radius of the cylinder is
(a) 21 cm
(b) 15 cm
(c) 14 cm
(d) 12 cm
c
‘X’ is 30 years older than ‘Y’. If ‘Y’ were 5 years younger and ‘X’ were 5 years older, the age of ‘X’ would have been five times the age of ‘Y’. The age of ‘X’ is
(a) 45
(b) 50
(c) 65
(d) 40
a
The co-ordinates of the point on the y-axis which are equidistant from the points (1,2) and (2,3) are
(a) (0,2)
(b) (0,8)
(c) (0,4)
(d) (0,6)
c
Points P (1,-1), Q (k,2) and R (9,5) are collinear. The value of k is
(a) -5
(b) -3
(c) 5
(d) 6
a
If the system of equations 4x+5y=3 and (a+b)x+(2a-b)y=9 has infinitely many solutions, then
(a) a=3, b=9
(b) a=-3, b=9
(c) a=9, b=3
(d) a=9, b=-3
c
The two A.P’s have the same common difference. the first term of one of these is 5 and that of other is 9. The difference between their 7th term is
(a) -5
(b) -4
(c) 5
(d) 4
b
Area of a triangle, formed by the points (0,0), (2,0) and (0,3) is
(a) 1 sq. units
(b) 2 sq. units
(c) 6 sq. units
(d) 3 sq. units
d
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