you sample paper for the Special
Class Railway Apprentices (SCRA )
Exam conducted by UPSC.
Sample paper :
2. In an examination of a certain
class, at least 70% of the students
failed in Physics, at least 72%
failed in Chemistry, at least 80%
failed in Mathematics and at least
85% failed in English. How many
at lest must have failed in all the
four subjects ?
(a) 5%
(b) 7%
(c) 15%
(d) Cannot be determined due to
insufficient data
3. If a≠0 and the line 4bx+3cy
+2d=0 passes throught the points
of intersection of the paraboals
y2=4ax and x2=4ay, then which
one of the following is correct ?
(a) d2+(3b-4c)2=0
(b) d2+(3b=4c)2=0
(c) d2+(4b+3C)2=a2
(d) d2+(4b+3c)2=0
5. Which one of the following
represents the curve in the xy-
plane passing through the point
(2,2) and having at each of its
points the slope equal to -x-2 ?
(a) y=x=1.5
(b) y=1.5x
(c) xy=1.5
(d) xy=1.5x+1
7. What is the range of the
function f (x)=x-[x] where [x] is
the greatest integer function ?
(a) [0,1)
(b) (0, 1]
(c) (0,1)
(d) [0,1]
8. If the lines 3x-4y+4=0 and
6x-8y-7=0 are tangents to the
circle, then what is the radius of
the circle ?
(a) 3/4
(b) 4/3
(c) 3/2
(d) 3
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