PIEAS 2012 Question Paper
Math’s Portion:
Two dice are thrown. What is the probability that the sum of dots shown is 4 or 6?
d) 5/18
1/4
1/6
2/9
A poll is 20 m apart from a man. The man is making an angle of elevation of 45 degree with the pole head. What is the height of poll?
15m
25m
20m
17.707m
3) If -2, 4, 10 are in A.P then which term of the A.P is 148?
25
26
32
33
If f(x+1/x) = x- 1/x then f(x) =?
5) If a cylindrical bar has a radius 2 m and height 9 cm and if it is melted and become a sphere. What is the radius of sphere?
3
6
9
None
6) Find dy/dt if x=sqrot7/8 and x^2+ y^3=1 and dx/dt=2.
-4/3 √14
-3/4 √14
-4/3 √15
-3/4 √14
7) [(1-underoot 3 i) /(1+underoot 3 i)]^5 is equivalent to
(1-undroot 3 i)/2
(1+undroot 3i)/2
(1+3i)/2
none
8) 7x^2=9y is parabola cycloid hyperbola ellipse
9) integral from -1 to 2 of x + modulus (x)
0
3
-1
2
10) A cuboid has length y, width 3y and depth y then what is its surface area??
14y^2
15y^2
3y^3
5y^2
11) A sphere has radius 6cm. if it is changing at rate 2cm/sec then what will be the rate of change of volume?
288 pi
300 pi
36 pi
8 pi
12) A car starts at 10.00 am at speed of 60km/h and 2nd starts one hour later at 80km/h. at what time will the 2nd car overtake the 1st?
1 pm
2 pm
3 pm will never cross
13) 3x-4y+11=0 3x-4y+5=0 find the minimum distance between the lines.
14) Equation of circle is x^2 + y^2 +2gx + 6fy = 0.
What is the equation of tangent passing through the point (-1, 1)
15) The length of chord of circle represented by x^2+4x+4+y^2+6y+9=9 passing through centre is??
16) Length of diameter of circle represented by equation 2x^2+2y^2-8=0 ??
Physics Portion:
1) What is the total current if 6 bulbs of 100 watt are connected to 120 volts?
2) If 50 N force is used to lift 240 N weight with pulley system. And if weight is lifted 1 m by pulling rope 5 m towards us. What’s the efficiency??
3) A force of 300N lifts a
Two dice are thrown. What is the probability that the sum of dots shown is 4 or 6?
d) 5/18
1/4
1/6
2/9
A poll is 20 m apart from a man. The man is making an angle of elevation of 45 degree with the pole head. What is the height of poll?
15m
25m
20m
17.707m
3) If -2, 4, 10 are in A.P then which term of the A.P is 148?
25
26
32
33
If f(x+1/x) = x- 1/x then f(x) =?
5) If a cylindrical bar has a radius 2 m and height 9 cm and if it is melted and become a sphere. What is the radius of sphere?
3
6
9
None
6) Find dy/dt if x=sqrot7/8 and x^2+ y^3=1 and dx/dt=2.
-4/3 √14
-3/4 √14
-4/3 √15
-3/4 √14
7) [(1-underoot 3 i) /(1+underoot 3 i)]^5 is equivalent to
(1-undroot 3 i)/2
(1+undroot 3i)/2
(1+3i)/2
none
8) 7x^2=9y is parabola cycloid hyperbola ellipse
9) integral from -1 to 2 of x + modulus (x)
0
3
-1
2
10) A cuboid has length y, width 3y and depth y then what is its surface area??
14y^2
15y^2
3y^3
5y^2
11) A sphere has radius 6cm. if it is changing at rate 2cm/sec then what will be the rate of change of volume?
288 pi
300 pi
36 pi
8 pi
12) A car starts at 10.00 am at speed of 60km/h and 2nd starts one hour later at 80km/h. at what time will the 2nd car overtake the 1st?
1 pm
2 pm
3 pm will never cross
13) 3x-4y+11=0 3x-4y+5=0 find the minimum distance between the lines.
14) Equation of circle is x^2 + y^2 +2gx + 6fy = 0.
What is the equation of tangent passing through the point (-1, 1)
15) The length of chord of circle represented by x^2+4x+4+y^2+6y+9=9 passing through centre is??
16) Length of diameter of circle represented by equation 2x^2+2y^2-8=0 ??
Physics Portion:
1) What is the total current if 6 bulbs of 100 watt are connected to 120 volts?
2) If 50 N force is used to lift 240 N weight with pulley system. And if weight is lifted 1 m by pulling rope 5 m towards us. What’s the efficiency??
3) A force of 300N lifts a