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Posted By: anil kamani Member Level: Gold Posted Date: 05 Jun 2008
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2007 Gujarat State aptitude papers Question paper
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Math Aptitude
Mensuration
1) A point is taken with in an equilateral triangle such that it is perpendicular distance on the sides are 3,4,5 cm . find the sides of the triangle.
a. 8v3
b. 4v3
c. 6v3
d. 12v3
2) How much paint is required for painting the outer surface of the water tank 12 x 4 x 3 m if it needs a liter for every meter square.
a. 16lit
b. 15
c. 12
d. 10
3) What is the length of the longest pole which can be kept in a room 12 by 4m broad and 5m high.
a. 10cm
b. 12
c. 15
d. 13
4) The edges of three iron cubes are 6cm, 8,10cm. A new cube is made by melting them. Find the edge of the new cube.
a. 8cm
b. 12cm
c. 14cm
d. 10cm
5) The dimensions of the room is 6,4,3m. How many boxes will t hold if each box occupies 1.5 cubic cm of space.
a. 64
b. 48
c. 54
d. 60
6) A closed wooden box is 44cm long 32cm wide and 28 cm in height and made of 2.5cm thick wood. Find the quantity of wood used.
a. 16215
b. 15005
c. 16205
d. 15205
7) semicircle is constructed on each side of the square of length 2cm. What is the area of the whole figure.
a. (4 + 2pi)
b. 4(1+pi)
c. 4pi
d. 8pi
8) Area of the circle is halved when its radius is decreased by xcm. What is the radius of the circle.
a. x(2+v2)
b. x(v2-1)
c. x(v3-v2)
d. x(3-v2)
9) The area of the largest triangle inscribed in a semicircle of radius of radius x cm is:
a. 2r2
b. r2
c. v2r2
d. 2r2
e. None
10) The area of the largest circle that can be drawn in a square of side 14cm is:
a. 1078
b. 154
c. 308
d. 225
11) A wire is in the form of a circle of radius 28cm. what is the area of square in to which the wire is bent.
a. 1936
b. 1866
c. 19.36
d. none
12) The area of circle inscribes in an equilateral triangle is 48pi cm square. Perimeter.
a. 72v3
b. 48v3
c. 72
d. 36
13) If the length of the rectangle is increased by 50% and breadth is decreased by 25%. Find the %age change in area.
a. 12.5increase
b. 10%increase
c. 25% increase
d. 20% decrease.
14) One cubic meter of copper wire weighing 900kg is rolled into a square bar of 27 meters of the length. If an exact cube is cut out of it. What will be the weight of this solid?
a. 30kg
b. 30kg
c. 34
d. 33
15) A reservoir is 45meters long and 12 meters broad. How many kilo liters of water must be poured into it to raise the water level by 2meters.
a. 540
b. 1280
c. 1080
d. 1380
16) How many cubes of edge 2dm can be cut out of a meter cube?
a. 50
b. 64
c. 216
d. 125
17) How many cubes can be cut out of a meter cube? If the perimeter of the smaller cube is 48cm.
a. 7500
b. 15625
c. 9261
d. 17576
18) The areas of the three faces of a cuboids are in the ratio 2:3:4. If the volume is 900cubic cm. Find the length of the shortest side.
a. 15
b. 20
c. 30
d. 40
19) If one centimeter of rainfall , the water level that falls on 5 hectares of ground is:
a. 500
b. 50
c. 125
d. 5000
20) The volumes of the cubes are in the ratio 27 :125. What shall be the ratio of surface areas?
a. 6:25
b. 3:5
c. 9:25
d. 16:25
21) A hall is 100 x 75 x 22m. The no. of persons , who can be accommodated in it if each requires 50 cc of air are:
a. 2200
b. 1100
c. 2500
d. 3300
22) How many small cubes of 150 cm square of surface area can be cut from a cube of a edge half a meter?
a. 1000
b. 500
c. 250
d. 100
23) Two cubes of edge 10cm are joined to form a single cuboid. What is the surface area of new cuboid?
a. 3000
b. 1000
c. 2500
d. 1500
24) The diagonal of a cube is 15m. Find the volume of the same.
a. 375v3
b. 375
c. 125v3
d. 750v3
25) A cuboid of 3m height is half as long as it is wide. If its volume is 450 . Find the length.
a. 30
b. 15
c. 20
d. 10
ANSWERS TO THE QUIZ
26) a
27) c
28) d
29) b
30) b
31) d
32) a
33) a
34) b
35) b
36) a
37) c
38) a
39) d
40) c
41) d
42) b
43) a
44) a
45) c
46) d
47) a
48) b
49) a
50) b
Leave 34, 39 and 47.
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