To comfortably sit in a room, every girl must be allowed a floor space of 2 sq.m. and air space of 5.5 cubic metres. Fifty girls are to be seated comfortably in a room 10m. long. What should be its height?
5.5m
6.6m
6.5m
5m
A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is
2cm
3 cm
4 cm
6 cm
A rectangle has width a and length b. If the width is decreased by 20% and the length is increases by 10%, then what is the area of the new rectangle in percentage compared to ’ab’ ?
80%
88%
110%
120%
Two diagonals of a parallelogram are 72 cm and 30 cm respectively. What is its perimeter?
136cm
156cm
144cm
124cm
If the area of a square increases by 69%, then the side of the square increases by
13%
30%
39%
69%
XYZ is an equilateral triangle with vertices X (6, -2), Y (2, - 1) and Z (4, -2). If ZA is one of its medians find the length of the median
sqrt6 Units
sqrt5 Units
sqrt 13 Units
sqrt10 Units
A sphere of maximum volume is cut out from a solid hemisphere of radius r. The ratio of the volume of the hemisphere to that of the cut out sphere is
3:2
4:1
4:3
7:4
The ratio between rhe perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle ?
16 cm
18 cm
24 cm
Data inadequate
None of these
The coordinates of a point which divide the join of A (5, 5) and (8, 5) in the ratio 2 : 1 are
(5, 6)
(7, 5)
(8,4)
(9, 6)
The circumference of a circle is 100 cm. The side of a square inscribed in the circle is:
50√2 cm
100/π cm
(50√2/π) cm
(100√2/π) cm
sqrt13 Units
The points of intersection of the circle x2 +y2=34 and line y=5
(2, 4 ) ( -2, 4)
(3, 6) (-3, 6)
(3, 5) (3, -5)
(2, 3) (-2, 3)
If a wire is bent into the shape of a square, then the area of the square is 81sq.cm. When the wire is bent into a semi-circular shape, then the area of the semi-circle will be:
22 cm2
44 cm2
77 cm2
154 cm2
There are two concentric circles. The radius of the outer circle is 8.5 cm and the length of the longest chord of the outer circle that doesn't cut through the inner circle is 8 cm. What fraction of the bigger circle is not covered by the smaller circle?
64/289
8/17
225/289
89/289
The volume of the sphere Q is 3764% less than the volume of sphere P and the volume of sphere R is 1927 % less than that of sphere Q. By what % is the surface area of sphere R less than the surface area of sphere P?
77.77%
87.5%
75%
67.5%
The area of the triangle whose vertices are (a, a), (a + 1, a + 1), (a + 2, a) is :
a3
1
2a
21/2
What will be the cost of gardening 1metre broad boundary around a rectangular plot having perimeter of 340 meters at the rate of Rs. 10 per square metres?
Rs. 1700
Rs. 3400
Rs. 3440
Cannot be determined
if the volume of a cube is 729 cm3, then the surface area of the cube will be
456 cm2
466 cm2
476 cm2
486 cm2
What is the slope of the line given by the equation 3w - 7 = 6 - 2y?
87
- 2/3
45.741
36
74
The radii of two cones are in the ratio 2:1, their volumes are equal. Find the ratio of their heights
1:8
1:4
2:1
The diameter of a garden roller is 1.4 m and it is 2 m long. How much area will It cover in 5 revolutions use (π=22/ 7)
40 m2
44 m2
48m2
36 m2
The distance between the points (-9, 5) and (-8, -20) is
0.8
8
65
28
90
The number of revolutions made by a wheel of diameter 56 cm in covering a distance of 1.1 km is: (use π= 22/7)
31.25
56.25
62
62.5
The area of a rhombus is 150 cm2. The length of one of its diagonals is 10cm. The length of the other diagonal is:
25 cm
30 cm
35 cm
40 cm
Find the co-ordinates of the foot of the perpendicular from point (5,7) on the line whose equation is: x + 7y - 10 = 0.
-25, 35/7
103/25,147/175
15/9,175/33
(3, 1)
The number of bricks, each measuring 25 cm x 12.5 cm x 7.5 cm, required to construct a wall 6m long , 5m high and 0.5 m thick, while the mortar occupies 5% of the volume of the wall, is
3040
5740
6080
8120
The height of the Qutub Minar is 230 metres. It is planned that a stairway from ground to the topof the Minar would be made by arranging cube shaped boulders in a step like fashion. A man firstplaces a boulder on the ground. He then steps on to it, and then throws one boulder down such thatit touches the side of the previous bolder, and then places one over the new one. He then climbsonto the last boulder thus placed and continues to do the same to create steps right to the top, witheach of his step being 1 metre. If each boulder measures 1 cubic metre, how many boulders arerequired in all ?
26565
53130
2300
One side of a parallelogram is 18 cm and its distance from the opposite side is 8 cm. The area of the parallelogram is:
48 cm2
72 cm2
100 cm2
144 cm2
If the perimeter of a rectangle and a square, each is equal to 80 cm and the difference of their areas is 100sq.cm. The sides of the rectangle are
25 cm, 15 cm
28 cm, 12 cm
30 cm, 10 cm
35 cm, 15 cm
There are 8436 steel balls, each with a radius of 1 centimeter, stacked in a pile, with 1 ball on top, 3 balls in the second layer, 6 in the third layer, 10 in the fourth, and so on. The number of horizontal layers in the pile is
34
38
32