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question_answer1)
Which one among the following statements is not true?
A)
All the congruent triangles have equal area. done
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B)
All the triangles equal in area are not congruent. done
clear
C)
The area of a parallelogram PQRS is \[PQ\,\,\times \,\,RQ\] done
clear
D)
Area of a circle is \[\frac{\pi {{d}^{2}}}{4}\] where d is the diameter of the circle. done
clear
E)
None of these done
clear
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question_answer2)
\[\mathbf{100},\text{ }\mathbf{90},\text{ }\mathbf{00},\text{ }\mathbf{000}\text{ }\mathbf{c}{{\mathbf{m}}^{\mathbf{2}}}\] is not to ____________.
A)
10 hectare done
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B)
0.01 square km done
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C)
1, 00, 000 square meter done
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D)
100, 00, 000 square decimeter done
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E)
None of these done
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question_answer3)
In a nursery school, play ground is 240 m In the ground a lawn 120m x 40m is kept for sitting purpose and in the remaining portion, there is 10m wide path parallel to its length and another 8m wide path parallel to its width (as shown in the figure). The remaining area is for swings. Find the area for swings in the school playground.
A)
\[3326{{m}^{2}}\] done
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B)
\[3360{{m}^{2}}\] done
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C)
\[2880{{m}^{2}}\] done
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D)
\[2826{{m}^{2}}\] done
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E)
None of these done
clear
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question_answer4)
In the given figure, all line segments of the shaded portion are of length and at right angles to each other. Find the area of unshaded portion
A)
\[225c{{m}^{2}}\] done
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B)
\[189c{{m}^{2}}\] done
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C)
\[216\text{ }c{{m}^{2}}\] done
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D)
\[289\text{ }c{{m}^{2}}\] done
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E)
None of these done
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question_answer5)
In the shown figure, a circle is inscribed in a square whose one of the side is 14cm. Find the area of the shaded part as shown in the figure,
A)
\[38c{{m}^{2}}\] done
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B)
\[42\text{ }{{m}^{2}}\] done
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C)
\[48\text{ }c{{m}^{2}}\] done
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D)
\[\text{62 }c{{m}^{2}}\] done
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E)
None of these done
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question_answer6)
In the shown figure, PQRS is a rectangle and PTRU is a parallelogram shaped shaded region. Find the ratio of shaded region to unshaded region.
A)
3 : 1 done
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B)
1 : 3 done
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C)
2: 1 done
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D)
1: 2 done
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E)
None of these done
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question_answer7)
The ratio of the areas of \[\,\,\Delta \,\mathbf{PQR}\,\,\mathbf{:}\,\,\Delta \,\mathbf{PRS}\,\,\mathbf{:}\,\,\Delta \,\mathbf{PST}\] is equal to _______.
A)
3: 4: 5 done
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B)
2: 3: 4 done
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C)
4: 5: 6 done
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D)
5: 6: 8 done
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E)
None of these done
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question_answer8)
Circumference of a circular disc is 132 cm. Its area will be ________.
A)
\[1380c{{m}^{2}}\] done
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B)
\[1286c{{m}^{2}}\] done
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C)
\[1188c{{m}^{2}}\] done
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D)
\[1386c{{m}^{2}}\] done
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E)
None of these done
clear
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question_answer9)
Find the area of a rhombus whose perimeter and one of its diagonal are 68 cm and 30 cm respectively.
A)
\[220c{{m}^{2}}\] done
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B)
\[260c{{m}^{2}}\] done
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C)
\[240c{{m}^{2}}\] done
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D)
\[280c{{m}^{2}}\] done
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E)
None of these done
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question_answer10)
If the side of a parallelogram are increased to four times of its original lengths, then by how much percent the perimeter of the parallelogram will increase?
A)
200% done
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B)
300% done
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C)
400% done
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D)
500% done
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E)
None of these done
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question_answer11)
The area of the largest square that can be cut out of a circle of radius 18 cm is _________.
A)
B)
C)
D)
E)
None of these done
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question_answer12)
Find the of the figure shown below:
A)
B)
C)
D)
E)
None of these done
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question_answer13)
Find the length of tape required to cover the edges of a semicircular disc of radius 14cm.
A)
60cm done
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B)
72cm done
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C)
84cm done
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D)
96cm done
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E)
None of these done
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question_answer14)
Find the area of a parallelogram PQRS if the area of shaded triangle is
.
A)
B)
C)
D)
E)
None of these done
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question_answer15)
In the shown figure, a rectangle with perimeter 338 cm is divided into seven congruent rectangles. Find the perimeter of one of the rectangles.
A)
138 cm done
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B)
118 cm done
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C)
130 cm done
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D)
170 cm done
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E)
None of these done
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question_answer16)
Area of a right angled triangle is
. If the smallest side is 5 cm long, then find the perimeter of the triangle.
A)
25cm done
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B)
35cm done
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C)
30cm done
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D)
40cm done
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E)
None of these done
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question_answer17)
Find the area of the given figure.
A)
B)
C)
D)
E)
None of these done
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question_answer18)
A circle of radius 21 cm is cut into four equal parts as shown below. Find the perimeter of the figure.
A)
132cm done
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B)
174cm done
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C)
166cm done
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D)
188cm done
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E)
None of these done
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question_answer19)
The square shown below has been divided into four rectangles» If the length of each of the segments in the diagram is an integer, and the areas of two rectangles are 144 cm2 and 96 cm2 (as shown), then find area of the original square?
A)
B)
C)
D)
E)
None of these done
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question_answer20)
A large square is made by arranging a small square surrounded by four congruent rectangles as shown in the figure. Find the area of large square, if the perimeter of each of the rectangle is 32cm.
A)
B)
C)
D)
E)
None of these done
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question_answer21)
A room is 8.5m long and 6m wide. If the floor of the room is to be covered with tiles of size 20cm by 15cm, then find the cost of covering the floor with tiles at the rate Rs.6.50 per tile.
A)
Rs.11050 done
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B)
Rs.10820 done
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C)
Rs.12720 done
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D)
Rs.14600 done
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E)
None of these done
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question_answer22)
The distance covered by a wheel on rotating it 425 times is 28050 cm. Find the radius of the wheel.
A)
7.5cm done
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B)
4.2cm done
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C)
10.5cm done
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D)
11.7cm done
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E)
None of these done
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question_answer23)
The moon is about 384000 km from earth and its path around the earth is almost circular. What will be the distance covered by the moon in one complete revolution? {Take
}
A)
2411520km done
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B)
1205760 km done
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C)
08560 Km done
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D)
2411,420 Km done
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E)
None of these done
clear
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question_answer24)
4 squares each of sides 12 cm have been cut from each corner of a rectangular sheet of paper of size 90cm x 70cm. An isosceles right triangle is removed from the remaining piece of paper, whose equal sides are each of 12cm length. Find the area of the remaining part of the paper.
A)
B)
C)
D)
E)
None of these done
clear
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question_answer25)
The sides of a square are in the ratio
. If perimeter of the rectangle is 96cm, find the area of the rectangle.
A)
B)
C)
D)
E)
None of these done
clear
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question_answer26)
The area of the shaded part in the figure given below is _________.
A)
B)
C)
D)
E)
None of these done
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question_answer27)
The area of a parallelogram is 288 cm2 and its height is 16cm. Find the length of the corresponding base,
A)
18 cm done
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B)
20 cm done
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C)
22 cm done
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D)
24 cm done
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E)
None of these done
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question_answer28)
A farmer wants to purchase a trapezoidal shaped land, whose parallel sides are 16ft, 14ft and the perpendicular distance between them is 19ft. Find the total cost (in Rs.) of the field at the rate of Rs. 1800 per sq. ft.
A)
522000 done
clear
B)
513000 done
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C)
621000 done
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D)
612000 done
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E)
None of these done
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question_answer29)
The ratio of the volumes of two cubes is 1331: 1728. What is the ratio of their total surface areas?
A)
21:23 done
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B)
8:11 done
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C)
121:144 done
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D)
121:225 done
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E)
None of these done
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question_answer30)
A wire is in the form of a square of side 26m. It is bent in the form of rectangle, whose length and breadth are in the ratio 2: 1. What is the area of rectangle so formed?
A)
B)
C)
D)
E)
None of these done
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question_answer31)
A circle is inscribed in a square of side 18cm. The ratio of the area of the circle and that of the square is _________.
A)
B)
C)
D)
E)
None of these done
clear
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question_answer32)
The minute hand of a clock is 21cm long. How far does the tip of the minute hand moves in 45 minutes?
A)
99cm done
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B)
96cm done
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C)
102cm done
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D)
108cm done
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E)
None of these done
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question_answer33)
Find the volume of the solid as shown below.
A)
B)
C)
D)
E)
None of these done
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question_answer34)
If the diameter of a circle is double to the diagonal of a square, then find the ratio of their areas.
A)
22:7 done
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B)
44:7 done
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C)
11:7 done
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D)
11:3 done
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E)
None of these done
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question_answer35)
The parallel sides of an isosceles trapezium ABCD are 14m and 8m. Also the distance between them is 6m» Am and BN are the perpendiculars drawn to CD. Find the ratio of the area of trapezium ABCD and are a of the
A)
22:3 done
clear
B)
22:7 done
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C)
11:3 done
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D)
11:9 done
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E)
None of these done
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question_answer36)
Find the area of the shaded portion in the following figure.
A)
B)
C)
D)
E)
None of these done
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question_answer37)
The angle of a sector of a circle is
and the radius of the circle is 21cm. Find the ratio of the circumference of the circle and the length of the area of the sector
A)
220:77 done
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B)
10:7 done
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C)
130:77 done
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D)
5:1 done
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E)
None of these done
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question_answer38)
Which one among the following statements is incorrect?
A)
The total surface area of a cube of edge
cm is
.
done
clear
B)
The lateral surface area of a circle, whose volume is
is
.
done
clear
C)
If diagonal of a square is
, then its area is
.
done
clear
D)
E)
None of these done
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question_answer39)
In the figure shown below, PQRS is a rectangle, such that, QM = 2cm, MR = 16cm, TS = 20cm MU = 9cm and
. If
then find the area of shaded portion.
A)
B)
C)
D)
E)
None of these done
clear
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question_answer40)
Two right circular cylinders of equal volume have their heights in the ratio 1: 3. The ratio of their radii is ________.
A)
B)
C)
1:9 done
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D)
4:3 done
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E)
None of these done
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