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question_answer1)
The area of a rhombus is \[28\text{ }c{{m}^{2}}\] and one of its diagonals is 4 cm. Find its perimeter.
A)
\[4\sqrt{53}\,\,cm\] done
clear
B)
\[36\,cm\] done
clear
C)
\[2\sqrt{53}\,cm\] done
clear
D)
\[44\,cm\] done
clear
View Solution play_arrow
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question_answer2)
The area of a trapezium is \[28\text{ }c{{m}^{2}}\]and one of its parallel sides is\[6\text{ }cm\]. If its altitude is \[4\text{ }cm,\] find its other parallel side.
A)
\[4\text{ }cm\] done
clear
B)
\[\text{8 }cm\] done
clear
C)
\[\text{6 }cm\] done
clear
D)
\[\text{10 }cm\] done
clear
View Solution play_arrow
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question_answer3)
The perimeter of a trapezium is \[\text{52 }cm\] and its non-parallel sides are each equal to \[10\text{ }cm\]. If its altitude is 8 cm, what is its area?
A)
\[128\,\,c{{m}^{2}}\] done
clear
B)
\[112\,\,c{{m}^{2}}\] done
clear
C)
\[118\,\,c{{m}^{2}}\] done
clear
D)
\[124\,\,c{{m}^{2}}\] done
clear
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question_answer4)
A man bought a rectangular field of length \[144\text{ }m\] and width \[64\text{ }m\]. In exchange for this field he wanted to buy a square field of the same area. What would the side of the square field be?
A)
\[104\text{ }m\] done
clear
B)
\[208\text{ }m\] done
clear
C)
\[96\,m\] done
clear
D)
\[416\,m\] done
clear
View Solution play_arrow
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question_answer5)
The area of a parallelogram is \[120\text{ }c{{m}^{2}}\]and its altitude is 10 cm. Find the length of the base.
A)
\[24\,cm\] done
clear
B)
\[12\,cm\] done
clear
C)
\[8\,cm\] done
clear
D)
\[4\,cm\] done
clear
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question_answer6)
What is the area of an isosceles triangle having base 'Y' cm and one side 'Y' cm?
A)
\[\frac{x}{2}\sqrt{{{y}^{2}}+\frac{{{x}^{2}}}{4}}c{{m}^{2}}\] done
clear
B)
\[\frac{x}{2}\sqrt{\frac{4{{y}^{2}}-{{x}^{2}}}{4}}c{{m}^{2}}\] done
clear
C)
\[\frac{{{x}^{2}}-{{y}^{2}}}{4}c{{m}^{2}}\] done
clear
D)
\[\frac{{{x}^{2}}+{{y}^{2}}}{4}c{{m}^{2}}\] done
clear
View Solution play_arrow
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question_answer7)
What is the length of the diagonal of a square whose area is\[16900\text{ }{{m}^{2}}\]?
A)
\[130\,m\] done
clear
B)
\[130\sqrt{2}\,m\] done
clear
C)
\[169\,m\] done
clear
D)
\[144\,m\] done
clear
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question_answer8)
The sides of a triangle are \[3\text{ }cm,\text{ }5\text{ }cm\] and \[\text{4 }cm\]. What is its area?
A)
\[6\,\,c{{m}^{2}}\] done
clear
B)
\[75\,\,c{{m}^{2}}\] done
clear
C)
\[5\sqrt{2}\,\,c{{m}^{2}}\] done
clear
D)
\[10\,\,c{{m}^{2}}\] done
clear
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question_answer9)
The Lase of an isosceles right triangle is\[30\text{ }cm\] Find its area.
A)
\[225\,c{{m}^{2}}\] done
clear
B)
\[225\sqrt{3}\,c{{m}^{2}}\] done
clear
C)
\[5\sqrt{2}\,c{{m}^{2}}\] done
clear
D)
\[6\sqrt{3}\,c{{m}^{2}}\] done
clear
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question_answer10)
The sides of a triangle are \[16\text{ }cm,\] \[30\text{ }cm\] and\[34\text{ }cm\]. What is its area?
A)
\[120\,c{{m}^{2}}\] done
clear
B)
\[260\,c{{m}^{2}}\] done
clear
C)
\[240\,c{{m}^{2}}\] done
clear
D)
\[272\,c{{m}^{2}}\] done
clear
View Solution play_arrow
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question_answer11)
The adjacent sides of a parallelogram are \[8\text{ }cm\] and\[9\text{ }cm\]. The diagonahnining the ends of these sides is\[13\text{ }cm\]. Calculate the area of the parallelogram.
A)
\[72\,c{{m}^{2}}\] done
clear
B)
\[12\sqrt{35}\,c{{m}^{2}}\] done
clear
C)
\[24\sqrt{35}\,c{{m}^{2}}\] done
clear
D)
\[150\,c{{m}^{2}}\] done
clear
View Solution play_arrow
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question_answer12)
The sides of a triangle are \[11\text{ }cm,\text{ }15\text{ }cm\]and\[16\text{ }cm\]. What is the measure of the altitude to the largest side?
A)
\[30\sqrt{7}\,cm\] done
clear
B)
\[30\,cm\] done
clear
C)
\[\frac{15\sqrt{7}}{4}\,cm\] done
clear
D)
\[\frac{15\sqrt{7}}{2}\,cm\] done
clear
View Solution play_arrow
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question_answer13)
The perimeter of a triangular field is \[144\text{ }m\] and the ratio of its sides is\[3:4:5\]. What is the area of the field?
A)
\[864\,{{m}^{2}}\] done
clear
B)
\[468\,{{m}^{2}}\] done
clear
C)
\[824\,{{m}^{2}}\] done
clear
D)
\[486\,{{m}^{2}}\] done
clear
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question_answer14)
A rectangular field has its length and breadth in the ratio \[5:3\]. Its area is \[3.75\]hectares. Find the cost of fencing it at Rs.5 per metre.
A)
\[Rs.\,400\] done
clear
B)
\[Rs.\,4000\] done
clear
C)
\[Rs.\,1000\] done
clear
D)
\[Rs.\,500\] done
clear
View Solution play_arrow
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question_answer15)
What is the percentage change in the area of a rectangle obtained by decreasing its length and increasing its breadth by 5%?
A)
\[2.5%\]increase done
clear
B)
\[0.25%\] increase done
clear
C)
\[0.25%\]decrease done
clear
D)
\[2.5%\] decrease done
clear
View Solution play_arrow
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question_answer16)
Find the area of the sector of a circle, whose radius is 6 m when the angle at the centre is\[{{42}^{o}}\].
A)
\[13.2\,{{m}^{2}}\] done
clear
B)
\[14.2\,{{m}^{2}}\] done
clear
C)
\[13.4\,{{m}^{2}}\] done
clear
D)
\[14.4\,{{m}^{2}}\] done
clear
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question_answer17)
lf the radius of a circle is \[\frac{7}{\sqrt{\pi }}cm,\] what is the area of the circle?
A)
\[154\,c{{m}^{2}}\] done
clear
B)
\[\frac{49}{\pi }\,c{{m}^{2}}\] done
clear
C)
\[22\,c{{m}^{2}}\] done
clear
D)
\[49\,c{{m}^{2}}\] done
clear
View Solution play_arrow
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question_answer18)
Find the area of a segment of a circle of radius \[21\text{ }cm\] if the arc of the segment has a measure of \[{{60}^{o}}\]. (Take \[\sqrt{3}=1.73\])
A)
\[45.27\,c{{m}^{2}}\] done
clear
B)
\[40.8\,c{{m}^{2}}\] done
clear
C)
\[40.27\,c{{m}^{2}}\] done
clear
D)
\[42.07\,c{{m}^{2}}\] done
clear
View Solution play_arrow
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question_answer19)
An aquarium is in the form of a cuboid whose external measures are\[80\text{ }cm\times 30\text{ }cm\times 40\text{ }cm\]The base, side faces and back face are to be covered with a coloured paper. Find the area of the paper needed.
A)
\[2000\,c{{m}^{2}}\] done
clear
B)
\[8000\,c{{m}^{2}}\] done
clear
C)
\[3000\,c{{m}^{2}}\] done
clear
D)
\[1000\,c{{m}^{2}}\] done
clear
View Solution play_arrow
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question_answer20)
A rectangular piece of paper \[11\text{ }cm\times 4\,cm\] is folded without overlapping to make a cylinder of height\[4\text{ }cm\]. Find the volume of the cylinder.
A)
\[38.5\,c{{m}^{3}}\] done
clear
B)
\[40.5\,c{{m}^{3}}\] done
clear
C)
\[41.5\,c{{m}^{3}}\] done
clear
D)
\[42.5\,c{{m}^{3}}\] done
clear
View Solution play_arrow
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question_answer21)
In a building, there are 24 cylindrical pillars. The radius of each pillar is \[28\text{ }cm\] and height is\[4\text{ }m\]. Find the total cost of painting the curved surface area of all pillars at the rate of Rs.8 per \[{{m}^{2}}\].
A)
\[Rs.1352.68\] done
clear
B)
\[Rs.1351.68\] done
clear
C)
\[Rs.1353.68\] done
clear
D)
\[Rs.1340.68\] done
clear
View Solution play_arrow
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question_answer22)
A sector of \[{{120}^{o}}\] cut out from a circle has an area of \[9\frac{3}{7}\,sq.\,cm\]. What is the radius of the circle?
A)
\[3\,cm\] done
clear
B)
\[2.5\,cm\] done
clear
C)
\[3.5\,cm\] done
clear
D)
\[3.6\,cm\] done
clear
View Solution play_arrow
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question_answer23)
Find the radius of the cylinder whose lateral surface area is \[704\text{ }c{{m}^{2}}\]and height is\[8\text{ }cm\].
A)
\[6\,cm\] done
clear
B)
\[4\,cm\] done
clear
C)
\[8\,cm\] done
clear
D)
\[14\,cm\] done
clear
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question_answer24)
In the figure given, RSTV is a square inscribed in a circle with centre O and radius V. What is the total area of unshaded region?
A)
\[{{r}^{2}}(\pi -2)\,sq.\,units\] done
clear
B)
\[2r(2-\pi )\,sq.\,units\] done
clear
C)
\[\pi ({{r}^{2}}-2)\,sq.\,units\] done
clear
D)
\[(\pi {{r}^{2}}-8r)sq.\,units\] done
clear
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question_answer25)
The dimensions of a hall are \[40\text{ }m,\text{ }25\text{ }m\] and\[20\text{ }m\]. If each person requires 200 cubic metres of space, how many persons can be accommodated in the hall?
A)
\[120\] done
clear
B)
\[150\] done
clear
C)
\[140\] done
clear
D)
\[100\] done
clear
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question_answer26)
Three cylinders each of height \[16\text{ }cm\] and radius of base \[\text{4 }cm\] are placed on a plane so that each cylinder touches the other two. What is the volume of the region enclosed between the three cylinders?
A)
\[98\,\left( 4\sqrt{3}-\pi \right)\,c{{m}^{3}}\] done
clear
B)
\[98\,\left( 2\sqrt{3}-\pi \right)\,c{{m}^{3}}\] done
clear
C)
\[98\,\left( \sqrt{3}-\pi \right)\,c{{m}^{3}}\] done
clear
D)
\[128\,\left( 2\sqrt{3}-\pi \right)\,c{{m}^{3}}\] done
clear
View Solution play_arrow
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question_answer27)
From a cuboid measuring \[7\text{ }cm\] by \[8\text{ }cm\] by \[9\text{ }cm,\] a cube of side \[5\text{ }cm\] is cut. What is the volume of the remaining cuboid?
A)
\[397\,c{{m}^{3}}\] done
clear
B)
\[389\,c{{m}^{3}}\] done
clear
C)
\[398\,c{{m}^{3}}\] done
clear
D)
\[379\,c{{m}^{3}}\] done
clear
View Solution play_arrow
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question_answer28)
A stone of volume \[36\text{ }c{{m}^{3}}\]is placed in a rectangular tank measuring \[8\text{ }cm\] by \[6\text{ }cm\] by \[\text{5 }cm\]. A student wants to fill the tank with water to a height of \[\text{4 }cm\]. What is the volume of water needed?
A)
\[\text{218 }c{{m}^{3}}\] done
clear
B)
\[\text{156 }c{{m}^{3}}\] done
clear
C)
\[\text{228 }c{{m}^{3}}\] done
clear
D)
\[\text{192 }c{{m}^{3}}\] done
clear
View Solution play_arrow
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question_answer29)
An empty tank was \[\frac{2}{5}\] full after \[1.5\,l\] of water was poured in it. The base area of the tank was\[250\text{ }c{{m}^{2}}\]. What was the height of the tank?
A)
\[15\,cm\] done
clear
B)
\[5\,cm\] done
clear
C)
\[4\,cm\] done
clear
D)
\[8\,cm\] done
clear
View Solution play_arrow
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question_answer30)
A cuboid measuring \[20\,cm\] by \[10\,cm\] by \[4\,cm\] is constructed using \[2\,cm\] cubes. How many cubes were needed?
A)
\[200\] done
clear
B)
\[300\] done
clear
C)
\[100\] done
clear
D)
\[150\] done
clear
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question_answer31)
What is the volume of a cylindrical container with base radius \[5\text{ }cm\] and height\[20\text{ }cm\]? (Take \[n=3.14\].)
A)
\[157\,l\] done
clear
B)
\[1.57\,l\] done
clear
C)
\[1570\,l\] done
clear
D)
\[15.7\,l\] done
clear
View Solution play_arrow
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question_answer32)
What is the height of a cuboid of volume \[216\text{ }c{{m}^{3}}\]if its length and breadth measure \[8\text{ }cm\] and \[\text{6 }cm\]?
A)
\[4.5\,m\] done
clear
B)
\[6\,m\] done
clear
C)
\[4.8\,m\] done
clear
D)
\[9\,m\] done
clear
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question_answer33)
A tank with a square base has a volume of \[384\text{ }c{{m}^{3}}.\] If its height is \[6\text{ }cm,\] find the length of the side of the square base.
A)
\[\text{10 }cm\] done
clear
B)
\[\text{8 }cm\] done
clear
C)
\[\text{12 }cm\] done
clear
D)
\[\text{6 }cm\] done
clear
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question_answer34)
In the figure given, ABCD is a parallelogram and CDEF is a rectangle.
What is the total area of the figure?
A)
\[35\,c{{m}^{2}}\] done
clear
B)
\[30\,c{{m}^{2}}\] done
clear
C)
\[25\,c{{m}^{2}}\] done
clear
D)
\[20\,c{{m}^{2}}\] done
clear
View Solution play_arrow
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question_answer35)
What is the area of the shaded region in the following figure?
A)
\[51.33\,c{{m}^{2}}\] done
clear
B)
\[102.7\,c{{m}^{2}}\] done
clear
C)
\[205.34\,c{{m}^{2}}\] done
clear
D)
\[108.6\,c{{m}^{2}}\] done
clear
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question_answer36)
If the areas of three adjacent faces of a rectangular block are in the ratio of \[2:3:4\] and its volume is \[9000\text{ }c{{m}^{3}},\] what is the length of the shortest side?
A)
\[10\,cm\] done
clear
B)
\[15\,cm\] done
clear
C)
\[20\,cm\] done
clear
D)
\[30\,cm\] done
clear
View Solution play_arrow
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question_answer37)
Two cylinders of equal volume have their heights in the ratio \[2:1\] .What is the ratio of their radii?
A)
\[2:1\] done
clear
B)
\[1:2\] done
clear
C)
\[\sqrt{2}:1\] done
clear
D)
\[1:\sqrt{2}\] done
clear
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question_answer38)
A well is to be dug \[20\text{ }m\] deep, \[2.25\text{ }m\] inside diameter, with a brick lining of \[0.35m\]thickness. What is the amount of brick work done?
A)
\[14.75\,{{m}^{3}}\] done
clear
B)
\[57.2\,{{m}^{3}}\] done
clear
C)
\[136.75\,{{m}^{3}}\] done
clear
D)
\[572\,{{m}^{3}}\] done
clear
View Solution play_arrow
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question_answer39)
A rectangular sheet of paper, \[36\text{ }cm\times 22\text{ }cm,\]is rolled along its length to form a cylinder. Find the volume of the cylinder so formed.
A)
\[2268\,c{{m}^{3}}\] done
clear
B)
\[226.8\,c{{m}^{3}}\] done
clear
C)
\[226\,c{{m}^{3}}\] done
clear
D)
\[23.4\,c{{m}^{3}}\] done
clear
View Solution play_arrow
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question_answer40)
A wooden box (open at the top) of thickness \[0.5\text{ }cm,\] length \[21\text{ }cm,\] width \[11\text{ }cm\] and height \[\text{6 }cm\] is painted on the inside. The expense for painting is \[Rs.\,70\]. What is the rate of painting per square centimetre?
A)
\[Rs.\,0.7\] done
clear
B)
\[Rs.\,0.5\] done
clear
C)
\[Rs.\,0.1\] done
clear
D)
\[Rs.\,0.2\] done
clear
View Solution play_arrow
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question_answer41)
If each edge of a cube is increased by \[25%,\] what is the percentage increase in its surface area?
A)
\[25%,\] done
clear
B)
\[48.75%\] done
clear
C)
\[50%\] done
clear
D)
\[56.25%\] done
clear
View Solution play_arrow
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question_answer42)
How many cubes of side \[4\text{ }cm\] can fill a rectangular box measuring \[60\text{ }cm\] by \[40\text{ }cm\] by\[24\text{ }cm\]?
A)
\[900\] done
clear
B)
\[90\] done
clear
C)
\[3600\] done
clear
D)
\[600\] done
clear
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question_answer43)
A pit \[10\text{ }m\] long and \[2\text{ }m\] wide is filled with \[4.8\text{ }{{m}^{3}}\]of sand. What is the depth of the pit?
A)
\[14\,cm\] done
clear
B)
\[2.4\,cm\] done
clear
C)
\[24\,cm\] done
clear
D)
\[12\,cm\] done
clear
View Solution play_arrow
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question_answer44)
The capacity of a cup is\[300\text{ }ml\]. The capacity of a jug is twice that of a cup. What is the capacity of 3 cups and 3jugs?
A)
\[2.7\,l\] done
clear
B)
\[2700\,l\] done
clear
C)
\[27\,l\] done
clear
D)
\[270\,l\] done
clear
View Solution play_arrow
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question_answer45)
The volume of a cube is\[512\text{ }c{{m}^{3}}\]. After a smaller cube is out off from it, its volume is \[448\,c{{m}^{3}}\]. What is the length of each side of the smaller cube?
A)
\[6\,cm\] done
clear
B)
\[7\,cm\] done
clear
C)
\[9\,cm\] done
clear
D)
\[4\,cm\] done
clear
View Solution play_arrow