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question_answer1)
Two rectangles ABCD and DBEF are as Shown in the figure. The area of rectangle DBEF (in square units) is ___.
A)
10 done
clear
B)
12 done
clear
C)
14 done
clear
D)
15 done
clear
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question_answer2)
The ratio of areas of two squares, if diagonal of one is double the diagonal of the other, is ____.
A)
3 : 2 done
clear
B)
4 : 1 done
clear
C)
3 : 1 done
clear
D)
4 : 3 done
clear
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question_answer3)
Ratio of surface areas of two cubes is 25 : 36. Find the ratio of their volumes.
A)
5 : 6 done
clear
B)
125 : 216 done
clear
C)
1 : 2 done
clear
D)
64 : 216 done
clear
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question_answer4)
The area of a quadrilateral is 342 sq. m. The perpendiculars from two of its opposite vertices to the diagonal are 12 m and 12 m. What is the length of the diagonal?
A)
28.6cm done
clear
B)
25.3cm done
clear
C)
28.5cm done
clear
D)
22.5cm done
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question_answer5)
The radii of the bases of two cylinders are in the ratio of 1 : 2 respectively and their heights are in the ratio 2 : 1 respectively. Find the ratio of their volumes.
A)
1 : 2 done
clear
B)
1 : 4 done
clear
C)
2 : 1 done
clear
D)
4 : 1 done
clear
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question_answer6)
Find the sum of the lengths of the parallel sides of a trapezium whose altitude is 11 cm and whose area is\[\text{0}\text{.55 }{{\text{m}}^{\text{2}}}\].
A)
25m done
clear
B)
15m done
clear
C)
12m done
clear
D)
10m done
clear
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question_answer7)
In the given figure, RSTV is a square inscribed in a circle with centre O and radius r. The total area of the shaded region is ___,
A)
\[{{\text{r}}^{2}}(\pi -2)\] done
clear
B)
\[\text{2}{{\text{r}}^{2}}(2-\pi )\] done
clear
C)
\[\pi \text{(}{{\text{r}}^{2}}-2)\] done
clear
D)
\[8{{r}^{2}}-8r\] done
clear
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question_answer8)
ABC is a right angled triangle with\[\angle BAC=90{}^\circ \]. AH is drawn perpendicular to BC. If AB = 60 cm and AC = 80 cm, then BH = ____.
A)
36 cm done
clear
B)
32 cm done
clear
C)
24 cm done
clear
D)
30 cm done
clear
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question_answer9)
Three cubes whose edges are 3 cm, 4 cm and 5 cm respectively are melted without any loss of metal into a single cube. The edge of the new cube is ______.
A)
6cm done
clear
B)
12cm done
clear
C)
9cm done
clear
D)
10cm done
clear
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question_answer10)
The volume of a cuboid is \[\text{440 c}{{\text{m}}^{\text{3}}}\] and the area of its base is \[\text{88 c}{{\text{m}}^{\text{2}}}\]. Find its height.
A)
5 cm done
clear
B)
11 cm done
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C)
4 cm done
clear
D)
8 cm done
clear
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question_answer11)
A hoop is resting vertically at staircase as shown in the diagram. AB=12 cm and BC=8 cm. The radius of the hoop is _____.
A)
13 cm done
clear
B)
\[\text{12}\sqrt{2}\,\,cm\] done
clear
C)
14 cm done
clear
D)
\[\text{13}\sqrt{2}\,\,cm\] done
clear
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question_answer12)
The capacity of a closed cylindrical water tank is 9.24 kilolitres. If the height of the cylinder is 1.5 m, what is its radius?
A)
1.4m done
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B)
14m done
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C)
7m done
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D)
0.7 m done
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question_answer13)
The thickness of a hollow metallic cylinder is 2 cm. It is 70 cm long with outer radius of 14 cm. Find the volume of the metal used in making the cylinder, assuming that it is open at both the ends. Also find its weight if the metal weighs \[\text{8 g per c}{{\text{m}}^{\text{3}}}\].
A)
\[\text{10440 c}{{\text{m}}^{\text{3}}}\text{, 91250 g}\] done
clear
B)
\[\text{13440 c}{{\text{m}}^{\text{3}}}\text{, 90000 g}\] done
clear
C)
\[\text{11440 c}{{\text{m}}^{\text{3}}}\text{, 91520 g}\] done
clear
D)
\[\text{12440 c}{{\text{m}}^{\text{3}}}\text{, 91550 g}\] done
clear
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question_answer14)
A wooden box (including the lid) has external dimensions 40 cm by 34 cm by 30 cm. If the wood is 1 cm thick, how many \[\,\text{c}{{\text{m}}^{\text{3}}}\]of wood is used in it?
A)
\[\text{6752 c}{{\text{m}}^{\text{3}}}\] done
clear
B)
\[\text{6750 c}{{\text{m}}^{\text{3}}}\] done
clear
C)
\[\text{5752 c}{{\text{m}}^{\text{3}}}\] done
clear
D)
\[\text{5750 c}{{\text{m}}^{\text{3}}}\] done
clear
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question_answer15)
How many bricks of size \[\text{22 cm}\times \text{10 cm}\times \text{7 cm}\] are required to construct a wall 11m long, 3.5 m high and 40 cm thick, if the cement and sand used in the construction occupy \[{{\text{(1/10)}}^{\text{th}}}\] part of the wall?
A)
8000 done
clear
B)
9000 done
clear
C)
7000 done
clear
D)
10000 done
clear
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question_answer16)
A rectangular block of ice measures 40 cm by 25 cm by 15 cm. Calculate its weight (in kg), if ice weighs \[\frac{9}{10}\] of the weight of the same volume of water and \[\text{1 c}{{\text{m}}^{\text{3}}}\] of water weighs 1 gm.
A)
9 done
clear
B)
13.5 done
clear
C)
8 done
clear
D)
9.5 done
clear
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question_answer17)
A cylindrical tower is 5 metres in diameter and 14 metres high. The cost of white washing its curved surface at 50 paise per \[{{\text{m}}^{\text{2}}}\]is __.
A)
Rs.90 done
clear
B)
Rs.97 done
clear
C)
Rs.110 done
clear
D)
Rs.95 done
clear
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question_answer18)
A square garden measuring 8 m on a side is surrounded by a 1 m wide path. What is the area of the path?
A)
\[\text{8}{{\text{m}}^{\text{3}}}\] done
clear
B)
\[\text{9}{{\text{m}}^{\text{2}}}\] done
clear
C)
\[\text{28 }{{\text{m}}^{\text{2}}}\] done
clear
D)
\[\text{36}{{\text{m}}^{\text{2}}}\] done
clear
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question_answer19)
A well 12 m deep with a diameter 3.5 m is dug up and earth from it is evenly spread to form a platform 10.5 m long and 8.8 m wide. Find the height of the platform.
A)
2.5 m done
clear
B)
12.5 m done
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C)
1.25m done
clear
D)
1.5m done
clear
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question_answer20)
A room is 9 m long, 6 m wide and 4 m high. Find the cost of plastering its walls and ceiling at the rate of Rs.2.50 per square metre.
A)
Rs.435 done
clear
B)
Rs.600 done
clear
C)
Rs.502 done
clear
D)
Rs.354 done
clear
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question_answer21)
A solid iron rectangular block of dimensions 4.4 m, 2.6 m and 1 m is cast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. Find the length of the pipe.
A)
112.5m done
clear
B)
112m done
clear
C)
212m done
clear
D)
312m done
clear
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question_answer22)
Find the area of the given field. All dimensions are in m.
A)
\[\text{9000}{{\text{m}}^{\text{2}}}\] done
clear
B)
\[\text{11700}{{\text{m}}^{\text{2}}}\] done
clear
C)
\[\text{11000}{{\text{m}}^{\text{2}}}\] done
clear
D)
\[\text{12000}{{\text{m}}^{\text{2}}}\] done
clear
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question_answer23)
Fill in the blanks.
(i) The perimeter of a rectangle becomes ____ times its original perimeter, if its length and breadth are doubled. |
(ii) The curved surface area of a cylinder is reduced by ____ percent if the height is half of the original height. |
(iii) Opposite faces of a cuboid are ____ in area. |
(iv) If the diagonal d of a quadrilateral is doubled and the heights \[{{h}_{1}}\] and \[{{h}_{2}}\] falling on dare halved, then the new area of quadrilateral is |
A)
B)
C)
D)
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question_answer24)
A)
P\[\to \](iii); Q\[\to \](iii); R\[\to \](iv); S\[\to \](i) done
clear
B)
P\[\to \](ii); Q\[\to \](iv); R\[\to \](i): S\[\to \](iii) done
clear
C)
P\[\to \](ii); Q\[\to \](iii); R\[\to \](i); S\[\to \](iv) done
clear
D)
P\[\to \](ii):Q\[\to \](iv);R\[\to \](ii);S\[\to \](i) done
clear
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question_answer25)
The area of a trapezium with equal non- parallel sides is\[\text{168 }{{\text{m}}^{\text{2}}}\]. If the lengths of the parallel sides are 36 m and 20 m, find the length of the non-parallel sides.
A)
8m done
clear
B)
10m done
clear
C)
15m done
clear
D)
4m done
clear
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