
What will be the area of trapezium whose parallel sides are 22 cm and 16 cm long, and the distance between them is 11 cm?
A)
\[209\text{ }c{{m}^{2}}\] done
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B)
\[282\text{ }c{{m}^{2}}\] done
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C)
\[265\text{ }c{{m}^{2}}\] done
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D)
\[179\text{ }c{{m}^{2}}\] done
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E)
\[302\text{ }c{{m}^{2}}\] done
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The perimeter of a rectangle is 42 m. If the area of the square formed on the diagonal of the rectangle as its side is \[1\frac{1}{12}%\] more than the area of the rectangle, find the longer side of the rectangle.
A)
19 m done
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B)
16 m done
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C)
9 m done
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D)
5 m done
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E)
12 m done
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At the rate of Rs. 2 per sq m, cost of painting a rectangular floor is Rs 5760. If the length of the floor is 80% more than its breadth, then what is the length of the floor?
A)
25 m done
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B)
72 m done
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C)
67 m done
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D)
56 m done
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E)
46 m done
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A 7 m wide path is to be made around a circular garden having a diameter of 7 m. What will be the area of the path in square meter?
A)
298 done
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B)
256 done
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C)
308 done
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D)
365 done
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E)
387 done
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The perimeter of a rectangle of length 62 cm and breadth 50 cm is four times perimeter of a square. What will be the circumference of a semicircle whose diameter is equal to the side of the given square?
A)
36 cm done
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B)
25 cm done
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C)
29 cm done
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D)
17 cm done
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E)
16 cm done
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If the four equal circles of diameter is 6 meter touches its adjacent circle, then find the area of the region bounded by the four circles.
A)
\[(359\pi ){{m}^{2}}\] done
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B)
\[\left( 36\text{ }\text{ }8\pi \right)\text{ }{{m}^{2}}\] done
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C)
\[\left( 369\pi \right)\text{ }{{m}^{2}}\] done
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D)
\[\left( 259\pi \right){{m}^{2}}\] done
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E)
None of these done
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The respective ratio of curved surface area and total surface area of a cylinder is 4 : 5. If the curved surface area of the cylinder is 1232\[c{{m}^{2}}\]. What is the height?
A)
14 cm done
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B)
28 cm done
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C)
7 cm done
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D)
56 cm done
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E)
24 cm done
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A rectangular sheet of paper, when halved by folding it at midpoint of its longer side, results in a rectangle, whose longer and shorter sides are in the same proportion as the longer and shorter sides of the original rectangle. If the shorter side of the original rectangle is 2 unit, what is the area of the smaller rectangle?
A)
\[1\sqrt{2}\,\,\,sq.unit\] done
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B)
\[2\text{ }\sqrt{2}\,\,\,sq.\text{ }unit\] done
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C)
\[4\sqrt{2}\,\,\,sq.\text{ }unit\] done
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D)
Data inadequate done
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E)
None of these done
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Perimeter of a square and rectangle is equal. If length and breadth of rectangle are 12 cm and 10 cm respectively. The area of square is what % more than that of rectangle?
A)
5/6% done
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B)
3/4% done
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C)
2/3% done
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D)
1% done
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E)
None of these done
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What is the volume of a cylinder whose curved surfacearea is 1408 \[c{{m}^{2}}\] and height is 16 cm?
A)
\[7715\text{ }c{{m}^{3}}\] done
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B)
\[9340\text{ }c{{m}^{3}}\] done
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C)
\[8722\text{ }c{{m}^{3}}\] done
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D)
\[7346\text{ }c{{m}^{3}}\] done
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E)
\[9856\text{ }c{{m}^{3}}\] done
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The radii of two cylinders are in the ratio \[3 : 2\] and their curved surface areas are in the ratio\[3:5\]. What is the ratio of their volumes?
A)
\[8:11\] done
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B)
\[5:9\] done
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C)
\[7:4\] done
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D)
\[9:10\] done
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E)
\[13:7\] done
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A square park has a 2 m wide cross road in middle of it. If the side of park is 100 m then find the remaining area of the park. .
A)
\[9650\,\,{{m}^{2}}\] done
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B)
\[9596\,\,{{m}^{2}}\] done
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C)
\[9600\,\,{{m}^{2}}\] done
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D)
\[9604\,\,{{m}^{2}}\] done
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E)
None of these done
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A car has wheels of diameter 70 m. How many revolutions can the wheel complete in 20 minutes if the car is travelling at a speed of 110 m/s?
A)
550 done
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B)
580 done
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C)
630 done
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D)
640 done
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E)
600 done
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A clock has its minute hand of length 7 cm. What area will it swept in covering 10 minutes?
A)
\[32.17\,\,c{{m}^{2}}\] done
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B)
\[25.67\,\,c{{m}^{2}}\] done
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C)
\[45.45\,\,c{{m}^{2}}\] done
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D)
\[41.23\,\,c{{m}^{2}}\] done
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E)
None of these done
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The height of the cone is 24 cm and radius of cone is 7 \[c{{m}^{2}}\]. Find its volume.
A)
1200 \[c{{m}^{3}}\] done
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B)
1232 \[c{{m}^{3}}\] done
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C)
1240 \[c{{m}^{3}}\] done
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D)
1260 \[c{{m}^{3}}\] done
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E)
1262 \[c{{m}^{3}}\] done
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If the radius of a sphere increases by 4 cm then the surface area increases by 704 \[c{{m}^{2}}\]. The radius of the sphere initially was?
A)
5 done
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B)
4 done
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C)
6 done
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D)
8 done
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E)
10 done
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If the perimeter of square, circle, rectangle are equal. Then whose area is largest?
A)
Circle done
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B)
Square done
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C)
Rectangle done
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D)
All are equal done
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E)
Can not determined done
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A rectangular plot of grass is 50 m long and 40 m broad. From the center of each side a path of 3 m wide goes across the center of the opposite side. Find the area of path?
A)
270 done
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B)
280 done
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C)
251 done
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D)
261 done
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E)
None of these done
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The circumference of a circular garden is 1320 m. Find the area. Outside the garden, a road of2m width runs around it. What is the area of this road and calculate the cost of gravelling it at the rate of 50 paise per sq. m.
A)
\[2500.15\text{ }{{m}^{2}},\,\,Rs.1500.15\] done
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B)
\[~2652.57\,\,{{m}^{2}},\text{ }Rs.\text{ }1326.285\] done
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C)
\[2541.14\,\,{{m}^{2}},\text{ }Rs.\text{ }1600.47\] done
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D)
\[3245.78\text{ }{{\text{m}}^{2}},\,\,Rs.2000\] done
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E)
\[4157.12\text{ }\,{{m}^{2}},\text{ }Rs.\,\,1452.11\] done
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A square shape of park of area 23,104 sq. m is to be enclosed with wire placed at heights 1, 2, 3, 4 m above the ground. Find required length of the wire ,,if its length required for each circuit is 10% greater than the perimeter of the field?
A)
2675.2 m done
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B)
2145.12 m done
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C)
2750 m done
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D)
2478.11 m done
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E)
2400.5 m done
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If the radius of the circular field is equal to the side of a square field .If the difference between the area of the circular field and area of the square field is 5145 sq. m .then calculate the perimeter of the circular field?
A)
421 m done
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B)
315 m done
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C)
310 m done
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D)
308 m done
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E)
300 m done
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A rectangular plot has a concrete path running in the middle of the plot parallel to the parallel to the breadth of the plot. The rest of the plot is used as a lawn, which has an area of 240 sq. m. If the width of the path is 3 m and the length of the plot is greater than its breadth by m .what is the area of the rectangular plot (in m)?
A)
410 m done
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B)
288 m done
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C)
250 m done
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D)
300 m done
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E)
320 m done
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A rectangular tank of length \[37\frac{1}{3}\] m internally, 12 m in breadth and 8 m in depth is full of water. Find the weight of water in metric tons, given that one cubic metre of water weighs 1000 kg.
A)
3584 metric tons done
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B)
4500 metric tons done
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C)
4101 metric tons done
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D)
3870 metric tons done
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E)
5721 metric tons done
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The length and the breadth of a rectangular table are increased by 1 m each and due to this the area of the table increased, by 27 sq. m. But if the length is increased by 1 m and breadth decreased by 1 m, area is decreased by 7 sq. m. Find the perimeter of the table.
A)
45 m done
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B)
52 m done
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C)
60 m done
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D)
72 m done
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E)
None of these done
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The perimeter of a square is twice the perimeter of a rectangle. If the perimeter of a square is 140cms and the length of the rectangle is 20cm. Find the breadth of the rectangle?
A)
18 done
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B)
20 done
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C)
15 done
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D)
12 done
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E)
None of these done
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A room is 7.5 m long, 5.5 m broad and 5 m high. What will be the expenditure in covering the walls by paper 40 cm broad at the rate of 80 paise per metre?
A)
Rs. 255.5 done
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B)
Rs.260 done
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C)
Rs. 282.25 done
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D)
Rs.244 done
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E)
None of these done
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Total area of a circle and a square is equal to 6350\[{{m}^{2}}\]. The radius of a circle is 35 m. What is the difference of the circumference of the circle and area of square?
A)
\[2260\,\,{{m}^{2}}\] done
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B)
\[1280\,\,{{m}^{2}}\] done
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C)
\[3280\,\,{{m}^{2}}\] done
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D)
\[2180\,\,{{m}^{2}}\] done
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E)
\[2280\,\,{{m}^{2}}\] done
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If the length of a rectangular plot is increased by 20% and the breadth of the plot is reduced by 20%, the area of the plot is decreased by 8 \[{{m}^{2}}\]. What is the original area of the rectangular plot?
A)
\[184\,\,m{{.}^{2}}\] done
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B)
\[196\,\,m{{.}^{2}}\] done
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C)
\[200\,\,m{{.}^{2}}\] done
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D)
\[225\,\,{{m}^{2}}\] done
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E)
None of these done
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The ratio between the radius and height of a cone is 3 : 4. What is the curved surface area of the cone?
A)
\[16\,\,\,{{m}^{2}}\] done
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B)
\[15\,\,{{m}^{2}}\] done
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C)
\[12\,\,{{m}^{2}}\] done
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D)
Data inadequate done
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E)
None of these done
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If the perimeter of a circle is increased by 30% what will be the effect on the area of the circle?
A)
48% increased done
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B)
52% increased done
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C)
50% decrease done
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D)
69% increased done
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E)
None of these done
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