
question_answer1) Length and breadth of a rectangle are 3.2 m and 150 cm. Then the area is
A) 48 sq. cm done
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B) 4.8 cm done
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C) 4.8 sq. m done
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D) 48 cm done
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question_answer2) Area of the shaded region is
A) 96 sq. m done
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B) 15 sq. m done
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C) 81 sq. m done
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D) 111 sq. m done
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question_answer3) The perimeter of a square is.................times the length of the side.
A) 2 done
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B) 3 done
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C) 4 done
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D) None of these done
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question_answer4) A playground which is 250 m long and 20 m broad is to be fenced with wire. How much wire is needed?
A) 270 m done
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B) 230 m done
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C) 540 m done
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D) None of these done
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question_answer5) The distance covered by a farmer around a field of 120 m length and 80 m width is ...........m.
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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question_answer6) If the length and breadth of a rectangle are doubled then its perimeter is
A) tripled done
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B) doubled done
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C) made half done
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D) None of these done
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question_answer7) The length of a rectangle is \[\frac{6}{5}\]th of its breadth. If its perimeter is 132m, its area will be............
A) \[1,080\,{{m}^{2}}\] done
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B) \[640\,{{m}^{2}}\] done
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C) \[1,620\,{{m}^{2}}\] done
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D) \[2,160\,{{m}^{2}}\] done
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question_answer8) The difference between the length and breadth of a rectangle is 23 m. If the perimeter is 206 m then the area is
A) \[1520\,{{m}^{2}}\] done
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B) \[2520\,{{m}^{2}}\] done
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C) \[2420\,{{m}^{2}}\] done
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D) None of these done
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question_answer9) The length and breadth of a rectangular hall are 0.4 m and 30 cm respectively. The distance between two opposite comers of the hall is
A) 34.16 m done
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B) 50 m done
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C) 34.16 cm done
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D) 50 cm done
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question_answer10) If ABCD is a parallelogram, then the ratio of the areas of parallelogram ABCD and A ABC is
A) 1 : 2 done
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B) 2 : 1 done
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C) Cannot be determined done
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D) None of these done
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question_answer11) The length of diagonal of a square whose area is \[16900\,{{m}^{2}}\]is
A) \[130\,m\] done
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B) \[130\sqrt{2}\,m\] done
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C) \[169\,m\] done
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D) \[144\,m\] done
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question_answer12) The base of an isosceles right triangle is 30 cm. Its area is
A) \[225\,c{{m}^{2}}\] done
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B) \[225\sqrt{3}\,c{{m}^{2}}\] done
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C) \[5\sqrt{2}\,c{{m}^{2}}\] done
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D) None of these done
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question_answer13) The adjacent sides of a parallelogram are 8 cm and 9 cm. The diagonal joining the ends of these sides is 13 cm. Its area is
A) \[72\,c{{m}^{2}}\] done
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B) \[12\sqrt{35}\,c{{m}^{2}}\] done
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C) \[24\sqrt{35}\,c{{m}^{2}}\] done
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D) \[150\,c{{m}^{2}}\] done
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question_answer14) The sides of a triangle are 11 cm, 15 cm and 16cm. The altitude to largest side is
A) \[30\sqrt{7}\,cm\] done
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B) \[\frac{15\sqrt{7}}{2}cm\] done
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C) \[\frac{15\sqrt{7}}{4}cm\] done
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D) \[30\,cm\] done
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question_answer15) If the altitude of an equilateral triangle is \[\sqrt{6}\,cm,\]its area is
A) \[2\sqrt{3}\,c{{m}^{2}}\] done
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B) \[2\sqrt{2}\,c{{m}^{2}}\] done
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C) \[3\sqrt{3}\,c{{m}^{2}}\] done
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D) \[6\sqrt{2}\,c{{m}^{2}}\] done
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question_answer16) What change in percent is made in the area of a rectangle by decreasing its length and increasing its breadth by 5%?
A) 2.5% increase done
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B) 0.25% increase done
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C) 0.25% decrease done
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D) 2.5% decrease done
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question_answer17) The circumference of a circle is 44 m; then the area of the circle is
A) \[6084.5\,{{m}^{2}}\] done
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B) \[276.5\,{{m}^{2}}\] done
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C) \[154\,{{m}^{2}}\] done
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D) \[44\,{{m}^{2}}\] done
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question_answer18) The area of a circle is \[2464\,{{m}^{2}},\] then the diameter is
A) 56 m done
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B) 154 m done
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C) 176 m done
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D) None of these done
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question_answer19) The difference between circumference and radius of a circle is 37 m. The circumference of that circle is
A) 7 m done
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B) 44 m done
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C) 154 m done
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D) None of these done
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question_answer20) If the circumference of a circle is \[\frac{30}{\pi },\] then the diameter of the circle is
A) \[60\,\pi \] done
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B) \[\frac{15}{\pi }\] done
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C) \[\frac{30}{{{\pi }^{2}}}\] done
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D) \[30\] done
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question_answer21) When the circumference and area of a circle are numerically equal, then the diameter is numerically equal to
A) area done
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B) circumference done
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C) \[2\pi \] done
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D) \[4\] done
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question_answer22) If the ratio of circumference of two circles is 4:9, the ratio of their area is
A) 9 : 4 done
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B) 16 : 81 done
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C) 4 : 9 done
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D) 2 : 3 done
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question_answer23) If the radii of two concentric circles are 15 cm and 13 cm respectively, then the area of the circulating ring in sq. cm will be
A) 176 done
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B) 178 done
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C) 180 done
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D) 200 done
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question_answer24) The length a rectangle is increased by 60%. By what percentage would the width have to be decreased to maintain the same area
A) \[37\frac{1}{2}%\] done
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B) \[60%\] done
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C) \[75%\] done
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D) \[120%\] done
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question_answer25) The ratio of areas of two squares, one having double its diagonal than the other is
A) 2 : 1 done
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B) 3 : 1 done
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C) 3 : 2 done
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D) 4 : 1 done
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question_answer26) Each side of an equilateral triangle is increased by 1.5%. The percentage increase in its area is
A) 1.5% done
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B) 3% done
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C) 4.5% done
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D) 5.7% done
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question_answer27) If each of the dimensions of a rectangle is increased by 100% its area is increased by
A) 100% done
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B) 200% done
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C) 300% done
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D) 400% done
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question_answer28) A rectangular carpet has an area of \[120\text{ }{{m}^{2}}\] and a perimeter of 46 m. The length of its diagonal is
A) 15 m done
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B) 16 m done
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C) 17 m done
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D) 20 m done
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question_answer29) If the ratio of the areas of two squares is 9 : 1 then the ratio of their perimeter is
A) 9 : 1 done
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B) 3 : 4 done
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C) 3 : 1 done
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D) 1 : 3 done
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question_answer30) Area of four walls of a rectangular room is \[77\,{{m}^{2}}.\] The length and breadth of the room are 7.5 m and 3.5m respectively. The height of the room is
A) 7.7 m done
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B) 3.5 m done
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C) 6.77 m done
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D) 5.4 m done
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question_answer31) A tin sheet is in the form of a rhombus whose side is 5 cm and one of its diagonals is 8 cm. Then the cost of painting the sheet at the rate of Rs. 3.50 per\[c{{m}^{2}}\]on both of its sides is
A) Rs. 84 done
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B) Rs. 140 done
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C) Rs. 168 done
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D) none of these done
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question_answer32) A playground is in the form of a rectangle having semicircle on the shorter sides. Find its area when the length of the rectangular portion is 80 m and the breadth is 42 m.
A) \[4746\,{{m}^{2}}\] done
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B) \[4748\,{{m}^{2}}\] done
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C) \[4950\,{{m}^{2}}\] done
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D) \[5049\,{{m}^{2}}\] done
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question_answer33) The area of an isosceles triangle with equal sides 5.1 meters and the third side 4.6 meters is
A) 10.47 sq. m done
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B) 2.86 sq. m done
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C) 10.45 sq. m done
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D) None of these done
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question_answer34) The area of a circle whose radius is\[{{r}^{2}}\]is
A) \[\pi {{r}^{2}}\] done
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B) \[2\pi {{r}^{4}}\] done
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C) \[\pi {{r}^{4}}\] done
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D) not possible done
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question_answer35) A wire in the shape of an equilateral triangle encloses an area of S sq. cm. If the same wire is bent to form of a circle. The area of the circle will be
A) \[\frac{\pi {{S}^{2}}}{9}\] done
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B) \[\frac{3{{S}^{2}}}{\pi }\] done
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C) \[\frac{3S}{\pi }\] done
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D) \[\frac{3\sqrt{3}S}{\pi }\] done
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question_answer36) The two adjacent sides of a parallelogram are 4 cm and 9 cm. The ratio of its altitudes is
A) 21 : 22 done
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B) 4 : 9 done
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C) 16 : 81 done
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D) 11 : 37 done
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question_answer37) How many bricks 20 cm by 10 cm will be needed to pave the floor of a room 25 m long and 16 m wide?
A) 18000 done
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B) 20000 done
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C) 22000 done
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D) 24000 done
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question_answer38) A marginal walk all around the inside of an oblong piece of ground 40 m by 35 m occupies 650\[{{m}^{2}}\]. Find the width of the walk.
A) 3m done
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B) 4m done
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C) 5m done
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D) 6m done
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question_answer39) The perimeter of a circular plot is equal to that of a square plot. What is the ratio of their respective areas?
A) 13 : 11 done
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B) 14 : 11 done
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C) 15 : 11 done
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D) 16 : 11 done
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question_answer40) Four circles of radius 1 cm each are placed in such a way on a plane paper that each touches the other. Find the area \[(c{{m}^{2}})\] of the space left in between the four circles,\[(\pi =3.16)\]
A) 0.82 done
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B) 0.84 done
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C) 0.86 done
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D) 0.88 done
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question_answer41) The inside circumference of a circular field is 1188 m. A road 7 m wide is constructed on the outside. Find its area.
A) \[8070\,{{m}^{2}}\] done
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B) \[8270\,{{m}^{2}}\] done
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C) \[8370\,{{m}^{2}}\] done
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D) \[8470\,{{m}^{2}}\] done
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question_answer42) If all the sides of a triangle be increased by 200 per cent, what is the corresponding increase in its area?
A) 300% done
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B) 400% done
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C) 600% done
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D) 800% done
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question_answer43) The circumference of a circle is 100 cm. What is the side of the largest square inscribed in the circle?
A) \[\frac{100\sqrt{2}}{\pi }cm\] done
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B) \[\frac{50\sqrt{2}}{\pi }cm\] done
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C) \[\frac{100}{\pi }cm\] done
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D) \[50\sqrt{2}\,cm\] done
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question_answer44) If the length of a rectangle is increased by 50% and its breadth is decreased by 25%, what is the change percent in its area?
A) 12.5% increase done
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B) 10% increase done
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C) 25% increase done
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D) 20% increase done
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question_answer45) In the figure, AD = 4 cm, CE = 6 cm, AE = 5 cm and BE = 3 cm. The area of the quadrilateral ABCD is:
A) \[24\,c{{m}^{2}}\] done
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B) \[34\,c{{m}^{2}}\] done
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C) \[72\,c{{m}^{2}}\] done
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D) \[48\,c{{m}^{2}}\] done
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question_answer46) In the figure, ABCD is a trapezium in which AB = 15 cm, DC = 9 cm and DE = 8 cm. The area of ABCD is:
A) \[128\,c{{m}^{2}}\] done
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B) \[25\,c{{m}^{2}}\] done
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C) \[96\,c{{m}^{2}}\] done
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D) \[216\,c{{m}^{2}}\] done
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question_answer47) The area of a quadrilateral inscribed in a circle whose side measures 36m, 77m, 75m and 40m respectively is:
A) \[2886\,{{m}^{2}}\] done
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B) \[2196\,{{m}^{2}}\] done
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C) \[3228\,{{m}^{2}}\] done
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D) \[2500\,{{m}^{2}}\] done
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question_answer48) The area of a rhombus is \[4800\,{{m}^{2}}\] and the side is 40 m. The diagonals are:
A) \[{{d}_{1}}=215.04\,m;\,{{d}_{2}}=96.25\,m\] done
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B) \[{{d}_{1}}=110.15\,m;\,{{d}_{2}}=26.15\,m\] done
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C) \[{{d}_{1}}=96.15\,m;\,{{d}_{2}}=42.16\,m\] done
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D) \[{{d}_{1}}=145.83\,m;\,{{d}_{2}}=65.83\,m\] done
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question_answer49) The surface area, volume and length of diagonal of a cuboid whose dimensions are 25 m, 10m and 2 m are respectively:
A) \[640\,{{m}^{2}};\,\,500\,{{m}^{3}};\,\,27\,m\] done
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B) \[640\,{{m}^{2}};\,\,250\,{{m}^{3}};\,\,30\,m\] done
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C) \[640\,{{m}^{2}};\,500\,{{m}^{3}};\,\,50\,m\] done
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D) \[520\,{{m}^{2}};\,\,500\,{{m}^{3}};\,\,27\,m\] done
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question_answer50) The surface area of a cube is 216 sq. cm. Its volume is:
A) \[912\,c{{m}^{2}}\] done
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B) \[216\,c{{m}^{3}}\] done
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C) \[512\,c{{m}^{3}}\] done
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D) \[926\,c{{m}^{2}}\] done
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question_answer51) The volume of a sphere whose surface area is \[2464\,c{{m}^{2}}\]is
A) \[11498.67\,{{m}^{3}}\] done
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B) \[21160.34\,c{{m}^{3}}\] done
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C) \[11498.67\,c{{m}^{3}}\] done
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D) \[21160.34\,{{m}^{3}}\] done
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question_answer52) DIRECTIONS: Match ColumnI with ColumnHand select the correct answer using the codes given below the columns. A B C D E
A) 4 3 5 2 1 done
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B) 3 4 1 5 2 done
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C) 3 4 5 1 2 done
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D) 3 5 4 1 2 done
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question_answer53) A B C D E
A) 3 5 1 4 2 done
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B) 3 5 4 1 2 done
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C) 2 4 1 5 3 done
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D) 3 1 5 2 4 done
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question_answer54) A B C D
A) 1 2 3 4 done
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B) 4 3 2 1 done
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C) 2 3 4 1 done
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D) 2 4 3 1 done
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question_answer55)
A) \[Ap,Bq,Cr,Ds\] done
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B) \[Ar,Bs,Cp,Dq\] done
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C) \[Ar,Bp,Cq,Ds\] done
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D) \[Aq,Bp,Cr,Ds\] done
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question_answer56)
A) \[As,Br,Cq,Dp\] done
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B) \[As,Bq,Cr,Dp\] done
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C) \[Ap,Bq,Cr,Ds\] done
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D) \[Ar,Bp,Cq,Ds\] done
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question_answer57) Consider the following statements: (i) Circumference of a circle is\[2\pi r.\] (ii) Circumference of a circle whose diameter is 4.2 cm, is 13.2 cm. (iii) Radius of circle whose circumference is 88 m is 14m. Which of the statement is/are correct?
A) Only (i) done
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B) Only (ii) done
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C) Only (iii) done
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D) All (i), (ii) and (iii) are correct done
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question_answer58) Consider the following statements. (i) Perimeter define as the total boundary length of closed figure. (ii) Area is the amount of surface covered by any shape. (iii) The commonly used units of perimeter are kilometer, meter and centimeter. Which of the statement is/are incorrect?
A) only (i) and (ii) done
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B) only (i) and (iii) done
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C) only (ii) and (iii) done
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D) neither (i), (ii), nor (iii) done
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question_answer59) Consider the following statements. (i) Area of a triangle\[=\frac{1}{2}\times \]base\[\times \]altitude (ii) Base of triangle\[=\frac{2\times \text{Area}}{\text{Altitude}}\] (iii) Altitude of triangle\[=\frac{2\times \text{Area}}{\text{Base}}\] Which of the statement is/are incorrect?
A) only (i) and (ii) done
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B) only (i) and (iii) done
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C) only (ii) and (iii) done
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D) (i), (ii) & (iii) done
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question_answer60) Consider the following statements (i) Circumference C of a circle of radius r given by\[C=2\pi r.\] (ii) Circumference C of a circle of radius r given by\[\pi {{r}^{2}}.\] (iii) Area of a circle of radius r is given by \[A=\pi {{r}^{2}}.\] Which of the statement is/are correct?
A) only (i) and (ii) done
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B) only (ii) and (iii) done
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C) only (iii) and (i) done
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D) all are correct done
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question_answer61) Which of these statements is true? (i) General formula for the area of triangle is \[\frac{1}{2}\times \] base\[\times \]height. (ii) Perimeter of any right angled triangle is the sum of the measurement of its boundary (iii) Area of an equilateral of side a and area of an isosceles right angled triangle (equal sides = a) is same.
A) i and ii done
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B) i and iii done
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C) i, ii and iii done
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D) iii done
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question_answer62) DIRECTIONS: Passage ? 1 Read the passage given below and answer the questions that follow A horse is tied to a pole fixed at one corner of a \[30\,m\times 30\,m\] square field of grass, by means of 10 m long rope. The area of that part of the field in which the horse can graze is
A) \[78.5\,{{m}^{2}}\] done
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B) \[77\,{{m}^{2}}\] done
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C) \[76\,{{m}^{2}}\] done
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D) \[75\,{{m}^{2}}\] done
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question_answer63) DIRECTIONS: Passage ? 1 Read the passage given below and answer the questions that follow A horse is tied to a pole fixed at one corner of a \[30\,m\times 30\,m\] square field of grass, by means of 10 m long rope. The increase in the grazing area if the rope were 20 m long instead of being 10 m long, is
A) 236 done
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B) 237 done
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C) 2355 done
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D) 238 done
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question_answer64) DIRECTIONS: Passage ? 2 Read the passage given below and answer the questions that follow A piece of wire in the form of a rectangle 9 cm long and 6 cm broad is reshaped and bent into the form of circle. Length of the wire is
A) 30 cm done
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B) 18 cm done
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C) 12 cm done
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D) 15 cm done
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question_answer65) DIRECTIONS: Passage ? 2 Read the passage given below and answer the questions that follow A piece of wire in the form of a rectangle 9 cm long and 6 cm broad is reshaped and bent into the form of circle. Circumference of the circle is
A) 15 cm done
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B) 12 cm done
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C) 18 cm done
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D) 30 cm done
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question_answer66) DIRECTIONS: Passage ? 2 Read the passage given below and answer the questions that follow A piece of wire in the form of a rectangle 9 cm long and 6 cm broad is reshaped and bent into the form of circle. Radius of the circle is
A) 4 cm done
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B) 8 cm done
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C) 6 cm done
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D) 4.77 cm done
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question_answer67) Find the area of the figure shown below.
A) 9 sq. cm done
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B) 10 sq. cm done
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C) 11 sq. cm done
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D) 15 sq. cm done
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question_answer68) DIRECTIONS: The questions in this segment consists of two statements, one labelled as ?Assertion A? and the other labelled as ?Reason R?. You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Area of the equilateral triangle whose one side is 7 cm, is \[21.22\,c{{m}^{2}}.\] Reason: Area of the equilateral triangle is given as \[\frac{\sqrt{3}}{4}\times {{(side)}^{2}}.\]
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. done
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B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. done
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C) If Assertion is correct but Reason is incorrect. done
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D) If Assertion is incorrect but Reason is correct. done
clear
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question_answer69) DIRECTIONS: The questions in this segment consists of two statements, one labelled as ?Assertion A? and the other labelled as ?Reason R?. You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Altitude of a triangle whose area is \[45\,c{{m}^{2}}\]and base 15 cm is 5 cm. Reason: Area of a triangle\[=\frac{1}{2}\times \] base\[\times \]altitude
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. done
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B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. done
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C) If Assertion is correct but Reason is incorrect. done
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D) If Assertion is incorrect but Reason is correct. done
clear
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question_answer70) DIRECTIONS: The questions in this segment consists of two statements, one labelled as ?Assertion A? and the other labelled as ?Reason R?. You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Area of triangle, whose base is 9.6 cm, and the corresponding altitude is 5 cm, is \[24\,c{{m}^{2}}.\] Reason: Area of an equilateral triangle is\[\frac{\sqrt{3}}{4}\times {{(side)}^{2}}\]
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. done
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B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. done
clear
C) If Assertion is correct but Reason is incorrect. done
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D) If Assertion is incorrect but Reason is correct. done
clear
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question_answer71) DIRECTIONS: The questions in this segment consists of two statements, one labelled as ?Assertion A? and the other labelled as ?Reason R?. You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Area of an isosceles right triangle, if one of the equal sides is 20 cm long, is \[200\,c{{m}^{2}}.\] Reason: Area of rhombus\[=\]side\[\times \]altitude
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. done
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B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. done
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C) If Assertion is correct but Reason is incorrect. done
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D) If Assertion is incorrect but Reason is correct. done
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question_answer72) Consider the following statements. (i) The ratio of areas of two circles is \[4:25,\] if the ratio of their radii is \[2:5.\] (ii) If each side of a rhombus is 14 cm and its area is \[98\,c{{m}^{2}},\] then its altitude is 14 cm. (iii) The areas of two circles are in the ratio \[25:36.\] The ratio of their circumferences is \[5:6.\] Which of the statement is True or False?
A) TFT done
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B) TTF done
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C) FTT done
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D) FFT done
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question_answer73) Which of the following statement (s) is/are true about the area of a circle? (i) Area of a circle is equal to four times the area of a quadrant of same radius. (ii) Area of a circle cannot be divided into two equal parts. (iii) If the measure of diameter of a circle is given we can determine its area.
A) i and ii done
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B) i and iii done
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C) i, ii and iii done
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D) None of the above done
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question_answer74) Consider the following statements. (i) If the circumference and area of a circle are numerically equal, then the diameter is equal to 4. (ii) Radius of a circle whose area is \[25\pi ,\] is 5cm. Which of the statement is/are correct?
A) Either (i) or (ii) done
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B) Neither (i) nor (ii) done
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C) Both (i) and (ii) done
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D) Cannot say anything done
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question_answer75) Which of the following statement (s) is/are true about the area of a circle? (i) Area of a circle is equal to four times the area of a quadrant of same radius. (ii) Area of a circle cannot be divided into two equal parts. (iii) If the measure of diameter of a circle is given we can determine its area.
A) i and ii done
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B) i and iii done
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C) i, ii and iii done
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D) None of the above done
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question_answer76) Which of the following statements is true about area of a triangle? (i) Area of an equilateral triangle that has a side a is \[\frac{\sqrt{3}}{4}\times {{a}^{2}}\] (ii) Area of a triangle is equal to half of the product of base and its altitude. (iii) Both of the above (iv) None of these
A) Only (i) done
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B) (i) and (ii) done
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C) Both (i) and (ii) done
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D) Neither (i) nor (iii) done
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question_answer77) DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow Area between two concentric circles. Two circles are said to be concentric if they have a common center. Sometimes, we have to find the area between two concentric circles. For example, the area of a ring, the area of a circular field having a circular pond in the middle. So, let us consider two concentric circles with r as the radius of the inner circle and R as the radius of the outer circle. Area between the circles \[=\] Area of outer circle\[\]Area of the inner circle \[=\pi {{R}^{2}}\pi {{r}^{2}}=\pi ({{R}^{2}}{{r}^{2}})\] A 7m wide path is to be constructed all around, and outside a circular garden of diameter 112m. The cost of constructing the path at Rs. 50 per square meter is
A) Rs. 13090 done
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B) Rs. 130900 done
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C) Rs. 1309 done
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D) Rs. 13000 done
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question_answer78) DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow Area between two concentric circles. Two circles are said to be concentric if they have a common center. Sometimes, we have to find the area between two concentric circles. For example, the area of a ring, the area of a circular field having a circular pond in the middle. So, let us consider two concentric circles with r as the radius of the inner circle and R as the radius of the outer circle. Area between the circles \[=\] Area of outer circle\[\]Area of the inner circle \[=\pi {{R}^{2}}\pi {{r}^{2}}=\pi ({{R}^{2}}{{r}^{2}})\] The radius of a circular sheet of metal is 14 m. A circular piece of sheet is cut out from its center. This piece has a radius of 7 m. The area of the sheet left is
A) 462 sq. m done
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B) 642 sq. m done
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C) 426 sq. m done
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D) 246 sq. m done
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question_answer79) DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow Area between two concentric circles. Two circles are said to be concentric if they have a common center. Sometimes, we have to find the area between two concentric circles. For example, the area of a ring, the area of a circular field having a circular pond in the middle. So, let us consider two concentric circles with r as the radius of the inner circle and R as the radius of the outer circle. Area between the circles \[=\] Area of outer circle\[\]Area of the inner circle \[=\pi {{R}^{2}}\pi {{r}^{2}}=\pi ({{R}^{2}}{{r}^{2}})\] A circular pond has a 50 cm wide footpath along the edge. A man walks around the outer edge of the footpath with 66 cm long steps. In 200 steps, he makes a full round. The radius of the pond is
A) 20 m done
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B) 50 m done
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C) 20 cm done
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D) 20.50 m done
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question_answer80) DIRECTIONS: Passage ? 2 Read the passage(s) given below and answer the questions that follow A rectangular park is of dimensions 90 m by 80 m. Four paths pass through the park such that two paths each of width 2m are parallel to the breadth and two paths each of width 3 m are parallel to the length. Total area of the two roads along the length is
A) \[270\,{{m}^{2}}\] done
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B) \[810\,{{m}^{2}}\] done
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C) \[540\,{{m}^{2}}\] done
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D) \[504\,{{m}^{2}}\] done
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question_answer81) DIRECTIONS: Passage ? 2 Read the passage(s) given below and answer the questions that follow A rectangular park is of dimensions 90 m by 80 m. Four paths pass through the park such that two paths each of width 2m are parallel to the breadth and two paths each of width 3 m are parallel to the length. Total area of the two roads along the breadth is
A) \[320\,{{m}^{2}}\] done
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B) \[160\,{{m}^{2}}\] done
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C) \[230\,{{m}^{2}}\] done
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D) \[270\,{{m}^{2}}\] done
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question_answer82) DIRECTIONS: Passage ? 2 Read the passage(s) given below and answer the questions that follow A rectangular park is of dimensions 90 m by 80 m. Four paths pass through the park such that two paths each of width 2m are parallel to the breadth and two paths each of width 3 m are parallel to the length. Total area of the four roads is
A) \[386\,{{m}^{2}}\] done
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B) \[836\,{{m}^{2}}\] done
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C) \[863\,{{m}^{2}}\] done
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D) \[368\,{{m}^{2}}\] done
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question_answer83) DIRECTIONS: Passage ? 2 Read the passage(s) given below and answer the questions that follow A rectangular park is of dimensions 90 m by 80 m. Four paths pass through the park such that two paths each of width 2m are parallel to the breadth and two paths each of width 3 m are parallel to the length. Area of the remaining portion of the park is
A) \[6364\,{{m}^{2}}\] done
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B) \[6463\,{{m}^{2}}\] done
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C) \[6634\,{{m}^{2}}\] done
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D) \[6346\,{{m}^{2}}\] done
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question_answer84) The shape of a park is rectangular at the middle and semicircular at the ends as shown below. The area of shaded portion is
A) \[84\,c{{m}^{2}}\] done
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B) \[85\,c{{m}^{2}}\] done
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C) \[45\,c{{m}^{2}}\] done
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D) \[88\,c{{m}^{2}}\] done
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question_answer85) Area of shaded square formed by the joining the midpoints of the sides of a square with area\[16\,{{m}^{2}}\]is
A) \[16\,{{m}^{2}}\] done
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B) \[4\,{{m}^{2}}\] done
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C) \[10\,{{m}^{2}}\] done
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D) \[8\,{{m}^{2}}\] done
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question_answer86) The area of shape given below is
A) \[20\,c{{m}^{2}}\] done
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B) \[19.9\,c{{m}^{2}}\] done
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C) \[18\,c{{m}^{2}}\] done
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D) \[17\,c{{m}^{2}}\] done
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question_answer87) The area of shaded region of the figure given below is
A) \[78.5\,c{{m}^{2}}\] done
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B) \[30.5\,c{{m}^{2}}\] done
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C) \[42.8\,c{{m}^{2}}\] done
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D) \[47\,c{{m}^{2}}\] done
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question_answer88) In the following figure, the area of shaded region is
A) \[32.2\,c{{m}^{2}}\] done
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B) \[24.4\,c{{m}^{2}}\] done
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C) \[35.4\,c{{m}^{2}}\] done
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D) \[31.4\,c{{m}^{2}}\] done
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question_answer89) In the following figure, the area of shaded region is
A) \[75\,c{{m}^{2}}\] done
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B) \[77\,c{{m}^{2}}\] done
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C) \[\frac{231}{4}\,c{{m}^{2}}\] done
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D) \[\frac{77}{4}\,c{{m}^{2}}\] done
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question_answer90) In the given fig. ABCD is a parallelogram. \[\text{DL}\bot \text{AB}\] and \[\text{DM}\bot \text{BC}\text{.}\] If AB = 18cm, BC = 12cm and DM = 10 cm. Find DL.
A) \[6\frac{1}{2}cm\] done
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B) \[6cm\] done
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C) \[6\frac{2}{3}cm\] done
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D) None of these done
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question_answer91) A plot is in the form of a rectangle ABCD having semicircle on BC as shown in figure. The semicircle portion is grassy while the remaining plot is without grass. The area of the plot without grass where AB = 60 m and BC = 28 m is:
A) \[3722\,{{m}^{2}}\] done
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B) \[1372\,{{m}^{2}}\] done
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C) \[926\,{{m}^{2}}\] done
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D) None of these done
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question_answer92) In the given figure, ABCD is a field in the form of a quadrilateral whose sides are indicated. If \[\angle DAB=90{}^\circ .\]The area of field is:
A) \[306\,{{m}^{2}}\] done
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B) \[307\,{{m}^{2}}\] done
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C) \[308\,{{m}^{2}}\] done
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D) \[309\,{{m}^{2}}\] done
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question_answer93) An athletic track 14 m wide consists of two straight sections 130 m long joining semicircular ends whose inner radius in 3.5 m. The area of the shaded region is:
A) \[4564\,{{m}^{2}}\] done
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B) \[5566.04\,{{m}^{2}}\] done
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C) \[99909\,{{m}^{2}}\] done
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D) None of these done
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question_answer94) DIRECTIONS: The questions in this segment consists of two statements, one labelled as "Assertion A" and the other labelled as "Reason R". You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Area of a rhombus shaped field, whose each of the sides is 14 cm and the altitude is 1.6 dm, is 22\[\text{c}{{\text{m}}^{2}}\]. Reason: Area of rhombus = Base\[\times \]Altitude
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. done
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B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. done
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C) If Assertion is correct but Reason is incorrect. done
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D) If Assertion is incorrect but Reason is correct. done
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question_answer95) DIRECTIONS: The questions in this segment consists of two statements, one labelled as "Assertion A" and the other labelled as "Reason R". You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: The length of a rectangular plot is 1.5 times its breadth 20% of its perimeter is 20 meters. The area of the plot is 600\[{{\text{m}}^{2}}\]. Reason: Area of rectangle is given as product of length and breadth.
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. done
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B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. done
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C) If Assertion is correct but Reason is incorrect. done
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D) If Assertion is incorrect but Reason is correct. done
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question_answer96) DIRECTIONS: The questions in this segment consists of two statements, one labelled as "Assertion A" and the other labelled as "Reason R". You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: If the area of a square with side 'a' is equal to the area of a triangle with base 'a', than the altitude of the triangle is 'a'. Reason: The area of a circle of radius 5 cm is numerically 250 percent of its circumference.
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. done
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B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. done
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C) If Assertion is correct but Reason is incorrect. done
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D) If Assertion is incorrect but Reason is correct. done
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