
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\[c{{m}^{2}}\] done
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C) 4.8 sq m done
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D) 48\[c{{m}^{2}}\] done
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question_answer2) 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_answer3) A playground which is 250 m long and 20 m broad is to be fenced with wire. How much wire is needed?
A) 270m done
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B) 230m done
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C) 540m done
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D) None of these done
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question_answer4) 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_answer5) The length of diagonal of a square whose area is 16900\[{{m}^{2}}\] is
A) 130m done
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B) \[130\sqrt{2}\,m\] done
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C) 169m done
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D) 144m done
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question_answer6) 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_answer7) The length of a rectangle is increased by 60% By what percentage would be 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_answer8) The area of a triangle with each side equals 5.1 metres and the third side 4.6 metres is
A) 10.47sq. m done
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B) 2.86 sq. m done
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C) 10.45sq. m done
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D) None of these done
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question_answer9) 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_answer10) The breadth of a rectangle is 19 cm. Its length is 3 times longer than its breadth. Find the area of the rectangle.
A) 152\[c{{m}^{2}}\] done
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B) 418\[c{{m}^{2}}\] done
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C) 1083\[c{{m}^{2}}\] done
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D) 1140\[c{{m}^{2}}\] done
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question_answer11) The perimeter of a square and an equilateral triangle are same. If the side of an equilateral triangle is 8 cm, what is the area of the square?
A) 16 sq.cm done
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B) 8 sq.cm done
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C) 24 sq. cm done
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D) 36 sq. cm done
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question_answer12) A boy runs six rounds around a rectangular park whose length and breadth are 200 m and 50m. Find how much distance did he run in six rounds?
A) 1500m done
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B) 3km done
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C) 500m done
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D) 1km done
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question_answer13) The perimeter of an equilateral triangle and of a square measure the same. Which of the following can be the measures of the side of the equilateral triangle and of the square?
A) Equilateral triangle = 9 cm; Square = 12cm done
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B) Equilateral triangle = 12 cm; Square = 9 cm done
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C) C. Equilateral triangle =15 cm; Square = 10cm done
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D) D. Equilateral triangle = 6 cm; Square = 4 cm done
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question_answer14) Two cubes have volume in the ratio 1 : 27. The ratio of the area of the face of one cube to that of the other is
A) 1 : 3 done
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B) 1 : 9 done
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C) 1 : 6 done
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D) 1 :8 done
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question_answer15) The volume of a cube is V. The total length of its edges is:
A) \[6{{V}^{2/3}}\] done
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B) \[8\sqrt{V}\] done
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C) \[12{{V}^{2/3}}\] done
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D) \[12{{V}^{1/3}}\] done
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question_answer16) The perimeter of one face of a cube is 20 cm. Its volume must be
A) 8000\[c{{m}^{3}}\] done
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B) 1000\[c{{m}^{3}}\] done
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C) 125\[c{{m}^{3}}\] done
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D) 400\[c{{m}^{3}}\] done
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question_answer17) Cubes and cuboids are the examples of
A) irregular solids done
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B) rectangular solids done
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C) twodimensional solids done
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D) None of these done
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question_answer18) What would happen to the volume and surface area of cuboid if all its dimensions are doubled?
A) New volume4 (original volume) New surface area = 4 (original surface area) done
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B) New volume = 8 (original volume) New surface area = 4 (original surface area) done
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C) New volume = 4 (original volume) New surface area = 8 (original surface area) done
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D) New volume = 8 (original volume) New surface area = 8 (original surface area) done
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question_answer19) The side of a square is 10 cm. How many times will the new perimeter become if the side of the square is doubled?
A) 2 times done
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B) 4 times done
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C) 6 times done
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D) 8 times done
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question_answer20) Fill in the blanks by choosing the correct option. (i) A cube is a special type of______. (ii) In a cuboid, if all the dimensions are equal then the solid is called a ______. (iii) A line segment whose end points lie on the circle is called______ to the circle. (iv) Each face of the cuboid is ______.
A) (i)  cube; (ii)  cuboid; (iii)  secant; (iv)  square. done
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B) (i)  cube; (ii)  cuboid; (iii)  tangent; (iv)  square. done
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C) (i)  cuboid; (ii)  cube; (iii)  secant; (iv)  rectangular. done
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D) (i)  cuboid; (ii)  cube; (iii)  chord; (iv)  rectangular. done
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question_answer21) DIRECTIONS: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns.
A) \[A\to (t);\,B\to (s);\,C\to (r);\,D\to (p);\,E\to (q)\] done
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B) \[A\to (t);\,B\to (s);\,C\to (q);\,D\to (p);\,E\to (r)\] done
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C) \[A\to (s);\,B\to (t);\,C\to (p);\,D\to (q);\,E\to (r)\] done
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D) \[A\to (s);\,B\to (t);\,C\to (q);\,D\to (p);\,E\to (r)\] done
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question_answer22) DIRECTIONS: Passage1 Read the passage(s) given below and answer the questions that follow. "In the figure, ABC and DEF are quadrants of radius 7 cm. The shaded portion is a square of side 3 cm. What is the area of the figure including the shaded portion. \[\left( \pi =\frac{22}{7} \right)\]
A) \[34\,c{{m}^{2}}\] done
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B) \[38.5\,c{{m}^{2}}\] done
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C) \[77\,c{{m}^{2}}\] done
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D) \[163\,c{{m}^{2}}\] done
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question_answer23) DIRECTIONS: Passage1 Read the passage(s) given below and answer the questions that follow. "In the figure, ABC and DEF are quadrants of radius 7 cm. The shaded portion is a square of side 3 cm. What is the total area of the quadrants ABC and DEF?
A) \[154\,c{{m}^{2}}\] done
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B) \[38.5\,c{{m}^{2}}\] done
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C) \[77\,c{{m}^{2}}\] done
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D) \[34\,c{{m}^{2}}\] done
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question_answer24) DIRECTIONS: Passage2 Read the passage(s) given below and answer the questions that follow. 'Observe the figure carefully and answer the questions that follows. Area of the shaded portion is
A) \[116\,c{{m}^{2}}\] done
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B) \[616\,c{{m}^{2}}\] done
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C) \[176\,c{{m}^{2}}\] done
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D) \[308\,c{{m}^{2}}\] done
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question_answer25) DIRECTIONS: Passage2 Read the passage(s) given below and answer the questions that follow. 'Observe the figure carefully and answer the questions that follows. Perimeter of the given figure is
A) 116cm done
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B) 616cm done
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C) 176cm done
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D) 308cm done
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question_answer26) Consider the following statements: (i) The perimeter of a square is four times the length of the side. (ii) If the length and breadth of a rectangle are doubled then its perimeter is doubled.
A) (i) is true while (ii) is false. done
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B) (ii) is true while (i) is false. done
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C) Both (i) and (ii) are true. done
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D) Both (i) and (ii) are false. done
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question_answer27) Consider the following statements. (i) The face of a solid is two  dimensional in shape. (ii) Volume of the solid is measured in cubic units. (iii) Perimeter of a triangle with sides a, b, c is 3a + 3b + 3c. Read the above three statements carefully and choose the correct option.
A) (i) and (ii) are true but (iii) is false. done
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B) (ii) and (iii) are true but (i) is false. done
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C) All three (i), (ii) and (iii) are true. done
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D) All three (i), (ii) and (iii) are false. done
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question_answer28) Choose the correct definition from the following. (i) The amount of space enclosed by the bounding surface is called the volume of the solid. (ii) In a cuboid, if all the dimensions are not equal then the solid is called a cube. (iii) A rectangle is a closed figure having four sides, in which all sides are equal and each angle measures\[60{}^\circ \].
A) Only (i) 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) Only (ii) done
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question_answer29) Read the diagram given below carefully and answer the questions that follow Area of shaded regions
A) \[641\,c{{m}^{2}}\] done
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B) \[164\,c{{m}^{2}}\] done
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C) \[224\,c{{m}^{2}}\] done
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D) \[160\,c{{m}^{2}}\] done
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question_answer30) Read the diagram given below carefully and answer the questions that follow Area of ABEF is
A) \[26\,c{{m}^{2}}\] done
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B) \[14\,c{{m}^{2}}\] done
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C) \[12\,c{{m}^{2}}\] done
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D) \[168\,c{{m}^{2}}\] done
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question_answer31) Read the diagram given below carefully and answer the questions that follow If the shaded portion is cut out from the whole figure then the area of remaining figure is
A) \[164\,c{{m}^{2}}\] done
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B) \[168\,c{{m}^{2}}\] done
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C) \[124\,c{{m}^{2}}\] done
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D) \[142\,c{{m}^{2}}\] done
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question_answer32) Observe the figure carefully and answer the question. In the given figure, O and P are the centres of two equal threequarter circles. The length of OP is 14 cm. The perimeter of the figure is \[\left( \text{use}\,=\pi =\frac{22}{7} \right)\]
A) 50 done
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B) 94 done
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C) 49 done
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D) 95 done
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question_answer33) 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_answer34) Area of the shaded figure is
A) 2400 sq m done
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B) 48 sq m done
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C) 50 sq m done
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D) 98 sq m done
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question_answer35) 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_answer36) Find the area of the shaded portion in the figure.
A) \[12\,c{{m}^{2}}\] done
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B) \[20\,c{{m}^{2}}\] done
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C) \[36\,c{{m}^{2}}\] done
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D) \[48\,c{{m}^{2}}\] done
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question_answer37) What is the total area of the 2 identical squares shown below?
A) \[32\,c{{m}^{2}}\] done
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B) \[64\,c{{m}^{2}}\] done
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C) \[128\,c{{m}^{2}}\] done
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D) \[135\,c{{m}^{2}}\] done
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question_answer38) Find the area of shaded portion if radii of inner and outer circle are 210 mm and 224 mm respectively.
A) 19096 sq. mm done
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B) 47040 sq. mm done
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C) 13860 sq. mm done
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D) 21624 sq. mm done
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question_answer39) A rectangular lawn 12m long and 7 m wide has path 2 m wide all around it from outside. Find the area of the path around the lawn.
A) 176sq.m done
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B) 92sq.m done
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C) 84 sq. m done
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D) None of these done
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question_answer40) Find the area of figure given below
A) 5 sq. units done
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B) 6 sq. units done
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C) 7 sq. units done
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D) 8 sq. units done
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question_answer41) The length and breadth of a rectangular plot are 900 m and 700 m respectively. If three rounds offence is fixed around the field at the cost of Rs. 8 per meter, the total amount spent is
A) Rs. 768 done
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B) Rs. 7680 done
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C) Rs. 76, 800 done
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D) Rs. 768, 000 done
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question_answer42) The sides of a triangle are 11 cm, 15 cm and 16 cm. 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_answer43) The ratio between the length and the perimeter of a rectangular plot is 1 : 3 and the ratio between the breadth and perimeter of that plot is 1 : 6. What is the ratio between the length and area of that plot?
A) 2 : 1 done
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B) 1 : 6 done
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C) 1 : 8 done
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D) Data inadequate done
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question_answer44) A rectangular carpet has an area of 120 \[{{m}^{2}}\]and a perimeter of 46 m. The length of its diagonal is
A) 15m done
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B) 16m done
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C) 17m done
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D) 20m done
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question_answer45) A man walked 20 m to cross a rectangular field diagonally If the length of the field is 16 m, the breadth of the field is
A) 4 m done
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B) 16m done
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C) 12m done
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D) cannot be determined done
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question_answer46) The perimeter of a rectangle is 36 cm. The measure of its length and breadth are natural. How many such rectangles are possible?
A) 2 done
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B) 8 done
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C) 9 done
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D) 18 done
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question_answer47) The volume of a cube is numerically equal to the sum of the lengths of its edges. What is its total surface area in square units?
A) 64 done
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B) 144 done
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C) 36 done
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D) 72 done
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question_answer48) Three cubes of a metal are of edges 3 cm, 4 cm and 5 cm. These are melted together and from the melted material, another cube is formed. The edge of this cube is
A) 8 cm done
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B) 10 cm done
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C) 9cm done
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D) 6cm done
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question_answer49) The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3. The length, breadth and height of the cuboid are increased by 100%, 200% and 200%, respectively. Then, the increase in the volume of the cuboid will be:
A) 5 times done
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B) 6 times done
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C) 12 times done
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D) 17 times done
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question_answer50) The number of revolutions made by a wheel of diameter 56 cm in covering a distance of 1.1 km is \[\left( \text{Use}\,\pi =\frac{22}{7} \right)\]
A) 31.25 done
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B) 56.25 done
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C) 625 done
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D) 62.5 done
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question_answer51) Let A be the area of a square inscribed in a circle of a radius r and let B be the area of a hexagon inscribed in the same circle. Then the ratio \[\frac{B}{A}\] equals
A) \[2\sqrt{3}\] done
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B) \[\frac{3\sqrt{3}}{4}\] done
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C) \[\frac{2\sqrt{3}}{4}\] done
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D) None of these done
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question_answer52) From a square sheet of paper a circle of maximum possible size is cut. The area of the remaining portion is
A) Equal to \[\frac{1}{4}\] the area of the circle. done
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B) Greater than \[\frac{1}{4}\] the area of the circle done
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C) Less than \[\frac{1}{4}\] the area of the circle done
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D) Equal to \[\frac{1}{4}\] the area of the square. done
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question_answer53) Venu jogged round a rectangular field 4 times. If the rectangular field was 135 m long and 78 m wide, how far did Venu jog?
A) 426 m done
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B) 852 m done
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C) 1278 m done
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D) 1704 m done
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question_answer54) What is the distance around a rectangular pond if the area of the pond is 80 \[{{m}^{2}}\] and its breadth is 5m?
A) 16m done
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B) 32m done
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C) 42m done
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D) 75m done
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question_answer55) DIRECTIONS: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns. Choose the correct option
A) \[A\to (t);\,B\to (s);\,C\to (r);\,D\to (q);\,E\to (p)\] done
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B) \[A\to (t);\,B\to (s);\,C\to (q);\,D\to (r);\,E\to (p)\] done
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C) \[A\to (s);\,B\to (t);\,C\to (q);\,D\to (r);\,E\to (p)\] done
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D) \[A\to (s);\,B\to (q);\,C\to (t);\,D\to (p);\,E\to (r)\] done
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question_answer56) DIRECTIONS: Passage1 Read the passage(s) given below and answer the questions that follow. Read the information given below. A circular disc of area \[{{A}_{1}}\] is given with its radius as the diameter for a circular disc of area \[{{A}_{2}}\] is cut out of it. The area of the remaining disc is denoted by \[{{A}_{3}}\] then (i) \[{{A}_{1}}{{A}_{3}}<16A_{2}^{2}\] (ii)\[{{A}_{1}}{{A}_{3}}\,>16A_{2}^{2}\] (iii) \[{{A}_{1}}{{A}_{3}}=16A_{2}^{2}\] Which of the following is 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) None of these done
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question_answer57) DIRECTIONS: Passage2 Read the passage(s) given below and answer the questions that follow. Following is the arrangement of various rooms in a house. Answer the following questions. Perimeter of floor of wash room is
A) 4m done
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B) 3m done
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C) 12m done
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D) 7m done
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question_answer58) DIRECTIONS: Passage2 Read the passage(s) given below and answer the questions that follow. Following is the arrangement of various rooms in a house. Answer the following questions. Area of bedroom is
A) \[20\,{{m}^{2}}\] done
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B) \[99\,{{m}^{2}}\] done
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C) \[88\,{{m}^{2}}\] done
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D) \[72{{m}^{2}}\] done
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question_answer59) DIRECTIONS: Passage2 Read the passage(s) given below and answer the questions that follow. Following is the arrangement of various rooms in a house. Answer the following questions. If Mr. Verma wants to construct a lawn from the portion of living room then the perimeter of lawn is
A) 12m done
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B) 5m done
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C) 12.5m done
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D) 5.12m done
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question_answer60) DIRECTIONS: Passage3 Read the passage(s) given below and answer the questions that follow. In the given diagram, the shaded region is a large circle with a small circle cut out of it. The large circle has radius 30 cm and centre H. HK is the diameter of the small circle. Find the area of shaded region.
A) \[2121.74\,c{{m}^{2}}\] done
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B) \[2011.14\,c{{m}^{2}}\] done
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C) \[200.4\,c{{m}^{2}}\] done
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D) \[1904.44\,c{{m}^{2}}\] done
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question_answer61) DIRECTIONS: Passage3 Read the passage(s) given below and answer the questions that follow. In the given diagram, the shaded region is a large circle with a small circle cut out of it. The large circle has radius 30 cm and centre H. HK is the diameter of the small circle. Find the perimeter of the shaded region.
A) 280.5cm done
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B) 282.85cm done
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C) 285cm done
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D) 283.5cm done
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question_answer62) DIRECTIONS: Passage4 Read the passage(s) given below and answer the questions that follow. The perimeter of a large triangle ABC is 24 cm. Find area of ADEF. D, E and F are mid points of AB, AC and BC respectively.
A) \[2\sqrt{3}\,c{{m}^{2}}\] done
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B) \[2\sqrt{4}\,c{{m}^{2}}\] done
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C) \[3c{{m}^{2}}\] done
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D) \[3\sqrt{3}\,c{{m}^{2}}\] done
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question_answer63) DIRECTIONS: Passage5 Read the passage(s) given below and answer the questions that follow. The area of a circle whose radius is 6 cm is trisected by two concentric circles. The radius of smallest circle is \[2\sqrt{3}\,cm\].
A) done
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B) done
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C) done
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D) done
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question_answer64) 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 a square has a length of 4 cm, then its perimeter is 8 cm. Reason (R): Perimeter of a square is given by the summation of all of its sides.
A) Both A and R are true and R is the correct explanation of A. done
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B) Both A and R are true but R is not the correct explanation of A. done
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C) A is true but R is false. done
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D) A is false but R is true. done
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question_answer65) 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 base and height of a triangle are 6 cm and 8 cm respectively, they its area is \[24\,c{{m}^{2}}\]. Reason (R): Area of a triangle \[=\frac{1}{2}\times \] base x height.
A) Both A and R are true and R is the correct explanation of A. done
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B) Both A and R are true but R is not the correct explanation of A. done
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C) A is true but R is false. done
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D) A is false but R is true. done
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question_answer66) Consider the following statements (i) A rectangle of length 9 cm and width 4 cm has greater area than a square of side 6 cm (ii) Rectangle and square, both have the same area.
A) (i) is true and (ii) is false. done
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B) (ii) is true and (i) is false. done
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C) Both (i) and (ii) are true. done
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D) Both (i) and (ii) are false. done
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question_answer67) Read the following statements and choose the correct answer. (i) If the circumference of a circle increases from 4p to 8p then new area = 4 x original area. (ii) When the circumference of a toy balloon is increased from 20 cm to 25 cm, its radius (in cm) is increased by \[\frac{5}{2\pi }\].
A) (i) is true while (ii) is false. done
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B) (i) is false while (ii) is true. done
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C) Both (i) and (ii) are true. done
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D) Both (i) and (ii) are false. done
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question_answer68) Length and breadth of a rectangular sheet of paper are 20 cm and 10 cm, respectively. A rectangular piece is cut from the sheet as shown in Fig. Which of the following statements is correct for the remaining sheet?
A) Perimeter remains same but area changes. done
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B) Area remains the same but perimeter changes. done
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C) Both area and perimeter are changing. done
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D) Both area and perimeter remain the same. done
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question_answer69) Find the area of shaded region if the perimeter of the square is 56 cm.
A) 196 sq.cm done
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B) 98 sq.cm done
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C) 154 sq.cm done
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D) 42 sq.cm done
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question_answer70) Sketch of a plot is given. Its dimensions are mentioned. Find the cost of levelling the plot at Rs.. 12 per \[{{m}^{2}}\].
A) Rs. 1,760 done
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B) Rs. 480 done
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C) Rs. 552 done
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D) Rs. 912 done
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question_answer71) In the adjoining figure. A, B, C and D are mid points of PS, PQ, QR, RS. respectively. The length and breadth of rectangle PQRS. are 25 cm and 18 cm respectively. Find the area of shaded portion.
A) 450 sq. cm done
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B) 112.5 sq. cm done
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C) 350 sq. cm done
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D) 225 sq. cm done
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question_answer72) The figure below is made up of a square and 2 rectangles. Study the figure carefully and answer questions 25 and 26. The perimeter of the figure is _______cm.
A) 52 done
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B) 58 done
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C) 62 done
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D) 66 done
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question_answer73) The figure below is made up of a square and 2 rectangles. Study the figure carefully and answer questions 25 and 26. The sum of the areas of the two rectangles is bigger than the area of the square by ______ \[c{{m}^{2}}\].
A) 10 done
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B) 14 done
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C) 32 done
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D) 36 done
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question_answer74) Two wires of similar lengths are used to form a rectangle and an equilateral triangle. The length of each side of the triangle is
A) 6cm done
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B) 12cm done
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C) 24cm done
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D) 36cm done
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question_answer75) The area of the shaded face of the cuboid is\[32\text{ }c{{m}^{2}}\]. Its height is 4 cm. What is its volume?
A) \[28\,c{{m}^{3}}\] done
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B) \[36\,c{{m}^{3}}\] done
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C) \[128\,c{{m}^{3}}\] done
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D) \[136\,c{{m}^{3}}\] done
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question_answer76) The ratio of the area of X to the area of Y is 5 : 8. If the area of Y is \[160\text{ }c{{m}^{2}}\], then total area of X and Y is
A) \[260\,c{{m}^{2}}\] done
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B) \[100\,c{{m}^{2}}\] done
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C) \[200\,c{{m}^{2}}\] done
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D) \[206\,c{{m}^{2}}\] done
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question_answer77) Given figure shows a semicircle in a quadrant. The perimeter of the shaded part is \[\left( \text{use}\,\pi =\frac{22}{7} \right)\]
A) 44cm done
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B) 88cm done
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C) 116cm done
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D) 72cm done
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question_answer78) On the basis of following information answer the questions given below: A square and 2 semicircles were cutout from a square cardboard as shown in the figure. (use \[\pi =3.14\]) The area of cardboard cutout is
A) \[324\,c{{m}^{2}}\] done
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B) \[400\,c{{m}^{2}}\] done
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C) \[714\,c{{m}^{2}}\] done
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D) \[314\,c{{m}^{2}}\] done
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question_answer79) On the basis of following information answer the questions given below: A square and 2 semicircles were cutout from a square cardboard as shown in the figure. (use \[\pi =3.14\]) The area of cardboard left is
A) \[714\,c{{m}^{2}}\] done
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B) \[900\,c{{m}^{2}}\] done
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C) \[300\,c{{m}^{2}}\] done
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D) \[186c{{m}^{2}}\] done
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question_answer80) A square piece of paper is folded as shown in the figure. If the area of each shaded triangles is 225 cm2, then the perimeter of the piece of the paper when it is unfolded, is
A) 100cm done
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B) 120cm done
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C) 125cm done
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D) 60cm done
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