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Question: a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a ... | b ) 16 | mathqa |
Question: in filling a room with gas 100 m * 10 m * 10 m the volumes of gas will be ?
Options: a ) 100 cu . m, b ) 1000 cu . m, c ) 10000 cu . m, d ) 100000 cu . m, e ) 10000000 cu . m | c ) 10000 cu . m | mathqa |
Question: a right triangle is inscribed in a circle . the legs of the triangle have lengths 6 and 8 . what is the diameter of the circle ?
Options: a ) 8, b ) 8 π, c ) 9 √ 3, d ) 10, e ) 12 | d ) 10 | mathqa |
Question: four equal circles are described about the four corners of a square so that each touches two of the others . if a side of the square is 14 cm , then the area enclosed between the circumferences of the circles is :
Options: a ) 24 cm 2, b ) 42 cm 2, c ) 154 cm 2, d ) 196 cm 2, e ) none of these | b ) 42 cm 2 | mathqa |
Question: george ' s car calls for 8 ounces of oil for each cylinder used . his car ' s engine has 6 cylinders . if 16 ounces of oil has already been put into the engine used , then how many additional ounces of oil are needed ?
Options: a ) 16, b ) 48, c ) 64, d ) 32, e ) 8 | d ) 32 | mathqa |
Question: eight cubes , each with a volume of 512 cm ^ 3 , are joined to form one large cube . what is the surface area of the large cube ?
Options: a ) 4096 sq cm, b ) 1536 sq cm, c ) 1024 sq cm, d ) 2048 sq cm, e ) 512 sq cm | b ) 1536 sq cm | mathqa |
Question: a rectangular floor that measures 24 meters by 64 meters is to be covered with carpet squares that each measure 8 meters by 8 meters . if the carpet squares cost $ 24 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?
Options: a ) $ 200, b ) $ 576, c ) $ 480, d ) $ 96... | b ) $ 576 | mathqa |
Question: abcd is a square . e and f are the midpoints of sides cd and bc , respectively . what is the ratio of the shaded region area to the unshaded region ?
Options: a ) 1 : 1, b ) 2 : 1, c ) 3 : 1, d ) 5 : 3, e ) 8 : 3 | d ) 5 : 3 | mathqa |
Question: the area of a rhombus is equal to the area of a square whose side length is 8 cm . if one of the diagonals is 16 cm what is the length of other diagonal ?
Options: a ) 4, b ) 8, c ) 12, d ) 16, e ) 20 | b ) 8 | mathqa |
Question: cuboid volume and base area are 144 m ^ 3 and 18 m ^ 3 respectively . find the height of a cuboid ?
Options: a ) 5 m, b ) 12 m, c ) 6 m, d ) 8 m, e ) 10 m | d ) 8 m | mathqa |
Question: an iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm . if the sides of the sheet are in the ratio 1 : 5 , the sides are :
Options: a ) 10 cm 20 cm, b ) 2 cm 10 cm, c ) 100 cm 20 cm, d ) 30 cm 100 cm, e ) none | a ) 10 cm 20 cm | mathqa |
Question: if the length of the sides of two cubes are in the ratio 4 : 1 , what is the ratio of their total surface area ?
Options: a ) 4 : 1, b ) 6 : 1, c ) 8 : 1, d ) 16 : 1, e ) 64 : 1 | d ) 16 : 1 | mathqa |
Question: in a school having roll strength 286 , the ratio of boys and girls is 8 : 5 . if 22 more girls get admitted into the school , the ratio of boys and girls becomes
Options: a ) 12 : 7, b ) 10 : 7, c ) 8 : 7, d ) 4 : 3, e ) none | d ) 4 : 3 | mathqa |
Question: the ratio of sum of squares of first n natural numbers to square of sum of first n natural numbers is 17 : 325 . the value of n is
Options: a ) 15, b ) 25, c ) 35, d ) 30, e ) none of these | b ) 25 | mathqa |
Question: in an electric circuit , two resistors with resistances m and n are connected in parallel . in this case , if p is the combined resistance of these two resistors , then the reciprocal of p is equal to the sum of the reciprocals of m and n . what is p in terms of m and n ?
Options: a ) ( n - m ), b ) mn / ( m ... | b ) mn / ( m + n ) | mathqa |
Question: the dimensions of an open box are 50 cm , 40 cm and 23 cm . its thickness is 2 cm . if 1 cubic cm of metal used in the box weighs 0.5 gms , find the weight of the box .
Options: a ) 8.04 kg, b ) 8.14 kg, c ) 8.24 kg, d ) 9.04 kg, e ) none of these | a ) 8.04 kg | mathqa |
Question: a certain rectangular crate measures 12 feet by 16 feet by 18 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ?
Options: a ) 4, b ... | d ) 8 | mathqa |
Question: a man walking at the rate of 6 km per hour crosses a square field diagonally in 9 seconds the area of the field is
Options: a ) 110 sq . m, b ) 111.5 aq . m, c ) 112.5 sq . m, d ) 114 sq . m, e ) none of these | c ) 112.5 sq . m | mathqa |
Question: the area of a triangle is with base 4 m and height 5 m ?
Options: a ) 11, b ) 10, c ) 99, d ) 17, e ) 12 | b ) 10 | mathqa |
Question: if a square mirror has a 20 - inch diagonal , what is the approximate perimeter e of the mirror , in inches ?
Options: a ) 40, b ) 60, c ) 80, d ) 100, e ) 120 | b ) 60 | mathqa |
Question: hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is :
Options: a ) 720, b ) 900, c ) 1200, d ) 1800, e ) 2100 | c ) 1200 | mathqa |
Question: abcd is a square . f and e are the midpoints of sides ad and cd , respectively . the area of triangle fed is 2 square inches . what is the area of square abcd ( in square inches ) ?
Options: a ) 4, b ) 8, c ) 16, d ) 32, e ) 64 | c ) 16 | mathqa |
Question: if the radius of a circle is increased by 12 % , then the area of the circle
Options: a ) decreases by 25.44 %, b ) increases by 25.44 %, c ) no change in area, d ) decreases by 12 %, e ) none | b ) increases by 25.44 % | mathqa |
Question: if two sides of a triangle are 6 and 13 , respectively , which of the following could not be the area of this triangle ?
Options: a ) 40, b ) 6, c ) 17, d ) 29, e ) 38 | a ) 40 | mathqa |
Question: a cylinder with 6 meter radius and 12 meter height is filled to capacity with water . if the content of the cylinder is used to fill several smaller cylinders of 4 meter diameter and 8 meter height , how many smaller cylinders will be filled to capacity ?
Options: a ) 13, b ) 12, c ) 4, d ) 16, e ) 18 | a ) 13 | mathqa |
Question: if each edge of a cube is doubled , then its volume :
Options: a ) becomes 8 times, b ) becomes 9 times, c ) is double, d ) becomes 6 times, e ) none | a ) becomes 8 times | mathqa |
Question: carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 10 inches tall . carmen places her sculpture on a base that is 4 inches tall . how tall are the sculpture andbase together ?
Options: a ) 3.17 feet, b ) 3.2 feet, c ) 3.3 feet, d ) 3.4 feet, e ) 3.5 feet | a ) 3.17 feet | mathqa |
Question: if the space diagonal of cube c is 5 inches long , what is the length , in inches , of the diagonal of the base of cube c ?
Options: a ) 5 / ( √ 6 ), b ) 5 · √ ( 2 / 3 ), c ) 5 · √ ( 3 / 2 ), d ) 5 · √ 3, e ) 5 · √ 6 | b ) 5 · √ ( 2 / 3 ) | mathqa |
Question: the parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places )
Options: a ) 77.14 cm, b ) 47.14 cm, c ) 84.92 cm, d ) 94.94 cm, e )... | e ) 23.57 cm | mathqa |
Question: a rectangular box 60 m long and 40 m wide has two concrete crossroads running in the middle of the box and rest of the box has been used as a lawn . the area of the lawn is 2109 sq . m . what is the width of the road ?
Options: a ) 3 m, b ) 4 m, c ) 5 m, d ) 6 m, e ) 2 m | a ) 3 m | mathqa |
Question: the diagonal of a rectangle is 41 cm and its area is 20 sq . cm . the perimeter of the rectangle must be :
Options: a ) 18 cm, b ) 28 cm, c ) 30 cm, d ) 38 cm, e ) 42 cm | a ) 18 cm | mathqa |
Question: after an ice began to melt out from the freezer , in the first hour lost 3 / 4 , in the second hour lost 3 / 4 of its remaining . if after two hours , the volume is 0.4 cubic inches , what is the original volume of the cubic ice , in cubic inches ?
Options: a ) 2.5, b ) 3.0, c ) 4.0, d ) 6.4, e ) 8.0 | d ) 6.4 | mathqa |
Question: a rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing . if the poles of the fence are kept 4 metres apart , how many poles will be needed ?
Options: a ) 55, b ) 70, c ) 57, d ) 58, e ) none of these | b ) 70 | mathqa |
Question: if the capacity of a cylindrical tank is 1848 m 3 and the diameter of its base is 14 m , then find the depth of the tank .
Options: a ) 10, b ) 11, c ) 12, d ) 13, e ) none of them | c ) 12 | mathqa |
Question: if each side of a rectangle is increased by 100 % , by what % the area increases ?
Options: a ) 100 %, b ) 200 %, c ) 250 %, d ) 300 %, e ) 400 % | d ) 300 % | mathqa |
Question: tim ' s garden is shaped like a square whose side is 28 meters . what ' s the length of the fence which surrounds the garden ?
Options: a ) 110 meters, b ) 111 meters, c ) 112 meters, d ) 113 meters, e ) 114 meters | c ) 112 meters | mathqa |
Question: a square carpet with an area 169 m 2 must have 2 metres cut - off one of its edges in order to be a perfect fit for a rectangular room . what is the area of rectangular room ?
Options: a ) 180 m 2, b ) 164 m 2, c ) 152 m 2, d ) 143 m 2, e ) none of these | d ) 143 m 2 | mathqa |
Question: two parallel sides of a trapezium are 4 cm and 5 cm respectively . the perpendicular distance between the parallel sides is 6 cm . find the area of the trapezium .
Options: a ) 24 cm 2, b ) 25 cm 2, c ) 26 cm 2, d ) 27 cm 2, e ) 28 cm 2 | d ) 27 cm 2 | mathqa |
Question: a ring x of diameter 16 inches is placed inside another ring y of diameter of 18 inches . how much fraction of the ring x surface is not covered by the ring y ?
Options: a ) 13 / 15, b ) 12 / 4, c ) 16 / 17, d ) 22 / 16, e ) 17 / 81 | e ) 17 / 81 | mathqa |
Question: two equilateral triangle of side 12 cm are placed one on top another , such a 6 pionted star is formed if the six vertices lie on a circle what is the area of the circle not enclosed by the star ?
Options: a ) 21, b ) 88937, c ) 269, d ) 279, e ) 2701 | a ) 21 | mathqa |
Question: a square has a side 5 centimeters shorter than the side of a second square . the area of the larger square is four times the area of the smaller square . find the side of each square
Options: a ) 5, b ) 6, c ) 7, d ) 8, e ) 9 | a ) 5 | mathqa |
Question: paper charge is rs . 60 per kg . how much expenditure would be there to cover a cube of edge 10 m with a paper , if one kg of paper covers 20 sq . m . area ?
Options: a ) rs . 2250, b ) rs . 3600, c ) rs . 2700, d ) rs . 1800, e ) none of these | d ) rs . 1800 | mathqa |
Question: the ratio of three numbers is 1 : 2 : 4 and the sum of their squares is 4725 . the sum of the numbers is ?
Options: a ) a ) 10, b ) b ) 12, c ) c ) 15, d ) d ) 14, e ) e ) 9 | c ) c ) 15 | mathqa |
Question: what positive number , when squared , is equal to the cube of the positive square root of 17 ?
Options: a ) 64, b ) 32, c ) 8, d ) 4, e ) 2 | c ) 8 | mathqa |
Question: a cylinder is being filled with sand weighing 200 kg per cubic foot . the cylinder has a diameter of 1 foot and is 5 feet tall . how much sand is being used ? ?
Options: a ) 250 pi kg, b ) 500 pi kg, c ) 500 pi ^ 2 kg, d ) 1000 pi kg, e ) 1000 pi ^ 2 kg | a ) 250 pi kg | mathqa |
Question: if a tire rotates at 400 revolutions per minute when the car is traveling 120 km / h , what is the circumference of the tire ?
Options: a ) 7 meters, b ) 9 meters, c ) 8 meters, d ) 5 meters, e ) 3 meters | d ) 5 meters | mathqa |
Question: an isosceles triangle with sides 13 13 10 and there is a circle inscribed it . find the radius of circle ?
Options: a ) 1.32, b ) 3.33, c ) 3.58, d ) 4.34, e ) 5.18 | b ) 3.33 | mathqa |
Question: find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm ?
Options: a ) 600, b ) 881, c ) 767, d ) 261, e ) 121 | a ) 600 | mathqa |
Question: in a parallelogram , the length of one diagonal and the perpendicular dropped on that diagonal are 30 and 20 metres respectively . find its area
Options: a ) 600 m 2, b ) 540 m 2, c ) 680 m 2, d ) 574 m 2, e ) none of these | a ) 600 m 2 | mathqa |
Question: what is the measure of the angle e made by the diagonals of the any adjacent sides of a cube .
Options: a ) 30, b ) 45, c ) 60, d ) 75, e ) 90 | c ) 60 | mathqa |
Question: a square and an equilateral triangle have the same perimeter . what is the ratio of the area of the circle circumscribing the square to the area of the circle inscribed in the triangle ?
Options: a ) 9 : 8, b ) 15 : 8, c ) 27 : 8, d ) 8 : 9, e ) 8 : 15 | c ) 27 : 8 | mathqa |
Question: a lady grows cauliflower in her garden that is in the shape of a square . each cauliflower takes 1 square foot of area in her garden . this year , she has increased her output by 223 cauliflower when compared to last year . the shape of the area used for growing the cauliflower has remained a square in both t... | c ) 12544 | mathqa |
Question: if ( 20 ) ² is subtracted from the square of a number , the answer so obtained is 4321 . what is the number ?
Options: a ) 68, b ) 69, c ) 70, d ) 71, e ) 72 | b ) 69 | mathqa |
Question: the content of several smaller cylinders ( 3 meter diameter and 6 meter height ) were to be emptied into a larger cylinder ( 20 meter diameter and 10 meter height ) , how many smaller cylinders will fill up the larger cylinder ?
Options: a ) 20, b ) 10, c ) 50, d ) 74, e ) 73 | d ) 74 | mathqa |
Question: in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 5 , 1 ) , ( 1 , 1 ) , ( 1 , - 4 ) and ( - 5 , - 4 ) ?
Options: a ) 20, b ) 30, c ) 40, d ) 55, e ) 48 | b ) 30 | mathqa |
Question: let the sides of a rectangular prism are consecutive multiples of 5 . which among the following could be the base area
Options: a ) 360, b ) 450, c ) 560, d ) 670, e ) 780 | b ) 450 | mathqa |
Question: the dimensions of a rectangular solid are 6 inches , 5 inches , and 8 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespher... | d ) 10 : 19 | mathqa |
Question: two identical circles intersect such that their centers and the points at which they intersect form a square of side 4 cm . what is the area of the region where the two circles intersect ?
Options: a ) 16 - 4 pi, b ) 4 - pi, c ) 2 pi - 4, d ) 8 pi - 16, e ) pi ^ 2 - 4 | d ) 8 pi - 16 | mathqa |
Question: if the length of a rectangle is increased by 20 % and the breadth is reduced by 20 % , what will be the effect on its area ?
Options: a ) 4 % increase, b ) 6 % increase, c ) 5 % decrease, d ) 4 % decrease, e ) none of these | d ) 4 % decrease | mathqa |
Question: the radius of a cylindrical vessel is 7 cm and height is 3 cm . find the whole surface of the cylinder ?
Options: a ) 520 sq cm, b ) 840 sq cm, c ) 440 sq cm, d ) 120 sq cm, e ) 5 sq cm | c ) 440 sq cm | mathqa |
Question: if the radius of the sphere is 14 m . then its total surface area is
Options: a ) 2644, b ) 2446, c ) 2464, d ) 6442, e ) 6424 | c ) 2464 | mathqa |
Question: a hemispherical bowl is made of 0.5 cm thick steel . inner radius of the bowl is 4 cm . the volume of steel used in making the bowl is
Options: a ) 55.83 cm 3, b ) 56.83 cm 3, c ) 113.67 cm 3, d ) 58.83 cm 3, e ) none of these | b ) 56.83 cm 3 | mathqa |
Question: the area of rectangular field of length 90 meters and breadth 80 meters is equal to the area of a square plot . what will be the length of the diagonal of the square plot ?
Options: a ) 100 m, b ) 120 m, c ) 95 m, d ) 80 m, e ) 150 m | b ) 120 m | mathqa |
Question: the volume of a wall , 5 times as high as it is broad and 8 times as long as it is high , is 12.8 cu . meters . find the breadth of the wall .
Options: a ) 40, b ) 29, c ) 28, d ) 27, e ) 12 | a ) 40 | mathqa |
Question: a rectangular room 14 m long , 12 m broad is surrounded by a varandah , 3 m wide . find the area of the varandah ?
Options: a ) 170, b ) 180, c ) 190, d ) 210, e ) 150 | b ) 180 | mathqa |
Question: the base of a triangle is 15 cm and height is 12 cm . the height of another triangle of double the area having the base 20 cm is :
Options: a ) 22 cm, b ) 20 cm, c ) 18 cm, d ) 10 cm, e ) none of these | c ) 18 cm | mathqa |
Question: the mass of 1 cubic meter of a substance is 200 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters )
Options: a ) 1, b ) 2, c ) 3, d ) 4, e ) 5 | e ) 5 | mathqa |
Question: smita was making a cube with dimensions 5 * 5 * 5 using 1 * 1 * 1 cubes . what is the number of cubes needed to make a hollow cube looking of the same shape ?
Options: a ) 98, b ) 104, c ) 100, d ) 61, e ) 51 | a ) 98 | mathqa |
Question: if the radii of umbra and penumbra cast by an object on a wall are of the ratio 2 : 6 , what is the area of the penumbra ring around the umbra of the latter ’ s radius is 40 cms ?
Options: a ) 40288.57 cm ^ 2, b ) 40388.57 cm ^ 2, c ) 40488.57 cm ^ 2, d ) 40588.57 cm ^ 2, e ) 40688.57 cm ^ 2 | a ) 40288.57 cm ^ 2 | mathqa |
Question: four horses are tethered at four corners of a square plot of side 63 metres so that they just can not reach one another . the area left ungrazed is :
Options: a ) 675.5 m 2, b ) 780.6 m 2, c ) 785.8 m 2, d ) 850.5 m 2, e ) 950.5 m 2 | d ) 850.5 m 2 | mathqa |
Question: a cubic object 3 ' ' x 3 ' ' x 3 ' ' is painted blue on all the outside surfaces , including the top and bottom . if the cube is cut into 27 cubes of 1 ' ' x 1 ' ' x 1 ' ' , how many 1 ' ' cubes do have any painted surfaces ?
Options: a ) 15, b ) 22, c ) 26, d ) 33, e ) 44 | c ) 26 | mathqa |
Question: rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 3 / 5 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ?
Options: a ) 5 / 3, b ) 9 / 5, c ) 9 / 25, d ) 3 / 5, e ) 25 / 9 | c ) 9 / 25 | mathqa |
Question: the area of a square field is 4802 m ( power ) 2 the length of its diagonal is :
Options: a ) 98 m, b ) 102 m, c ) 95 m, d ) 105 m, e ) 96 m | a ) 98 m | mathqa |
Question: the area of the house of a hall is 20 m 2 that of a longer wall 10 m 2 and of the shorter wall 8 m 2 , find the edge of the new cube ?
Options: a ) 45 m 3, b ) 40 m 3, c ) 60 m 3, d ) 600 m 3, e ) 300 m 3 | b ) 40 m 3 | mathqa |
Question: the floor of a rectangular room is 15 m long and 12 m wide . the room is surrounded by a verandah of width 2 m on all its sides . the area of the verandah is :
Options: a ) 124 m 2, b ) 120 m 2, c ) 108 m 2, d ) 58 m 2, e ) none of these | a ) 124 m 2 | mathqa |
Question: if the diagonals of a rhombus are 24 cm and 10 cm , what will be its perimeter
Options: a ) 42 cm, b ) 64 cm, c ) 56 cm, d ) 52 cm, e ) none of these | d ) 52 cm | mathqa |
Question: square p is inscribed in circle q . if the perimeter of p is 40 , what is the circumference of q ?
Options: a ) 11 √ 2 π, b ) 10 √ 2 π, c ) 9 √ 2 π, d ) 8 √ 2 π, e ) 7 √ 2 π | b ) 10 √ 2 π | mathqa |
Question: how many cubes of edge 2 dm can be cut out of a meter cube ?
Options: a ) 296, b ) 289, c ) 270, d ) 125, e ) 278 | d ) 125 | mathqa |
Question: a snooker tournament charges $ 40.00 for vip seats and $ 10.00 for general admission ( “ regular ” seats ) . on a certain night , a total of 320 tickets were sold , for a total cost of $ 7,500 . how many fewer tickets were sold that night for vip seats than for general admission seats ?
Options: a ) 190, b ) ... | e ) 148 | mathqa |
Question: a gardener changed the size of his rectangle shaped garden by increasing it ' s length by 40 % & decreasing is ' s width by 20 % . find area of new garden .
Options: a ) 1.04, b ) 1.12, c ) 1.24, d ) 1.4, e ) 1.5 | b ) 1.12 | mathqa |
Question: a goat is tied to one corner of a square plot of side 12 m by a rope 7 m long . find the area it can graze ?
Options: a ) 32, b ) 36.5, c ) 38.5, d ) 39, e ) 39.5 | c ) 38.5 | mathqa |
Question: the height of the wall is 6 times its width and lenght of the wall is 7 times its height . if the volume of the wall be 16128 cu . m . its width is
Options: a ) 4 m, b ) 5 m, c ) 6 m, d ) 7 m, e ) 8 m | a ) 4 m | mathqa |
Question: how many pieces can a square pizza be cut into by making 4 linear cuts ?
Options: a ) 10, b ) 11, c ) 12, d ) 13, e ) 14 | b ) 11 | mathqa |
Question: two cylinders are of the same height . their radii are in the ratio 1 : 3 . if the volume of the first cylinder is 40 cc . find the volume of the second cylinder ?
Options: a ) 360 cc, b ) 60 cc, c ) 300 cc, d ) 36 cc, e ) 39 cc | a ) 360 cc | mathqa |
Question: a semicircle is drawn with ab as its diameter . from c , a point on ab , a line perpendicular to ab is drawn , meeting the circumference of the semicircle at d . given that ac = 2 cm and cd = 6 cm , the area of the semicircle in square cm will be ?
Options: a ) 30 pi, b ) 40 pi, c ) 50 pi, d ) 60 pi, e ) 70 p... | c ) 50 pi | mathqa |
Question: the height of cylinder is 14 cm and its diameter is 10 cm . the volume of the cylinder is :
Options: a ) 4400, b ) 2200, c ) 5500, d ) 1100, e ) 3300 | d ) 1100 | mathqa |
Question: tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 5 meters and a circumference of 4 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?
Options... | a ) 10 % | mathqa |
Question: if a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet , what is the length of each of the shorter sides ?
Options: a ) 4, b ) 7, c ) 8, d ) 13, e ) 26 | c ) 8 | mathqa |
Question: what is the sum of the squares of the first 20 natural numbers ( 1 to 20 ) ?
Options: a ) 2870, b ) 2000, c ) 5650, d ) 6650, e ) 7650 | a ) 2870 | mathqa |
Question: find the length of the wire required to go 10 times round a square field containing 53824 m 2 .
Options: a ) 15840, b ) 9280, c ) 2667, d ) 8766, e ) 66711 | b ) 9280 | mathqa |
Question: a trainer is standing in one corner of a square ground of side 25 m . his voice can be heard upto 140 m . find the area of the ground in which his voice can be heard ?
Options: a ) 12300, b ) 14500, c ) 15400, d ) 16700, e ) 18200 | c ) 15400 | mathqa |
Question: in a rectangular coordinate system , what is the area of a triangle whose vertices have the coordinates ( - 1 , 0 ) , ( 7 , 4 ) , and ( 7 , - 4 ) ?
Options: a ) 29, b ) 30, c ) 31, d ) 32, e ) 33 | d ) 32 | mathqa |
Question: some students are standing in a circle in which 6 th and the 16 th student are standing opposite to each other . find how many students were present there .
Options: a ) 10, b ) 15, c ) 20, d ) 25, e ) 30 | c ) 20 | mathqa |
Question: how much space , in cubic units , is left vacant when maximum number of 4 x 4 x 4 cubes are fitted in a rectangular box measuring 10 x 12 x 16 ?
Options: a ) 0, b ) 36, c ) 180, d ) 216, e ) 384 | e ) 384 | mathqa |
Question: the sum of four consecutive even numbers is 36 . find the sum of the squares of these numbers ?
Options: a ) 296, b ) 252, c ) 344, d ) 388, e ) none of these | c ) 344 | mathqa |
Question: a rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square tiles , all of the same size . what is the largest size of the tile which could be used for the purpose ?
Options: a ) 14 cms, b ) 21 cms, c ) 42 cms, d ) none of these, e ) 56 cms | b ) 21 cms | mathqa |
Question: a cubical tank is filled with water to a level of 1 foot . if the water in the tank occupies 16 cubic feet , to what fraction of its capacity is the tank filled with water ?
Options: a ) 1 / 2, b ) 1 / 3, c ) 1 / 4, d ) 1 / 5, e ) 1 / 6 | c ) 1 / 4 | mathqa |
Question: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard for... | d ) 75 | mathqa |
Question: what is the area of an equilateral triangle whose one side length is 90 ?
Options: a ) 4025 √ 3, b ) 3525 √ 3, c ) 3025 √ 3, d ) 2525 √ 3, e ) 2025 √ 3 | e ) 2025 √ 3 | mathqa |
Question: the area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm is ?
Options: a ) 0.35 cm 2, b ) 17.5 cm 2, c ) 8.75 cm 2, d ) 55 cm 2, e ) 50 cm 2 | c ) 8.75 cm 2 | mathqa |
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