1. The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .A) 22 cmB) 24 cmC) 26 cmD) 28 cmAns. B We know perimeter of square = 4(side)So Side of first square = …
1. One side of rectangular field is 15 meter and one of its diagonals is 17 meter. Then find the area of the field.A) 120m2120m2120m2B) 130m2130m2130m2C) 140m2140m2140m2D) 150m2150m2150m2 Ans.A We know h2=b2+h2=>Other side =(17)2−(15)2−−−−−−−−−−−√=289−225−−−−−−−−√=64−−√=8meterArea=Length×Breadth=15×8m2=120m2We know h2=b2+h2=>Other side =(17)2−(15)2−−−−−−−−−−−√=289−225−−−−−−−−√=64−−√=8meterArea=Length×Breadth=15×8m2=120m2We know h2=b2+h2=>Other side =(17)2−(15)2−−−−−−−−−−−√=289−225−−−−−−−−√=64−−√=8meterArea=Length×Breadth=15×8m2=120m2 2. The ratio between the length and the breadth of a rectangular park …
1. A stream, which flows at a uniform rate of 2.5 km per hour, is 20 metres wide. If the depth of a certain ferry is 1.2 m, how many litres of water will pass through the ferry in a minute?A) 1000000B) 900000C) 500000D) None of theseAns. AThe total quantity of water = = = …
1. The volume of the largest right circular cone that can be cut out of a cube of edge 7 cm is:A) 79.8cm379.8cm379.8cm3B) 79.4cm379.4cm379.4cm3C) 89.8cm389.8cm389.8cm3D) 89.4cm389.4cm389.4cm3Ans. CVolume of the largest cone = Volume of the cone with diameter of base 7 and height 7 cmVolume of cone =13pr2h=13*227*3.5*3.5*7=269.53cm3=89.8cm3Volume of cone =13pr2h=13*227*3.5*3.5*7=269.53cm3=89.8cm3Volume of cone =13pr2h=13*227*3.5*3.5*7=269.53cm3=89.8cm3 (radius …
1. If a right circular cone of height 24 cm has a volume of 1232 cm cube, then the area of its curved surface is :A) 450cm2450cm2450cm2B) 550cm2550cm2550cm2C) 650cm2650cm2650cm2D) 750cm2750cm2750cm2Ans. BVolume is given, we can calculate the radius from it, then by calculating slant height, we can get curved surface area. 13*p*r2*h=123213*227*r2*24=1232r2=1232*7*322*24=49r=7Now, r = 7cm …
1. Two right circular cylinders of equal volumes have their heights in the ratio 1:2. Find the ratio of their radii.A) 3v:13v:13v:1B) 7v:17v:17v:1C) 2v:12v:12v:1D) 2:12:12:1Ans. CLet their heights be h and 2h and radii be r and R respectively then.pr2h=pR2(2h)=>r2R2=2hh=21=>rR=2v1=>r:R=2v:1pr2h=pR2(2h)=>r2R2=2hh=21=>rR=2v1=>r:R=2v:1pr2h=pR2(2h)=>r2R2=2hh=21=>rR=2v1=>r:R=2v:1 2. A cylindrical tank of diameter 35 cm is full of water. If 11 litres …
1. The perimeter of one face of a cube is 20 cm. Its volume will be:A) 125cm3125cm3125cm3B) 400cm3400cm3400cm3C) 250cm3250cm3250cm3D) 625cm3625cm3625cm3Ans. AEdge of cude = 20/4 = 5 cm Volume = a*a*a = 5*5*5 = 125 cm cube View Answer 2. The cost of the paint is Rs. 36.50 per kg. If 1 kg of paint …
1. Find the surface area of a 10cm*4cm*3cm brick.A) 154 cm squareB) 156 cm squareC) 160 cm squareD) 164 cm squareAns. DSurface area of a cuboid = 2(lb+bh+hl) cm squareSo, Surface area of a brick = 2(10*4+4*3+3*10) cm square = 2(82) cm square = 164 cm square 2. A cistern 6 m long and 4 …
Q.1 The hollow sphere, in which the circus motorcyclist performs his stunts, has a diameter of 7 m. Find the area available to the motorcyclist for riding. Solution : Diameter of the sphere = 7 m. Therefore, radius is 3.5 m. So, the ridingspace available for the motorcyclist is the surface area of the ‘sphere’ …
Q.1 Sanya has a piece of land which is in the shape of a rhombus. She wants her one daughter and one son to work on the land and produce different crops. She divided the land in two equal parts. If the perimeter of the land is 400 m and one of the diagonals is …
