Q: What is the least number of squares tiles required to pave the floor of a room 15.17 m long and 9.02 m broad?
Solution: Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm. Area of each tile = 41×41cm2 Required number of tiles = 1517×90241×41= 814 The correct answer is: A) 814
Q: A wheel makes 1000 revolutions in covering a distance of 88 km. Find the radius of the wheel.
Solution: Distance covered in one revolution = 88×10001000= 88m. 2πR2=88 ⇒2×227×R=88 ⇒R=88×744 The correct answer is: A) 14
Q: Find the area of a right-angled triangle whose base is 12 cm and hypotenuse is 13cm.
Solution: Height of the triangle = 132-122=25 = 5 cm. Its area =12*base*height= 12*12*5= 30cm2. The correct answer is: A) 30
Q: A room is half as long again as it is broad. The cost of carpeting the at Rs. 5 per sq.m is Rs. 270 and the cost of papering the four walls at Rs. 10 per sq.m is Rs. 1720. If a door and 2 windows occupy 8 sq. m, find the dimensions of the room.
Solution: Let breadth = x metres, length = 3x metres, height = H metres. Area of the floor=(Total cost of carpeting)/(Rate) = (270/5) sq.m = 54 sq.m x×3x2=54⇒x2=54×2⇒x=6 So, breadth = 6 m and length =362 = 9 m. Now, papered area = (1720/10) = 172 sq.m Area of 1 door and 2 windows = 8 sq.m Total area of 4 walls = (172 + 8) sq.m = 180 sq.m 2×9+6H=180⇒H=6 The correct answers are: A) b, 6; l, 18; H, 6, 5; l, 6; H, 18, 6; b, 18; H, 15, 5; b, 18; H, 18
Q: From a container of wine, a thief has stolen 15 liters of wine and replaced it with same quantity of water.He again repeated the same process. Thus in three attempts the ratio of wine and water became 343:169. The initial amount of wine in the container was:
Solution: Wine (left)Water (added)=343169 It means Wine (left)Wine(initial amount)=343512 ∵ 343+169 = 512 Thus , 343x=512x1-15K3 ⇒343512=783=1-15k3 => K = 120 Thus the initial amount of wine was 120 liters. The correct answer is: D) 120 liters
Q: Of the 1000 inhabitants of a town, 60 % are males of whom 120 % are literate. If, of all the inhabitants, 25% are literate, then what percent of the females of the town are literate ?
Solution: Number of males = 60% of 1000 = 600. Number of females = (1000 - 600) = 400. Number of literates = 25% of 1000 = 250. Number of literate males = 20% of 600 = 120. Number of literate females = (250 - 120) = 130. Required pecentage = (130/400 * 100 ) % = 32.5 %. The correct answer is: A) 32.5 %
Q: A pump can fill a tank with water in 2 hours. Because of a leak, it took 213 hours to fill the tank. The leak can drain all the water of the tank in:
Solution: If the total area of pump=1 part The pumop take 2 hrs to fill 1 part The pumop take1 hour to fill 1/2 portion Due to lickage The pumop take 7/3 hrs to fill 1 part The pumop take1 hour to fill 3/7 portion Now the difference of area = (1/2-3/7)=1/14 This 1/14 part of water drains in 1 hour Total area=1 part of water drains in (1x14/1)hours= 14 hours So the leak can drain all the water of the tank in 14 hours. Leak will empty the tank in 14 hrs The correct answer is: D) 14 hours
Q: 10 25 45 54 60 75 85 Find the Odd Number?
Solution: In given Series, all the numbers except 54 are multiples of 5. The correct answer is: A) 54
| You Have Score | /8 |