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In each of the questions 20-21 , there are two quantities : Quantity A and Quantity B. You are to compare those quantities . Quantities A 5 (a-7) Quantity B 5a - 7
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among three quantities. A. < B. > C. ≤ D. ≥ E. = Quantity 1: There is a square field of side 4 meter. A flower bed is to be prepared in its centre, leaving a gravelled path of uniform length around the flowerbed. The cost of preparing the flowerbed and gravelling the path is Rs. 100 and Rs. 200 per square meter respectively. If the total cost is Rs. 1756 then find the double of  width of gravelled path. Quantity 2: The height of a cone is 45 cm. A small cone is cut from it parallel to the base. If the ratio of volume of small cone and the remaining part is 8 : 19 then what is the height from the base from where the cone was cut? Quantity 3: A cylindrical container of radius 60 cm and height 150 cm is filled with ice cream. 10 cones of equal volume need to be prepared from the whole ice-cream. These cones has hemispherical top and the height of the conical portion is 4 times the radius of hemisphere. Find radius of the hemisphere. 
Given below are three quantities named 1, 2 and 3. Based on the information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among three quantities. A. <  B. = C. > D. ≤ E. ≥ Quantity 1: The average age of 36 students is 14 years. When the teacher’s age is included the average increases by 1 year. What is the age of the teacher? Quantity 2: The average salary of the entire staff in an office is Rs. 120 per month. The average salary of officers is Rs.460 and that of non- officers are Rs.110. if the number of officers is 15, then find the number of non-officers in the office. Quantity 3: 25
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among three quantities. A. < B. > C. ≤ D. ≥ E. = Quantity 1: A shopkeeper earns 20% profit by selling an item at Rs. P. If he increases the selling price by Rs. 90, he can make a profit of 35%. Find the value of P. Quantity 2: A shopkeeper earns x% profit even after allowing a discount of Rs. 126. Find the cost price of the article if the (x + 15)% profit is earned if no discount is offered. Quantity 3: When an article is sold for Rs. 984, the profit percentage is 4 times as much as when it is sold for Rs. 861. Find the cost price of the article. 
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationships between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among the three quantities. A. < B. > C. ≤ D. ≥ E. = Quantity 1: A shopkeeper earns a profit of 24% if he sells a product for Rs.186. What will be his profit percentage, if he sells the product for Rs.180? Quantity 2: A shopkeeper marks the price of a product 50% above its cost price and sells it at a discount of 20%. What is his profit percentage? Quantity 3: Mahesh sold a laptop to Shyam making a profit of 10%. Shyam sold it to Keshav making a profit of 12%. Keshav sold the laptop to Shital at a profit of 15%. By how much percentage the price of the laptop is increased?
Given below are three quantities named A, B and C. Based on the given information; you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. The options represent the relations between these three quantities A) > B) < C) = D) ≤ E) ≥ Two pipes P and Q can fill an empty tank in 20 minutes and 30 minutes respectively. Quantity A: If both pipes are opened simultaneously, then after what certain time P should be closed so that further time after which the tank is filled in 15 minutes? Quantity B: If both are opened and P is closed after 8 minutes, how much further time would it take for Q to fill the bucket? Quantity C: Pipe A and B can fill a tank in 15 minutes and 10 minutes respectively. Pipe C can empty the tank in 5 minutes. Pipe A and B are opened simultaneously and after the 4-minute pipe, C is also opened. In what time the tank will be emptied?
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: The ratio of the volumes of the quantities of milk and water in a mixture is 4 : 1. If 5 liters of water is further added to it, the new ratio becomes 3 : 2. Find the quantity of water in new mixture. Quantity B: In a mixture of 35 litres, the ratio of acid and water is 3 : 4. How much water should be added to the mixture to make the ratio 3 :5. Find the quantity of water is a new mixture.
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose from the possible answers. Quantity A: The population of a company was 20000 three years ago. It is increased by 5%, 10% and N% respectively in the last three years. If the present population of the company is 24948, then the value of N is: Quantity B: A trader purchased 70 quantities of similar bags at a rate of Rs. 275 each. He fixed the marked price of each bag at Rs. 330 and allowed a discount of 10% on the marked price. What is the percentage profit?
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and knowledge of Mathematics to choose between the possible answers. There are two jars which contain different liquids in different quantities Quantity I∶ Quantity of water in Jar 1, if Jar 1 contains mixture of 230 litres which contain juice, water, coke and pepsi. Ratio of quantity of water to juice is 2 : 1 and juice to coke is also 2 ∶ 1 while the ratio of quantity of coke to pepsi is 3 ∶ 2 Quantity II∶ Quantity of water in Jar 2, if Jar 2 contains 10 litres of mixture more than jar 1 and contains juice, coke and water. Water, juice and coke is poured into the jar 8 times in the ratio 3 ∶ 2 ∶ 1. Every time the quantity of a liquid is same.
Given below are three quantities named A, B and C. Based on the given information, you have to determine the relationships between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among the three quantities. A. < B. > C. ≤ D. ≥ E. = Quantity A: The average of a batsman after 75 innings was 83 runs per innings. If after the 76th inning his average drops by 1 run, then what was his score in the 76th inning? Quantity B: The average marks of a group of 20 students on a test are reduced by 4 when the topper who scored 87 marks is replaced by a new student. How many marks did the new student have? Quantity C: The average age of a husband and wife was 23 years when they were married 5 years ago. The average age of the husband, the wife, and a child who was born during the interval, is 20 years now. How old is the child now?