Question
Water flows at the rate of 10 meter per minute from a
cylindrical pipe 5mm in diameter. How long it takes to fill up a conical vessel whose diameter at the base is 30cm and depth 24cm.Solution
let the radius of cylindrical tank =R =30/2=15cm, and height =H=24cm Given- speed of flow= 10m = 1000cm Diameter of base of cylindrical pipe = 5mm Radius =2.5mm = .25cm Now- Area of base ×speed of flow × time = Volume of the cylindrical tank 
 .25×.25×1000×t=1/3 ×15×15×24 t = 144/5 =28.8minute t=28minute 48second.
The average of n numbers is 64. If each of 56% of the numbers is increased by 15 and each of the remaining numbers is decreased by 10, then the n...
The number of students (boys + girls) in class 'A' is 96, and the ratio of the number of girls to boys in class 'A' is 2:1. If the average number of boy...
The average weight of five friends A, B, C, D and E is (x+8) years while the average weight of C and E is (x-8) kg. If the weight of another person F is...
An intern was paid a stipend of Rs. 1,792 for a period of 30 days calculated on daily basis. During this period, he was absent for 4 days and was fined ...
The average height of Nakul, Baneet, Preetam and Yash is 20 cm, while the average height of Nakul, Preetam and Yash is 16 cm. If height of Manish is 25%...
Mishti bought 20 kg apples for Rs 60 per kg, b kg apples for Rs 70 per kg and (b + 6) kg apples for Rs 50 per kg. She mixed all type of apples together ...
The average score obtained by 29 students in a class test is 68 marks. The top place was shared by 3 people who got the same score. If the lowest score ...
The average score of a student increased by 5 marks when he scored 210 marks in his 60th test. Find the average score of the student after 60 tests.
In a Company the average income of all the employees is Rs. 22000 per month. Recently the company announced an increment of Rs. 2000 per month for all t...
Average age of a class of 25 students is 13 years. Average age of the class is increased by 30 months if the age of the teacher is included. Find the ag...
