Which of the following is a salient feature of Mathematics curriculum as envisaged in National Curriculum Framework 2005 ?
A and B can fill a tank in 10 hrs and 15 hrs respectively, but C can empty in 12 hrs. Pipes A, B and C starts at 1 pm, 2 pm and 3 pm respectively. At what time will the tank be totally filled?
A and B can fill a tank in 9 hrs and 12 hrs respectively. But C can empty in 18 hours. Pipes A, B & C start at 3 pm, 4 pm and 5 pm respectively. At what time will the tank be filled?
A tank can be filled by pipe A in 2 hours and Pipe B in 6 hours. At 10 am, pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 am?
A fort had provision of food for 150 men for 85 days. After 15 days, 25 men left the fort.
Find the number of days for which the remaining food will last.
Rajeshwar can do a piece of work in 12 days, Vikram in 6 days and Tiger in 15 days.
They all start the work together, but Rajeshwar leaves after 2 days and Vikram leaves 3 days before the work is completed. In how many days is the work completed?
Amit invests a sum of INR 5400 and Gopal invests a sum of INR 9400 at the same rate of
simple interest per annum. If, at the end of 4 years, Gopal gets INR 480 more interest than Amit, then find the rate of interest per annum (in percentage).
Two pipes A and B can fill a tank in 10 and 15 minutes respectively. Both the pipes are opened together but 10 minutes before the tank is full pipe A is closed in how many minutes the tank will totally fill?
Two pipes A and B can fill a tank in 36 minutes and 24 minutes respectively. Both pipes are opened together. But 12 minutes before the tank will fill, pipe B is closed. In how much time will the tank be totally filled ?
Two trains , each 180 m long , are moving towards each other on parallel tracks at speeds of 50 km/hr and 70 km/hr. In how many seconds will they completely cross each other ?
Two pipes A and B can fill a tank in 12 and 16 minutes respectively. Both the pipes are opened together but 4 minutes before the tank is full pipe A is closed in how many minutes the tank will totally fill?
The average age of 48 students of a class is 22 years. If the age of the teacher is also included, the average age of the whole group becomes 23 years. The age (in years) of the teacher is:
The price (per litre) of petrol increases by 60%. By what percent should its consumption
be reduced such that the expenditure on it increases by 12% only?
Two trains are moving in opposite directions at speeds of 60 km/h and 110 km/h. The length of one train is 360 m. The time taken by them to cross each other is 21 seconds.
The length (in m) of the other train, correct to 2 decimal places, is:
Nitin has INR 1617 with him. He divided it amongst his sons Pravin and Rishi and asked them to invest it at 10% rate of interest compounded annually. It was seen that Pravin and Rishi got same amount after 17 and 18 years respectively. How much (in INR) did Nitin give to Pravin?
A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 26% less than what is written on it. Find his profit percentage.
Rachin travels a distance at 60 km/hr for 2 hours and 80 km at 40 km/hr. Find the average speed of Rachin (in km/hr).
A customer could not decide between a discount of 40% or two successive discounts of 25% and 15% to buy a certain article. What is the difference between both the discounts?
A shopkeeper has one spherical laddoo of radius 7 cm. With the same material, how
many laddoos of radius 3.5 cm can be made?
A shopkeeper bought an article for INR 520. At what price (in INR) should he sell the article to make 10% profit?
A candidate scores 25% marks and fails by 68 marks, while another candidate, who scores 50% marks, gets 42 marks more than the minimum required marks to pass the examination. Find the maximum marks for the examination.
Sarang invested some money in HDFC at 4% per annum rate of interest. What would be the corresponding simple interest (in &) if after 2 years, Sarang got #153 as compound interest, considering annual compounding?
There are two pipes leading to a tank. The A pipe fills the tank in 7 minutes and the B pipe in 21 minutes. Both pipes are opened together. After some time, the pipe A is closed. If it takes 12 minutes to fill tank completely, then for how long is the B pipe alone open?
There are two pipes leading to a tank. If pipe X alone is opened, the tank will be filled in 20 minutes. If pipe Y alone is opened, the tank will be filled in 25 minutes. Both pipes were opened together. After some time, pipe Y was closed. If it takes 15 minutes to fill the tank completely, then for how long is the pipe X left open
There are two pipes leading to a tank. If pipe X alone is opened, the tank will be filled in 20 minutes. If pipe Y alone is opened, the tank will be filled in 25 minutes. Both pipes were opened together. After 5 minutes, pipe Y was closed. How long should pipe Y be left open to fill the rest of the tank?
In a certain code language, 'TEDI' is coded as '11' and 'SUCBVO' is coded as '13'. How is
'YXJIAZL' coded in the given language?