A invested an amount of x rupees in a bank at compound interest for 2 years which gave 5% interest in year 1 and 6% interest in year 2. The amount received after 2 years is Rs 24,486. What is the value of x?

Find the value of x.

If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of (a ²+ b ²+ c ²)?

Time taken by pipe P and Q to fill up the tank is 60/ 7 minutes and time taken to fill the whole tank when all three pipes are open is 300/ 23 minutes. Ratio of time taken by pipe P to fill up the tank and pipe Q is 3 : 4. Calculate time taken by Q and R to fill up the tank. (Pipe R is a drain pipe.)

At 46 km/h and 36 km/h, two trains of equal length are travelling in the same direction on parallel lines. What is the length of each train if the quicker train passes the slower train in 36 seconds?

Anup can row 33 km downstream and 35 km upstream in 8 hours. He can also row 44 km downstream and 28 km upstream in the same time. How much time (in hours) will he take to row 55 km downstream and 14 km upstream?

Find the value of the given expression.

8 workers can complete a work in (y+12) days, while 15 machines can complete the same work in (2y+6) days. If the efficiency ratio of a worker and a machine is 3 : 2, then in how many days will 6 workers and 3 machines together complete the work?

What number must be added to each of the numbers 8, 13, 26 and 40 so that the numbers obtained in this order are in proportion?

A man starts running from point P at 11 : 00 a.m. with a speed of 10 km/hr. He runs for 2 hours and then takes a 1 hour rest. He continues this till he is caught by another man who starts at 2 : 00 p.m. from point P and runs non-stop at a speed of 15 km/hr towards the first man. At what time (in p.m.) will the first man be caught?