A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

What is the quantity of water should be added to a 75 litre mixture of milk and water so that the percentage of milk in the mixture decrease from 75% to 45%?

Directions :- Read the given information carefully and answer the following questions.

There are four hostels i.e. A, B, C and D.

In hostel A: Number of boys are 120 and number of girls are 30% more than that of number of girls in

hostel B.

In hostel B: Number of boys are double than that of number of girls.

In hostel C: Number of boys are 100 more than that of boys in hostel A and total boys and girls in C is 1000.

In hostel D: Number of boys is 182 more than the number of boys in hostel A. Average of number of girls of hostel A and that of hostel D is 223.Number of boys in hostel D is 98 less that of boys in hostel B.

 If 20 boys from each hostel left their hostel then find the average of remaining number of boys in all the hostels?

What time is shown by the mirror if the real-time is 9:27?

Given that 10^0.48 = x, 10^0.70 = y and x² = y², then the value of z is close to

O and C are respectively the orthocentre and the circumcentre of an acute angled triangle POR. The points P and O are joined and produced to meet the side QR at S. If ∠POS=60⁰ and ∠QCR = 130°, then ∠RPS = ?

Solve for x if $$ {x^{a^{3}}}.x^{b^{3}}.x^{3ab(a+b)}=(2^{5})^{25},a+b=5 $$

Ram deposited a certain sum of money in a company at 12 % per annum simple interest for 4 years and deposited equal amount in fixed deposit in a bank for 5 years at 15 % per annum simple interest. If the difference in the interest from two sources is ₹ 1350 than the sum deposited in each case is