Anil invests Rs. 22000 for 6 years in a certain scheme with 4% interest per annum, compounded half-yearly. Sunil invests in the same scheme for 5 years, and then reinvests the entire amount received at the end of 5 years for one year at 10% simple interest. If the amounts received by both at the end of 6 years are same, then the initial investment made by Sunil, in rupees, is

The minor angle between the hours hand and minutes hand of a clock was observed at 8:48 AM. The minimum duration, in minutes, after 8.48 am when this angle increases by 50% is

Gita sells two objects A and B at the same price such that she makes a profit of 20% on object A and a loss of 10% on object B. If she increases the selling price such that objects A and B are still sold at an equal price and a profit of 10% is made on object B, then the profit made on object A will be nearest to

Brishti went on an 8-hour trip in a car. Before the trip, the car had travelled a total of X km till then, where X is a whole number and is palindromic, i.e., X remains unchanged when its digits are reversed. At the end of the trip, the car had travelled a total of 26862 km till then, this number again being palindromic. If Brishti never drove at more than 110km/h , then the greatest possible average speed at which she drove during the trip, in km/h, was 

A mixture P is formed by removing a certain amount of coffee from a coffee jar and  replacing the same amount with cocoa powder. The same amount is again removed from  mixture P and replaced with same amount of cocoa powder to form a new mixture Q. If the  ratio of coffee and cocoa in the mixture Q is 16 : 9, then the ratio of cocoa in mixture P to that  in mixture Q is 

In a right-angled triangle ABC, the altitude AB is 5 cm, and the base BC is 12 cm. P and Q  are two points on BC such that the areas of ΔABP, ΔABQ and ΔABC are in arithmetic  progression. If the area of ΔABC is 1.5 times the area of ΔABP, the length of PQ, in cm, is

The number of all natural numbers up to 1000 with non-repeating digits is