If A × B means that A is the brother of B, A – B means that A is the sister of B, A + B means that A is the father of B then which of the following expression shows that P is the paternal aunt of R?

If C₁, C₂ be the centres of rwo circles and r₁, r₂ be the respective radii such that the distance between the centres is equal to the sum of the radii of the two circles, find the number of common tangents.

Direction: Study the following information carefully and answer the given questions.

Six persons P, Q, R, S, T, and U are living in a three-storey building such that ground floor is numbered as 1, above it is floor 2 then top floor is numbered as 3. Each of the floor has 2 flats in it as flat-X and flat-Y. FlatX of floor-2 is immediately above flat-X of floor-1 and immediately below flat-X of floor-3. In the same way flat-Y of floor-2 is immediately above flat-Y of floor-1 and immediately below flat-Y of floor-3. Flat-X is in west of flat-Y. They all are from different cities.

The one who is from Kolkata lives immediately above U. S lives to the west of U. P and the one who is from Kolkata do not live on the same floor. Neither S nor Q is from Bangalore. U is either from Pune or from Agra. There is one floor between Q and the one who is from Delhi who lives above Q. T does not live in flat Y. The one who is from Mumbai lives on the same floor on which the one who is from Agra lives. P lives on an odd numbered floor in flat X.

Who lives on the bottom most floor?

Directions: Study the following information carefully and answer the questions that follow:

Five persons T, N, R, C and G went to the market on different days of a week from Monday to Friday, but not necessarily in the same order. They wore different types of cloths among Cotton, Silk, Wool, Leather and Linen. Additional information about them is given below.

Three persons went to the market between the persons who wore Cotton and Leather. T wore Silk cloth and went on one of the days after C. C did not wear Linen. Two persons went to the market between R and N. R and G did not wear Leather. The number of persons who went to the market before N is more than the number of persons went to the market after N. C did not go to the market on Monday.

How many persons went to the market between T and N?

Which organ does detoxification and produces chemicals needed for digestion?

Who was the first chairman of 'Dholpur Prajamandal'? 

Who from the following Saints belongs to Mewat area?

 If $${1\over 4.263}=0.2346$$, find the value of $${1\over0.0004263}.$$