HRA Exemption + Home Loan Deduction, Both together possible? #LLAShorts 27

Consider the letters of the word 'MATHEMATICS Possible number of words taking all letters at a time such that in each word both M’s are together and boths T’s are together but both A’s are not together is

Suppose a moving hydrogen atom makes a head on inelastic collision with a stationary hydrogen atom. Before collision, both atoms are ground state and after collision, they move together. What is the minimum velocity of the moving hydrogen atom if one of the atoms is to be given the minimum excitation energy after the collisions? Take m_H=1.0078 am u. 1.66xx10^(-27)kg.

Suppose a moving hydrogen atmo makes a head on inelastic collision with a stationary hydrogen atmo. Before collision both atoms are in ground state and after collision they move together. What is the minimum velocity of the moving hydrogen atom if one of the atom is to be given the minimum excitation energy after the collision ? (m_(H) = 1.0078 am u, 1 am u = 1.66 xx 10^(-27) kg)

Two tourist A and B who are at a distance of 40 km from their camp must reach it together in the shortest possible time. They have one bicycle and they decide to use it in turn. ‘A’ started walking at a speed of 5 km hr^(1) and B moved on the bicycle at a speed of 15 km hr^(1) . After moving certain distance B left the bicycle and walked the remaining distance. A, on reaching near the bicycle, picks it up and covers the remaining distance riding it. Both reached the camp together. (a) Find the average speed of each tourist. (b) How long was the bicycle left unused?

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. What is the distance between P and Q? I, Travelling on foot, Ram takes ten hours to reach P from his home but twenty hours to reach Q from his home. II. Ram walks at the speed of 4 km per hour. Give answer 1) if the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question. 2) if the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question. 3) if the data either in statement I alone or in statement II alone are sufficient to answer the question. 4) if the data even in both statements I and II together are not sufficient to answer the question. 5) if the data in both statements I and II together are necessary to answer the question.

Study the following table carefully and answer the questions given below it. Number of T.V. channels telecast in various cities in a year (Number in thousands). {:(,,"T.V.","Channels",,),("Cities","MTv","ESPN","Aaj TaK","CNBC","Sahara"),(A,14,23,27,0.7,0.5),(B,10.2,12,26,2,0.3),(C,7.5,7,10,1.8,0.6),(D,13.1,8,20,2,3.5),(E,19,15.6,13,5,2.1),(F,13,10.0,10.8,2.7,6.2):} If the number of MTv channel telecast in city B and E is increased by 8%. What will be the total number of MTv channels telecast in both the cities together ?