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i want concepts of reasoning

Should MUST always follow HAVE .Eg That MUST HAVE been really difficult for you.

since That is a singular why can't we use HAS in place of HAVE? 

I found something about MODALS in my google search but I didn't understand it.Please explain.

And one more doubt..

What is the difference between Doesn't and Don't..

Eg: He doesn't want to be killed..  but why doesn't ? why not don't...

What is the remainder when 8^8 is divided by 17? Plz mention the method.

CAT 2004 Question no.- 64..........In the first question germany might hav also played its 2nd game with pakistan also but in the solution provided you have considered new zealand & South Africa....y?

q28 di section cat 2007. How this question should be solved. By my method i am taking a lot of time. I am putting value in each of the option and then finding the percentage is there any way of eliminating the options?  Please refer question 28 of di section cat 2007

A man borrows 11700 at simple interest for 5 years and pays back the amount in 5 equal installments. What is the value of the installments 

A theif stole 3000 litres of petrol from a warehouse. He bought a old tanker which has capacity of 1000 ltrs and runs at 1 litre per meter. He wants to take this petrol from warehouse to point B which is at 1000 meter distance. How much litres of petrol can he transfer from one place to another? please explain me the solution to this question.

Sir Ap post MTS model papers

how to easy method to increase our speed for solb-ving simplification questions?

1,4,27,256,what is next number