For the first one if the angle is 45 then both x and y will be equal here angle is given as 44 now what you think which one will be bigger

for second one try to simplify the both side and then you get something easier to compare and to find which side is bigger

For third one

think of 5 blank possition

_ _ G _ _

here G is third and for next place to G we have only 3 choice cause H should not be there

_ 3 1 3 _

no for the first and last place we have only 2 choice left

2 3 1 3 2

ie 2*3*1*3*2 =>ans

for the last one I think you need to get the 10% off the 270 and that is

270-270*10%

and you will get the result

Its a permutation problem , hence it will be better if you calculate in how many ways each individual letter can be placed and then keep the letter in that position before moving for the next letter

I think this should be 23122 and not 23132?

_ _ G _ _ = 4 letters left

_ 3 G _ _ = 3 Possible letters excluding H

_ 3 G 2 _ = 2 Possible letters excluding H

2 3 G 2 _ = H or the one letter left

2 3 G 2 1 = Last letter

you are right and thanks for making me things clear