Exam Maths Puzzle Numerical Ability

2 numbers haing 44 and 22 as their hcf and lcm respectively . if one of the no. is 11 then the other number is ?

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Abhishek wanted to give his wife agift but he want to decide the price of gift by playing a game. The gameis like there isa set f numbers from{1,2,3......3584}, They take half numbers everytime from anywhere in the set turn by turn .If Aishwaray takes first chance and take out 1792 numbers that is half f numbers and then abhishek take out half of the remaining that is 896 numbers from any where in the set and so on till 7 numbers remain in the set , Finally the cost is calculated as |g-a| from the set of remaining seven num, {a,b,c,d,e,f,g} . How should aishwarya play the game and in waht order should she take out the numbers so that cost of gift beacomes maximum , What would be the max value of |g-a| in how many ways can ram choose a vowel and a consonant from the letters of the word allahabad j