Latest Elitmus Aptitude Question SOLUTION: Let y={(1+ai)/(b-i)}^x,where a,b,x & y are integers.It is known that x is an even number greater than 100 but not divisible by 4.Which of the following statements will always the t

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(#M40037732) ELITMUS Category question Keep an EYE

Let y={(1+ai)/(b-i)}^x,where a,b,x & y are integers.It is known that x is an even number greater than 100 but not divisible by 4.Which of the following statements will always the true?
(a)both a & b are +ve but nt equal
(b)both a & b are -ve are nt equal
(c)both a&b are prime numbers and nt equal
(d)both a&b can take any values as long as they are equal

Asked In Elitmus Akriti Singh (9 years ago)

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Adarsha dash  (9 years ago)

Y = (1+ai/b-i)^x .. X is even number but not divisiable by 4, so x=2*odd no ..
Y= (1-a^2+2ai/b^2-1-2bi)^odd number .. (a+ix)^odd_number will always have a part containing (i) .. So dt will not be an integer .. So by check n trying option d , ..this will be the ans .. Cause nevegative whole numbers are also integers

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