Latest Elitmus Aptitude Question SOLUTION: let Y={(1+ai)/(b-i)}^X where a,b,Xand 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 be

• Placement Papers
• /
• Elitmus
• /
• Logical Reasoning
• /
• Mathematical Reasoning

Elitmus Question Papers:

(#M40018187) ELITMUS Logical Reasoning question ELITMUS MATHS PUZZLE Keep an EYE

let Y={(1+ai)/(b-i)}^X where a,b,Xand 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 be true(i is a complex such that i^2=-1)

a. both a and b are positive but not equal
b. both a and b are negative and not equal
c. both b and a are prime numbers and not equal.
d. both a and b can take any values as long as they are equal

Asked In Elitmus pavan (11 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (3)   (2) Submit Your Solution Mathematical Reasoning

Read Solution (1) :

Anusha  (10 years ago)

try all options.
select test cases for each scenario:
for each case a),b),c) we consider values for 'a' & 'b' - in each case we get the value of Y as a complex number.
However when we consider a=b (for both negative and positive values), we always obtain Y as an integer!
So answer is (d)

Is this solution Helpfull? Yes (11) | No   

Please Login to Read Solution.