Latest MBA Aptitude Question SOLUTION: XY is a number that is divided by ab where xy is less than ab and gives a result 0.xyxyxy...then ab equals..?Kindly Post solution as well

1) 11
2) 33
3) 99

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Previous Question: In a three-digit number, the unit digit is twice the tens digit and the tens digit is twice the hundreds digit. The same number is written as 1XY and 1YX in base 8 and base 9 respectively. Find the sum of X and Y in the decimal system.

1) 11
2) 15
3) 7
4) CBD
Next Question: A number N^2 has 11 factors less than N. In how many ways can N^3 be written as the product of 2 distinct numbers.(Pls post the steps as well)

1) 8
2) 16
3) 17
4) 33

(#M40015069) MBA question number systems, progressions Keep an EYE

XY is a number that is divided by ab where xy is less than ab and gives a result 0.xyxyxy...then ab equals..?Kindly Post solution as well

1) 11
2) 33
3) 99
4) 66
5) 88

Asked In MBA (11 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (4)   (6) Submit Your Solution

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Read Solution (1) :

Gaurav kumar  (9 years ago)

The value of ab is 99.

Solution: The sequence 0.xyxyxyxy... can be written as:

(xy/100) + (xy/10000) + (xy/1000000) + ....

= (xy/100)*(1 + 1/100 + 1/10000 + ....) [The second part is a geometric series with ratio 1/100]

= (xy/100)*1/(1 - 1/100)

= xy/99

as xy/ab = 0.xyxyxyxy... = xy/99

ab is 99.

Is this solution Helpfull? Yes (1) | No   

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Previous Question: In a three-digit number, the unit digit is twice the tens digit and the tens digit is twice the hundreds digit. The same number is written as 1XY and 1YX in base 8 and base 9 respectively. Find the sum of X and Y in the decimal system.

1) 11
2) 15
3) 7
4) CBD
Next Question: A number N^2 has 11 factors less than N. In how many ways can N^3 be written as the product of 2 distinct numbers.(Pls post the steps as well)

1) 8
2) 16
3) 17
4) 33

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