MBA Exam

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

Read Solution (Total 1)

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.
9 years agoHelpfull: Yes(1) No(0)

MBA Other 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
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