Latest CAT Aptitude Question SOLUTION: A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee f

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(#M40029246) CAT question CAT quant Keep an EYE

A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount?
(1) Over Rupees 13 but less than Rupees 14
(2) Over Rupees 7 but less than Rupees 8
(3) Over Rupees 22 but less than Rupees 23
(4) Over Rupees 18 but less than Rupees 19
(5) Over Rupees 4 but less than Rupees 5

Asked In CAT (10 years ago)

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sindhu atluri  (8 years ago)

1) Over Rupees 13 but less than Rupees 14
2) Over Rupees 7 but less than Rupees 8
3) Over Rupees 22 but less than Rupees 23
4) Over Rupees 18 but less than Rupees 19

Let check amount be 100x+y
Cash given out = 100y+x
So, according to the given condition,
100y+x-50=3*(100x+y)
97y = 50+299x
Now, as x and y have to be integers
So, 50+299x has to be divisible by 97
So, 50+291x+8x has to be divisible by 97
So, 50+8x has to be divisible by 97
This happens when x = 18
Hence, option 4

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