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Previous Year Paper

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CAT-2007-Previous Years Paper

Question
2 out of 25
 

A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of 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?



A Over rupees 22 but less than rupees 23

B Over rupees 18 but less than rupees 19

C Over rupees 4 but less than rupees 5

D Over rupees 13 but less than rupees 14

E Over rupees 7 but less than rupees 8

Ans. B

Let the original amount be Rs x and y paise. Then interchanged amount = Rs y and x paise. From the given condition:

3 (100x + y) = 100y + x – 50

â 300x + 3y = 10y + x – 50

â 299x = 97y – 50

â

Considering the options, only for x = 18, we get an integral value for y i.e., y = 56. Hence, (b)

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