MBA Exam

How do we approach those type of questions where we have 2 equations in 3 variables and we have to find the possible values? for eg :Karan who had no money in his pocket, presented a cheque for a certain amt to a teller at the bank.The teller intended to give the amt only in the denominations of 50 and 500. He figured that he could give x 50 rupee notes and y 500 rupee notes. However while giving he made an error and gave y 50 rupee notes and x 500 rupee notes. Karan then spent rs 50 and when he counted the remaining amount he found that it was 3 times the amt he had written on the cheque. The amt on the cheque could be :

1) >3000 and <4000
2) >5000 and < 8000
3) >14000 and <16000
4) >16000 and <18000

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MBA Other Question

after covering a distance of 30 km with a uniform speed there is some defect in a train engine and therefore, its speed is reduced to 4/5 of its original speed. consequently, the train reaches its destination late by 45 minutes. had it happened after covering 18 kilometres more, the train would have reached 9 minutes earlier than this. find the speed of the train and the distance of journey.

1) 30 km/hr ; 130 km
2) 40 km/hr ; 120 km
3) 30 km/hr ;120 km
4) none of these
Let S be a set of 4 digit numbers such that the middle 2 numbers are the sum of the other 2...for eg 5116 is one such number cause 5+6=11 are the middle digitsFind the sum of all such numbers

1) 45945
2) 458955
3) 437745
4) 458940