Wednesday, November 21, 2012

10 GATE Question of the Day – General Aptitude and Digital Question

After seeing a good response from many GATE aspirants to my yesterday post GATE Question of the Day -  General Aptitude Question . Today i am going to post a GATE General Aptitude Question and a question from Digital Electronics. General Aptitude is common to all branches and Digital Electronics is common to CSE, ECE, EEE and Instrumentation.

The fuel consumed by a motorbike during a journey while traveling at different speed is given in the below graph

the distance covered during four laps of journey are shown in the table below

From the given data, We can conclude that the fuel consumed per kilometer was least during the lap

A)P  B)Q  C)R  D)S

 The output Y of the below circuit is always “1″ when?

A) Two are more of the inputs P, Q, R are “0″
B) Two are more of the inputs P, Q, R are “1″
C) Any odd number of the inputs P, Q, R are “0″
D) Any odd number of the inputs P, Q, R are “1″

Possible justify your answer, it will help many other to understand the problem clearly. Thanks for your answer. 
Fuel consumed per kilometer was least during the lap will be ‘Q’ since it will cover 90km/hr.so the correct answer is option B for 1st question. 
Detailed Answer for first question

1) For P laps bike has to travel 15KM at the mileage of 30KM/L so fuel consumption per KM is 0.0333 Litre (333 ml)
2)For Q laps bike has to travel 75 KM at the mileage of 90KM/L so fuel consumption per KM is 0.0111 litre
(111 ml)
3)For R laps the bike has to travel 40KM at the mileage of 80KM/L(approximately) so fuel consumption per KM is 0.0125 litre (124 ml)
4)for S laps it has to travel 10KM at the mileage of 30KM/L so fuel consumption per KM is 0.0333 litre (333 ml)
Based on the above results the fuel consumption per KM during the Q Lap is less

For second question answer is B
Solution for the second question is
Y=(((PQ)’(QR)’)(PQ)’) = (((P’+Q’)(Q’+R’)(P’+Q’))=((P’Q'+P’R'+Q’+Q’R')(P’+Q’))
Y=(P’Q'+P’R'+P’Q'R’+Q’+Q’R')= PQ+QR+PR
So that two or more inputs are 1 for Y is always 1

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