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October 3, 2023Digital-Logic-Design
October 3, 2023NIC-NIELIT Scientist-B 2020
| Question 30 |
Two tapes A and B can fill a tank in 12 minutes and 15 minutes respectively. The tank can be emptied by a third tap C in 6 minutes. If A and B are kept open for 5 minutes in the beginning and then C is opened along with A and B being kept open, the time taken to empty the tank is:
| 60 minutes | |
| 45 minutes | |
| 30 minutes | |
| 75 minutes |
Question 30 Explanation:
A → 12 min = 1/12
B → 15 min = 1/15
C → 6 min = -(⅙)
=((1/12)+(1/15))*5
=((15+12)/(12*15))*5
=27/36
=¾
B → 15 min = 1/15
C → 6 min = -(⅙)
=((1/12)+(1/15))*5
=((15+12)/(12*15))*5
=27/36
=¾
= (1/12) + (1/15) – (⅙)
= (15+12-(15*2))/15*12
= -3 / (15*12)
= -(1/60)
1 Tank → 60 min
¾ Tank → 45 min
Correct Answer: B
Question 30 Explanation:
A → 12 min = 1/12
B → 15 min = 1/15
C → 6 min = -(⅙)
=((1/12)+(1/15))*5
=((15+12)/(12*15))*5
=27/36
=¾
B → 15 min = 1/15
C → 6 min = -(⅙)
=((1/12)+(1/15))*5
=((15+12)/(12*15))*5
=27/36
=¾
= (1/12) + (1/15) – (⅙)
= (15+12-(15*2))/15*12
= -3 / (15*12)
= -(1/60)
1 Tank → 60 min
¾ Tank → 45 min
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