GATE Practice Question and Answer
8Q: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is ? 4516 05b5cc6dce4d2b4197774e9c4
5b5cc6dce4d2b4197774e9c4- 18 kmphfalse
- 26 kmphtrue
- 37.5 kmphfalse
- 45.5 kmphfalse
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Answer : 2. "6 kmph"
Explanation :
Answer: B) 6 kmph Explanation: Speed of the stream = 1Motor boat speed in still water be = x kmphDown Stream = x + 1 kmphUp Stream = x - 1 kmph[35/(x + 1)] + [35/(x - 1)] = 12x = 6 kmph
Q: The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be Rs. 400 which is greater than the corresponding cost price by 33.33%, what is the increased selling price? 4466 05b5cc69ae4d2b4197774c755
5b5cc69ae4d2b4197774c755- 1Rs. 380false
- 2Rs. 420true
- 3Rs. 460false
- 4Rs. 440false
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Answer : 2. "Rs. 420"
Explanation :
Answer: B) Rs. 420 Explanation: As given in the question, Marked price is 25% more than the Cost price. => C.P of the article = 34 x 400 = 300 Now, Let the original S.P of the article be Rs. P Now the new S.P = P + 16.666 +13.333300 x P => S.P = 7P6 According to the question, 7P6 - 300 = 2P - 300 => 5P = 1800 => P = Rs. 360 Hence, the increased S.P = 360 x 7/6 = Rs. 420.
Q: In one hour, a boat goes 12 km/hr along the stream and 6 km/hr against the stream. The speed of the boat in still water (in km/hr) is: 4436 05b5cc6bde4d2b4197774d8fc
5b5cc6bde4d2b4197774d8fc- 19true
- 28false
- 37false
- 47.5false
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Answer : 1. "9"
Explanation :
Answer: A) 9 Explanation: Speed in still water = Average of Speed in Upstream and speed in Downstream = 1/2 (12 + 6) kmph = 9 kmph.
Q: Essential Part for the given word from the following options. Respiration 4401 05b5cc6fee4d2b4197774f10c
5b5cc6fee4d2b4197774f10c- 1Oxygentrue
- 2Carbon monoxidefalse
- 3Mouthfalse
- 4Circulationfalse
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Answer : 1. "Oxygen"
Explanation :
Answer: A) Oxygen Explanation: A person or animal must take in oxygen for respiration to occur. A mouth (choice a) is not essential because breathing can occur through the nose. Choices b and d are clearly not essential and can be ruled out.
Q: The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs. 5000 ? 4400 05b5cc709e4d2b4197774f294
5b5cc709e4d2b4197774f294- 1Rs. 5500false
- 2Rs. 6000true
- 3Rs. 6200false
- 4Rs. 6350false
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Answer : 2. "Rs. 6000"
Explanation :
Answer: B) Rs. 6000 Explanation: The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs 5000 ?Ratio of increase of wages = 22:25Ratio of decrease of labourers = 15:11Compound ratio of wages of labourers = 22 x 15 : 25 x 11 = 330:275Final bill = Rs. 5000For 275 ratio wages = Rs. 5000For 1 ratio wages = 5000/275For 330 ratio wages = 5000/275 x 330 = Rs. 6000
Q: Central processing unit is combination of 4365 05b5cc61ee4d2b4197774b76f
5b5cc61ee4d2b4197774b76f- 1Arithmetic and Control unittrue
- 2Control and Output unitfalse
- 3Control and Storage unitfalse
- 4Arithmetic logic and input unitfalse
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Answer : 1. "Arithmetic and Control unit"
Explanation :
Answer: A) Arithmetic and Control unit Explanation:
Q: Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work ? 4362 05b5cc6e1e4d2b4197774ebbb
5b5cc6e1e4d2b4197774ebbb- 118 daysfalse
- 220 daystrue
- 316 daysfalse
- 414 daysfalse
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Answer : 2. "20 days"
Explanation :
Answer: B) 20 days Explanation: (5m + 9w)10 = (6m + 12w)8 => 50m + 90w = 48w + 96 w => 1m = 3w 5m + 9w = 5m + 3m = 8m 8 men can do the work in 10 days. 3m +3w = 3m + 1w = 4m So, 4 men can do the work in (10 x 8)/4 = 20 days.
Q: A can write 32 pages in 6 hours and B can write 40 pages in 5 hours. If they write together, in how many hours they can write 110 pages ? 4349 05b5cc711e4d2b4197774f3c8
5b5cc711e4d2b4197774f3c8- 17 hrsfalse
- 26 hrs 10 minfalse
- 35 hrs 25minfalse
- 48 hrs 15 mintrue
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Answer : 4. "8 hrs 15 min"
Explanation :
Answer: D) 8 hrs 15 min Explanation: A can write in 1hour = 32/6 pages Similarly, B in 1 hour = 40/5 pages Together (A+B) in 1 hour = 32/6 + 40/5 = 40/3 So, A+B write 40/3 pages in 1 hour A+B write 110 pages in (3/40) x 110 Hours = 8 hours 15 min.

