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 ? 4612 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? 4584 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: 4537 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: 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 ? 4535 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: Essential Part for the given word from the following options. Respiration 4501 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: Central processing unit is combination of 4480 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: The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest) 4466 05b5cc6e7e4d2b4197774ed8d
5b5cc6e7e4d2b4197774ed8d- 119 yearsfalse
- 216 yearsfalse
- 318 yearsfalse
- 420 yearstrue
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Answer : 4. "20 years"
Explanation :
Answer: D) 20 years Explanation: Present total age of the members = 26(5) = 130 years. Present age of the youngest member = 10 years Present total age of the remaining four members = 130 -10 = 120 years Their average age at the time of the birth of the youngest member = 120-4×104 = 30 - 10 = 20 years.
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 ? 4465 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.

