GATE Practice Question and Answer
8Q: Which of the following CANNOT be considered a single phase? 2482 05b5cc65ee4d2b4197774be54
5b5cc65ee4d2b4197774be54- 1a heterogeneous mixturetrue
- 2a pure solidfalse
- 3a pure liquidfalse
- 4a homogeneous mixturefalse
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Answer : 1. "a heterogeneous mixture"
Explanation :
Answer: A) a heterogeneous mixture Explanation: A pure solid and a pure liquid are definitely a single phase because they are so united, or homogeneous. This leads to a homogeneous mixture also being a single phase. Hence, the option that cannot be considered a single phase is A. a heterogeneous mixture.
Q: A,B,C together can do a piece of work in 10 days.All the three started workingat it together and after 4 days,A left.Then,B and C together completed the work in 10 more days.In how many days can complete a work alone ? 2482 05b5cc70ee4d2b4197774f34c
5b5cc70ee4d2b4197774f34c- 125true
- 224false
- 323false
- 421false
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Answer : 1. "25"
Explanation :
Answer: A) 25 Explanation: (A+B+C) do 1 work in 10 days. So (A+B+C)'s 1 day work=1/10 and as they work together for 4 days so workdone by them in 4 days=4/10=2/5 Remaining work=1-2/5=3/5 (B+C) take 10 more days to complete 3/5 work. So( B+C)'s 1 day work=3/50 Now A'S 1 day work=(A+B+C)'s 1 day work - (B+C)'s 1 day work=1/10-3/50=1/25 A does 1/25 work in in 1 day Therefore 1 work in 25 days.
Q: 20 men went to a restaurant. Ninteen of them paid Rs.70 each and the twentieth man paid Rs.90.25 more than the average of all the 20 men. What is the total bill ? 2482 05b5cc73ae4d2b4197774f8b5
5b5cc73ae4d2b4197774f8b5- 1Rs. 1495true
- 2Rs. 548false
- 3Rs. 850false
- 4Rs. 1750false
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Answer : 1. "Rs. 1495"
Explanation :
Answer: A) Rs. 1495 Explanation: Let the average bill paid by twenty members = 'x' But 19 men paid each = Rs. 70 20th man paid Rs. 90.25 more than the avg bill of 20 = x + 90.25 20x = 19(70) + x + 90.2519x = 1330 + 90.2519x = 1420.25x = 1420.25/19 = Rs. 74.75 But the total bill = 20 x 74.75 = Rs. 1495.
Q: If sum of upstream and downstream speed of a boat is 82 kmph, and the boat travels 105 km. upstream in 3 hr, Find the time taken by boat to cover 126 km downstream. 2481 05b5cc6afe4d2b4197774d278
5b5cc6afe4d2b4197774d278- 12.8 hrsfalse
- 22.7 hrstrue
- 32.6 hrsfalse
- 42.5 hrsfalse
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Answer : 2. "2.7 hrs"
Explanation :
Answer: B) 2.7 hrs Explanation: Let Speed of boat in still water = b Let Speed of still water = w Then we know that, Speed of Upstream = U = boat - water Speed of Downstream = D = boat + water Given, U + D = 82 b - w + b + w = 82 2b = 82 => b = 41 kmph From the given data, 41 - w = 105/3 = 35 w = 6 kmph Now, b + w = 126/t => 41 + 6 = 126/t => t = 126/47 = 2.68 hrs.
Q: The missing number in the Series 114, 131, 165, 216, ?, 369 2481 05b5cc6b3e4d2b4197774d3fd
5b5cc6b3e4d2b4197774d3fd- 1314false
- 2304false
- 3294false
- 4284true
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Answer : 4. "284"
Explanation :
Answer: D) 284 Explanation: 114 131 165 216 ? 369 +17 +34 +51 +68 +85 => The missing number in the given Number series = 216 + 68 = 284.
Q: Three friends Rudra, Siva and Anvesh start to run around a circular stadium. They complete a revolution in 24, 36 and 30 seconds respectively. After how many minutes will they meet at the starting point ? 2479 05b5cc6c2e4d2b4197774dbb4
5b5cc6c2e4d2b4197774dbb4- 160false
- 2120false
- 3360false
- 46true
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Answer : 4. "6"
Explanation :
Answer: D) 6 Explanation: For this we have to find the LCM of 24, 36 and 30 LCM of 24, 36 and 30 = 360 sec 360/60 min = 6 minutes.
Q: In a mixture of three varities of oils , the ratio of their weight is 4 : 5 : 8. If 5 kg of oils of the first variety, 10 kg of the second variety and some quantity of oils of the third variety are added to the mixture, the ratio of the weights of three varieties of oils becomes as 5 : 7 : 9 in the final mixture, find the quantity of third variety of oil was ? 2476 05b5cc6cce4d2b4197774e177
5b5cc6cce4d2b4197774e177- 115 kgfalse
- 225 kgfalse
- 335 kgfalse
- 445 kgtrue
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Answer : 4. "45 kg"
Explanation :
Answer: D) 45 kg Explanation: Let the ratio of initial quantity of oils be 'x' => 4x, 5x & 8x.Let k be the quantity of third variety of oil in the final mixture.Let the ratio of initial quantity of oils be 'y'From given details,4x + 5 = 5y ..... (1)5x + 10 = 7y .....(2)8x + k = 9y ......(3) By solving (1) & (2), we getx = 5 & y = 5 From (3) => k = 5 Therefore, quantity of third variety of oil was 9y = 9(5) = 45kg.
Q: A house owner wants to get his house painted. He is told that this would require 45 kg of paint allowing 6% wasting. And if the paint is available in 4 kg tins only, the number of tins required for painting the house is ? 2476 05b5cc6d1e4d2b4197774e3e3
5b5cc6d1e4d2b4197774e3e3- 112true
- 213false
- 311false
- 410false
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Answer : 1. "12"
Explanation :
Answer: A) 12 Explanation: Given 45 kg for painting And 6% 0f 45 for wasting => 6x45/100 = 2.7 kg Now total paint required = 45+2.7 = 47.7 kgs But tins are available in only 4kgs Then, no. of tins req = 47.7/4 = 11.4 => 12 tins