GATE Practice Question and Answer
8Q: Which expression is equivalent to i233? 2225 05b5cc645e4d2b4197774bbd1
5b5cc645e4d2b4197774bbd1- 1itrue
- 21false
- 3-ifalse
- 4-1false
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Answer : 1. "i"
Explanation :
Answer: A) i Explanation: We know that, i2 = -1i3 = i2 x i = -1 x i = -ii4 = i2 x i2 = -1 x -1 = 1Hence, i233 =i4 x 58 + 1 = i232 x i1 = 1 x i = i
Q: A train covers a distance between station A and station B in 45 min.If the speed of the train is reduced by 5 km/hr,then the same distance is covered in 48 min.what is the distance between the stations A and B ? 2219 05b5cc70ee4d2b4197774f347
5b5cc70ee4d2b4197774f347- 180 kmsfalse
- 260 kmstrue
- 345 kmsfalse
- 432 kmsfalse
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Answer : 2. "60 kms"
Explanation :
Answer: B) 60 kms Explanation: Let 'd' be the distance and 's' be the speed and 't' be the timed=sxt45 mins = 3/4 hr and 48 mins = 4/5 hrAs distance is same in both cases;s(3/4) = (s-5)(4/5)3s/4 = (4s-20)/515s = 16s-80s = 80 km.=> d = 80 x 3/4 = 60 kms.
Q: I have legs, but i cannot walk. Who am I? 2219 05b5cc601e4d2b4197774b485
5b5cc601e4d2b4197774b485- 1Dragon fliestrue
- 2Prawnsfalse
- 3House fliesfalse
- 4All of the abovefalse
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Answer : 1. "Dragon flies"
Explanation :
Answer: A) Dragon flies Explanation: Dragon flies have legs but they cannot walk.
Q: Three strategies P, Q and R have been initiated for cost cutting in a company producing respectively 20%, 30% and 10% savings. Assuming that they operate independently, what is the net saving achieved ? 2217 05b5cc73ae4d2b4197774f8dd
5b5cc73ae4d2b4197774f8dd- 149.6%true
- 250.4%false
- 333.67%false
- 466.66%false
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Answer : 1. "49.6%"
Explanation :
Answer: A) 49.6% Explanation: As these three strategies P, Q and R are independent so these will cut cost one after the other.If initial cost is Rs 100, then20% cost is cut after initializing strategy P, then cost will remain 80% = 80further 30% cost is cut after strategy Q, then cost will remain 70% of 80 = 56further 10% cost is cut after strategy R, then cost will remain 90% of 56 = 50.4 Thus final cost remains 50.4 % of the original cost. Hence net saving is 100 - 50.4 = 49.6 %.
Q: What is the systematic name of NH4ClO3? 2215 05b5cc6aae4d2b4197774cf74
5b5cc6aae4d2b4197774cf74- 1Ammonium Chloridefalse
- 2Ammonium Chloratetrue
- 3Ammonium Chloranefalse
- 4Ammonium Chlorinefalse
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Answer : 2. "Ammonium Chlorate"
Explanation :
Answer: B) Ammonium Chlorate Explanation: In common we all call the systematic name of NH4ClO3 as Ammonium Chlorate. But originally the systematic name is azanium trioxidochlorate.
Q: What is an error in a program called 2214 05b5cc66de4d2b4197774bfbb
5b5cc66de4d2b4197774bfbb- 1Power failfalse
- 2Crashfalse
- 3Virusfalse
- 4Bugtrue
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Answer : 4. "Bug"
Explanation :
Answer: D) Bug Explanation: In computer technology, a coding error in a computer program is called a bug.
Q: The cost of 7 tables and 12 chairs is Rs 48,250. What is the cost of 21 tables and 36 chairs ? 2208 05b5cc718e4d2b4197774f4cc
5b5cc718e4d2b4197774f4cc- 1Rs. 1,44,750true
- 2Rs. 2,35,745false
- 3Rs. 89,489false
- 4Rs.74,256false
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Answer : 1. "Rs. 1,44,750"
Explanation :
Answer: A) Rs. 1,44,750 Explanation: 3T+12C = 48,250----(1) 21T+36C = ? multiply eq (1) with 3i.e,, 3(7T+12C) = 48,250*321T+36C = 1,44,750/-
Q: A Conical tent was erected by the army at a base camp with height 3 m and base diameter 10 m. If every person requires 3.92 cu.m air, then how many persons can be seated in that tent approximately? 2208 05b5cc6bfe4d2b4197774da97
5b5cc6bfe4d2b4197774da97- 120true
- 219false
- 317false
- 422false
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Answer : 1. "20"
Explanation :
Answer: A) 20 Explanation: Given height of the conical tent = 3 m Diameter = 10 => Radius = D/2 = 10/2 = 5 m Now, as the tent is in the conical form Volume of the conical tent = πr2h3 => (22 x 5 x 5 x 3) / (7 x 3) = 22 x 25/7 = 78.54 cu.m Given each person requires 3.92 cu.m of air => Number of persons can be seated in the tent = 78.54/3.92 = 20.03 =~ 20