GATE Practice Question and Answer
8Q: A letter is takenout at random from 'ASSISTANT' and another is taken out from 'STATISTICS'. The probability that they are the same letter is : 1561 05b5cc7d0e4d2b41977751213
5b5cc7d0e4d2b41977751213- 135/96false
- 219/90true
- 319/96false
- 4None of thesefalse
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Answer : 2. "19/90"
Explanation :
Answer: B) 19/90 Explanation: ASSISTANT→AAINSSSTT STATISTICS→ACIISSSTTT Here N and C are not common and same letters can be A, I, S, T. Therefore Probability of choosing A = 2C19C1×1C110C1 = 1/45 Probability of choosing I = 19C1×2C110C1 = 1/45 Probability of choosing S = 3C19C1×3C110C1 = 1/10 Probability of choosing T = 2C19C1×3C110C1 = 1/15 Hence, Required probability = 145+145+110+115= 1990
Q: The Value of logtan10+logtan20+⋯⋯+logtan890 is 1442 15b5cc7d0e4d2b41977751204
5b5cc7d0e4d2b41977751204- 1-1false
- 20true
- 31/2false
- 41false
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Answer : 2. "0"
Explanation :
Answer: B) 0 Explanation: = log tan10+log tan890 + log tan20+ log tan880+⋯⋯+log tan450 = log [tan10 × tan890] + log [tan20 × tan880 ] +⋯⋯+log1 ∵ tan(90-θ)=cotθ and tan 450=1 = log 1 + log 1 +.....+log 1 = 0.
Q: A Shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net Profit or loss that he makes? 6131 05b5cc7bbe4d2b419777509d7
5b5cc7bbe4d2b419777509d7- 14%true
- 25%false
- 36%false
- 48%false
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Answer : 1. "4%"
Explanation :
Answer: A) 4% Explanation: SP of first article = Rs.1000 Profit = 20% CP = SP x 100100+P% = Rs. 25003 SP of Second Article = Rs.1000 Loss = 20% CP = SP x 100100-L% = Rs. 1250 So, Total SP = Rs.2000; Total CP = Rs.6250/3 As the CP is more than SP, he makes a loss. Loss = CP - SP = (6250/3) - 2000 = Rs.(250/3) So, Loss Percent = Lossx100/CP = 4%
Q: Using numbers from 0 to 9 the number of 5 digit telephone numbers that can be formed is 1105 05b5cc7b4e4d2b4197775088d
5b5cc7b4e4d2b4197775088d- 11,00,000false
- 259,049false
- 33439true
- 46561false
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Answer : 3. "3439"
Explanation :
Answer: C) 3439 Explanation: The numbers 0,1,2,3,4,5,6,7,8,9 are 10 in number while preparing telephone numbers any number can be used any number of times. This can be done in 105ways, but '0' is there So, the numbers starting with '0' are to be excluded is 94 numbers. Total 5 digit telephone numbers = 105- 94 = 3439
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Answer :
Explanation :
1. Answer : 2 Explanation : Productivity = Total production/area of Agr.land Productivity of UP = [ (35000+30000+25000) / (30/100) ] = 300000 Productivity of MP = [ (30000+37500+27500) / (25/100) ] = 380000 Productivity of Bihar = [ (22500+27500+25000) / (20/100) ] = 375000 Productivity of Odisha = [ (22500+15000+10000) / (5/100) ]= 950000 Productivity of Haryana = [ (30000+25000+35000) / (8/100) ] = 1125000 Productivity of Punjab = [ (40000+35000+30000) / (12/100) ] = 875000 The Productivity of Haryana is the maximum. 2. Answer : 5 Explanation : Production of Punjab is maximum = 105000 tonnes 3. Answer : 3 Explanation : Production of Wheat in Punjab = 40000 tones Production of Maize in Odisha = 10000 tones Required % = (40000 - 10000)/100 = 300% 4. Answer : 4 Explanation : The ratio of prodution of Rice in Bihar to the production of Wheat in Haryana = 25000 tonnes : 25000 tonnes = 1 : 1 5. Answer : 1 Explanation : Income of MP from export of 40% of Rice at the rate of Rs.30 per kg = Rs.39crore Income of UP from export of 30% of Rice at the rate of Rs.32 per kg = Rs.28.8 crore Required ratio = 39 : 28.8 = 390 : 288 = 65 : 48
Q: In which year was the Supreme Court of India established? 1613 05b5cc78fe4d2b419777503a3
5b5cc78fe4d2b419777503a3- 11951false
- 21949false
- 31950true
- 41947false
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Answer : 3. "1950"
Explanation :
Answer: C) 1950 Explanation: The Supreme Court of India was established in the year 1950.
Q: What did the Bhore committee deal with ? 1222 05b5cc77ae4d2b419777500f2
5b5cc77ae4d2b419777500f2- 1Economic development in Indiafalse
- 2Health development in Indiatrue
- 3Development of airports in Indiafalse
- 4Rural development in Indiafalse
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Answer : 2. "Health development in India"
Explanation :
Answer: B) Health development in India Explanation:
Q: The Good Governance Day (GGD) is observed on which day in India? 1802 05b5cc777e4d2b419777500e3
5b5cc777e4d2b419777500e3- 1December 22false
- 2December 25true
- 3D) is observed on which day in India? A) December 22 B) December 25 C)false
- 4is observed on which day in India? A) December 22 B) December 25 C) December 21 D) December 24false
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Answer : 2. "December 25"
Explanation :
Answer: B) December 25 Explanation: The Good Governance Day (GGD) is observed every year in India on the eve of the birth anniversary of former Prime Minister Atal Bihari Vajpayee.