GATE Practice Question and Answer
8Q: Find the total numbers greater than 4000 that can be formed with digits 2, 3, 4, 5, 6 no digit being repeated in any number ? 2048 05b5cc6cde4d2b4197774e1db
5b5cc6cde4d2b4197774e1db- 1120false
- 2256false
- 3192true
- 4244false
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Answer : 3. "192"
Explanation :
Answer: C) 192 Explanation: We are having with digits 2, 3, 4, 5 & 6 and numbers greater than 4000 are to be formed, no digit is repeated. The number can be 4 digited but greater than 4000 or 5 digited. Number of 4 digited numbers greater than 4000 are4 or 5 or 6 can occupy thousand place => 3 x P34 = 3 x 24 = 72. 5 digited numbers = P55 = 5! = 120 So the total numbers greater than 4000 = 72 + 120 = 192
Q: Statement: The air and rail services have been severely disrupted due to thick fog in the northern part of the country.Courses of action:a. The rail and air services should be temporarily suspended in the region.b. People should be advised to make their travel plan keeping in mind the probable disruption resulting in delay or cancellation of services.c. The government should immediately install modern machines which will enable itto guide the rail and air services even if the thick fog develops. 2047 05b5cc76ae4d2b4197774fe7a
5b5cc76ae4d2b4197774fe7a- 1Only a followsfalse
- 2a and b followsfalse
- 3Only b followsfalse
- 4a, b & c followstrue
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Answer : 4. "a, b & c follows"
Explanation :
Answer: D) a, b & c follows Explanation: Keeping in mind the safety and convenience of passengers, both 'a' and 'b' follow. 'c' clearly suggests a remedy to the problem and hence it also follows.
Q: One lady has 2 children, one of her child is boy, what is the probability of having both are boys ? 2046 05b5cc728e4d2b4197774f72d
5b5cc728e4d2b4197774f72d- 11/3true
- 21/2false
- 32/3false
- 42/5false
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Answer : 1. "1/3"
Explanation :
Answer: A) 1/3 Explanation: In a family with 2 children there are four possibilities:1) the first child is a boy and the second child is a boy (bb)2) the first child is a boy and the second child is a girl (bg)3) the first child is a girl and the second child is a boy (gb)4) the first child is a girl and the second child is a girl (gg) But already given that one child is boy. So we have three possibilities of (bb)(bg)(gb).n(E)= both are boys=BB=1n(S)= 3Required probability P = n(E)/n(S) = 1/3.
Q: Where are Maglev trains used? 2044 05b5cc6abe4d2b4197774cfcc
5b5cc6abe4d2b4197774cfcc- 1Londonfalse
- 2Russiafalse
- 3Germanyfalse
- 4Japantrue
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Answer : 4. "Japan"
Explanation :
Answer: D) Japan Explanation: Maglev trains are used in Japan, South Korea and China only. Maglev derived from magnetic levitation using the principle of magnetic repulsion is a system of train transportation that uses two sets of magnets, one set to repel and push the train up off the track as in levitation then another set to move the 'floating train' ahead at great speed taking advantage of no friction. Maglev trains are therefore quieter and smoother than conventional trains, and have the potential for much higher speeds Despite over a century of research and development, maglev transport systems are in operation in just three countries Japan, South Korea and China. Hence Maglev -- Magnetic-levitation.
Q: In 1990 a person is 15 years old. In 2000 that same person is 5 years old. How can this be possible? 2044 05b5cc6b1e4d2b4197774d322
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Answer :
Explanation :
It can be possible in only B.C. i.e, Before Christ. That was about 2000 years ago. Given In 1990 B.C = 2000 + 1990 = 3990 years ago, a person is 15 years Old => In 1995 B.C = 2000 + 1995 = 3995 years ago, the same person will be 10 years Old Therefore, In 2000 B.C = 2000 + 2000 = 4000 years ago, the same person will be 5 years Old.
Q: Give the iupac name for the following compound? 2043 05b5cc62ae4d2b4197774b8b0
5b5cc62ae4d2b4197774b8b0- 1Sec-Butylcyclohexinefalse
- 2Isopropylcyclohexanetrue
- 32-Cyclohexybutanefalse
- 4None of the abovefalse
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Answer : 2. "Isopropylcyclohexane"
Explanation :
Answer: B) Isopropylcyclohexane Explanation:
Q: In a box, there are four marbles of white color and five marbles of black color. Two marbles are chosen randomly. What is the probability that both are of the same color? 2042 05b5cc6a3e4d2b4197774cc15
5b5cc6a3e4d2b4197774cc15- 12/9false
- 25/9false
- 34/9true
- 40false
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Answer : 3. "4/9"
Explanation :
Answer: C) 4/9 Explanation: Number of white marbles = 4 Number of Black marbles = 5 Total number of marbles = 9 Number of ways, two marbles picked randomly = 9C2 Now, the required probability of picked marbles are to be of same color = 4C2/9C2 + 5C2/9C2 = 1/6 + 5/18 = 4/9.
Q: In a mixture of 240 lt. water is 20% and rest is Milk. What quantity of mixture should be taken out and replaced with water so that water becomes 40%? 2041 05b5cc6bee4d2b4197774d98d
5b5cc6bee4d2b4197774d98d- 160 littrue
- 255 litfalse
- 345 litfalse
- 450 litfalse
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Answer : 1. "60 lit"
Explanation :
Answer: A) 60 lit Explanation:

