GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: Rajesh rows in still water with a speed of 4.5 kmph to go to a certain place and comes back. Find his average speed for the whole journey, if the river is flowing with a speed of 1.5 kmph? 2179 05b5cc67ee4d2b4197774c245
5b5cc67ee4d2b4197774c245- 12 kmphfalse
- 24 kmphtrue
- 36 kmphfalse
- 48 kmphfalse
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उत्तर : 2. "4 kmph"
व्याख्या :
Answer: B) 4 kmph Explanation: Let the distance in one direction = k kms Speed in still water = 4.5 kmph Speed of river = 1.5 Hence, speed in upstream = 4.5 - 1.5 = 3 kmph Speed in downstream = 4.5 + 1.5 = 6 kmph Time taken by Rajesh to row upwards = k/3 hrs Time taken by Rajesh to row downwards = k/6 hrs Now, required Average speed =Total distanceTotal speed = 2kk3 + k6 = 2k x 186k + 3k = 4 kmph Therefore, the average speed of the whole journey = 4kmph.
प्र: Which of the following statements is most accurate regarding infection with parvovirus B19? 2178 05b5cc6a8e4d2b4197774ce76
5b5cc6a8e4d2b4197774ce76- 1Parvovirus B19 causes severe anemia because it preferentially infects erythrocyte precursorstrue
- 2Parvovirus B19 can cause hydrops fetalis via transplacental infection of a fetus in a seropositive motherfalse
- 3Parvovirus B19 can be diagnosed by detection of viral RNA using PCR or hybridization assaysfalse
- 4Parvovirus B19 replicates in the host cell nucleus utilizing a virally encoded DNA polymerase to create a double- stranded DNA intermediatefalse
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उत्तर : 1. "Parvovirus B19 causes severe anemia because it preferentially infects erythrocyte precursors"
व्याख्या :
Answer: A) Parvovirus B19 causes severe anemia because it preferentially infects erythrocyte precursors Explanation: Parvovirus B19 causes severe anemia because it preferentially infects erythrocyte precursors. a. Parvovirus B19 binds preferentially to the erythrocyte blood group P antigen on erythroid precursor cells. Answers B, C, D are incorrect: b. after entry the single-stranded viral DNA genome is transported to the cell nucleus where the host DNA polymerase synthesizes the complimentary DNA strand. c. Parvovirus B19 infection can be diagnosed by direct detection of viral DNA not RNA. d. the fetus of a seropositive mother is protected from infection by maternal circulating antibodies.
प्र: A box contains 4 different black balls, 3 different red balls and 5 different blue balls. In how many ways can the balls be selected if every selection must have at least 1 black ball and one red ball ? 2177 05b5cc6f4e4d2b4197774f004
5b5cc6f4e4d2b4197774f004- 124 - 1false
- 22425-1false
- 3(24-1)(23-1)25true
- 4Nonefalse
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उत्तर : 3. "(24-1)(23-1)25"
व्याख्या :
Answer: C) C Explanation: It is explicitly given that all the 4 black balls are different, all the 3 red balls are different and all the 5 blue balls are different. Hence this is a case where all are distinct objects. Initially let's find out the number of ways in which we can select the black balls. Note that at least 1 black ball must be included in each selection. Hence, we can select 1 black ball from 4 black ballsor 2 black balls from 4 black balls.or 3 black balls from 4 black balls.or 4 black balls from 4 black balls. Hence, number of ways in which we can select the black balls = 4C1 + 4C2 + 4C3 + 4C4= 24-1 ........(A) Now let's find out the number of ways in which we can select the red balls. Note that at least 1 red ball must be included in each selection. Hence, we can select 1 red ball from 3 red ballsor 2 red balls from 3 red ballsor 3 red balls from 3 red balls Hence, number of ways in which we can select the red balls= 3C1 + 3C2 + 3C3=23-1........(B) Hence, we can select 0 blue ball from 5 blue balls (i.e, do not select any blue ball. In this case, only black and red balls will be there)or 1 blue ball from 5 blue ballsor 2 blue balls from 5 blue ballsor 3 blue balls from 5 blue ballsor 4 blue balls from 5 blue ballsor 5 blue balls from 5 blue balls. Hence, number of ways in which we can select the blue balls= 5C0 + 5C1 + 5C2 + … + 5C5= 25..............(C) From (A), (B) and (C), required number of ways= 2524-123-1
प्र: Dry ice is nothing but 2174 05b5cc60de4d2b4197774b62c
5b5cc60de4d2b4197774b62c- 1Solid carbon dioxidetrue
- 2Baking sodafalse
- 3Gaseous carbon dioxidefalse
- 4Carbon monoxidefalse
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उत्तर : 1. "Solid carbon dioxide"
व्याख्या :
Answer: A) Solid carbon dioxide Explanation: Dry ice is solid form of carbon dioxide, used as a cooling agent. It lower temperature than that of water ice and not leave any residue.
प्र: A shopkeeper has a job to print certain number of documents and there are three machines P, Q and R for this job. P can complete the job in 3 days, Q can complete the job in 4 days and R can complete the job in 6 days. How many days the shopkeeper will it take to complete the job if all the machines are used simultaneously ? 2173 05b5cc758e4d2b4197774fbf4
5b5cc758e4d2b4197774fbf4- 14/3 daystrue
- 22 daysfalse
- 33/2 daysfalse
- 44 daysfalse
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उत्तर : 1. "4/3 days"
व्याख्या :
Answer: A) 4/3 days Explanation: Let the total number of documents to be printed be 12. The number of documents printed by P in 1 day = 4. The number of documents printed by Q in 1 day = 3. The number of documents printed by R in 1 day = 2. Thus, the total number of documents that can be printed by all the machines working simultaneously in a single day = 9. Therefore, the number of days taken to complete the whole work = 12/9 = 4/3 days.
प्र: 12 year old Manish is three times as old as his brother Rajeev. How old will Manish be when he is twice as old as Rajeev ? 2172 05b5cc720e4d2b4197774f5f4
5b5cc720e4d2b4197774f5f4- 112 yrsfalse
- 214 yrsfalse
- 316 yrstrue
- 418 yrsfalse
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उत्तर : 3. "16 yrs"
व्याख्या :
Answer: C) 16 yrs Explanation: 12 year old Manish is three times as old as his brother Rajeev who must be 4 years old.Diff in ages = 8 years.when Rajeev will become 8 years old, Manish will be 16 yrs old and he will be twice as old as Rajeev.
प्र: A secret can be told to only 3 persons in 3 minutes. Each person in turn tells 3 other persons in the next 3 minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way ? 2171 05b5cc741e4d2b4197774f99a
5b5cc741e4d2b4197774f99a- 188572true
- 277854false
- 399584false
- 455654false
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उत्तर : 1. "88572"
व्याख्या :
Answer: A) 88572 Explanation: Given a secret is told to 3 persons in 3 minutes.And if the process continues with each person saying 3 other persons,In 30 minutes => the rocess for 10 times because each person time is 3 minutes.Required number of persons = 3 + 32 + 33 + .... + 39 + 310 Now it forms a geometric progression, Sum to n terms is S = arn - 1r - 1 Here a = 3, r = 3 => 59048 x 3 /2 = 88572.
प्र: The circumference of a circular base of Cylinder is 44 cm and its hight is 15 cm. Then the volume of the cylinder is? 2165 05b5cc6ade4d2b4197774d109
5b5cc6ade4d2b4197774d109- 12759 cub. cmfalse
- 22247 cub. cmfalse
- 32614 cub. cmfalse
- 42311 cub. cmtrue
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उत्तर : 4. "2311 cub. cm"
व्याख्या :
Answer: D) 2311 cub. cm Explanation: Given Circumference of a circular base of a cylinder = 44 cm We know that Circumference of a circle = 2πr = 44⇒r = 22π Now given the height of a cylinder h = 15 cm Volume of a cylinder V = πr2h = π22π215 = 22 x 22 x 153.14 = 2311 cm3.