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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 ? 2173 0

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    24 - 1
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    2425-1
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    (24-1)(23-1)25
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    None
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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: A sum of money at simple interest amounts to Rs. 415 in 2 years and to Rs. 514 in 4 years. The sum is ? 2172 0

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    Rs. 316
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    Rs. 251
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    Rs. 154
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    Rs. 294
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उत्तर : 1. "Rs. 316"
व्याख्या :

Answer: A) Rs. 316 Explanation: S.I. for 2 years = (514 - 415) = Rs. 99S.I. for 1 year = 99/2 Principal = (415 - 99) = Rs. 316.

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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: Dry ice is nothing but 2170 0

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    Solid carbon dioxide
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    Baking soda
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    Gaseous carbon dioxide
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    Carbon monoxide
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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: 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 ? 2169 0

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    12 yrs
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    14 yrs
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    16 yrs
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    18 yrs
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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: Which of the following statements is most accurate regarding infection with parvovirus B19? 2169 0

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    Parvovirus B19 causes severe anemia because it preferentially infects erythrocyte precursors
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    Parvovirus B19 can cause hydrops fetalis via transplacental infection of a fetus in a seropositive mother
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    Parvovirus B19 can be diagnosed by detection of viral RNA using PCR or hybridization assays
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    Parvovirus B19 replicates in the host cell nucleus utilizing a virally encoded DNA polymerase to create a double- stranded DNA intermediate
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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 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 ? 2168 0

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    88572
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    77854
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    99584
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    55654
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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: Which expression is equivalent to i233? 2159 0

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    i
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    1
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    -i
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    -1
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उत्तर : 1. "i"
व्याख्या :

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

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