IIT JEE प्रश्न और उत्तर का अभ्यास करें

प्र: Find the missing number? 15, 30, ? , 40, 8, 48 6976 0

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    21
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  • 2
    8
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  • 3
    19
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  • 4
    10
    सही
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उत्तर : 4. "10"
व्याख्या :

Answer: D) 10 Explanation: Given nuber series is 15, 30, ? , 40, 8, 48  Here the number series follows a pattern that 15 15 x 2 = 30 30 ÷ 3 = 10 10 x 4 = 40 40 ÷ 5 = 8 8 x 6 = 48 Hence, the missing number in the series is 10.

प्र: Find the sum of the Arithmetic Series upto 36 terms 2, 5, 8, 11,... 1683 1

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    3924
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  • 2
    1962
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    1684
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    1452
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उत्तर : 2. "1962"
व्याख्या :

Answer: B) 1962 Explanation: Arithmetic Series ::   An Arithmetic Series is a series of numbers in which each term increases by a constant amount.   How to find the sum of the Arithmetic Sequence or Series for the given Series ::   When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence.   That is given by Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term   Here Last term is given by an = a1 + n-1d where d = common difference   Now given Arithmetic Series is    2, 5, 8, 11,...   Here a1 = 2,  d = 3, n = 36    Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107    Now, Sum to 36 terms is given by   S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962       Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.

प्र: A man pays Rs. 6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customers is 1409 0

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    1 : 10
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  • 2
    10 : 1
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  • 3
    9 : 11
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  • 4
    11 : 9
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उत्तर : 1. "1 : 10"
व्याख्या :

Answer: A) 1 : 10 Explanation: Customer ratio of Milk and Water is given by Milk          ::        Water   6.4                         0          81 + 38 =6411  6411                      6410 - 6411  => Milk : Water = 110 : 11 = 10 : 1   Therefore, the proportionate of Water to Milk for Customer is 1 : 10

प्र: 1 Billion Seconds Equals to 1593 0

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    34.76 years
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  • 2
    32.48 years
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    33.31 years
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    31.68 years
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उत्तर : 4. "31.68 years"
व्याख्या :

Answer: D) 31.68 years Explanation: We know that 1 year = 365.25 days 1 day = 24 hours 1 hour = 60 minutes 1 minute = 60 seconds   => 1 Year = 365.25 x 24 x 60 x 60 Seconds But 1 billion seconds = ? 1 Year = 365.25 x 24 x 60 x 60 Seconds     ?     =  1000000000 Seconds   ? = 1000000000365.25 x 24 x 60 x 60 years = 31. 68 years.

प्र: What is Black, when Clean and White, when Dirty? 1713 0

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    Shoes
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    Car
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    Chalkboard
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    None
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उत्तर : 3. "Chalkboard"
व्याख्या :

Answer: C) Chalkboard Explanation: It is Blackboard or Chalkboard which is Black when clean, and as you write on it with white chalk it becomes dirty in White color.

प्र: Smallest Taluk in Kerala State? 4020 0

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    Kunnathur
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  • 2
    Eranad
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  • 3
    Palakkad
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    गलत
  • 4
    Alappuzha
    सही
    गलत
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उत्तर : 1. "Kunnathur"
व्याख्या :

Answer: A) Kunnathur Explanation: Kunnathur is the Smallest Taluk in Kerala State.   Taluk : In Kerala, the administrative divisions below the district are called Taluk. There are 77 Taluks in Kerala State. Eranad is the Largest Taluk in Kerala State. Palakkad is the Largest District in Kerala State. Alappuzha is the Smallest District in Kerala State.

प्र: Monoculture is a typical characteristics of 1881 0

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    Specialized horticulture
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    Commercial grain farming
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    Shifting cultivation
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    Subsitence farming
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उत्तर : 2. "Commercial grain farming"
व्याख्या :

Answer: B) Commercial grain farming Explanation: Monoculture is a typical characteristics of Commercial grain farming. Monoculture is the agricultural practice of producing or growing a single crop, plant, or livestock species, variety, or breed in a field or farming system at a time focussing commercial gains. Monoculture is widely used in both industrial farming and organic farming and has allowed increased efficiency in planting and harvest. Polyculture, where more than one crop is grown in the same space at the same time, is the alternative to monoculture.

प्र: How many weekends in a year? 1386 0

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    52
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    53
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    103
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  • 4
    104
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उत्तर : 4. "104"
व्याख्या :

Answer: D) 104 Explanation: In normal we have 104 Weekend Days. We know that a Each normal year has 365 days or 52 weeks plus one day, and each week has two weekend days, which means there are approximately 104 weekend days each year. Whereas in a leap year we have 366 days it adds one more day to the year. And what makes the change is the starting day of the year.

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