IIT JEE प्रश्न और उत्तर का अभ्यास करें

प्र: Contour bunding is a method of soil conservation used in 3422 0

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    Scrublands, liable to spread of weed growth
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    Hilly and Slopy or mountain areas
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    Low flat plains, close to stream courses, liable to flooding
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    Desert margins, liable to strong wind action
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उत्तर : 2. "Hilly and Slopy or mountain areas"
व्याख्या :

Answer: B) Hilly and Slopy or mountain areas Explanation: Contour bunding is a proven sustainable land management practice for mountainous areas, marginal, sloping, and hilly land where the soil productivity is very low.   It is widely adopted by the ethnic minorities of Nepal who practice the shifting cultivation system of farming.

प्र: Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest ? 3421 0

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    20% p.a
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    15% p.a
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    18% p.a
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    24% p.a
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उत्तर : 1. "20% p.a"
व्याख्या :

Answer: A) 20% p.a Explanation: Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year. Rate of interest = (100 x 240) / (1200) = 20% p.a

प्र: A rectangular block has the dimensions 5x6x7 cm it is dropped into a cylindrical vessel of radius 6cm and height 10 cm. If the level of the fluid in the cylinder rises by 4 cm, What portion of the block is immersed in the fluid ? 3421 0

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    22/7 x 24/35
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    22/7 x 36 x 4
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    22/7 x 36/5
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    22/7 x 37/21
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उत्तर : 1. "22/7 x 24/35"
व्याख्या :

Answer: A) 22/7 x 24/35 Explanation: Since level of water increased in cylinder by height 4.  This is because of the rectangular block .   Therefore , area of rectangular block immersed in water is  = 227×6×6×4   Thats why portion of block immersed in water is  = (22/7 * 36 * 4) / total vol. of rectangle  = (22/7 * 36 * 4)/ (7*5*6)  = (22/7 * 24)/ 35.

प्र: How many zeros are there from 1 to 10000 ? 3417 0

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    2893
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    4528
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    6587
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    4875
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उत्तर : 1. "2893"
व्याख्या :

Answer: A) 2893 Explanation: For solving this problem first we would break the whole range in 5 sections 1) From 1 to 9Total number of zero in this range = 0 2) From 10 to 99Total possibilities = 9*1 = 9 ( here 9 is used for the possibilities of a non zero integer) 3) From 100 to 999 - three type of numbers are there in this range a) x00 b) x0x c) xx0 (here x represents a non zero number)Total possibilities for x00 = 9*1*1 = 9, hence total zeros = 9*2 = 18for x0x = 9*1*9 = 81, hence total zeros = 81similarly for xx0 = 81 total zeros in three digit numbers = 18 + 81 +81 = 180 4) From 1000 to 9999 - seven type of numbers are there in this rangea)x000 b)xx00 c)x0x0 d)x00x e)xxx0 f)xx0x g)x0xxTotal possibilities for x000 = 9*1*1*1 = 9, hence total zeros = 9*3 = 27 for xx00 = 9*9*1*1 = 81, hence total zeros = 81*2 = 162 for x0x0 = 9*1*9*1 = 81, hence total zeros = 81*2 = 162for x00x = 9*1*1*9 = 81, hence total zeros = 81*2 = 162 for xxx0 = 9*9*9*1 = 729, hence total zeros = 729*1 = 729for xx0x = 9*9*1*9 = 729, hence total zeros = 729*1 = 729for x0xx = 9*1*9*9 = 729, hence total zeros = 729*1 = 729total zeros in four digit numbers = 27 + 3*162 + 3*729 = 2700thus total zeros will be 0+9+180+2700+4 (last 4 is for 4 zeros of 10000)= 2893

प्र: What Does My Name Mean, If my Mother is a Mathematician, and my Father is a Chemist. And they gave a Code to My Name as "Iron59". Crack my Name? 3416 0

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    Elix
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    Alex
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    Selix
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    Felix
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उत्तर : 4. "Felix"
व्याख्या :

Answer: D) Felix Explanation: Here my name "Iron59" means Felix. Since my father is a chemist he gave code Iron for Fe as chemical symbol for Iron is Fe and my mother is a mathematician she gave 59 for Lix as Roman word for 59 is Lix.   Hence my name is FELIX.

प्र: The largest component of National Income in India is ____ ? 3415 0

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    Service Sector
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    Industrial Sector
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    Agriculture Sector
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    Trade Sector
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उत्तर : 1. "Service Sector"
व्याख्या :

Answer: A) Service Sector Explanation: The  largest component of National income is service sector.

प्र: Careful is to Cautious as Boastful is to 3414 0

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    Surprisingly
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    Happily
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    Arrogant
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    Humble
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उत्तर : 3. "Arrogant"
व्याख्या :

Answer: C) Arrogant Explanation: Here the given words Careful and Cautious are related in such a way that they are Synonyms of each other. Therefore, Similarly Boastful is synonym to the word Arrogant. Happily and Humble are Antonyms of Boastful and Surprisingly is the word not related to Boastful in any way.   So, Careful is to Cautious as Boastful is to Arrogant.

प्र: If 10 men take 15 days to complete a work. In how many days will 37 men complete the work? 3412 0

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    3 days
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    4 days
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    5 days
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    6 days
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उत्तर : 2. "4 days"
व्याख्या :

Answer: B) 4 days Explanation: Given 10 men take 15 days to complete a work => Total mandays = 15 x 10 = 150 Let the work be 150 mandays. => Now 37 men can do 150 mandays in 150/37 =~ 4 days

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