IIT JEE प्रश्न और उत्तर का अभ्यास करें

प्र: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ? 3744 0

  • 1
    12 & 7
    सही
    गलत
  • 2
    13 & 8
    सही
    गलत
  • 3
    15 & 10
    सही
    गलत
  • 4
    14 & 9
    सही
    गलत
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उत्तर : 1. "12 & 7"
व्याख्या :

Answer: A) 12 & 7 Explanation: x – y = 5 4x – 6y = 6 x = 12 y = 7

प्र: Two numbers are 35% and 42% are less than a third number .How much percent is the second number less than the first ? 1587 0

  • 1
    10.769 %
    सही
    गलत
  • 2
    11.23 %
    सही
    गलत
  • 3
    10.4 %
    सही
    गलत
  • 4
    9.87 %
    सही
    गलत
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उत्तर : 1. "10.769 %"
व्याख्या :

Answer: A) 10.769 % Explanation: I      II     III 65   58   100 65 -------- 7100 ------ ?  => 10.769%

प्र: There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number ? 1577 0

  • 1
    17
    सही
    गलत
  • 2
    19
    सही
    गलत
  • 3
    13
    सही
    गलत
  • 4
    11
    सही
    गलत
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उत्तर : 3. "13"
व्याख्या :

Answer: C) 13 Explanation: (385/1001) = 5/13 First Number is 5 => Fourth number is 13

प्र: An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 8%, the effective rate of interest becomes ? 1220 0

  • 1
    10.25 %
    सही
    गलत
  • 2
    8.16 %
    सही
    गलत
  • 3
    9.63 %
    सही
    गलत
  • 4
    0.16 %
    सही
    गलत
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उत्तर : 2. "8.16 %"
व्याख्या :

Answer: B) 8.16 % Explanation: Let the sum be Rs. 100. Then,S.I. for first 6 months = (100 x 8 x 1) / (100 x 2) = Rs. 4S.I. for last 6 months = (104 x 8 x 1) / (100 x 2) = Rs. 4.16So, amount at the end of 1 year = (100 + 4 + 4.16) = Rs. 108.16Effective rate = (108.16 - 100) = 8.16%.

प्र: A train covered k km at 40 kmph and another 2k km at 20 kmph. Find the average speed of the train in covering the entire 3k km ? 1376 0

  • 1
    28 kmph
    सही
    गलत
  • 2
    24 kmph
    सही
    गलत
  • 3
    26 kmph
    सही
    गलत
  • 4
    32 kmph
    सही
    गलत
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उत्तर : 2. "24 kmph"
व्याख्या :

Answer: B) 24 kmph Explanation: Total time taken = k/40 + 2k/20 hours = 5k/40 = k/8 hours Average speed = 3k/(k/8) = 24 kmph.

प्र: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained ? 3056 0

  • 1
    5:3
    सही
    गलत
  • 2
    1:4
    सही
    गलत
  • 3
    4:1
    सही
    गलत
  • 4
    9:1
    सही
    गलत
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उत्तर : 4. "9:1"
व्याख्या :

Answer: D) 9:1 Explanation: Milk = 3/5 x 20 = 12 liters, water = 8 liters   If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.   Remaining milk = 12 - 6 = 6 liters Remaining water = 8 - 4 = 4 liters   10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.   The ratio of milk and water in the new mixture = 16:4 = 4:1   If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 x 10 = 8 liters.   Amount of water removed = 2 liters.   Remaining milk = (16 - 8) = 8 liters. Remaining water = (4 -2) = 2 liters.   Now 10 lts milk is added => total milk = 18 lts   The required ratio of milk and water in the final mixture obtained   = (8 + 10):2 = 18:2 = 9:1.

प्र: The boring of India’s first underwater rail tunnel has completed under which river  ? 1498 0

  • 1
    Hooghly River
    सही
    गलत
  • 2
    Kaveri River
    सही
    गलत
  • 3
    Godavari River
    सही
    गलत
  • 4
    Krishna River
    सही
    गलत
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उत्तर : 1. "Hooghly River"
व्याख्या :

Answer: A) Hooghly River Explanation: The boring of India’s first underwater rail tunnel under the Hooghly River for establishing metro link between Howrah and Kolkata has completed before its scheduled deadline of July 2017. The tunnel is 16.6 km long, out of which 10.8 km runs under the ground. Of this 10.8 km, 502 metres is under the water and the whole thing connects Howrah to the west and Salt lake to the east. It will have 12 stations and six will be underground. Estimated cost of the entire project is $750 million or about Rs 5,000 crores. The final commissioning of the project is expected by December 2019, following which it will be operational. The project is built by Afcons Transtonnelstroy and implemented by Kolkata Metro Railway Corporation Ltd (KMRCL).

प्र: If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true  ? 2119 0

  • 1
    x > y < z
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  • 2
    x < y < z
    सही
    गलत
  • 3
    x > y > z
    सही
    गलत
  • 4
    z < x < y
    सही
    गलत
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उत्तर : 4. "z < x < y"
व्याख्या :

Answer: D) z < x < y Explanation: x = √8 - √7 = 1/(√8 + √7) and y = √6 - √5 = 1/(√6 + √5) and z = √10 - 3 = 1/(√10 + 3) As (√8 + √7) > (√6 + √5), (√8 - √7) < (√6 - √5) As (√10 + 3) > (√8 + √7) > (√6 + √5) z < x < y.

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