IIT JEE Practice Question and Answer

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Answer : 4. "149600 kgs"
Explanation :

Answer: D) 149600 kgs Explanation: Let the total quantity of gold be p kgs. According to the question, 50% of p + 25% of p + 12.5% of p = 130900 87.5% of p = 130900 p = 130900 x 100/87.5  = 149600 kgs.   Therefore, the initial gold quantity that king has = p = 149600 kgs.

Q: 5 years ago Sushma was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find their ages ? 3460 0

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    24 and 13 years
    Correct
    Wrong
  • 2
    48 and 24 years
    Correct
    Wrong
  • 3
    35 and 11 years
    Correct
    Wrong
  • 4
    33 and 15 years
    Correct
    Wrong
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Answer : 3. "35 and 11 years"
Explanation :

Answer: C) 35 and 11 years Explanation: Let the age of sushma be x and the age of her son is yThen five years before x-5=5(y-5) ...(1)Five years hence x+5 = 3(y+5)-8 .....(2) By soving (1) & (2), we get5y - 15 = 3y + 7y = 11 => x = 35 Therefore, the age of Sushma = 35 and her son = 11.

Q: Time taken by P alone to finish a work is 50% more than the time taken by P and Q together. Q is thrice as efficient as R. If Q and R together can complete the work in 22.5 days, then how many days will P alone take to complete the work ? 3449 0

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    17 days
    Correct
    Wrong
  • 2
    11 days
    Correct
    Wrong
  • 3
    15 days
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 3. "15 days"
Explanation :

Answer: C) 15 days Explanation: We know that Time is inversely proportional to Efficiency Here given time ratio of P & P+Q as P/P+Q = 150/100 = 3:2 Efficiency ratio of P & Q as P:Q = 2:1 ....(1) Given Efficiency ratio of Q & R as Q:R = 3:1 ....(2) From (1) & (2), we get P:Q:R = 6:3:1 P alone can finish the work in 22.5(3+1)/6 = 15 days.

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Answer :
Explanation :

1. Answer : 2 Explanation : Productivity = Total production/area of Agr.land  Productivity of UP = [ (35000+30000+25000) / (30/100) ] = 300000   Productivity of MP = [ (30000+37500+27500) / (25/100) ] = 380000   Productivity of Bihar = [ (22500+27500+25000) / (20/100) ] = 375000  Productivity of Odisha = [ (22500+15000+10000) / (5/100) ]= 950000   Productivity of Haryana = [ (30000+25000+35000) / (8/100) ] = 1125000   Productivity of Punjab = [ (40000+35000+30000) / (12/100) ] = 875000  The Productivity of Haryana is the maximum.       2. Answer : 5   Explanation : Production of Punjab is maximum = 105000 tonnes      3. Answer : 3  Explanation : Production of Wheat in Punjab = 40000 tones Production of Maize in Odisha = 10000 tones Required % = (40000 - 10000)/100 = 300%      4. Answer : 4  Explanation : The ratio of prodution of Rice in Bihar to the production of Wheat in Haryana = 25000 tonnes : 25000 tonnes = 1 : 1       5. Answer : 1   Explanation : Income of MP from export of 40% of Rice at the rate of Rs.30 per kg = Rs.39crore Income of UP from export of 30% of Rice at the rate of Rs.32 per kg = Rs.28.8 crore  Required ratio = 39 : 28.8 = 390 : 288 = 65 : 48

Q: Excretion rates of drugs vary greatly depending upon 3423 0

  • 1
    type of drug
    Correct
    Wrong
  • 2
    medical condition of the person who took the drug
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    time at which drug was taken
    Correct
    Wrong
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Answer : 3. "Both A & B"
Explanation :

Answer: C) Both A & B Explanation: Excretion rates of drugs vary greatly depending upon:   * The type of drug taken. * The medical condition of the person who took the drug.   Nonvolatile drugs are excreted in the body through renal excretion or through kidneys and bladder by means of urine. Other drugs are excreted either by means of sweat, bile, milk, saliva or other body fluids.

Q: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares? 3416 0

  • 1
    10000 and 15000
    Correct
    Wrong
  • 2
    15000 and 10000
    Correct
    Wrong
  • 3
    5000 and 20000
    Correct
    Wrong
  • 4
    20000 and 5000
    Correct
    Wrong
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Answer : 1. "10000 and 15000"
Explanation :

Answer: A) 10000 and 15000 Explanation: As both A and B invest the same amounts, the ratio of their profits at the end of the year is equal to the ratio of the time periods for which they have invested.   Thus, the required ratio of their profits = A : B = 8 : 12 = 2 : 3.   Hence, share of A in the total profit = 2 x 25000/5 = Rs.10000   Similarly, share of B in the total profit = 3 x 25000/5 = Rs.15000

Q: Which is the World's Fastest SUPERCOMPUTER and to which country it belongs ? 3415 2

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    JAGUAR --- ENGLAND
    Correct
    Wrong
  • 2
    PARAM YUVA 2 --- INDIA
    Correct
    Wrong
  • 3
    CRAY-1 --- ENGLAND
    Correct
    Wrong
  • 4
    TIANHE 2 --- CHINA
    Correct
    Wrong
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Answer : 4. "TIANHE 2 --- CHINA"
Explanation :

Answer: D) TIANHE 2 --- CHINA Explanation:

Q: Which of these is not a simple machine? 3411 1

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    a pair of scissors
    Correct
    Wrong
  • 2
    a lever
    Correct
    Wrong
  • 3
    a ramp
    Correct
    Wrong
  • 4
    the pulley
    Correct
    Wrong
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Answer : 1. "a pair of scissors"
Explanation :

Answer: A) a pair of scissors Explanation: Any of the basic mechanical devices for applying a force are called simple machines. There are 6 basic simple machines; the lever, the wheel and axle, the inclined plane, the wedge, the pulley, and the screw. Several of these simple machines are related to each other. But, each has a specific purpose in the world of doing work.

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