IIT JEE Practice Question and Answer

Q: Which of these is not related to the great depression? 1497 0

  • 1
    Drop in profits
    Correct
    Wrong
  • 2
    Drop in income
    Correct
    Wrong
  • 3
    Drop in tax revunes
    Correct
    Wrong
  • 4
    Drop in health
    Correct
    Wrong
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Answer : 4. "Drop in health"
Explanation :

Answer: D) Drop in health Explanation: The Great Depression was a severe worldwide economic depression that took place mostly during the 1930s, beginning in the U.S. The timing of the Great Depression varied across nations; in most countries it started in 1929 and lasted until the late-1930s. It was the longest, deepest, and most widespread depression of the 20th century. In the 21st century, the Great Depression is commonly used as an example of how far the world's economy can decline.

Q: Question : What is the sum which earned interest ? Statements : a. The total simple interest was Rs. 9000 after 9 years.b. The total of sum and simple interest was double of the sum after 6 years. 1497 0

  • 1
    Only a is sufficient
    Correct
    Wrong
  • 2
    Neither a nor b is sufficient
    Correct
    Wrong
  • 3
    Only b is sufficient
    Correct
    Wrong
  • 4
    Both a and b sufficient
    Correct
    Wrong
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Answer : 4. "Both a and b sufficient"
Explanation :

Answer: D) Both a and b sufficient Explanation: Let the sum be Rs. x a. gives, S.I = Rs. 9000 and time = 9 years. b. gives, Sum + S.I for 6 years = 2 x Sum --> Sum = S.I for 6 years. Now, S.I for 9 years = Rs. 9000 S.I for 1 year = Rs. 9000/9 = Rs. 1000. S.I for 6 years = Rs. (1000 x 6)= Rs. 6000. --> x = Rs. 6000 Thus, both a and b are necessary to answer the question.

Q: P is 30% more efficient than Q. How much time will they, working together, take to complete a job which P alone could have done in 23 days? 1497 0

  • 1
    16 days
    Correct
    Wrong
  • 2
    13 days
    Correct
    Wrong
  • 3
    15 days
    Correct
    Wrong
  • 4
    12 days
    Correct
    Wrong
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Answer : 2. "13 days"
Explanation :

Answer: B) 13 days Explanation: Ratio of times taken by P & Q = 100 : 130 = 10:13   Let Q takes x days to do the work Then, 10:13 :: 23:x => x = 23x13/10 => x = 299/10   P's 1 day's work = 1/23 Q's 1 day's work = 10/299 (P+Q)'s 1 day's work = (1/23 + 10/299) = 23/299 = 1/13 Hence, P & Q together can complete the work in 13 days.

Q: In a mixture of milk and water the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water ? (Weight in gm) 1496 0

  • 1
    80%
    Correct
    Wrong
  • 2
    70%
    Correct
    Wrong
  • 3
    75%
    Correct
    Wrong
  • 4
    62%
    Correct
    Wrong
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Answer : 1. "80%"
Explanation :

Answer: A) 80% Explanation: Water in 60 gm mixture=60 x 75/100 = 45 gm. and Milk = 15 gm.   After adding 15 gm. of water in mixture, total water = 45 + 15 = 60 gm and weight of a mixture = 60 + 15 = 75 gm.   So % of water = 100 x 60/75 = 80%.

Q: Arun’s weight is 140% of Akhil’s weight. Nani’s weight is 90% of Shreyon’s weight. Shreyon’s weight is twice as much as Akhil’s. What percentage of Arun’s weight is Nani’s weight? 1496 0

  • 1
    76%
    Correct
    Wrong
  • 2
    77%
    Correct
    Wrong
  • 3
    78%
    Correct
    Wrong
  • 4
    79%
    Correct
    Wrong
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Answer : 3. "78%"
Explanation :

Answer: C) 78% Explanation: Let Akhil's weight = p kg => Shreyon's weight = 2p kg Nani's weight = 0.9 x 2p = 1.8p kg => Arun's weight = 1.4p kg Required percentage = 1.4p1.8p x 100 = 77.8% ~= 78%

Q: Lasya invested certain amount for two rates of simple interests at 5% p.a. and 4% p.a. What is the ratio of Lasya's investments if the interests from those investments are equal ? 1496 0

  • 1
    4 : 5
    Correct
    Wrong
  • 2
    5 : 4
    Correct
    Wrong
  • 3
    7 : 6
    Correct
    Wrong
  • 4
    6 : 7
    Correct
    Wrong
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Answer : 1. "4 : 5"
Explanation :

Answer: A) 4 : 5 Explanation: Let x be the investment of Lasya in 5% and y be in 4% x(5)(n)/100 = y(4)(n)/100 => x/y = 4/5 x : y = 4 : 5

Q: What time will it be in 8 hours? 1496 0

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Answer :
Explanation :

For exampe if it is 12:45 AM, then after 8 hours the time is  12 hrs 45 min + 8 hrs = 8 : 45 PM in the night on the same day.

Q: Glass is made of the mixture of 1495 0

  • 1
    sand and silicates
    Correct
    Wrong
  • 2
    quartz and sand
    Correct
    Wrong
  • 3
    mica and quartz
    Correct
    Wrong
  • 4
    mica and silicates
    Correct
    Wrong
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Answer : 1. "sand and silicates"
Explanation :

Answer: A) sand and silicates Explanation: A glass is made of liquid sand. You can make glass by heating ordinary sand and made into a liquid and mix with silicates to form a glass.

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