IIT JEE Practice Question and Answer

Q: A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is: 4277 0

  • 1
    A gain of Rs. 27
    Correct
    Wrong
  • 2
    A loss of Rs. 37
    Correct
    Wrong
  • 3
    A loss of Rs. 27
    Correct
    Wrong
  • 4
    A gain of Rs. 37
    Correct
    Wrong
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Answer : 2. "A loss of Rs. 37"
Explanation :

Answer: B) A loss of Rs. 37 Explanation: As the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5, we will multiply the initial amount by 1.5 thrice and by 0.5 thrice (in any order). The overall resultant will remain same. So final amount with the person will be (in all cases): = 64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)= Rs. 27 Hence the final result is:  64 − 27 = 37 A loss of Rs.37

Q: Which of the following contributed to the failure of prohibition? 4266 0

  • 1
    it was not imposed strictly on immigrants
    Correct
    Wrong
  • 2
    many americans didnt consider drinking to be a crime
    Correct
    Wrong
  • 3
    it adversely affected american productivity
    Correct
    Wrong
  • 4
    organized crime controlled illegal alcohol production
    Correct
    Wrong
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Answer : 4. "organized crime controlled illegal alcohol production"
Explanation :

Answer: D) organized crime controlled illegal alcohol production Explanation: Crime connected with illegal alcohol production and sale became a major issue so that even many people who had originally supported Prohibition decided that it needed to be repealed.

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Answer : 4. "Rs. 1,00,000"
Explanation :

Answer: D) Rs. 1,00,000 Explanation: Deepa invested Rs.50,000 for 12 months, Rs.(50000 + 20000) for 12 months and Rs.(50000 + 20000 + 20000) for 12 months.i.e, she invested Rs.50,000 for 12 months, Rs.70000 for 12 months and Rs.90000 for 12 months.Sushma invested Rs. 70000 for 2 years; i.e, Rs.70000 for 24 monthsAnd, Avanthi invested Rs.70000 for 1 year; i.e, Rs. 70000 for 12 months. Their investing ratio:Deepa : Sushma : Avanthi = (50,000 x 12 + 70000 x 12 + 90000 x 12):(70000 x 24):(70000 x 12)= (25,20,000):(16,80,000):(8,40,000) = 252:168:84 = 3:2:1 Total profit for 3 years = Rs.3,00,000Therefore, Sushma's share = Rs.(3,00,000 x 2 /(3+2+1)) = Rs.(3,00,000 x 2/6) = Rs.1,00,000.

Q: One reason the skeletal system is important is because 4262 0

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    the skeletal system creates the connective tissue and tendons that allow the body to move
    Correct
    Wrong
  • 2
    the skeletal system is responsible for controlling functions of the entire body
    Correct
    Wrong
  • 3
    without the skeletal system, an individual would not have enough calcium to live
    Correct
    Wrong
  • 4
    the skeletal system is solely responsible for housing the body's immune system
    Correct
    Wrong
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Answer : 1. "the skeletal system creates the connective tissue and tendons that allow the body to move"
Explanation :

Answer: A) the skeletal system creates the connective tissue and tendons that allow the body to move Explanation: One reason the skeletal system is important is because the skeletal system creates the connective tissue and tendons that allow the body to move.

Q: Artist is to painting as senator is to 4259 0

  • 1
    politician
    Correct
    Wrong
  • 2
    constituents
    Correct
    Wrong
  • 3
    attorney
    Correct
    Wrong
  • 4
    law
    Correct
    Wrong
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Answer : 4. "law"
Explanation :

Answer: D) law Explanation: As we know that an artist makes paintings, similarly, a senator makes laws.   Hence, Artist : Painting :: Senator : Law.

Q: Ezra cup is associated with which sports? 4255 0

  • 1
    Hockey
    Correct
    Wrong
  • 2
    Polo
    Correct
    Wrong
  • 3
    Rowing
    Correct
    Wrong
  • 4
    Football
    Correct
    Wrong
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Answer : 2. "Polo"
Explanation :

Answer: B) Polo Explanation: The Ezra Cup is a popular polo tournament conducted annually in India. The Calcutta Polo Club runs this oldest and first ever Polo Trophy. The first Ezra Cup was held in 1880. After a period of inactivity, it has now been revived by Mr. Keshav Bangur, Calcutta Polo Club's president.

Q: If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price. 4254 0

  • 1
    6:31
    Correct
    Wrong
  • 2
    11:30
    Correct
    Wrong
  • 3
    7:30
    Correct
    Wrong
  • 4
    31:6
    Correct
    Wrong
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Answer : 3. "7:30"
Explanation :

Answer: C) 7:30 Explanation: Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.M.P. = (6/5) S.P.Since the percentage discount = Percentage profit,65S.P - S.P65S.P×100 = S.P -C.PC.P×100Therefore, 1/6 = (S.P/C.P) – 1 => S.P = (7/6) C.PM.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.PTherefore, Ratio of discount to C.P= (M.P – S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]= 7/30   Therefore, the ratio is 7 : 30

Q: Vinod have 20 rupees. He bought 1, 2, 5 rupee stamps. They are different in numbers by the reason of no change, the shop keeper gives 3 one rupee stamps. So how many stamps Vinod have ? 4250 0

  • 1
    10
    Correct
    Wrong
  • 2
    18
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 1. "10"
Explanation :

Answer: A) 10 Explanation: Given total rupees = 20 RsNo. of one rupee stamps = 3Now, remaining money = Rs. 17With that he buys only 2 and 5 rupee stampsLet number of Rs. 5 stamps = KLet number of Rs. 2 stamps = L5K + 2L = 17K = 3, L = 1 (possible)L = 6, K = 1 (possible)=> But given that they are different in number so, K is not equal to 3one rupee stamps = 32 two stamps = 65 rupee stamps = 1Total number of stamps = 10.

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