IIT JEE Practice Question and Answer

Q: Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit ? 2756 0

  • 1
    Rs. 17.80
    Correct
    Wrong
  • 2
    Rs. 16.30
    Correct
    Wrong
  • 3
    Rs. 14
    Correct
    Wrong
  • 4
    Rs. 15.40
    Correct
    Wrong
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Answer : 2. "Rs. 16.30"
Explanation :

Answer: B) Rs. 16.30 Explanation: C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630. S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819. S.P. per kg = 819/50 = Rs. 16.38 = 16.30.

Q: How many lines of symmetry does a Pentagon have? 2755 0

  • 1
    4
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 2. "5"
Explanation :

Answer: B) 5 Explanation: A regular Pentagon have 5 sides and 5 lines of symmetry.  The number of lines of symmetry in a regular polygon is equal to the number of sides.

Q: If selling price is doubled, the profit triples. Find the profit percent ? 2755 0

  • 1
    100%
    Correct
    Wrong
  • 2
    200%
    Correct
    Wrong
  • 3
    300%
    Correct
    Wrong
  • 4
    400%
    Correct
    Wrong
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Answer : 1. "100%"
Explanation :

Answer: A) 100% Explanation: Let the C.P be Rs.100 and S.P be Rs.x, Then The profit is (x-100)Now the S.P is doubled, then the new S.P is 2xNew profit is (2x-100)Now as per the given condition; => 3(x-100) = 2x-100By solving, we get x = 200Then the Profit percent = (200-100)/100 = 100Hence the profit percentage is 100%

Q: The two forms of democracy are 2754 0

  • 1
    Parliamentary and King
    Correct
    Wrong
  • 2
    Monarchical and Republican
    Correct
    Wrong
  • 3
    Direct and Indirect
    Correct
    Wrong
  • 4
    Parliamentary and Presidential
    Correct
    Wrong
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Answer : 4. "Parliamentary and Presidential"
Explanation :

Answer: D) Parliamentary and Presidential Explanation: There are two major forms of democratic government. I. ParliamentaryII. Presidential The citizens elect the leaders in democratic government. The main difference is legislative and executive branches. Executive - head of governmentLegislative - how laws are made   I. Parliamentary democratic government : (example - United Kingdom ) 1. Parliament = Legislature (Laws)2. Parliament controls the power3. Head of government is a prime minister chosen by the legislature4. Prime minister and cabinet are members of the legislature5. Prime minister answers to the legislature (fusion of powers)6. The government will stay in office for a specified period unless the prime minister loses support of the majority on an important vote.7. If this occurs- the P.M. must resign and elections are held immediately.   II. Presidential democratic government : (example - United States of America) 1. The executive and legislative branches are separate bodies elected independently by the citizens.2. Separation of Powers3. There are checks and balances where each branch can overrule the other.4. The president answers to the voters, not the legislature.5. The people elect the president, and elections are held at set intervals.

Q: Which of the following statements about financial aid are true? 2751 0

  • 1
    Financial aid is available to community college students.
    Correct
    Wrong
  • 2
    Most high school varsity sports team members will receive an athletic scholarship.
    Correct
    Wrong
  • 3
    Elite, private colleges don't offer financial aid packages.
    Correct
    Wrong
  • 4
    Only children of unemployed parents can't qualify for financial aid.
    Correct
    Wrong
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Answer : 1. "Financial aid is available to community college students."
Explanation :

Answer: A) Financial aid is available to community college students. Explanation:

Q: Rajesh rows in still water with a speed of 4.5 kmph to go to a certain place and comes back. Find his average speed for the whole journey, if the river is flowing with a speed of 1.5 kmph? 2750 0

  • 1
    2 kmph
    Correct
    Wrong
  • 2
    4 kmph
    Correct
    Wrong
  • 3
    6 kmph
    Correct
    Wrong
  • 4
    8 kmph
    Correct
    Wrong
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Answer : 2. "4 kmph"
Explanation :

Answer: B) 4 kmph Explanation: Let the distance in one direction = k kms Speed in still water = 4.5 kmph Speed of river = 1.5 Hence, speed in upstream = 4.5 - 1.5 = 3 kmph Speed in downstream = 4.5 + 1.5 = 6 kmph Time taken by Rajesh to row upwards = k/3 hrs Time taken by Rajesh to row downwards = k/6 hrs Now, required Average speed =Total distanceTotal speed = 2kk3 + k6 = 2k x 186k + 3k = 4 kmph    Therefore, the average speed of the whole journey = 4kmph.

Q: How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even ? 2750 0

  • 1
    521
    Correct
    Wrong
  • 2
    720
    Correct
    Wrong
  • 3
    420
    Correct
    Wrong
  • 4
    225
    Correct
    Wrong
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Answer : 2. "720"
Explanation :

Answer: B) 720 Explanation: Let last digit is 2when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways.so for last digit = 2, total numbers=240   Similarly for 4 and 6When last digit = 4, total no. of ways =240and last digit = 6, total no. of ways =240so total of 720 even numbers are possible.

Q: The absorption of ink by blotting paper involves 2748 0

  • 1
    viscosity of ink
    Correct
    Wrong
  • 2
    diffusion of ink through the blotting
    Correct
    Wrong
  • 3
    capillary action phenomenon
    Correct
    Wrong
  • 4
    siphon action
    Correct
    Wrong
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Answer : 3. "capillary action phenomenon"
Explanation :

Answer: C) capillary action phenomenon Explanation: The absorption of ink by blotting paper involves capillary action phenomenon because the blotting paper is a thin and a smooth paper which allows a little thicker liquids like ink to absorb.

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