IIT JEE Practice Question and Answer

Q: Two parallel chords on the same side of the centre of a circle are 5 cm apart. If the chords are 20 and 28 cm long, what is the radius of the circle? 1084 0

  • 1
    14.69 cm
    Correct
    Wrong
  • 2
    15.69 cm
    Correct
    Wrong
  • 3
    18.65 cm
    Correct
    Wrong
  • 4
    16.42 cm
    Correct
    Wrong
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Answer : 2. "15.69 cm"
Explanation :

Answer: B) 15.69 cm Explanation: Draw the two chords as shown in the figure. Let O be the center of the circle. Draw OC perpendicular to both chords. That divides the two chords in half.So CD = 10 and AB = 14. Draw radii OA and OD, both equal to radius r.We are given that BC = 5, the distance between the two chords. LetOB = x. We use the Pythagorean theorem on right triangle ABO AO² = AB² + OB² r² = 14² + x² We use the Pythagorean theorem on right triangle DCO DO² = CD² + OC² We see that OC = OB+BC = x+5, so r² = 10² + (x+5)² So we have a system of two equations: r² = 14² + x² r² = 10² + (x+5)² Since both left sides equal r², set the right sidesequal to each other. 14² + x² = 10² + (x+5)² 196 + x² = 100 + x² + 10x + 25 196 = 125 + 10x 71 = 10x 7.1 = x r² = 14² + x² r² = 196 + (7.1)² r² = 196 + 50.41 r² = 246.41 r = √246.41 r = 15.69745202 cm

Q: Solve the Logical Puzzle ? 1084 0

  • 1
    2
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    8
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 2. "4"
Explanation :

Answer: B) 4 Explanation:

Q: I go in hard. I come out soft. You blow me hard. What am I? 1083 0

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Answer :
Explanation :

Gum.

Q: The average salinity of seawater is 1082 0

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    35%
    Correct
    Wrong
  • 2
    3.5%
    Correct
    Wrong
  • 3
    3%
    Correct
    Wrong
  • 4
    2.5%
    Correct
    Wrong
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Answer : 2. "3.5%"
Explanation :

Answer: B) 3.5% Explanation: Seawater or salt water is water from a sea or ocean. On average, seawater in the world's oceans has a salinity of approximately 3.5% or 35 parts per thousand. This means that for every 1 litre (1000 mL) of seawater there are 35 grams of salts dissolved in it.   Hence, The average salinity of seawater is 3.5%.

Q: Name the two Indian companies that have been named in the list of world's most ethical companies by American think tank Ethisphere Institute. 1082 0

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    Dabur and Tata
    Correct
    Wrong
  • 2
    Mahindra and Tata
    Correct
    Wrong
  • 3
    Patanjali and Dabur
    Correct
    Wrong
  • 4
    Tata Steel and Wipro
    Correct
    Wrong
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Answer : 4. "Tata Steel and Wipro"
Explanation :

Answer: D) Tata Steel and Wipro Explanation: Two Indian companies, Tata SteelBSE and Wipro have been named in the list of world’s most ethical companies by American think tank Ethisphere Institute. Ethisphere honors those companies who recognize their role in society to influence and drive positive change in the business community and organizations around the world. In 2017, 124 honorees were spanning five continents, 19 countries, and 52 industry sectors. Wipro is one of the two information technology companies named in the list, the other being Xerox Corporation.

Q: FIFA 2018 World Cup won by 1081 0

  • 1
    Croatia
    Correct
    Wrong
  • 2
    Brazil
    Correct
    Wrong
  • 3
    Argentina
    Correct
    Wrong
  • 4
    France
    Correct
    Wrong
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Answer : 4. "France"
Explanation :

Answer: D) France Explanation: France national football team has won the FIFA 2018 - an international football tournament contested by the men's national teams of the member associations of FIFA once every four years. It took place in Russia from 14 June to 15 July 2018.

Q: Which international Airport Ltd has bagged the National Award for 'Excellence' in Energy Management ? 1080 0

  • 1
    New Delhi
    Correct
    Wrong
  • 2
    Lucknow
    Correct
    Wrong
  • 3
    Hyderabad
    Correct
    Wrong
  • 4
    Mumbai
    Correct
    Wrong
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Answer : 3. "Hyderabad"
Explanation :

Answer: C) Hyderabad Explanation:

Q: Which of the following is known as the Electronic City of India? 1080 0

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    Hyderabad
    Correct
    Wrong
  • 2
    Mumbai
    Correct
    Wrong
  • 3
    Bengaluru
    Correct
    Wrong
  • 4
    Gurgaon
    Correct
    Wrong
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Answer : 3. "Bengaluru"
Explanation :

Answer: C) Bengaluru Explanation: Bengaluru city is known as the Electronic City of India. Because Electronic City is an IT hub in Anekal taluk of Bengaluru, Karnataka, India. It is one of India's largest electronic industrial parks in 3 phases i.e, in Konappana Agrahara and Doddathogur villages, Bengaluru.

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