IIT JEE Practice Question and Answer

Q: The average age of 80 boys in a class is 15. The average age of group of 15 boys in the class is 16 and the average of another 25 boys in the class is 14. What is the average age of the remaining boys in the class ? 1698 0

  • 1
    12.24 yrs
    Correct
    Wrong
  • 2
    13.25 yrs
    Correct
    Wrong
  • 3
    16 yrs
    Correct
    Wrong
  • 4
    15.25 yrs
    Correct
    Wrong
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Answer : 4. "15.25 yrs"
Explanation :

Answer: D) 15.25 yrs Explanation: Total ages of 80 boys = 15 x 80 = 1200 yrs.Total age of 16 boys = 15 x 16 = 240 yrsTotal age of 25 boys = 14 x 25 = 350 yrs.Average age of remaining boys = 1200 - (240+350) / 80 - (25+15) = 610/41 = 15.25 yrs.

Q: ____________has became the second city in the country, and the first in south India, to have a full-fledged Metro rail. 1698 0

  • 1
    Bangalore
    Correct
    Wrong
  • 2
    Chennai
    Correct
    Wrong
  • 3
    Kerala
    Correct
    Wrong
  • 4
    Hyderabad
    Correct
    Wrong
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Answer : 1. "Bangalore"
Explanation :

Answer: A) Bangalore Explanation: Bengaluru has became the second city in the country, and the first in south India, to have a full-fledged Metro rail in operation following the opening of a final 12-km section of the 42-km first phase of the Metro project. The first phase, comprising an 18-km east-west line and a 24-km north-south line, built at a cost of Rs 13,845 crore, was dedicated to the nation by President Pranab Mukherjee at an event in Bengaluru.

Q: The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ? 1697 0

  • 1
    55.12 cm
    Correct
    Wrong
  • 2
    22.54 cm
    Correct
    Wrong
  • 3
    42.51 cm
    Correct
    Wrong
  • 4
    38.57 cm
    Correct
    Wrong
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Answer : 4. "38.57 cm"
Explanation :

Answer: D) 38.57 cm Explanation: We know that perimeter of rectangle = 2(l+b) = 2(8+7)= 30cmGiven perimeter of square is twice the perimeter of rectangle = 2(30) = 60cmTherefore, side of the square is = 1/4 x 60 = 15cmCircumference of the required semicircle = πr + 2r = 227× 152 + 2×152 = 23.57 + 15 = 38.57cm.

Q: The difference between circumference and semidiameter of a circle is 37 cm. What is the diameter of the circle ? 1697 0

  • 1
    18 cm
    Correct
    Wrong
  • 2
    12 cm
    Correct
    Wrong
  • 3
    16 cm
    Correct
    Wrong
  • 4
    14 cm
    Correct
    Wrong
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Answer : 4. "14 cm"
Explanation :

Answer: D) 14 cm Explanation: circumference of a circle = 2πr   => 2 × 22/7 × r – r = 37   => 37/7 × r = 37   => r = 7 cm.   Diameter D = 2r = 7×2 = 14 cm.

Q: What type of lens is a magnifying glass? 1697 0

  • 1
    Diverging
    Correct
    Wrong
  • 2
    Spherical
    Correct
    Wrong
  • 3
    Converging
    Correct
    Wrong
  • 4
    Achromatic
    Correct
    Wrong
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Answer : 3. "Converging"
Explanation :

Answer: C) Converging Explanation: A magnifying glass is a convex lens that is used to produce a magnified image of an object. It is also called a hand lens in laboratory contexts.

Q: Which of the following is not a Fundamental Right? 1697 0

  • 1
    Right To Freedom Of Speech And Expression
    Correct
    Wrong
  • 2
    Right To Employment
    Correct
    Wrong
  • 3
    Right To Equality
    Correct
    Wrong
  • 4
    Right To Education
    Correct
    Wrong
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Answer : 2. "Right To Employment"
Explanation :

Answer: B) Right To Employment Explanation: Fundamental Rights are the basic rights of the common people and inalienable rights of the people who enjoy it under the charter of rights of Constitution of India.   The six fundamental rights recognised by the Indian constitution are:: the right to equality, right to freedom, right against exploitation, right to freedom of religion, cultural and educational rights, right to constitutional remedies.

Q: Solid Carbon dioxide is known as 1697 0

  • 1
    Wet Ice
    Correct
    Wrong
  • 2
    Dry Ice
    Correct
    Wrong
  • 3
    Solid Ice
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 2. "Dry Ice"
Explanation :

Answer: B) Dry Ice Explanation: Dry ice or Cardice is the solid form of Carbon dioxide.   1. It has an advantage of lower temperature than the water ice and doesn't leave any residue.   2. The reason why it is called as Dry ice is because unlike the normal ice, it won't melt into liquid form. It directly evaporates into the air as gas. That is Solid to gas form passing through liquid state is a phenomenon called as Sublimation.   3. The primary use of dry ice is as cooling agent.

Q: The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is  ? 1697 0

  • 1
    3 years
    Correct
    Wrong
  • 2
    4 years
    Correct
    Wrong
  • 3
    2.5 years
    Correct
    Wrong
  • 4
    2 years
    Correct
    Wrong
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Answer : 2. "4 years"
Explanation :

Answer: B) 4 years Explanation: P1+20100n > 2P        Now, (6/5 x 6/5 x 6/5 x 6/5) > 2.       So, n = 4 years.

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