IIT JEE Practice Question and Answer

Q: The length of a class room floor exceeds its breadth by 25 m. The area of the floor remains unchanged when the length is decreased by 10 m but the breadth is increased by 8 m. The area of the floor is 1465 0

  • 1
    5100 sq.m
    Correct
    Wrong
  • 2
    4870 sq.m
    Correct
    Wrong
  • 3
    4987 sq.m
    Correct
    Wrong
  • 4
    4442 sq.m
    Correct
    Wrong
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Answer : 1. "5100 sq.m"
Explanation :

Answer: A) 5100 sq.m Explanation: Let the breadth of floor be 'b' m. Then, length of the floor is 'l = (b + 25)' Area of the rectangular floor = l x b = (b + 25) × b According to the question, (b + 15) (b + 8) = (b + 25) × b b2 + 8b + 15b + 120 = b2 + 25b 2b = 120 b = 60 m. l = b + 25 = 60 + 25 = 85 m.   Area of the floor = 85 × 60 = 5100 sq.m.

Q: What kind of crystalline solid is graphite? 1464 0

  • 1
    Metallic
    Correct
    Wrong
  • 2
    Ionic
    Correct
    Wrong
  • 3
    Molecular
    Correct
    Wrong
  • 4
    Covalent- network
    Correct
    Wrong
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Answer : 4. "Covalent- network"
Explanation :

Answer: D) Covalent- network Explanation: Graphite is a covalent-network type of crystalline solid.   There are two main categories of solids. 1. Crystalline solids and 2. Amorphous solids. Crystalline solids are those in which the atoms, ions, or molecules that make up the solid exist in a regular, well-defined arrangement. There are four types of crystalline solids : Ionic solids :— Made up of positive and negative ions and held together by electrostatic attractions. They’re characterized by very high melting points and brittleness and are poor conductors in the solid state. An example of an ionic solid is table salt, NaCl. Molecular solids :— Made up of atoms or molecules held together by London dispersion forces, dipole-dipole forces, or hydrogen bonds. Characterized by low melting points and flexibility and are poor conductors. An example of a molecular solid is sucrose. Covalent-network (also called atomic) solids :— Made up of atoms connected by covalent bonds; the intermolecular forces are covalent bonds as well. Characterized as being very hard with very high melting points and being poor conductors. Examples of this type of solid are diamond and graphite, and the fullerenes. As you can see below, graphite has only 2-D hexagonal structure and therefore is not hard like diamond. The sheets of graphite are held together by only weak London forces! Metallic solids :— Made up of metal atoms that are held together by metallic bonds. Characterized by high melting points, can range from soft and malleable to very hard, and are good conductors of electricity.

Q: Word Challenge 1463 0

  • 1
    cellphone
    Correct
    Wrong
  • 2
    microphone
    Correct
    Wrong
  • 3
    Mobilephone
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 3. "Mobilephone"
Explanation :

Answer: C) Mobilephone Explanation: Given 8, 9, 1, 11 letters indicates HOME which is residence 7, 2, 9, 5 indicates POOL where we can swim 1, 4, 5, 11 indicates MILE which is unit of distance 10, 9, 3, 6, 5 is NOBEL which is an International Prize 6, 11 are 'e' and 2, 9 are 'o' are same With all the above hints the word is MOBILEPHONE.

Q: What is the Probability of all cars not clashing each other ? 1462 0

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

Answer: C) 1/4 Explanation: Non collision can happen only when all the cars move in same direction. That is either all cars moving in clockwise direction or all cars moving in anti clockwise direction.P(all cars not colliding) = P(all cars moving in the same direction) = P(all cars moving in clockwise direction)  +  P(all cars moving in anticlockwise direction) = [p(A --> C) x p(C --> B) x p(B --> A)]  +  [p(A --> B) x p(B --> C) x p(C --> A)] = [1/2 x 1/2 x 1/2] + [1/2 x 1/2 x 1/2] = 1/8 + 1/8 = 1/4

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Answer :
Explanation :

Let the present age's of mother be 'M' and that of her son be 'S'. According to the given data in the question, M - 5 = 3(S - 5) F - 3S = -10  ...............(1) Then given , M + 5 : S + 5 = 11 : 5  => 5M - 11S = 30 ..............(2)   From (1) & (2), we get S = 20 Then by substituting S = 20 in (1) or (2), we get M = 50.   Hence, the present age of mother is M = 50 years.

Q: "Confederation Cup" is associated with which of the following game? 1462 0

  • 1
    Hockey
    Correct
    Wrong
  • 2
    Badminton
    Correct
    Wrong
  • 3
    Chess
    Correct
    Wrong
  • 4
    Football
    Correct
    Wrong
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Answer : 4. "Football"
Explanation :

Answer: D) Football Explanation:

Q: The construction of Warangal Fort was started by ______ ? 1462 0

  • 1
    Beta - II
    Correct
    Wrong
  • 2
    Rudra
    Correct
    Wrong
  • 3
    Jayapa
    Correct
    Wrong
  • 4
    Prola - II
    Correct
    Wrong
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Answer : 2. "Rudra"
Explanation :

Answer: B) Rudra Explanation:

Q: Prokaryotic cells lack 1462 0

  • 1
    Membrane bound by organelles
    Correct
    Wrong
  • 2
    Nucleolus
    Correct
    Wrong
  • 3
    Nuclear membrane
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 4. "All the above"
Explanation :

Answer: D) All the above Explanation: Prokaryotic cells lack a nucleus and do not have an extensive system of interior membranes. They are encased in a cell wall and many contain external structures such as a capsule, flagellum, or pili. Prokaryotes – have a relatively uniform interior that is not subdivided by internal membranes.

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