IIT JEE Practice Question and Answer

Q: Which color has the highest frequency? 1412 0

  • 1
    Violet
    Correct
    Wrong
  • 2
    Red
    Correct
    Wrong
  • 3
    Indigo
    Correct
    Wrong
  • 4
    Green
    Correct
    Wrong
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Answer : 1. "Violet"
Explanation :

Answer: A) Violet Explanation: In VIBGYOR. It has colors ordered from highest to lowest frequency.                 Violet > Indigo > Blue > Green > Yellow > Orange > Red   That says Violet has the highest frequency. We know, Speed of light = Frequency x Wavelength => As frequeny is inversely proportional to wavelength i.e, as frequwncy goes high wavelength goes down.   So, the violet color has the highest frequency.

Q: What kind of creature is the heart on its head? 1412 0

  • 1
    Cockroach
    Correct
    Wrong
  • 2
    Snail
    Correct
    Wrong
  • 3
    Shrimps
    Correct
    Wrong
  • 4
    Honey bee
    Correct
    Wrong
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Answer : 3. "Shrimps"
Explanation :

Answer: C) Shrimps Explanation: A Shrimps heart is located on its head.

Q: On what are the principles of joint operations formed? 1412 0

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Answer :
Explanation :

The principles of joint operations are formed around the traditional principles of war.   The other three additional principles include restraint, perseverance, and legitimacy which are relevant to how the Armed Forces of the United States use combat power across the range of military operations.

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Answer :
Explanation :

Given A,B,C can complete a work in 15,20 and 30 respectively. The total work is given by the LCM of 15, 20, 30 i.e, 60. A's 1 day work = 60/15 = 4 units B's 1 day work = 60/20 = 3 units C's 1 day work = 60/30 = 2 units (A + B + C) worked for 2 days = (4 + 3 + 2) 2 = 18 units  Let B + C worked for x days = (3 + 2) x = 5x units C worked for 2 days = 2 x 2 = 4 units Then, 18 + 5x + 4 = 60 22 + 5x = 60 5x = 38 x = 7.6   Therefore, total number of days taken to complete the work = 2 + 7.6 + 2 = 11.6 = 11 3/5 days.

Q: Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 m x 5 m when 10% of its volume is occupied by concrete ? 1411 0

  • 1
    6000
    Correct
    Wrong
  • 2
    5400
    Correct
    Wrong
  • 3
    3800
    Correct
    Wrong
  • 4
    4700
    Correct
    Wrong
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Answer : 1. "6000"
Explanation :

Answer: A) 6000 Explanation: Let 'B' be the nuber of bricks. => 10 x 4/100 x 5 x 90/100 = 25/100 x 15/100 x 8/100 x B => 10 x 20 x 90 = 15 x 2 x B => B = 6000

Q: The ratio between present ages of Renuka and Sony is 5 : 4 . 4 years ago, Sony's age was 24 years. What will be Renuka's age after 5 years ? 1411 0

  • 1
    25
    Correct
    Wrong
  • 2
    30
    Correct
    Wrong
  • 3
    35
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 4. "40"
Explanation :

Answer: D) 40 Explanation: Present age of Sony = 24 + 4 = 28 years After 5 years Renuka's age = 7×5 + 5 = 40 years

Q: The solution of 3(2u + v) = 7 uv and 3(u + 3v) = 11 uv is _____ 1411 0

  • 1
    u = 1, v = 0
    Correct
    Wrong
  • 2
    u = 1, v = 3/2
    Correct
    Wrong
  • 3
    u = 0, v = 3/4
    Correct
    Wrong
  • 4
    u = 0, v = 1
    Correct
    Wrong
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Answer : 2. "u = 1, v = 3/2"
Explanation :

Answer: B) u = 1, v = 3/2 Explanation: Using Trial and error method, From the options  u = 1, v = 3/2 satisfies both the equations.

Q: The age of Manisha and Sudeshna are in the ratio of 5 : 6 respectively. After 8 years the ratio  of their ages will be 7 : 8. What is the difference of their ages ? 1411 0

  • 1
    6
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    8
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 2. "4"
Explanation :

Answer: B) 4 Explanation: Let the age of Manisha and Sudeshna is 5x and 6x years respectively. According to the given data, 5x+8/6x+8 = 7/8 42x + 56 = 40x + 64 x = 4 Required Difference of their ages = (6 × 4)  –  (5 × 4) = 4 years.

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