IIT JEE Practice Question and Answer

Q: Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ? 1505 0

  • 1
    [1, 32]
    Correct
    Wrong
  • 2
    (0, 1)
    Correct
    Wrong
  • 3
    [1, 1/2]
    Correct
    Wrong
  • 4
    (1, 1/2]
    Correct
    Wrong
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Answer : 3. "[1, 1/2]"
Explanation :

Answer: C) [1, 1/2] Explanation: Probability of atleast one failure= 1 - no failure > 31/32= 1 - P5 > 31/32=  P5<1/32= p < 1/2Also p > 0Hence p lies in [0,1/2].

Q: Who Discovered The Nucleus of a Cell? 1505 0

  • 1
    Otto Hahn
    Correct
    Wrong
  • 2
    John Dalton
    Correct
    Wrong
  • 3
    Robert Brown
    Correct
    Wrong
  • 4
    Marie Curie
    Correct
    Wrong
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Answer : 3. "Robert Brown"
Explanation :

Answer: C) Robert Brown Explanation: Robert Brown, Scottish botanist, Discovered The Nucleus of a Cell in 1831, London. When Brown was studying orchids under microscope when he observed an opaque area, which he called the "Areola" or "Nucleus", in the cells of the flower's outer layer. The nucleus was also described by Franz Bauer in 1804 but in detail Robert Brown made it in 1831.

Q: Each hemoglobin molecule can transport two molecules of oxygen. 1505 0

  • 1
    TRUE
    Correct
    Wrong
  • 2
    FALSE
    Correct
    Wrong
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Answer : 2. "FALSE"
Explanation :

Answer: B) FALSE Explanation: FALSE. Each hemoglobin molecule can transport four molecules of oxygen.   Hemoglobin, or Hb, is a protein molecule found in red blood cells (erythrocytes) made of four subunits: two alpha subunits and two beta subunits. Heme the component of hemoglobin responsible for binding oxygen consists of an iron ion that binds oxygen and a porphyrin ring that binds the globin molecules, one molecule binds one molecule of oxygen and can bind up to four oxygen molecules.

Q: Find the principal if the interest compounded at the rate of 10% per annum for two years is Rs. 420 ? 1504 0

  • 1
    Rs. 2000
    Correct
    Wrong
  • 2
    Rs. 2100
    Correct
    Wrong
  • 3
    Rs. 1900
    Correct
    Wrong
  • 4
    Rs. 2150
    Correct
    Wrong
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Answer : 1. "Rs. 2000"
Explanation :

Answer: A) Rs. 2000 Explanation: Given, Compound rate, R = 10% per annumTime = 2 yearsC.I = Rs. 420Let P be the required principal.A = (P+C.I)Amount, A = P1 + r100n (P+C.I) = P1 + 101002 (P+420) = P[11/10][11/10] P-1.21P = -420 0.21P = 420 Hence, P = 420/0.21 = Rs. 2000

Q: A goods truck travels from a place at a certain time and at fixed speed. After 6hrs another truck leaves the same place and move in same direction of uniform speed of 90kmph. The truck catches up the goods truck in 4hrs. Find the speed of the goods truck ? 1504 0

  • 1
    36 kmph
    Correct
    Wrong
  • 2
    32 kmph
    Correct
    Wrong
  • 3
    28 kmph
    Correct
    Wrong
  • 4
    34 kmph
    Correct
    Wrong
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Answer : 1. "36 kmph"
Explanation :

Answer: A) 36 kmph Explanation: Let the speed of goods truck be 'p' kmphDistance covered by goods truck in 10hrs (4+6) = Distance covered by other truck in 4 hrs. 10p = 4 x 90p = 36kmph.Therefore, the speed of the goods truck is p = 36 kmph.

Q: The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ? 1504 0

  • 1
    15 cm
    Correct
    Wrong
  • 2
    18 cm
    Correct
    Wrong
  • 3
    34 cm
    Correct
    Wrong
  • 4
    26 cm
    Correct
    Wrong
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Answer : 3. "34 cm"
Explanation :

Answer: C) 34 cm Explanation: Let the side of the square be 's' cm   length of rectangle = (s+5) cm   breadth of rectangle = (s-3)cm   (s+5) (s-3) =    s2 - 5s - 3s - 15 = s2    2s = 15   Perimeter of rectangle = 2(L+B) = 2(s+5 + s–3) = 2(2s + 2)   = 2(15 + 2) = 34 cm

Q: Why is burning coal a major source of pollution? 1504 0

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Answer :
Explanation :

Coal is chemically complex fuel. Whenever it is burned, gases are given off and particles of ash, called "fly ash," are released. Release of sulfur from burning into the air. The sulfur in coal combines with oxygen to form sulfur dioxide, which can be a major source of air pollution if emitted in large enough quantities. This stuff comes back as acid rain when it attaches itself to a raindrop.    Today, many of the effects of coal burning have been reduced significantly or eliminated. This is super-nasty and is only stopped by buying low-sulfur coal from Montana or Wyoming. The eastern power plants have to pay to move the coal from out west and this increases the price of power production.

Q: If in the following set of numbers, the first and the third digits are interchanged in each number, which number will be second from the end if arranged in ascending order after interchanging the digits ? 585  546  514  404  206  369 1503 0

  • 1
    404
    Correct
    Wrong
  • 2
    585
    Correct
    Wrong
  • 3
    415
    Correct
    Wrong
  • 4
    602
    Correct
    Wrong
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Answer : 3. "415"
Explanation :

Answer: C) 415 Explanation: Given numbers are 585 546 514 404 206 369Then interchanging the 1st and 3rd digits of the given numbers, we get585 645 415 404 602 963Now, arranging them in ascending order963 645 602 585 415 404Then the last second number is 415.

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