GATE Practice Question and Answer

Q: Which of the following is an Autotroph? 1808 0

  • 1
    Fish
    Correct
    Wrong
  • 2
    Algae
    Correct
    Wrong
  • 3
    Butterfly
    Correct
    Wrong
  • 4
    Mushroom
    Correct
    Wrong
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Answer : 2. "Algae"
Explanation :

Answer: B) Algae Explanation: Here from the above options, Algae is an Autotroph. Autotrophs :  An Autotroph is also called as Producer, is an organism that produces complex organic compounds from simple substances present in its surroundings, generally using energy from light or inorganic chemical reactions.

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Answer : 3. "80%"
Explanation :

Answer: C) 80% Explanation: circumference of A = 2πr = 8 => so r = 4πvolume = π×4π2×10 = 160πcircumference of B = 2πr   = 10 => so r = 5πvolume = π×5π2×8 =  200πso ratio of capacities = 160/200 = 0.8 so capacity of A will be 80% of the capacity of B.

Q: The sum of the digits of a two-digits number is 10,while when the digits are reversed, the number decreases by 54. Find the changed number ? 1808 0

  • 1
    28
    Correct
    Wrong
  • 2
    19
    Correct
    Wrong
  • 3
    37
    Correct
    Wrong
  • 4
    46
    Correct
    Wrong
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Answer : 1. "28"
Explanation :

Answer: A) 28 Explanation: Let the original number is 82 i.e 8 + 2 = 10 and when the digits are reversed i.e 28The difference is 82 - 28 = 54 i.e, the number is decreased by 54.

Q: How long will it take for two pipes A and B to fill an empty cistern if they worked alternately for an hour each ? A. Working alone, Pipe A can fill the cistern in 40 hoursB. Pipe B is one third as efficient as Pipe A 1807 0

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    Only A is sufficient
    Correct
    Wrong
  • 2
    Only B is sufficient
    Correct
    Wrong
  • 3
    Both (A) and (B) are sufficient
    Correct
    Wrong
  • 4
    A) and (B) are sufficient D)
    Correct
    Wrong
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Answer : 3. "Both (A) and (B) are sufficient"
Explanation :

Answer: C) Both (A) and (B) are sufficient Explanation: From statement A, we know that Pipe A can fill the tank in 40 hours. However, this information is not sufficient as we do not have the data for Pipe B. Hence, statement A alone cannot answer the given question.From statement B, we know that Pipe B is one third as efficient as pipe A. However, we do not know the rate at which Pipe A fills the tank. Hence, we will not be able to find the rate at which Pipe B fills the cistern. Therefore, statement B alone is not sufficient to answer the question.Now, if we combine the two statements, we know that Pipe A take 40 hours to fill the cistern.Pipe B takes 120 hours to fill the cistern.If they worked alternately, then either Pipe A could have started the cycle or Pipe B could have started the cycle.If Pipe A started the sequence of filling alternately, then at the end of two hours, the two pipes together would have filled 1/40 + 1/120 = 1/30  th of the tank in an hour. Or the cistern will fill in 30 hours.If Pipe B started the sequence, then at the end of 2 hours, the two pipes together would have filled 1/120 + 1/40 = 1/30 th of the tank in an hour. Or the cistern will fill in 30 hours.As the answer obtained irrespective of which pipe started the sequence is the same, the correct answer is (3) - i.e., both the statement are sufficient to answer the question.

Q: There are 15 lines in plane. How many intersections (Maximum) can be made ? 1807 0

  • 1
    55
    Correct
    Wrong
  • 2
    105
    Correct
    Wrong
  • 3
    215
    Correct
    Wrong
  • 4
    148
    Correct
    Wrong
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Answer : 2. "105"
Explanation :

Answer: B) 105 Explanation: First line will cut all other 14, similarly second will cut 13, and so onTotal = 14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 105.

Q: Math Challenge 1807 0

  • 1
    7
    Correct
    Wrong
  • 2
    44
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    33
    Correct
    Wrong
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Answer : 3. "4"
Explanation :

Answer: C) 4 Explanation: Let the required number be 'N' given that its quarter i.e; N/4 exceeds its double i.e, 2N by 7 => N/4 + 7 = 2N => N + 28 = 8N 7N = 28 N = 4.

Q: In a plant cell, DNA may be found in 1807 0

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    only in the nucleus and mitochondria.
    Correct
    Wrong
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    only in the nucleus and chloroplasts
    Correct
    Wrong
  • 3
    in the nucleus, mitochondria, and chloroplasts.
    Correct
    Wrong
  • 4
    only in the nucleus.
    Correct
    Wrong
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Answer : 3. "in the nucleus, mitochondria, and chloroplasts."
Explanation :

Answer: C) in the nucleus, mitochondria, and chloroplasts. Explanation: All of the genetic information in a cell was initially thought to be confined to the DNA in the chromosomes of the cell nucleus. It is now known that small circular chromosomes, called extranuclear, or cytoplasmic, DNA, are located in two types of organelles found in the cytoplasm of the cell. These organelles are the mitochondria in animal and plant cells and the chloroplasts in plant cells. Chloroplast DNA (cpDNA) contains genes that are involved with aspects of photosynthesis and with components of the special protein-synthesizing apparatus that is active within the organelle. Mitochondrial DNA (mtDNA) contains some of the genes that participate in the conversion of the energy of chemical bonds into the energy currency of the cell—a chemical called adenosine triphosphate (ATP)—as well as genes for mitochondrial protein synthesis.

Q: The average age of 7 boys is increased by 1 year when one of tem whose age is replaced by a girl. What is the age of the girl ? 1806 0

  • 1
    33 yrs
    Correct
    Wrong
  • 2
    27 yrs
    Correct
    Wrong
  • 3
    21 yrs
    Correct
    Wrong
  • 4
    29 yrs
    Correct
    Wrong
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Answer : 4. "29 yrs"
Explanation :

Answer: D) 29 yrs Explanation: Let the avg age of 7 boys be 'p' yearsLet the age of the girl be 'q' yearsFrom given data,The age of 7 boys = 7p yearsNow the new average = (p + 1) when 22 yrs is replaced by qNow the age of all 7 will become = 7(p + 1) yrsHence, 7p - 22 + q = 7(p + 1) yrs7p - 22 + q = 7p + 7q = 22 + 7 = 29 Therefore, the age of girl = q = 29 years.

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