GATE Practice Question and Answer

Q: Which of the following is not a function of cytoskeleton in a cell ? 2391 0

  • 1
    Maintenance of cell shape and structure
    Correct
    Wrong
  • 2
    Intracellular transport
    Correct
    Wrong
  • 3
    Cell motility
    Correct
    Wrong
  • 4
    Support of the organelle
    Correct
    Wrong
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Answer : 2. "Intracellular transport"
Explanation :

Answer: B) Intracellular transport Explanation: A cytoskeleton is the frame that gives shape to a cell. And also it offers support, and facilitates movement through three main components: microfilaments, intermediate filaments, and microtubules.   The cytoskeleton helps the cell move in its environment and controls the movement of all of the cell's interior workings.

Q: Which expression is equivalent to i233? 2390 0

  • 1
    i
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    -i
    Correct
    Wrong
  • 4
    -1
    Correct
    Wrong
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Answer : 1. "i"
Explanation :

Answer: A) i Explanation: We know that, i2 = -1i3 = i2 x i = -1 x i = -ii4 = i2 x i2 = -1 x -1 = 1Hence, i233  =i4 x 58 + 1 = i232 x i1 = 1 x i = i

Q: A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ? 2387 0

  • 1
    8 m/h
    Correct
    Wrong
  • 2
    5 m/h
    Correct
    Wrong
  • 3
    7 m/h
    Correct
    Wrong
  • 4
    6 m/h
    Correct
    Wrong
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Answer : 2. "5 m/h"
Explanation :

Answer: B) 5 m/h Explanation: As the distance travelled is constant, the time taken is inversely proportional to speed. Let 'u' be the speed of the current and 'v' be the speed of the boat. Speed of the boat downstream = v + u & upstream = v - u => v+u/v-u = 30/20 => v/u = 5 => v = 5u => v + u = 6u = 10/20/60 miles/hr => 6u = 30 m/h => u = 5 m/h

Q: The capacity of a tank is 2400 m3.  A pump can be used both for filling and emptying the tank.  The emptying capacity of the pump is 10 m3/minute higher than its filling capacity. And also, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump. 2386 0

  • 1
    46 cub.m/min
    Correct
    Wrong
  • 2
    44 cub.m/min
    Correct
    Wrong
  • 3
    48 cub.m/min
    Correct
    Wrong
  • 4
    50 cub.m/min
    Correct
    Wrong
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Answer : 4. "50 cub.m/min"
Explanation :

Answer: D) 50 cub.m/min Explanation: Let filling capacity of the pump be 'F' m3/min Then, the filling capacity of the pump will be (F + 10) m3/min From the given data, 2400F - 2400F+10= 8⇒ 2400 F+10-FF(F+10) =8⇒ F2 + 10F - 3000 = 0⇒ F = 50 m3/min

Q: What is the common ratio of the following geometric sequence? 4, 2, 1, 0.5, 0.25, 0.125,... 2382 0

  • 1
    0.5
    Correct
    Wrong
  • 2
    -1
    Correct
    Wrong
  • 3
    1.5
    Correct
    Wrong
  • 4
    -0.5
    Correct
    Wrong
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Answer : 1. "0.5"
Explanation :

Answer: A) 0.5 Explanation: In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.   Herein the given sequence, 4, 2, 1, 0.5, 0.25, 0.125,... Common Ratio r = 2/4 = 1/2 = 0.5/1 = 0.25/0.5 = 0.125/0.25 == 0.5.

Q: The third proportional to 9 and 12 is ? 2379 0

  • 1
    14
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    18
    Correct
    Wrong
  • 4
    20
    Correct
    Wrong
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Answer : 2. "16"
Explanation :

Answer: B) 16 Explanation: Let the third proportion to 9 & 12 be 'x'. => 9:12 = 12 :p => p = 12x12/9 = 16.

Q: Choose the Antonym of the following word 'Autonomy' 2378 0

  • 1
    Antipathy
    Correct
    Wrong
  • 2
    Dependence
    Correct
    Wrong
  • 3
    Antruism
    Correct
    Wrong
  • 4
    Animation
    Correct
    Wrong
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Answer : 2. "Dependence"
Explanation :

Answer: B) Dependence Explanation: 'Autonomy' means personal independence. Hence, the word 'dependence' is farthest in meaning to the given word 'Autonomy'.

Q: Sonika invested an amount of Rs.5800 for 2 years. At what rate of compound interest will she get an amount of Rs.594.50 at the end of 2 years ? 2378 0

  • 1
    6.5%
    Correct
    Wrong
  • 2
    6%
    Correct
    Wrong
  • 3
    5%
    Correct
    Wrong
  • 4
    4.5%
    Correct
    Wrong
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Answer : 3. "5%"
Explanation :

Answer: C) 5% Explanation: C.I = P1+r100t-1   594.5 = 58001+r1002-1  594.55800+1=1+r1002   r100=1.05-1=0.05=> r = 5 % .

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