GATE Practice Question and Answer

Q: What is black when you buy it, red when you use it, and gray when you throw it away? 2013 0

  • 1
    Shoe
    Correct
    Wrong
  • 2
    Charcoal
    Correct
    Wrong
  • 3
    Belt
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 2. "Charcoal"
Explanation :

Answer: B) Charcoal Explanation: It is Charcoal which is black when we buy it or when not being used. It gets red in appearance when put in use means to say when burning. And eventually when it's been consumed by fire or after getting burned out or used up, changes into ashes which look grey in color.

Q: Dry ice is an example of which process 2013 0

  • 1
    Condensation
    Correct
    Wrong
  • 2
    Evaporation
    Correct
    Wrong
  • 3
    Sublimation
    Correct
    Wrong
  • 4
    Freezing
    Correct
    Wrong
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Answer : 3. "Sublimation"
Explanation :

Answer: C) Sublimation Explanation: Sublimation is a process when a solid changes directly into gas instead changing into liquid first. Dry ice is an example of Sublimation process because it doesn't change into liquid CO2 and directly change into gaseous CO2 when heated.   Hence, Dry ice is an example of Sublimation process.

Q: The ratio of speeds of a car, a train and a bus is 5:9:4. The average speed of the car, the bus and the train is 72 km/hr together. What is the average speed of the car and the train together ? 2013 0

  • 1
    84 km/hr
    Correct
    Wrong
  • 2
    96 km/hr
    Correct
    Wrong
  • 3
    72 km/hr
    Correct
    Wrong
  • 4
    60 km/hr
    Correct
    Wrong
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Answer : 1. "84 km/hr"
Explanation :

Answer: A) 84 km/hr Explanation: Let the speeds of the car, train and bus be 5x, 9x and 4x km/hr respectively.Average speed = 5x + 9x + 4x/3 = 18x /3 = 6x km/hr.Also, 6x = 72 => x = 12 km/hrTherefore, the average speed of the car and train together is = 5x+9x2= 7x = 7 x 12 = 84 km/hr.

Q: Choose the missing terms in the given series from the four alternatives given below. C, E, G, J, M, Q, ? 2012 0

  • 1
    T
    Correct
    Wrong
  • 2
    U
    Correct
    Wrong
  • 3
    P
    Correct
    Wrong
  • 4
    V
    Correct
    Wrong
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Answer : 2. "U"
Explanation :

Answer: B) U Explanation: The letters move 2, 2, 3, 3, 4, 4, ... steps forward.

Q: The oxidation number of Cr in K2Cr2O7 is 2011 0

  • 1
    +6
    Correct
    Wrong
  • 2
    -5
    Correct
    Wrong
  • 3
    +3
    Correct
    Wrong
  • 4
    -4
    Correct
    Wrong
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Answer : 1. "+6"
Explanation :

Answer: A) +6 Explanation: We will rewrite the formula as an equation. 2K + 2Cr + 7O = 0 The zero comes from there being no overall charge on the compound. Each oxidation number is represented by the element's symbol. Since this compound is not a peroxide or superoxide, the oxidation value for O is -2 K being in group 1 has a +1 charge and therefore has an oxidation number of K is +1 Now, by putting known values in we have: 2(+1) + 2(Cr) + 7(-2) = 0 2 + 2Cr -14 = 0 2Cr = +12 Cr = +6.

Q: There are 5 consecutive odd numbers. If the difference between square of the average of first two odd number and the of the average last two odd numbers is 396, what is the smallest odd number? 2011 0

  • 1
    29
    Correct
    Wrong
  • 2
    27
    Correct
    Wrong
  • 3
    31
    Correct
    Wrong
  • 4
    33
    Correct
    Wrong
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Answer : 1. "29"
Explanation :

Answer: A) 29 Explanation: Let the five consecutive odd numbers be x-4, x-2, x, x+2, x+4 According to the question, Difference between square of the average of first two odd number and the of the average last two odd numbers is 396 i.e, x+3 and x-3 ⇒x + 32 - x - 32 = 396⇒ x2 + 9 + 6x - x2 + 6x - 9 = 396⇒ 12x = 396⇒ x = 33   Hence, the smallest odd number is 33 - 4 = 29.

Q: Mirage is an example of 2011 0

  • 1
    Reflection of light & Refraction of light
    Correct
    Wrong
  • 2
    Dispersion of light
    Correct
    Wrong
  • 3
    Total Internal Reflection
    Correct
    Wrong
  • 4
    Refraction of light & Total Internal Reflection of light
    Correct
    Wrong
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Answer : 4. "Refraction of light & Total Internal Reflection of light"
Explanation :

Answer: D) Refraction of light & Total Internal Reflection of light Explanation: A Mirage is a naturally occurring optical phenomenon in which light rays bend to produce a displaced image of distant objects or the sky. It is caused due to Total internal Reflection. It is an optical illusion observed in deserts or hot summer days due to which a person sees a pond of water some distance ahead of him in which the surrounding objects appear inverted. How Mirage Forms:: 1. The temperature of other layers of atmosphere goes on decreasing as we go up.2. Therefore density and refractive index of air changes as one goes up.3. Thus a ray of light,gets refracted more and more away from the normal.4. At a particular angle when a ray of light exceeds critical angle, total internal reflection takes place and ray of light gets reflected in the same medium.5. when the reflected ray reaches our eye, it appears as coming from tree or sky .6. Hence the inverted image of tree creates an impression from a pond of water.

Q: A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the ball drawn is red. 2010 0

  • 1
    23/42
    Correct
    Wrong
  • 2
    19/42
    Correct
    Wrong
  • 3
    7/32
    Correct
    Wrong
  • 4
    16/39
    Correct
    Wrong
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Answer : 2. "19/42"
Explanation :

Answer: B) 19/42 Explanation: A red ball can be drawn in two mutually exclusive ways  (i) Selecting bag I and then drawing a red ball from it.   (ii) Selecting bag II and then drawing a red ball from it.   Let E1, E2 and A denote the events defined as follows: E1 = selecting bag I, E2 = selecting bag II A = drawing a red ball Since one of the two bags is selected randomly, therefore  P(E1) = 1/2  and  P(E2) = 1/2 Now, PAE1 = Probability of drawing a red ball when the first bag has been selected = 4/7   PAE2  = Probability of drawing a red ball when the second bag has been selected = 2/6  Using the law of total probability, we have   P(red ball) = P(A) = PE1×PAE1+PE2×PAE2                              = 12×47+12×26=1942

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