GATE Practice Question and Answer

Q: Mirage is an example of 2237 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: K and L start a business jointly. L invests Rs.16000 for 8 months and L remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B  ? 2237 0

  • 1
    Rs. 9040
    Correct
    Wrong
  • 2
    Rs. 10,400
    Correct
    Wrong
  • 3
    Rs. 12,800
    Correct
    Wrong
  • 4
    Rs. 6350
    Correct
    Wrong
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Answer : 3. "Rs. 12,800"
Explanation :

Answer: C) Rs. 12,800 Explanation: 16x8 : Px4 = 5:2 P = 12.8 => Rs.12,800

Q: Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank ? 2236 0

  • 1
    15 min 20 sec.
    Correct
    Wrong
  • 2
    16 min 40 sec.
    Correct
    Wrong
  • 3
    13 min 10 sec.
    Correct
    Wrong
  • 4
    14 min 40 sec.
    Correct
    Wrong
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Answer : 4. "14 min 40 sec."
Explanation :

Answer: D) 14 min 40 sec. Explanation: Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15   Remaining part = 1 - 7/15 = 8/15   Part filled by B in 1 minute = 1/20   1/20 : 8/15 :: 1 : k   k = (8/15 )x 1 x 20 = 10( 2/3) min = 10 min 40 sec.   The tank will be full in (4 min. + 10 min. 40 sec) = 14 min 40 sec.

Q: The oxidation number of Cr in K2Cr2O7 is 2236 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: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is ? 2236 0

  • 1
    42 sec
    Correct
    Wrong
  • 2
    44 sec
    Correct
    Wrong
  • 3
    46 sec
    Correct
    Wrong
  • 4
    48 sec
    Correct
    Wrong
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Answer : 4. "48 sec"
Explanation :

Answer: D) 48 sec Explanation: Relative speed = 60 + 90 = 150 km/hr. = 150 x 5/18 = 125/3 m/sec. Distance covered = 1.10 + 0.9 = 2 km = 2000 m. Required time = 2000 x 3/125 = 48 sec.

Q: Dry ice is an example of which process 2235 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: 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? 2234 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: Twelve children take sixteen days to complete a work which can be completed by 8 adults in 12 days. After working for 3 days, sixteen adults left and six adults and four children joined them. How many days will they take to complete the remaining work ? 2234 0

  • 1
    3 days
    Correct
    Wrong
  • 2
    2 days
    Correct
    Wrong
  • 3
    6 days
    Correct
    Wrong
  • 4
    12 days
    Correct
    Wrong
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Answer : 3. "6 days"
Explanation :

Answer: C) 6 days Explanation: From the given data, 12 children 16 days work,One child’s one day work = 1/192. 8 adults 12 days work,One adult’s one day’s work = 1/96. Work done in 3 days = ((1/96) x 16 x 3) = 1/2 Remaining work = 1 – 1/2 = 1/2 (6 adults+ 4 children)’s 1 day’s work = 6/96 + 4/192 = 1/12 1/12 work is done by them in 1 day. 1/2 work is done by them in 12 x (1/2) = 6 days.

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