GATE Practice Question and Answer

Q: On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ? 1724 0

  • 1
    Rs. 5422
    Correct
    Wrong
  • 2
    Rs. 10,500
    Correct
    Wrong
  • 3
    Rs. 12,800
    Correct
    Wrong
  • 4
    Rs. 15,000
    Correct
    Wrong
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Answer : 2. "Rs. 10,500"
Explanation :

Answer: B) Rs. 10,500 Explanation: The ratio of distribution should be: 21 x 15 : 15 x 35 : 35 x 21= 315 : 525 : 735 = 3 : 5 : 7The smallest share will be of worth: 3/15 x 52,500 = Rs. 10,500

Q: The average of the ages of Sushanth, Krish and Rishi is 43 years and the average of the ages of Sushanth, Rishi and Rohit is 49 years. If Rohit is 54 years old, what is Krish's age ? 1724 0

  • 1
    34 years
    Correct
    Wrong
  • 2
    26 years
    Correct
    Wrong
  • 3
    24 years
    Correct
    Wrong
  • 4
    36 years
    Correct
    Wrong
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Answer : 4. "36 years"
Explanation :

Answer: D) 36 years Explanation: Let present ages of Sushanth = w, Krish = x, Rishi = y and Rohit = z , thenw + x + y = 43 x 3 = 129 ---(i) andw + y + z = 49 x 3 = 147 ---(ii)Subtracting (i) from (ii), (w+y+z) - (w+x+y) = 147 - 129 , z - x = 18 ---(iii)Given Rohit's age=z=54, so from (iii), x = 54 - 18 = 36.Therefore, Krish age is 36 years.

Q: The purpose of choke in tube light is 1724 0

  • 1
    Induce high voltage
    Correct
    Wrong
  • 2
    Induce low resistance
    Correct
    Wrong
  • 3
    Induce high resistance
    Correct
    Wrong
  • 4
    Induce low voltage
    Correct
    Wrong
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Answer : 1. "Induce high voltage"
Explanation :

Answer: A) Induce high voltage Explanation: When the switch is ON, in a tube light choke is nothing but the coil/ballast ( inductor) which is used to induce the high voltage across it. as we know that inductor has property to induce high voltage for the brief period of time, this high voltage is required to ionize the gases in the starter. Then gas inside the starter gets ionized due to this full voltage and heats the bimetallic strip that is caused to be bent to connect to the fixed contact. Current starts flowing through the starter. Although the ionization potential of the neon is the little bit more than that of the argon but still due to small electrode gap high voltage gradient is appeared in the neon bulb and hence glow discharge is started first in a starter. As voltage gets reduced due to the current causes a voltage drop across the inductor, the strip cools and breaks away from the fixed contact. At that moment a large L di/dt voltage surge comes across the inductor at the time of breaking. This high valued surge comes across the tube light electrodes and strikes penning mixture (mixture argon gas and mercury vapor). Gas discharge process continues and current gets the path to flow through the tube light gas only due to low resistance as compared to the resistance of starter.

Q: What will be added to the unit digits of the number 86236 so that number will be divisible by 9  ? 1723 0

  • 1
    1
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 2. "2"
Explanation :

Answer: B) 2 Explanation: A number is divisible by 9 only if the sum of the digits of the number is divisible by 9. Here 86236 = 8 + 6 + 2 + 3 + 6 = 25 We must add 2 to 25 to become 27 which is divisible by 9.

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Answer : 4. "Only b follows"
Explanation :

Answer: D) Only b follows Explanation: Valuable suggestion from the retired professors will be helpful for restructuring of an organisation. Hence, management should involve such experienced people. Seeking permission from the employees is not the right course of action.

Q: If the HCF of 210 and 55 is expressible in the form of 210 x 5 + 55P, then value of P = ? 1722 0

  • 1
    -23
    Correct
    Wrong
  • 2
    27
    Correct
    Wrong
  • 3
    16
    Correct
    Wrong
  • 4
    -19
    Correct
    Wrong
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Answer : 4. "-19"
Explanation :

Answer: D) -19 Explanation: HCF of 210 and 55 is 5 Now, 210x5 + 55P = 5 => 1050 + 55P = 5 => 55P = -1045 => P = -1045/55 => P = -19.

Q: Find the compound interest on Rs. 6,500 for 4 years if the rate of interest is 10% p.a. for the first 2 years and 20% per annum for the next 2 years? 1722 0

  • 1
    Rs. 3845
    Correct
    Wrong
  • 2
    Rs. 4826
    Correct
    Wrong
  • 3
    Rs. 5142
    Correct
    Wrong
  • 4
    Rs. 4415
    Correct
    Wrong
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Answer : 2. "Rs. 4826"
Explanation :

Answer: B) Rs. 4826 Explanation: We know the formula for calculating The compound interest C = P1 + r100n - 1 where P = amount, r = rate of interest, n = time Here P = 5000, r1 = 10, r2 = 20 Then C = 65001 + 101002 x 1 + 201002 - 1= 6500 x 18562500= 65 x 185625 C = Rs. 4826.

Q: What is the systematic name of Mg(NO3)2? 1721 0

  • 1
    Manganese nitrite
    Correct
    Wrong
  • 2
    Magnesium nitrite
    Correct
    Wrong
  • 3
    Magnesium nitrate
    Correct
    Wrong
  • 4
    Manganese nitrate
    Correct
    Wrong
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Answer : 3. "Magnesium nitrate"
Explanation :

Answer: C) Magnesium nitrate Explanation: Mg(NO3)2 is Magnesium nitrate.   In the case of Mg(NO3)2, the metal in the compound is magnesium (Mg), and the non-metal here is called the nitrate ion (NO3). This makes the name of the compound simply magnesium nitrate.

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