GATE Practice Question and Answer
8Q: 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 05b5cc761e4d2b4197774fd3f
5b5cc761e4d2b4197774fd3f- 1Rs. 5422false
- 2Rs. 10,500true
- 3Rs. 12,800false
- 4Rs. 15,000false
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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 05b5cc73de4d2b4197774f948
5b5cc73de4d2b4197774f948- 134 yearsfalse
- 226 yearsfalse
- 324 yearsfalse
- 436 yearstrue
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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 05b5cc6a6e4d2b4197774cd28
5b5cc6a6e4d2b4197774cd28- 1Induce high voltagetrue
- 2Induce low resistancefalse
- 3Induce high resistancefalse
- 4Induce low voltagefalse
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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 05b5cc6cae4d2b4197774dfcf
5b5cc6cae4d2b4197774dfcf- 11false
- 22true
- 33false
- 40false
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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.
Q: Statement: If the retired professors of the same institutes are also invited to deliberate on restructuring of the organization, their contribution may be beneficial to the institute. Course of action:a) Management may seek option of the employees before calling retired professors.b) Management should involve experienced people for the systematic restructuring of the organization. 1723 05b5cc720e4d2b4197774f5e5
5b5cc720e4d2b4197774f5e5- 1Only a followsfalse
- 2Neither a nor b followsfalse
- 3Both a & b followsfalse
- 4Only b followstrue
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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 05b5cc6c0e4d2b4197774dacb
5b5cc6c0e4d2b4197774dacb- 1-23false
- 227false
- 316false
- 4-19true
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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 05b5cc6abe4d2b4197774cfe0
5b5cc6abe4d2b4197774cfe0- 1Rs. 3845false
- 2Rs. 4826true
- 3Rs. 5142false
- 4Rs. 4415false
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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 05b5cc6a2e4d2b4197774cb29
5b5cc6a2e4d2b4197774cb29- 1Manganese nitritefalse
- 2Magnesium nitritefalse
- 3Magnesium nitratetrue
- 4Manganese nitratefalse
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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.

