GATE Practice Question and Answer

Q: What part of the atom has a positive charge? 1387 0

  • 1
    Neutron
    Correct
    Wrong
  • 2
    Proton
    Correct
    Wrong
  • 3
    Electron
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 2. "Proton"
Explanation :

Answer: B) Proton Explanation: Protons carry a positive electrical charge, electrons carry a negative electrical charge and neutrons carry no electrical charge at all. The protons and neutrons cluster together in the central part of the atom, called the nucleus, and the electrons 'orbit' the nucleus.

Q: One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn find the probability the card drawn is red. 1386 0

  • 1
    2/3
    Correct
    Wrong
  • 2
    1/2
    Correct
    Wrong
  • 3
    1/52
    Correct
    Wrong
  • 4
    13/51
    Correct
    Wrong
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Answer : 2. "1/2"
Explanation :

Answer: B) 1/2 Explanation: We know that: When one card is drawn from a pack of 52 cards The numbers of possible outcomes n(s) = 52 We know that there are 26 red cards in the pack of 52 cards⇒ The numbers of favorable outcomes n(E) = 26 Probability of occurrence of an event: P(E)=Number of favorable outcomes/Numeber of possible outcomes=n(E)/n(S) ∴ required probability = 26/52 = 1/2.

Q: Train K crosses a stationary Train L in 50 seconds and a pole in 20 seconds with the same speed. The length of the Train K is 240 meters. What is the length of stationary Train L ? 1386 0

  • 1
    60 mts
    Correct
    Wrong
  • 2
    120 mts
    Correct
    Wrong
  • 3
    240 mts
    Correct
    Wrong
  • 4
    360 mts
    Correct
    Wrong
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Answer : 4. "360 mts"
Explanation :

Answer: D) 360 mts Explanation: Speed of the Train K is given by s = d/t = 240/20 = 12 m/sDistance covered by Train K in 50 seconds = 12 x 50 = 600 mts.But it crosses Train L in 50 seconds Therefore, the length of the Train L is = 600 - 240 = 360 mts.

Q: Name the two Indian companies that have been named in the list of world's most ethical companies by American think tank Ethisphere Institute. 1385 0

  • 1
    Dabur and Tata
    Correct
    Wrong
  • 2
    Mahindra and Tata
    Correct
    Wrong
  • 3
    Patanjali and Dabur
    Correct
    Wrong
  • 4
    Tata Steel and Wipro
    Correct
    Wrong
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Answer : 4. "Tata Steel and Wipro"
Explanation :

Answer: D) Tata Steel and Wipro Explanation: Two Indian companies, Tata SteelBSE and Wipro have been named in the list of world’s most ethical companies by American think tank Ethisphere Institute. Ethisphere honors those companies who recognize their role in society to influence and drive positive change in the business community and organizations around the world. In 2017, 124 honorees were spanning five continents, 19 countries, and 52 industry sectors. Wipro is one of the two information technology companies named in the list, the other being Xerox Corporation.

Q: Two parallel chords on the same side of the centre of a circle are 5 cm apart. If the chords are 20 and 28 cm long, what is the radius of the circle? 1385 0

  • 1
    14.69 cm
    Correct
    Wrong
  • 2
    15.69 cm
    Correct
    Wrong
  • 3
    18.65 cm
    Correct
    Wrong
  • 4
    16.42 cm
    Correct
    Wrong
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Answer : 2. "15.69 cm"
Explanation :

Answer: B) 15.69 cm Explanation: Draw the two chords as shown in the figure. Let O be the center of the circle. Draw OC perpendicular to both chords. That divides the two chords in half.So CD = 10 and AB = 14. Draw radii OA and OD, both equal to radius r.We are given that BC = 5, the distance between the two chords. LetOB = x. We use the Pythagorean theorem on right triangle ABO AO² = AB² + OB² r² = 14² + x² We use the Pythagorean theorem on right triangle DCO DO² = CD² + OC² We see that OC = OB+BC = x+5, so r² = 10² + (x+5)² So we have a system of two equations: r² = 14² + x² r² = 10² + (x+5)² Since both left sides equal r², set the right sidesequal to each other. 14² + x² = 10² + (x+5)² 196 + x² = 100 + x² + 10x + 25 196 = 125 + 10x 71 = 10x 7.1 = x r² = 14² + x² r² = 196 + (7.1)² r² = 196 + 50.41 r² = 246.41 r = √246.41 r = 15.69745202 cm

Q: 3 : 12 :: 5 : ? 1385 0

  • 1
    17
    Correct
    Wrong
  • 2
    30
    Correct
    Wrong
  • 3
    26
    Correct
    Wrong
  • 4
    32
    Correct
    Wrong
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Answer : 2. "30"
Explanation :

Answer: B) 30 Explanation: 332 + 3 = 12552 + 5 = 30

Q: Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C. 1384 0

  • 1
    1:9
    Correct
    Wrong
  • 2
    9:1
    Correct
    Wrong
  • 3
    3:7
    Correct
    Wrong
  • 4
    7:3
    Correct
    Wrong
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Answer : 4. "7:3"
Explanation :

Answer: D) 7:3 Explanation: Ratio of Milk and water in a vessel A is 4 : 1   Ratio of Milk and water in a vessel B is 3 : 2   Ratio of only milk in vessel A = 4 : 5   Ratio of only milk in vessel B = 3 : 5   Let 'x' be the quantity of milk in vessel C   Now as equal quantities are taken out from both vessels A & B   => 4/5     :     3/5               x   3/5-x          x - 4/5   => 35-xx-45 = 11 (equal quantities)   => x = 7/10   Therefore, quantity of milk in vessel C  = 7   => Water quantity = 10 - 7 = 3   Hence the ratio of milk & water in vessel 3 is 7 : 3

Q: Which compound contains ionic bonds? 1384 0

  • 1
    CaO
    Correct
    Wrong
  • 2
    CO2
    Correct
    Wrong
  • 3
    NO2
    Correct
    Wrong
  • 4
    NO
    Correct
    Wrong
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Answer : 1. "CaO"
Explanation :

Answer: A) CaO Explanation: An ionic bond is a chemical bond between two atoms in which one atom seems to donate its electron to another atom.   Here in the given compounds, the compound that contains ionic bond is CaO, Calcium oxide.

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