GATE Practice Question and Answer

Q: Groundwater is found underground in the zone of 2361 0

  • 1
    Penetration
    Correct
    Wrong
  • 2
    Aeration
    Correct
    Wrong
  • 3
    Saturation
    Correct
    Wrong
  • 4
    Both B & C
    Correct
    Wrong
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Answer : 4. "Both B & C"
Explanation :

Answer: D) Both B & C Explanation: Groundwater is all the water that has penetrated the earth's surface and is found in one of two soil layers. The one nearest the surface is the "zone of aeration", where gaps between soil are filled with both air and water. Below this layer is the "zone of saturation", where the gaps are filled with water.

Q: A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum  ? 2359 0

  • 1
    Rs.8000
    Correct
    Wrong
  • 2
    Rs.6500
    Correct
    Wrong
  • 3
    Rs.7500
    Correct
    Wrong
  • 4
    Rs.5000
    Correct
    Wrong
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Answer : 3. "Rs.7500"
Explanation :

Answer: C) Rs.7500 Explanation: p=d×1002R2  Where d is difference, r is rate of interest.  => (48 x 100 x 100) / 8 x 8 = Rs.7500

Q: Find out the wrong number in the following series ? 2880, 480, 92, 24, 8, 4, 4 2357 0

  • 1
    480
    Correct
    Wrong
  • 2
    92
    Correct
    Wrong
  • 3
    24
    Correct
    Wrong
  • 4
    4
    Correct
    Wrong
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Answer : 2. "92"
Explanation :

Answer: B) 92 Explanation: The given series of numbers follow the rule that, 2880/6 = 480480/5   = 9696/4     = 2424/3     = 88/2       = 44/1       = 4 But 92 is not in the rule. It is the wrong number in the given series.

Q: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned  ? 2357 0

  • 1
    Rs. 11828.80
    Correct
    Wrong
  • 2
    Rs. 19828.80
    Correct
    Wrong
  • 3
    Rs. 9828.80
    Correct
    Wrong
  • 4
    Rs. 19328.80
    Correct
    Wrong
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Answer : 2. "Rs. 19828.80"
Explanation :

Answer: B) Rs. 19828.80 Explanation: Let the sum be Rs. P P{ 1+81002- 1 } = 2828.80   It is in the form of  a2-b2 = a+ba-b   P(8/100)(2 + 8/100) = 2828.80   P = 2828.80 / (0.08)(2.08)   = 1360/0.08 = 17000   Principal + Interest = Rs. 19828.80

Q: Which statement best compares a line and a point? 2356 0

  • 1
    A point has no dimension and a line has one dimension.
    Correct
    Wrong
  • 2
    A line can have line segments on it whereas a point cannot be on any line segment.
    Correct
    Wrong
  • 3
    point is a location whereas a line has several planes located on it
    Correct
    Wrong
  • 4
    A line can lie on a plane whereas a point cannot lie on a plane.
    Correct
    Wrong
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Answer : 1. "A point has no dimension and a line has one dimension."
Explanation :

Answer: A) A point has no dimension and a line has one dimension. Explanation: A point has no dimension and a line has one dimension is the statement that best compares a line and a point.

Q: The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e always come together ? 2355 0

  • 1
    1/7
    Correct
    Wrong
  • 2
    8!
    Correct
    Wrong
  • 3
    7!
    Correct
    Wrong
  • 4
    1/14
    Correct
    Wrong
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Answer : 4. "1/14"
Explanation :

Answer: D) 1/14 Explanation: The 8 letters can be written in 8! ways.n(S) = 8!Let E be the event that the letters b,c,d,e always come together when the first 8 alphabets are written down.Now the letters a, (bcde), f, g and h can be arranged in 5! ways.The letters b,c,d and e can be arranged themselves in 4! ways.n(E) = 5! x 4!Now, the required P(E) = n(E)/n(S) = 5! x 4!/8! = 1/14Hence the answer is 1/14.

Q: 'BE' is related to 'GJ' in the same way as 'PS' is related to ? 2354 0

  • 1
    VX
    Correct
    Wrong
  • 2
    TU
    Correct
    Wrong
  • 3
    UX
    Correct
    Wrong
  • 4
    TV
    Correct
    Wrong
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Answer : 3. "UX"
Explanation :

Answer: C) UX Explanation: Each corresponding letter moves five places forward in the alphabet.Here as BE is related to GJ then PS will relate to UX.

Q: Is a square a rhombus? 2353 0

  • 1
    TRUE
    Correct
    Wrong
  • 2
    FALSE Answer & Explanation Answer:
    Correct
    Wrong
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Answer : 1. "TRUE"
Explanation :

Answer: A) TRUE Explanation: Yes, a square is a rhombus. But a rhombus is not a square unless the interior angles are at right angles.   We know that, a square is a quadrilateral with all sides equal and all the interior angles are 90 deg i.e, at right angles.  Whereas a rhombus is also a quadrilateral with all sides equal but the interior angles are not at right angles. Hence, if the interior angles of a rhombus are all at right angles (90 deg), then it is square.

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