GATE Practice Question and Answer

Q: If a quarter kg of carrots costs 60 paise, how many paise will 200 gms cost ? 2110 0

  • 1
    78 paise
    Correct
    Wrong
  • 2
    48 paise
    Correct
    Wrong
  • 3
    54 paise
    Correct
    Wrong
  • 4
    62 paise
    Correct
    Wrong
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Answer : 2. "48 paise"
Explanation :

Answer: B) 48 paise Explanation: Quarter of Kg means 250 gm Less weight, less price (Direct Proportion) So, 250 : 200 :: 60 : x => x = 48 So 200 gm will cost 48 paise.

Q: What is the place value of 6 in 64? 2106 0

  • 1
    6
    Correct
    Wrong
  • 2
    60
    Correct
    Wrong
  • 3
    64
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 2. "60"
Explanation :

Answer: B) 60 Explanation: We know that, ● Each digit has a fixed position called its place. ● Each digit has a value depending on its place called the place value of the digit. ● The face value of a digit for any place in the given number is the value of the digit itself ● Place value of a digit = (face value of the digit) × (value of the place).   Hence, the place value of 6 in 64 = 6 x 10 = 60.

Q: A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work ? 2105 0

  • 1
    14 days
    Correct
    Wrong
  • 2
    18 days
    Correct
    Wrong
  • 3
    21 deays
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 1. "14 days"
Explanation :

Answer: A) 14 days Explanation: Let A worked for x days. x/21 + 4/28 = 1  => x = 18   A worked for 18 days. So, A can complete the remaining work in 18 - 4 = 14 days.

Q: What number should replace the question mark? 125, 138, 164, ?, 255 2102 0

  • 1
    189
    Correct
    Wrong
  • 2
    197
    Correct
    Wrong
  • 3
    200
    Correct
    Wrong
  • 4
    203
    Correct
    Wrong
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Answer : 4. "203"
Explanation :

Answer: D) 203 Explanation: The given number series is 125,   138,   164,   ?,   255   125   125 + 13x1 = 138   138 + 13x2 = 164   164 + 13x3 = 203   203 + 13x4 = 255       Hence, the missing number in the series is 203.

Q: Points that lie on the same line are called 2102 0

  • 1
    Congruent
    Correct
    Wrong
  • 2
    Coplanar points
    Correct
    Wrong
  • 3
    Collinear points
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "Collinear points"
Explanation :

Answer: C) Collinear points Explanation: Points that lie on the same line are called Collinear points. And that points lie on the same plane are called Coplanar points.

Q: If selling price is doubled, the profit triples. Find the profit percent ? 2102 0

  • 1
    100%
    Correct
    Wrong
  • 2
    200%
    Correct
    Wrong
  • 3
    300%
    Correct
    Wrong
  • 4
    400%
    Correct
    Wrong
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Answer : 1. "100%"
Explanation :

Answer: A) 100% Explanation: Let the C.P be Rs.100 and S.P be Rs.x, Then The profit is (x-100)Now the S.P is doubled, then the new S.P is 2xNew profit is (2x-100)Now as per the given condition; => 3(x-100) = 2x-100By solving, we get x = 200Then the Profit percent = (200-100)/100 = 100Hence the profit percentage is 100%

Q: Tilak rides on a cycle to a place at speed of 22 kmph and comes back at a speed of 20 kmph. If the time taken by him in the second case is 36 min. more than that of the first case, what is the total distance travelled by him (in km)? 2101 0

  • 1
    132 km
    Correct
    Wrong
  • 2
    264 km
    Correct
    Wrong
  • 3
    134 km
    Correct
    Wrong
  • 4
    236 km
    Correct
    Wrong
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Answer : 2. "264 km"
Explanation :

Answer: B) 264 km Explanation: Let the distance travelled by Tilak in first case or second case = d kms Now, from the given data, d/20 = d/22 + 36 min => d/20 = d/22 + 3/5 hrs => d = 132 km.   Hence, the total distance travelled by him = d + d = 132 + 132 = 264 kms.

Q: The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is   ? 2099 0

  • 1
    6
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 4. "5"
Explanation :

Answer: D) 5 Explanation: Arithmatic mean = sum/members  => (1x1 + 2x2 + 3x3 + 4x4 + 5x5 + 6x6 + 7x7) / (1 + 2 + 3 + 4 + 5 + 6 + 7) => 140/28 = 5

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