GATE Practice Question and Answer

Q: A farmer divides his herd of k cows among his 4 sons, so that one son gets one half of the herd, the second gets one-fourth, the third gets one-fifth and the fourth gets 9 cows. Then k is equal to ? 1535 0

  • 1
    160
    Correct
    Wrong
  • 2
    120
    Correct
    Wrong
  • 3
    140
    Correct
    Wrong
  • 4
    180
    Correct
    Wrong
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Answer : 4. "180"
Explanation :

Answer: D) 180 Explanation: Given total number of cows = kNow, 1st son share = k/22nd son share = k/43rd son share = k/54th son share = 9 (k) + (k/4) + (k/5) + 9 = k=> k - (19k/20) = 9=> (20k-19k)/20 = 9=> k = 180.

Q: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high  ? 1533 0

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    13 m
    Correct
    Wrong
  • 2
    14 m
    Correct
    Wrong
  • 3
    15 m
    Correct
    Wrong
  • 4
    16 m
    Correct
    Wrong
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Answer : 1. "13 m"
Explanation :

Answer: A) 13 m Explanation: The length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high is   =>  d2 = 122 + 42 + 32 = 13mts.

Q: What do lines of latitude measure? 1532 0

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    east-west position between the poles
    Correct
    Wrong
  • 2
    north-south position between the poles
    Correct
    Wrong
  • 3
    north-east position between the poles
    Correct
    Wrong
  • 4
    south-west position between the poles
    Correct
    Wrong
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Answer : 2. "north-south position between the poles"
Explanation :

Answer: B) north-south position between the poles Explanation: Lines of latitude measure north-south position between the poles.   Lines of latitude are imaginary reference lines that describe how far north or south a location on the Earth is from the Equator. The equator is defined as 0 degrees, the North Pole is 90 degrees north, and the South Pole is 90 degrees south. Lines of latitude are all parallel to each other, thus they are often referred to as parallels.

Q: Find the Value of ? 5.112.2+5.553.3+6.31.4+7.22.001 = ? x 3.34 1532 0

  • 1
    81
    Correct
    Wrong
  • 2
    77
    Correct
    Wrong
  • 3
    73
    Correct
    Wrong
  • 4
    89
    Correct
    Wrong
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Answer : 4. "89"
Explanation :

Answer: D) 89 Explanation: This can be done in a method called Approximation. Now,  52 + 63 + 6 + 72 = ? x 3.3425 + 216 + 6 + 49 = ? x 3.34296 = ? x 3.34? = 2963.34 = 88.622 ≅ 89

Q: Which is faster Light or Sound? 1532 1

  • 1
    Light
    Correct
    Wrong
  • 2
    Sound
    Correct
    Wrong
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    Both are same
    Correct
    Wrong
  • 4
    Can't be determined
    Correct
    Wrong
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Answer : 1. "Light"
Explanation :

Answer: A) Light Explanation: Light travels Faster than Sound.   Light : 1. Light doesn't require a medium to travel. 2. It travels in the vaccum with the speed of 1,86,000 miles per second.   Sound: 1. Sound rquire a medium. 2. It travels in the Air with the speed of 340 meters per second. 3. It travels Faster in Water than in Air. 4. It travels Faster in Steel than in Water.

Q: 3 x 3 + 3 - 3 + 3 = ? 1531 0

  • 1
    9
    Correct
    Wrong
  • 2
    12
    Correct
    Wrong
  • 3
    -3
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 2. "12"
Explanation :

Answer: B) 12 Explanation: Using BODMAS law, 3 x 3 + 3 - 3 + 3 = 3 x 3 = 12 = 12 + 3 - 3 + 3 =  9 + 3 = 12   Hence, 3 x 3 + 3 - 3 + 3 = 12.

Q: Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 m x 5 m when 10% of its volume is occupied by concrete ? 1531 0

  • 1
    6000
    Correct
    Wrong
  • 2
    5400
    Correct
    Wrong
  • 3
    3800
    Correct
    Wrong
  • 4
    4700
    Correct
    Wrong
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Answer : 1. "6000"
Explanation :

Answer: A) 6000 Explanation: Let 'B' be the nuber of bricks. => 10 x 4/100 x 5 x 90/100 = 25/100 x 15/100 x 8/100 x B => 10 x 20 x 90 = 15 x 2 x B => B = 6000

Q: Rs. 50000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 7000 Find money given by 10% ? 1531 0

  • 1
    Rs. 20,000
    Correct
    Wrong
  • 2
    Rs. 10,000
    Correct
    Wrong
  • 3
    Rs. 30,000
    Correct
    Wrong
  • 4
    Rs. 40,000
    Correct
    Wrong
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Answer : 3. "Rs. 30,000"
Explanation :

Answer: C) Rs. 30,000 Explanation: Let first part is 'K' and second part is 'L' then K + L = 50000---------eq1Total profit = profit on x + profit on y7000 = (K x 10 x 1)/100 + (L x 20 x 1)/10070000 = K + 2L-----------------------------------eq270000 = 50000 + Lso L = 20000 then K = 50000 - 20000 = 30000first part on 10% is = Rs.30000

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