GATE Practice Question and Answer

Q: If the HCF of 210 and 55 is expressible in the form of 210 x 5 + 55P, then value of P = ? 1875 0

  • 1
    -23
    Correct
    Wrong
  • 2
    27
    Correct
    Wrong
  • 3
    16
    Correct
    Wrong
  • 4
    -19
    Correct
    Wrong
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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.

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Answer :
Explanation :

The poison was in the ice. When the girl drank the iced tea, the ice was still fully frozen. Gradually, as the ice cubes melted the poison was released into the drink.   Hence, the girl who died, drunk the tea after the ice melted. So, she was died.

Q: 30% of 500 rupees is? 1874 0

  • 1
    Rs. 180
    Correct
    Wrong
  • 2
    Rs. 150
    Correct
    Wrong
  • 3
    Rs. 120
    Correct
    Wrong
  • 4
    Rs. 240
    Correct
    Wrong
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Answer : 2. "Rs. 150"
Explanation :

Answer: B) Rs. 150 Explanation: Given 30% of 500 = 30100 x 500= 30 x 5= 150   Hence, 30% of Rs. 500 = Rs. 150.

Q: Guess the Hiding Letter  ? 1873 0

  • 1
    D
    Correct
    Wrong
  • 2
    K
    Correct
    Wrong
  • 3
    L
    Correct
    Wrong
  • 4
    G
    Correct
    Wrong
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Answer : 4. "G"
Explanation :

Answer: D) G Explanation: Starting from letter 'S' add 5 in the clock wise direction to get the next letter in English alphabets. Here S + 5 => 19 + 5 = 24 => X X + 5 = 24 + 5 = 3 => C Similarly,  B + 5 = G

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Answer :
Explanation :

The letter 'E'. As of the above given data, It is in the 1st place in Earth, 2nd in Heaven and in the middle of the Sea. It appears once in a Year and twice in a Week. It is present in February, June, September, October, November & December. But not in the Month.   Hence, it is the letter 'E'.

Q: Which of the following chemical compounds has the highest boiling point? 1872 0

  • 1
    Dimethyl ether (CH3OCH3)
    Correct
    Wrong
  • 2
    Methanol (CH3OH)
    Correct
    Wrong
  • 3
    Methane (CH4)
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 2. "Methanol (CH3OH)"
Explanation :

Answer: B) Methanol (CH3OH) Explanation: Chemical Compounds with stronger intermolecular forces have higher boiling points.   The order of strengths of intermolecular forces is:  London dispersion < dipole-dipole < H-bonding   Methane (CH4) — London dispersion forces Dimethyl ether (CH3OCH3) — dipole-dipole attractions Methanol (CH3OH) — hydrogen bonding Therefore, Methanol - CH3OH with H-Bonding have highest Boiling Point among the given chemical compounds.

Q: A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger  ? 1871 0

  • 1
    10 sec
    Correct
    Wrong
  • 2
    48 sec
    Correct
    Wrong
  • 3
    36 sec
    Correct
    Wrong
  • 4
    56 sec
    Correct
    Wrong
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Answer : 3. "36 sec"
Explanation :

Answer: C) 36 sec Explanation: Given speed of jogger = 9 kmph Speed of train = 45 kmphAs they are in same direction, Relative speed = 45 - 9 = 36 kmph = 36x5/18 = 10 m/sDistance = 240 + 120 = 360 mts Time = distance/speed = 360/10 = 36 sec.

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Answer : 3. "37"
Explanation :

Answer: C) 37 Explanation: The number of liters in each can = HCF of 80, 144 and 368 = 16 liters.Number of cans of Maaza = 368/16 = 23Number of cans of Pepsi = 80/16 = 5Number of cans of Sprite = 144/16 = 9The total number of cans required = 23 + 5 + 9 = 37 cans.

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