GATE Practice Question and Answer

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Answer : 4. "Tanuja"
Explanation :

Answer: D) Tanuja Explanation: The four vocal musicians and one actress in the group are given. Two dancers are Shailaja and Tanuja. Two violinists are Girija and Vanaja. Since Jalaja and Shailaja cannot be violinists, so remaining two violinists are Tanuja and Pooja. Clearly, Tanuja is both a violinist and a dancer.

Q: The last two digits of 2151415? 1927 0

  • 1
    81
    Correct
    Wrong
  • 2
    61
    Correct
    Wrong
  • 3
    91
    Correct
    Wrong
  • 4
    51
    Correct
    Wrong
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Answer : 4. "51"
Explanation :

Answer: D) 51 Explanation: Unit digit of this expression is always 1 as the base ends with 1.  For the tenth place digit we need to multiply the digit in the tenth place of the base and unit digit of the power and take its unit digit. i.e, tenth place digit in 2151 is 5 and tenth place digit in power 415 is 1 And the units digit in the product of 5 x 1 = 5   Therefore, last two digits of 2151415 is 51.

Q: 7, 11, 19, 35, ? Find the next number in the given number series? 1922 0

  • 1
    131
    Correct
    Wrong
  • 2
    94
    Correct
    Wrong
  • 3
    83
    Correct
    Wrong
  • 4
    67
    Correct
    Wrong
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Answer : 4. "67"
Explanation :

Answer: D) 67 Explanation: Here the given series 7, 11, 19, 35, ? follows a pattern that (x 2 - 3) i.e, 7 7 x 2 - 3 = 11 11 x 2 - 3 = 19 19 x 2 - 3 = 35 35 x 2 - 3 = 67 67 x 2 - 3 = 131   Hence the next number in the given number series is 67.

Q: K is 50% faster than L. If L starts at 9 A.M. and K starts at 10 A.M. L travels at a speed of 50 km/hr. If L and K are 300 kms apart, The time when they meet when they travel in opposite direction is ? 1922 0

  • 1
    12 pm
    Correct
    Wrong
  • 2
    1 pm
    Correct
    Wrong
  • 3
    11 am
    Correct
    Wrong
  • 4
    11:30 am
    Correct
    Wrong
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Answer : 1. "12 pm"
Explanation :

Answer: A) 12 pm Explanation: let 't' be the time after which they met since L starts. Given K is 50% faster than L 50 t + 1.5*50(t-1) = 300 50 t +75 t = 300 + 75 t = 375 / 125 = 3 hrs past the time that L starts So they meet at (9 + 3)hrs = 12:00 noon.

Q: The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e always come together ? 1917 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: If Riya's age is four times the age of Siya and if Riya's age is 24 yrs , find the age difference between Riya and Siya ? 1916 0

  • 1
    2 yrs
    Correct
    Wrong
  • 2
    12 yrs
    Correct
    Wrong
  • 3
    18 yrs
    Correct
    Wrong
  • 4
    6 yrs
    Correct
    Wrong
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Answer : 3. "18 yrs"
Explanation :

Answer: C) 18 yrs Explanation: Let Siya's age = x Then Riya's age = 4x But given Riya's age = 24 => 4x = 24 => x = 6 Hence Siya's age = 6 yrs => The age difference = 24 - 6 = 18 yrs.

Q: Who has the best overall health? 1915 0

  • 1
    a person who exercises regularly and is not overweight
    Correct
    Wrong
  • 2
    a person who is not ill and is physically active
    Correct
    Wrong
  • 3
    a person who lives longer than his or her grandparents
    Correct
    Wrong
  • 4
    a person who balances social, physical, and mental health
    Correct
    Wrong
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Answer : 4. "a person who balances social, physical, and mental health"
Explanation :

Answer: D) a person who balances social, physical, and mental health Explanation: A person who balances all the three healths such as Physical, mental and Social healths has the best overall health.

Q: Which of the following is not a function of cytoskeleton in a cell ? 1912 0

  • 1
    Maintenance of cell shape and structure
    Correct
    Wrong
  • 2
    Intracellular transport
    Correct
    Wrong
  • 3
    Cell motility
    Correct
    Wrong
  • 4
    Support of the organelle
    Correct
    Wrong
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Answer : 2. "Intracellular transport"
Explanation :

Answer: B) Intracellular transport Explanation: A cytoskeleton is the frame that gives shape to a cell. And also it offers support, and facilitates movement through three main components: microfilaments, intermediate filaments, and microtubules.   The cytoskeleton helps the cell move in its environment and controls the movement of all of the cell's interior workings.

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