GATE Practice Question and Answer

Q: Rajitha's present age is three years less than twice her age 12 years ago. Also, the ratio of Raj's present age to Rajitha's present age is 4:9. What will be Raj's age after 5 years ? 2339 0

  • 1
    17 yrs
    Correct
    Wrong
  • 2
    16 yrs
    Correct
    Wrong
  • 3
    19 yrs
    Correct
    Wrong
  • 4
    21 yrs
    Correct
    Wrong
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Answer : 1. "17 yrs"
Explanation :

Answer: A) 17 yrs Explanation: Let the present age of Raj and Rajitha be 4x and 9x.Then, according to question,9x = 2(9x-12)-3 => 9x = 27 => x = 3Raj's present age = 4x = 12yrs, After 5 years Raj's age will be 12 + 5 = 17 yrs.

Q: Which three components are common to all amino acids? 2339 0

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Answer :
Explanation :

Any two amino acids vary structure by the r-group, otherwise all amino acids are in the same structure. All amino acids have in common carboxyl group -COO , amino group -NH3+ and a hydrogen -H and a r-group which are all bonded to a central carbon.

Q: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ? 2338 0

  • 1
    205
    Correct
    Wrong
  • 2
    194
    Correct
    Wrong
  • 3
    209
    Correct
    Wrong
  • 4
    159
    Correct
    Wrong
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Answer : 3. "209"
Explanation :

Answer: C) 209 Explanation: We may have (1 boy and 3 girls)or(2boys and 2 girls)or(3 boys and 1 girl)or(4 boys). Required number of ways = (C16× C34) + C26×C24  + (C36× C14) + (C46)   = (24+90+80+15)  = 209.

Q: Derivative of sinx by first principle? 2338 0

  • 1
    -sinx
    Correct
    Wrong
  • 2
    -cosx
    Correct
    Wrong
  • 3
    cosx
    Correct
    Wrong
  • 4
    sinx
    Correct
    Wrong
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Answer : 3. "cosx"
Explanation :

Answer: C) cosx Explanation:   Thus, the derivative of sinx by first principle is cosx.

Q: A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved? 2337 0

  • 1
    1/4
    Correct
    Wrong
  • 2
    1/2
    Correct
    Wrong
  • 3
    3/4
    Correct
    Wrong
  • 4
    7/12
    Correct
    Wrong
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Answer : 3. "3/4"
Explanation :

Answer: C) 3/4 Explanation: Let A, B, C be the respective events of solving the problem and A , B, C be the respective events of not solving the problem. Then A, B, C are independent event ∴A, B, C are independent events Now,  P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4  PA=12, PB=23, PC= 34 ∴ P( none  solves the problem) = P(not A) and (not B) and (not C)                     = PA∩B∩C                    = PAPBPC         ∵ A, B, C are Independent                                          =  12×23×34                     = 14   Hence, P(the problem will be solved) = 1 - P(none solves the problem)                  = 1-14= 3/4

Q: Which revolutionary died after a 64 days fast in jail? 2337 0

  • 1
    Jatin Das
    Correct
    Wrong
  • 2
    Pulin Das
    Correct
    Wrong
  • 3
    Subhash Chandra bose
    Correct
    Wrong
  • 4
    Both A & B
    Correct
    Wrong
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Answer : 1. "Jatin Das"
Explanation :

Answer: A) Jatin Das Explanation: Jatindra Nath Das, also known as Jatin Das, was a revolutionary and Independence activist. He embraced death in Lahore jail after fasting for 64 days in 1929 at the age of 24 yrs.

Q: Which statement is one component of the cell theory? 2337 0

  • 1
    DNA is the basis of genetic transfer
    Correct
    Wrong
  • 2
    All living cells arise from pre-existing cells
    Correct
    Wrong
  • 3
    All cells are composed of same organelles
    Correct
    Wrong
  • 4
    Tissues are formed from combinations of cells
    Correct
    Wrong
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Answer : 2. "All living cells arise from pre-existing cells"
Explanation :

Answer: B) All living cells arise from pre-existing cells Explanation: All living cells arise from pre-existing cells is one component of the cell theory.   The Cell Theory is one of the basic principles of biology.   The Cell Theory states: 1. All living organisms are composed of cells. They may be unicellular or multicellular. 2. The cell is the basic unit of life. 3. Cells arise from pre-existing cells.

Q: Antonym for Durable 2337 0

  • 1
    Pressure
    Correct
    Wrong
  • 2
    Flimsy
    Correct
    Wrong
  • 3
    Hard-wearing
    Correct
    Wrong
  • 4
    Withstand
    Correct
    Wrong
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Answer : 2. "Flimsy"
Explanation :

Answer: B) Flimsy Explanation: Durable means able to withstand wear, pressure.   Antonyms for Durable are Delicate, Flimsy, Short-lived.

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