GATE Practice Question and Answer

Q: Derivative of sinx by first principle? 2063 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: 8 S on a SS means? 2062 0

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Answer :
Explanation :

8 S on SS means 8 Sides on a Stop Sign. This is one type of Letter Equations which are well known phrases or facts where the key words have been replaced with the first letter of that word. These are often in the form of an equation, which contain a number, an = sign and the rest of the obscured phrase or fact.   Some more of them are :: 90 D in a RA 26 L of the A  12 S of the Z.

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Answer : 2. "20%"
Explanation :

Answer: B) 20% Explanation: Let the Cost of Production of the article = 100 Then, Labour Cost = 20 Raw Material = 10 Other Expenditure = 100 - 10 – 20 = 70 Selling Price of the article  = 120 After increasing Labour and Raw material cost by 40% & 20% respectively, New Labour cost = 28 New Raw material cost = 12 New Cost of Production = 70 + 28 + 12 = 110 Then, New SP = 110% of 120 = 120 x 110/100 = 132 => New Gain = 132 - 110 = 22 => New Profit % = 22 x 100/110 = 20%

Q: Find the Odd One Out? 3, 4, 14, 48, 576, 27648 2061 0

  • 1
    4
    Correct
    Wrong
  • 2
    14
    Correct
    Wrong
  • 3
    48
    Correct
    Wrong
  • 4
    27648
    Correct
    Wrong
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Answer : 2. "14"
Explanation :

Answer: B) 14 Explanation: Given Number series is :   3   4   14   48   576   27648   It follows a pattern that,   3   4   4 x 3 = 12   but not 14   12 x 4 = 48   48 x 12 = 576   576 x 48 = 27648       Hence, the odd one in the given Number Series is 14.

Q: The Value of  logtan10+logtan20+⋯⋯+logtan890 is 2060 1

  • 1
    -1
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    1/2
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 2. "0"
Explanation :

Answer: B) 0 Explanation: = log tan10+log tan890 + log tan20+ log tan880+⋯⋯+log tan450     = log [tan10 × tan890] + log [tan20 × tan880 ] +⋯⋯+log1     ∵ tan(90-θ)=cotθ and tan 450=1     = log 1 + log 1 +.....+log 1    = 0.

Q: what is the gram formula mass of NH43PO4? 2060 0

  • 1
    139.54
    Correct
    Wrong
  • 2
    140.70
    Correct
    Wrong
  • 3
    149.08
    Correct
    Wrong
  • 4
    153.24
    Correct
    Wrong
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Answer : 3. "149.08"
Explanation :

Answer: C) 149.08 Explanation: The gram formula mass is nothing but molar mass.   Composition :   Symbol      Element       Atomic weight       Atoms          P         Phosphorus       30.973762               1       = 30.973         O         Oxygen             15.9994                  4       =  63.998         N         Nitrogen            14.0067                  3       =  42.020         H         Hydrogen          1.00794                  12      =  12.096     Total   =  30.973+63.998+42.020+12.096 = 149.087

Q: What type of bond is joining the two hydrogen atoms? 2060 0

  • 1
    Hydrophobic
    Correct
    Wrong
  • 2
    Ionic
    Correct
    Wrong
  • 3
    Covalent
    Correct
    Wrong
  • 4
    Hydrophilic
    Correct
    Wrong
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Answer : 3. "Covalent"
Explanation :

Answer: C) Covalent Explanation: Covalent type of bonding joins the two hydrogen atoms. Hydrogen atoms in compounds such as H2 and H2O are joined to the molecule with covalent bonds. This is where electrons are shared between the atoms in order to fill there valence shells.

Q: Salaries of Karthik, Arun and Akhil were in the ratio 4 : 5 : 6 respectively. If their salaries were increased by 50 per cent, 60 per cent and 50 per cent respectively, what will be the new ratio of the salaries of Akhil, Arun and Karthik ? 2059 0

  • 1
    6 : 8 : 9
    Correct
    Wrong
  • 2
    8 : 6 : 9
    Correct
    Wrong
  • 3
    9 : 8 : 6
    Correct
    Wrong
  • 4
    6 : 5 : 4
    Correct
    Wrong
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Answer : 3. "9 : 8 : 6"
Explanation :

Answer: C) 9 : 8 : 6 Explanation: Given the salaries are in the ratio of 4 : 5 : 6   Now the salaries are increased by 50%, 60% and 50% respectively   The New ratio of salaries will be   4 x (150/100) : 5 x (160/100) : 6 x (150/100)   = 6 : 8 : 9   The new ratio of salaries of Akhil, Arun and Karthik is 9 : 8 : 6

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