GATE Practice Question and Answer
8Q: Derivative of sinx by first principle? 2063 05b5cc6abe4d2b4197774d011
5b5cc6abe4d2b4197774d011- 1-sinxfalse
- 2-cosxfalse
- 3cosxtrue
- 4sinxfalse
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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 05b5cc6abe4d2b4197774d071
5b5cc6abe4d2b4197774d071- Show AnswerHide Answer
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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.
Q: If the labour cost 20% of the cost of production and raw material cost 10% of the cost of production and the price on which article is sold is 20% above the cost of production. If the price of labour is increased by 40% and the price of raw material increased by 20% and rest other expenditure of cost remain constant. The industry thus decide to increase the selling price by 10%. Find the new profit percent ? 2061 05b5cc6c7e4d2b4197774de78
5b5cc6c7e4d2b4197774de78- 118%false
- 220%true
- 322%false
- 424%false
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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 05b5cc6b0e4d2b4197774d2c6
5b5cc6b0e4d2b4197774d2c6- 14false
- 214true
- 348false
- 427648false
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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 15b5cc7d0e4d2b41977751204
5b5cc7d0e4d2b41977751204- 1-1false
- 20true
- 31/2false
- 41false
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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 05b5cc670e4d2b4197774c039
5b5cc670e4d2b4197774c039- 1139.54false
- 2140.70false
- 3149.08true
- 4153.24false
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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 05b5cc688e4d2b4197774c331
5b5cc688e4d2b4197774c331- 1Hydrophobicfalse
- 2Ionicfalse
- 3Covalenttrue
- 4Hydrophilicfalse
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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 05b5cc761e4d2b4197774fd2a
5b5cc761e4d2b4197774fd2a- 16 : 8 : 9false
- 28 : 6 : 9false
- 39 : 8 : 6true
- 46 : 5 : 4false
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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

