GATE Practice Question and Answer

Q: Which of the following is a Heterogeneous Mixture? 2271 0

  • 1
    Air
    Correct
    Wrong
  • 2
    Table salt
    Correct
    Wrong
  • 3
    Soda
    Correct
    Wrong
  • 4
    Brass
    Correct
    Wrong
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Answer : 3. "Soda"
Explanation :

Answer: C) Soda Explanation: Here Soda is a Heterogenous Mixture.   A Heterogeneous Mixture is a mixture having a non-uniform composition i.e, the mixture contains components in different phases. Using various means, the parts in the mixture can be separated from one another.

Q: In how many ways the word 'SCOOTY' can be arranged such that 'S' and 'Y' are always at two ends? 2271 0

  • 1
    720
    Correct
    Wrong
  • 2
    360
    Correct
    Wrong
  • 3
    120
    Correct
    Wrong
  • 4
    24
    Correct
    Wrong
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Answer : 4. "24"
Explanation :

Answer: D) 24 Explanation: Given word is SCOOTY ATQ, Except S & Y number of letters are 4(C 2O's T) Hence, required number of arrangements = 4!/2! x 2! = 4! = 4 x 3 x 2 = 24 ways.

Q: Which of the following is not an aerosol? 2271 0

  • 1
    mud
    Correct
    Wrong
  • 2
    dust
    Correct
    Wrong
  • 3
    smoke
    Correct
    Wrong
  • 4
    fog
    Correct
    Wrong
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Answer : 1. "mud"
Explanation :

Answer: A) mud Explanation: Among the given options, mud is not an aerosol.   An aerosol is a suspension of fine solid particles or liquid droplets, in the air or another gas. Aerosols can be natural or anthropogenic. Examples of natural aerosols are fog, dust, forest exudates and geyser steam. Examples of anthropogenic aerosols are haze, particulate air pollutants, and smoke.

Q: Rs. 69 were divided among 115 family members so that each lady gets 50 paise less than each gentleman, and each gentleman received twice the paise as each lady received. Find the number of  gentlemen in the family? 2268 0

  • 1
    23
    Correct
    Wrong
  • 2
    92
    Correct
    Wrong
  • 3
    48
    Correct
    Wrong
  • 4
    52
    Correct
    Wrong
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Answer : 1. "23"
Explanation :

Answer: A) 23 Explanation: Total number of female members = 115 Let the number of males = x Number of females = y => x + y = 115  ......(1) According to the given data, x + y(0.50) = 69 ......(2) From (1) & (2), we get 0.5y = 46 => y = 46 x 2 = 92 => x = 115 - 92 = 23   Hence, required number of gentlemen in the family = x = 23.

Q: In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture? 2268 0

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

Answer: A) 1:1 Explanation: Quantity of alohol in the mixture = 40 x 5/8 = 25 lit Quantity of water = 40 - 25 = 15 lit According to question, Required ratio = 20 - 40 x 20100 x 5815 - 40 x 20100 x 38 + 40 x 20100 = 2015 - 3 + 8 = 1 : 1

Q: Rushi and Arun are two business partners. They invest their capital in the ratio 7 : 9. After 6 months, a third person Ram joins them with a capital of two third of that of Arun. After a year, profit share of Rushi was Rs. 5600, then find total profit? 2266 0

  • 1
    26,250
    Correct
    Wrong
  • 2
    19,200
    Correct
    Wrong
  • 3
    18,650,
    Correct
    Wrong
  • 4
    15,200
    Correct
    Wrong
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Answer : 4. "15,200"
Explanation :

Answer: D) 15,200 Explanation: Ratio of investment of all the three members = (7 x 12) : (9 x 12) : (2/3 x 9 x 6) = 7 : 9 : 3 Given Rushi's one year profit = Rs. 5600 => Let the total profit = Rs. P Then, P x 7/19 = 5600 Total profit P = 19 x 5600/7 = Rs. 15,200.

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Answer : 1. "11 days"
Explanation :

Answer: A) 11 days Explanation: Let 'n' number of days it take to complete.   we know that sum of n number= n/2[2a+(n-1)d]where a=20,d=1;n/2[2x20+(n-1)1]=275n[n+39]=550n2 + 39n - 550 = 0 n2+ 50n - 11n - 550 = 0(n-11) (n-50) = 0n-11 = 0;n = 11(Days).

Q: A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 15%, he is only able to save Rs. 400 per month. What is his monthly salary ? 2255 0

  • 1
    Rs. 6000
    Correct
    Wrong
  • 2
    Rs. 4500
    Correct
    Wrong
  • 3
    Rs. 5000
    Correct
    Wrong
  • 4
    Rs. 6500
    Correct
    Wrong
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Answer : 3. "Rs. 5000"
Explanation :

Answer: C) Rs. 5000 Explanation: Income = Rs. 100 Expenditure = Rs. 80 Savings = Rs. 20 Present Expenditure 80x(15/100) = Rs. 12 = 80 + 12 = Rs. 92 Present Savings = 100 – 92 = Rs. 8 100 ------ 8? --------- 400 => 5000 His salary = Rs. 5000

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