GATE Practice Question and Answer

Q: Conditions: I is brother of J K is father of I L is brother of M M is daughter of J , then Who is I to L? 2171 0

  • 1
    Grand father
    Correct
    Wrong
  • 2
    Uncle
    Correct
    Wrong
  • 3
    Son
    Correct
    Wrong
  • 4
    Brother
    Correct
    Wrong
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Answer : 2. "Uncle"
Explanation :

Answer: B) Uncle Explanation:

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Answer : 3. "b only"
Explanation :

Answer: C) b only Explanation: Since half of the four children are girls, two must be boys. It is not clear which children have blue or brown eyes. So only statement (b) follows.

Q: Find the compound interest on Rs. 6,500 for 4 years if the rate of interest is 10% p.a. for the first 2 years and 20% per annum for the next 2 years? 2171 0

  • 1
    Rs. 3845
    Correct
    Wrong
  • 2
    Rs. 4826
    Correct
    Wrong
  • 3
    Rs. 5142
    Correct
    Wrong
  • 4
    Rs. 4415
    Correct
    Wrong
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Answer : 2. "Rs. 4826"
Explanation :

Answer: B) Rs. 4826 Explanation: We know the formula for calculating The compound interest C = P1 + r100n - 1 where P = amount, r = rate of interest, n = time Here P = 5000, r1 = 10, r2 = 20 Then C = 65001 + 101002 x 1 + 201002 - 1= 6500 x 18562500= 65 x 185625 C = Rs. 4826.

Q: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is  ? 2171 0

  • 1
    16/19
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    3/2
    Correct
    Wrong
  • 4
    17/20
    Correct
    Wrong
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Answer : 4. "17/20"
Explanation :

Answer: D) 17/20 Explanation: n(S) = 20n(Even no) = 10 = n(E)n(Prime no) = 8 = n(P)P(E U P) = 10/20 + 8/20 - 1/20 = 17/20

Q: How does molecular shape affect polarity? 2170 0

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Answer :
Explanation :

Polarity ::  The polarity of a molecule defines its other physical properties such as melting point, boiling point, surface tension, vapor pressure etc... Simply, polarity occurs when the electron distribution in a molecule is asymmetric. This results in a net dipole moment in the molecule. One end of the molecule is charged negative while the other gets a positive charge.   The polarization of a molecule greatly depends on the shape of the molecule. A diatomic molecule like HF mentioned above has no issue of shape. The net dipole moment is only due to the uneven distribution of electrons between the two atoms. However, when there are more than two atoms involved in making a bond, there are many complexities.   The water molecule is of bent shape. Therefore, when the two pair of electrons shared by oxygen with two hydrogen atoms is pulled towards oxygen, the net dipole moment results in the direction of the oxygen atom. There is no other force to cancel out the resultant dipole moment. Hence, the water molecule is highly polar.   Ammonia molecule is of a pyramid shape and the electronegative N atom pulls the electrons towards itself. The three N-H bonds are not in the same plane; hence the dipole moments created do not get canceled out. This makes ammonia a polar molecule.   However, the dipole moments sometimes get canceled due to the shape of the molecules, making the molecule non-polar. Carbon dioxide is such a molecule.

Q: In general, which is the cause of a land breeze? 2169 0

  • 1
    Pressure
    Correct
    Wrong
  • 2
    Heat
    Correct
    Wrong
  • 3
    Temperature
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 3. "Temperature"
Explanation :

Answer: C) Temperature Explanation: The land breeze is a coastal breeze at night blowing from the land to the ocean. It is caused by the difference in the rates of cooling of the land and of the ocean. Once again, the bigger the difference in temperature between the two, the stronger the wind.

Q: The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit ? 2169 0

  • 1
    Rs. 660
    Correct
    Wrong
  • 2
    Rs. 560
    Correct
    Wrong
  • 3
    Rs. 1060
    Correct
    Wrong
  • 4
    Rs. 960
    Correct
    Wrong
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Answer : 4. "Rs. 960"
Explanation :

Answer: D) Rs. 960 Explanation: Let C.P. = Rs. C. Then, 832 - C = C - 4482C = 1280 => C = 640Required S.P. = 150% of Rs. 640 = 150/100 x 640 = Rs. 960.

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Answer : 3. "37"
Explanation :

Answer: C) 37 Explanation: The number of liters in each can = HCF of 80, 144 and 368 = 16 liters.Number of cans of Maaza = 368/16 = 23Number of cans of Pepsi = 80/16 = 5Number of cans of Sprite = 144/16 = 9The total number of cans required = 23 + 5 + 9 = 37 cans.

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