GATE Practice Question and Answer

Q: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ? 2999 0

  • 1
    Rs. 820
    Correct
    Wrong
  • 2
    Rs. 830
    Correct
    Wrong
  • 3
    Rs. 840
    Correct
    Wrong
  • 4
    Rs. 850
    Correct
    Wrong
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Answer : 2. "Rs. 830"
Explanation :

Answer: B) Rs. 830 Explanation: Let the total amount in the partnership be 'x'.Then A's share = x/3B's share = x/4C's share = x/5D's share = x - (x/3 + x/4 +x/5) = 13x/60 A : B : C : D = x/3 : x/4 : x/5 : 13x/60 = 20 : 15 : 12 : 13 A's share in the profit of Rs. 2490 = 20 (2490/60) = Rs. 830.

Q: The average age of a couple and their son was 40 years, the son got married and a child was born just two years after their marriage. When child turned to 10 years, then the average age of the family becomes 38 years. What was the age of the daughter in law at the time of marriage ? 2995 0

  • 1
    12 years
    Correct
    Wrong
  • 2
    10 years
    Correct
    Wrong
  • 3
    14 years
    Correct
    Wrong
  • 4
    13 years
    Correct
    Wrong
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Answer : 1. "12 years"
Explanation :

Answer: A) 12 years Explanation: Given the average age of couple and their son = 40 => Sum of age (H +W +S) = 40×3 Let the age of daughter in law at the time of marriage = D years Now after 10 years, (H + S +W) + 3×12 + D +12 + 10 = 38×5 178 + D = 190 D = 190 -178 = 12 years

Q: Cube root of 729 then square it 2990 0

  • 1
    9
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    81
    Correct
    Wrong
  • 4
    144
    Correct
    Wrong
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Answer : 3. "81"
Explanation :

Answer: C) 81 Explanation: 729 = 9 x 9 x 9 => Cube root of 729 = 9   Now, required square of 9 = 9 x 9 = 81.

Q: k, l, m together started a business. k invested Rs.6000 for 5 months l invested Rs.3600 for 6 months and m Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of l ? 2977 0

  • 1
    Rs. 1640
    Correct
    Wrong
  • 2
    Rs. 2500
    Correct
    Wrong
  • 3
    Rs. 2160
    Correct
    Wrong
  • 4
    Rs. 3000
    Correct
    Wrong
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Answer : 3. "Rs. 2160"
Explanation :

Answer: C) Rs. 2160 Explanation: => 60x5 : 36x6 : 75x3 => 100 : 72 : 75 => 72/247 x 7410 = Rs. 2160

Q: When combining with nonmetallic atoms, metallic atoms generally will 2973 0

  • 1
    Lose electrons and forms cations
    Correct
    Wrong
  • 2
    Gain electrons and forms anions
    Correct
    Wrong
  • 3
    Lose electrons and forms anions
    Correct
    Wrong
  • 4
    Gain electrons and forms cations
    Correct
    Wrong
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Answer : 1. "Lose electrons and forms cations"
Explanation :

Answer: A) Lose electrons and forms cations Explanation: When combining with nonmetallic atoms, metallic atoms generally will Lose electrons and forms cations.   As the ionization energy of te metals are very low, so they can easily lose electrons and form positively charged ion called cations.

Q: Poison glands of snakes are homologous to 2972 0

  • 1
    sebaceous glands of mammals
    Correct
    Wrong
  • 2
    salivary glands of vertebrates
    Correct
    Wrong
  • 3
    stings of rays
    Correct
    Wrong
  • 4
    electric organs of fishes
    Correct
    Wrong
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Answer : 2. "salivary glands of vertebrates"
Explanation :

Answer: B) salivary glands of vertebrates Explanation: Here Homologous Means having the same relation or relative position or structure.  Here in snakes poison is in glands and here salivary glands are in Vertebrates.

Q: There are several peacocks and deers in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many peacocks are there, and how many deers ? 2968 0

  • 1
    42 & 24
    Correct
    Wrong
  • 2
    38 & 26
    Correct
    Wrong
  • 3
    36 & 24
    Correct
    Wrong
  • 4
    44 & 28
    Correct
    Wrong
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Answer : 4. "44 & 28"
Explanation :

Answer: D) 44 & 28 Explanation: Letx = peacocks y = deers 2x + 4y = 200 x + y = 72 y = 72 - x 2x + 288 - 4x = 200 x = 44 peacocks y = 28 deers

Q: A merchant buys two items for Rs. 7500. One item he sells at a profit of 16% and the other item at 14% loss. In the deal, the merchant makes neither any profit nor any loss. What is the difference between the selling price of both the items? 2966 0

  • 1
    Rs. 620
    Correct
    Wrong
  • 2
    Rs. 654
    Correct
    Wrong
  • 3
    Rs. 725
    Correct
    Wrong
  • 4
    Rs. 747
    Correct
    Wrong
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Answer : 1. "Rs. 620"
Explanation :

Answer: A) Rs. 620 Explanation: Let the C.P of one item is Rs. P and that of other is Rs. (7500 - P) According to the data given C.P = S.P => Px(116/100) + (7500-P)x(86/100) = 7500 => 30P = 105000 => P = 3500 Required difference between selling prices = Rs. [(3500/100) x 116] - [(4000/100) x 86] = 4060-3440 = Rs. 620

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