GATE Practice Question and Answer

Q: Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is ? 3629 0

  • 1
    193 : 122
    Correct
    Wrong
  • 2
    97 : 102
    Correct
    Wrong
  • 3
    115 : 201
    Correct
    Wrong
  • 4
    147 : 185
    Correct
    Wrong
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Answer : 1. "193 : 122"
Explanation :

Answer: A) 193 : 122 Explanation: Given the three mixtures ratio as (1:2),(2:3),(3:4) (1+2),(2+3),(3+4) Total content = 3,5,7   Given equal quantities of the three mixtures are mixed, then LCM of 3, 5, 7 = 105 105/3 = 35 , 105/5 = 21 , 105/7 = 15   Now, the individual equal quantity ratios are (35x1, 35x2), (21x2, 21x3), (15x3, 15x4)  i.e (35,70), (42,63), (45,60)   So overall mixture ratio of milk and water is 35+42+45 : 70+63+60 122:193   But in the question asked the ratio of water to milk = 193 : 122

Q: Which sentence is Punctuated correctly? 3625 0

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    The conference was only supposed to be an hour; however, it ran for nearly two and half hours.
    Correct
    Wrong
  • 2
    The conference was only supposed to be an hour, however; it ran for nearly two and half hours.
    Correct
    Wrong
  • 3
    The conference was only supposed to be an hour. however, it ran for nearly two and half hours.
    Correct
    Wrong
  • 4
    The conference was only supposed to be an hour; however it ran for nearly two and half hours.
    Correct
    Wrong
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Answer : 1. "The conference was only supposed to be an hour; however, it ran for nearly two and half hours."
Explanation :

Answer: A) The conference was only supposed to be an hour; however, it ran for nearly two and half hours. Explanation: The correct punctuated sentence is A The conference was only supposed to be an hour; however, it ran for nearly two and half hours.

Q: Joel introduces Mary as the daughter of the only son of my father’s wife. How is Joel related to Mary ? 3620 0

  • 1
    Daughter
    Correct
    Wrong
  • 2
    Brother
    Correct
    Wrong
  • 3
    Son
    Correct
    Wrong
  • 4
    Father
    Correct
    Wrong
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Answer : 4. "Father"
Explanation :

Answer: D) Father Explanation: Resolving from the last , In the view of joel,My father’s wife – motherOnly son of mother – himself i.e. joelDaughter of john– daughter. So Joel is Father of Mary.

Q: The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8,748, its purchase price was ? 3614 0

  • 1
    Rs.14,000
    Correct
    Wrong
  • 2
    Rs.12,000
    Correct
    Wrong
  • 3
    Rs. 12,800
    Correct
    Wrong
  • 4
    Rs. 15,000
    Correct
    Wrong
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Answer : 2. "Rs.12,000"
Explanation :

Answer: B) Rs.12,000 Explanation: We have P = 8748, R = -10 and n = 3Therefore, the purchase price of the machine= P1+R100n= 87481-101003= 8748 x (100/90) x (100/90) x (100/90)= 12,000.   Therefore, the purchase price of the machine was Rs. 12,000.

Q: A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ? 3614 0

  • 1
    31 min
    Correct
    Wrong
  • 2
    29 min
    Correct
    Wrong
  • 3
    28 min
    Correct
    Wrong
  • 4
    30 min
    Correct
    Wrong
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Answer : 4. "30 min"
Explanation :

Answer: D) 30 min Explanation: Part filled by (A + B) in 1 minute = (1/60 + 1/40) = 1/24Suppose the tank is filled in x minutes.Then, x/2(1/24 + 1/40) = 1(x/2) * (1/15) = 1 => x = 30 min.

Q: Mother’s age today is thrice as her daughter’s. After 10 years it would be just double. How old is the daughter today ? 3605 0

  • 1
    8 years
    Correct
    Wrong
  • 2
    9 years
    Correct
    Wrong
  • 3
    10 years
    Correct
    Wrong
  • 4
    11 years
    Correct
    Wrong
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Answer : 3. "10 years"
Explanation :

Answer: C) 10 years Explanation: Let the age of the daughter today be ‘x’ years. Mother’s age today = 3x years After 10 years, we have 3x + 10 = 2(x + 10) x = 10 years.

Q: A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in  ? 3603 0

  • 1
    17 + 4/7 days
    Correct
    Wrong
  • 2
    13 + 1/3 days
    Correct
    Wrong
  • 3
    15 + 3/2 days
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 2. "13 + 1/3 days"
Explanation :

Answer: B) 13 + 1/3 days Explanation: C alone can finish the work in 40 days.As given C does half as much work as A and B together => (A + B) can do it in 20 days(A + B)s 1 days wok = 1/20.A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given)A's 1 day’s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2]B's 1 days work = (1/20) x (2/3) = 1/30(A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40 All the three together will finish it in 40/3 = 13 and 1/3 days.

Q: fifteen persons are sitting around a circular table facing the centre. What is the probability that three particular persons sit together ? 3600 0

  • 1
    3/91
    Correct
    Wrong
  • 2
    2/73
    Correct
    Wrong
  • 3
    1/91
    Correct
    Wrong
  • 4
    3/73
    Correct
    Wrong
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Answer : 1. "3/91"
Explanation :

Answer: A) 3/91 Explanation: In a circle of n different persons, the total number of arrangements possible = (n - 1)!Total number of arrangements = n(S) = (15 – 1)! = 14 !Taking three persons as a unit, total persons = 13 (in 4 units)Therefore no. of ways for these 13 persons to around the circular table = (13 - 1)! = 12!In any given unit, 3 particular person can sit in 3!. Hence total number of ways that any three person can sit =n(E) = 12! X 3!Therefore P (E) = probability of three persons sitting together = n(E) / n(S) = 12! X 3 ! / 14!= 12!x3x2 / 14x13x12! = 6/14x13 = 3/91

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