GATE Practice Question and Answer

Q: Eighteen years ago, a mother was three times as old as her daughter. Now the mother is only twice as old as her daughter. Then the sum of the present ages of daughter and the mother is ? 1988 0

  • 1
    84 yrs
    Correct
    Wrong
  • 2
    96 yrs
    Correct
    Wrong
  • 3
    116 yrs
    Correct
    Wrong
  • 4
    108 yrs
    Correct
    Wrong
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Answer : 4. "108 yrs"
Explanation :

Answer: D) 108 yrs Explanation: Let the present ages of the mother and daughter be 2x and x years respectively. Then, (2x - 18) = 3(x - 18) => x = 36 Required sum = (2x + x) = 108 years.

Q: The marked price of a Watch is Rs.8400. It is to be sold at Rs.6896 at two successive discounts. If the first discount is 12%, the second discount is ? 1987 0

  • 1
    7.2 %
    Correct
    Wrong
  • 2
    9.14 %
    Correct
    Wrong
  • 3
    7.13 %
    Correct
    Wrong
  • 4
    6.709 %
    Correct
    Wrong
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Answer : 4. "6.709 %"
Explanation :

Answer: D) 6.709 % Explanation: (100-x)%  of 88% of 8400 = 6896   => 100-x10088100x8400 = 6896 => x = 6.709%

Q: Which of the following is the most stable carbocation? 1986 0

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

Answer: C) 2 Explanation: Here the most stable carbocation is the option (2).   Carbocations are always hungry for electrons. The stability of carbocations increases from primary to secondary to tertiary. Here, option (c) shows the most stable carbocation because it can easily withdraw electrons from two other carbon atoms and the more electronegative oxygen atom.   Carbocation stability depends on hyperconjugation. The tertiary carbocation is stabilized by electron releasing inductive effect.

Q: Ram sell his goods 25% cheaper than Shyam and 25% dearer than Bram. How much % is Bram's good cheaper than Shyam ? 1986 0

  • 1
    60%
    Correct
    Wrong
  • 2
    40%
    Correct
    Wrong
  • 3
    50%
    Correct
    Wrong
  • 4
    30%
    Correct
    Wrong
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Answer : 2. "40%"
Explanation :

Answer: B) 40% Explanation: Lets say shyam sells at 100,   Since Ram sells 25% cheaper than Shyam,   Therefor Ram sells at less than 25% of100 or 75 rs.   Ram sells 25% dearer than Bram or 125% of Ram =100% of Bram or   125% of x (say x price of bram )=75rs.or 100% of x =60rs.hence price of bram is 60rs.   now Bram's good is cheaper than Shyam's as (100-60)x100/100% or 40%.   Hence Brams Good is 40% cheaper than that of Shyam's good.

Q: Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour ? 1985 0

  • 1
    2 hrs
    Correct
    Wrong
  • 2
    20 min
    Correct
    Wrong
  • 3
    40 min
    Correct
    Wrong
  • 4
    30 min
    Correct
    Wrong
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Answer : 2. "20 min"
Explanation :

Answer: B) 20 min Explanation: In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages. Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr. stoppage time = 20/60 hrs = 20 min.

Q: What is always coming but never arrives? 1983 0

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Answer :
Explanation :

It is Tomorrow. It always be tomorrow which represents coming but never arrives.

Q: A sum is divided among K, L and M in such a way that for each rupee K gets, L gets 45 paisa and M gets 30 paisa. If the share of L is Rs. 27,  what is the total amount  ? 1983 0

  • 1
    Rs. 159
    Correct
    Wrong
  • 2
    Rs. 96
    Correct
    Wrong
  • 3
    Rs. 147
    Correct
    Wrong
  • 4
    Rs. 105
    Correct
    Wrong
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Answer : 4. "Rs. 105"
Explanation :

Answer: D) Rs. 105 Explanation: K : L : M = 100 : 45 : 30              = 20 : 9 : 6 Given L share is 27 => 9  ------  27      35 ------  ?       => 105

Q: Find the odd man out of the following number sequence? 3, 5, 13, 43, 167 1982 0

  • 1
    167
    Correct
    Wrong
  • 2
    43
    Correct
    Wrong
  • 3
    13
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 1. "167"
Explanation :

Answer: A) 167 Explanation: The given number series is 3, 5, 13, 43, 167 3 3 x 1 + 2 = 5 5 x 2 + 3 = 13 13 x 3 + 4 = 43 43 x 4 + 5 = 177 (not equal to 167)   Hence, the odd number in the given number sequence is 167.

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