GATE Practice Question and Answer

Q: The ratio of male and female in a city is 7 : 8 respectively and percentage of children among male and female is 25 and 20 respectively. If number of adult females is 156800, what is the total population of the city? 2914 0

  • 1
    4,12,480
    Correct
    Wrong
  • 2
    3,67,500
    Correct
    Wrong
  • 3
    5,44,700
    Correct
    Wrong
  • 4
    2,98,948
    Correct
    Wrong
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Answer : 2. "3,67,500"
Explanation :

Answer: B) 3,67,500 Explanation: Let the total population be 'p' Given ratio of male and female in a city is 7 : 8 In that percentage of children among male and female is 25% and 20% => Adults male and female % = 75% & 80% But given adult females is = 156800 => 80%(8p/15) = 156800 => 80 x 8p/15 x 100 = 156800 => p = 156800 x 15 x 100/80 x 8 => p = 367500 Therefore, the total population of the city = p = 367500

Q: A periscope works by the principle of 2914 0

  • 1
    Total internal reflection
    Correct
    Wrong
  • 2
    Refraction
    Correct
    Wrong
  • 3
    Diffraction
    Correct
    Wrong
  • 4
    Reflection & Refraction
    Correct
    Wrong
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Answer : 1. "Total internal reflection"
Explanation :

Answer: A) Total internal reflection Explanation: A periscope is an optical instrument that uses a system of prisms, lenses, or mirrors to reflect images through a tube.       Light from a distant object strikes the top mirror and is then reflected at an angle of 90 degrees down the periscope tube. At the bottom of the periscope, the light strikes another mirror and is then reflected into the viewer’s eye.   Hence, A periscope works by the principle of Total internal reflection.

Q: What is 90 days from today?   Hints : Today is 20th January 2017, Sunday 2911 0

  • 1
    18th April, Friday
    Correct
    Wrong
  • 2
    20th April, Saturday
    Correct
    Wrong
  • 3
    21th April, Sunday
    Correct
    Wrong
  • 4
    19th April, Saturday
    Correct
    Wrong
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Answer : 2. "20th April, Saturday"
Explanation :

Answer: B) 20th April, Saturday Explanation: Given Today is 20th January 2017, Sunday In january, we have 31 days February - 28 days (Non leap year) March - 31 days April - 30 days => Remaining days => 31 - 20 = 11 in Jan + 28 in Feb + 31 in Mar = 11 + 28 + 31 = 70 days More 20 days to complete 90 days => upto 20th April   Therefore, after 90 days from today i.e, 20th Jan 2017 is 20th Apr 2017.   Now, the day of the week will be  90/7 => Remainder '6' As the day starts with '0' on sunday  6 => Saturday.   Required day is 20th April, Saturday.

Q: A train moving at 2/3 rd of its normal speed reaches its destination 20 minutes late. Find the normal time taken ? 2896 0

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

Answer: B) 2/3 hrs Explanation: Let the original speed and time is S and Tthen distance = S x TNow the speed changes to 2/3S and T is T+20As the distance is sameS x T = 2/3Sx(T+20)solving this we get t = 40 minutes =40/60 = 2/3 hour

Q: _ tu _ rt _ s _ _ usrtu _ 2877 0

  • 1
    rsutrr
    Correct
    Wrong
  • 2
    rsurtr
    Correct
    Wrong
  • 3
    rsurts
    Correct
    Wrong
  • 4
    rtusru
    Correct
    Wrong
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Answer : 3. "rsurts"
Explanation :

Answer: C) rsurts Explanation: The series rtus/rtus/rtus/rtus. Thus, the pattern 'rtus' is repeated.

Q: Rs. 7444 is divided among 5 ladies, 3 gents and 3 girls. The ratio of share of a lady, a gents and a girl is 7: 4: 3. What is the share of gents ? 2875 0

  • 1
    Rs. 1595.14
    Correct
    Wrong
  • 2
    Rs. 1793.4
    Correct
    Wrong
  • 3
    Rs. 595.14
    Correct
    Wrong
  • 4
    Rs. 1551.5
    Correct
    Wrong
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Answer : 1. "Rs. 1595.14"
Explanation :

Answer: A) Rs. 1595.14 Explanation: Ratio of the share of a lady, a gents and a girl is 7 : 4 : 3No of ladies, gents and girls are 5, 3, 3Thus effective ratio of ladies, gents and girls is 7 x 5 : 4 x 3 : 3 x 3 = 35 : 12 : 9so part of gents = (12/56) x 7444 = Rs. 1595.142so part of 1 gents = 1595.142/3 = Rs. 531.71.

Q: A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ? 2874 0

  • 1
    142
    Correct
    Wrong
  • 2
    175
    Correct
    Wrong
  • 3
    212
    Correct
    Wrong
  • 4
    253
    Correct
    Wrong
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Answer : 4. "253"
Explanation :

Answer: D) 253 Explanation: The first person shakes hands with 22 different people, the second person also shakes hands with 22 different people, but one of those handshakes was counted in the 22 for the first person, so the second person actually shakes hands with 21 new people. The third person, 20 people, and so on... So, 22 + 21 + 20 + 19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1= n(n+1)/2 = 22 x 23 /2 = 11 x 23 = 253.

Q: Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest ? 2864 0

  • 1
    20% p.a
    Correct
    Wrong
  • 2
    15% p.a
    Correct
    Wrong
  • 3
    18% p.a
    Correct
    Wrong
  • 4
    24% p.a
    Correct
    Wrong
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Answer : 1. "20% p.a"
Explanation :

Answer: A) 20% p.a Explanation: Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year. Rate of interest = (100 x 240) / (1200) = 20% p.a

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