GATE Practice Question and Answer

Q: 12 year old Manish is three times as old as his brother Rajeev. How old will Manish be when he is twice as old as Rajeev ? 2749 0

  • 1
    12 yrs
    Correct
    Wrong
  • 2
    14 yrs
    Correct
    Wrong
  • 3
    16 yrs
    Correct
    Wrong
  • 4
    18 yrs
    Correct
    Wrong
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Answer : 3. "16 yrs"
Explanation :

Answer: C) 16 yrs Explanation: 12 year old Manish is three times as old as his brother Rajeev who must be 4 years old.Diff in ages = 8 years.when Rajeev will become 8 years old, Manish will be 16 yrs old and he will be twice as old as Rajeev.

Q: Find out the wrong term in the given series of numbers ?6, 15, 35, 77, 165, 221 2747 0

  • 1
    35
    Correct
    Wrong
  • 2
    165
    Correct
    Wrong
  • 3
    221
    Correct
    Wrong
  • 4
    77
    Correct
    Wrong
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Answer : 2. "165"
Explanation :

Answer: B) 165 Explanation: The given series follow the rule that : Multiplying consecutive prime numbers2,3,5,7,11,13,17,19....2x3 = 63x5 = 155x7 = 357x11 = 7711x13 = 14313x17 = 221So, the wrong term is 165.

Q: Karthik read 613 th of a book in 1st week and 59 th of the remaining book in 2nd week. If there were 100 pages unread after 2nd week, how many pages were there in the book ? 2745 0

  • 1
    404
    Correct
    Wrong
  • 2
    415
    Correct
    Wrong
  • 3
    418
    Correct
    Wrong
  • 4
    420
    Correct
    Wrong
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Answer : 3. "418"
Explanation :

Answer: C) 418 Explanation: Let the total book be 1 Then, in the 1st week 613th of book is read i.e remaining pages =  1-613=713 in 2nd week he read 59th of it i.e 59×713=35117Remaining pages after 2nd week = 713-35117=28117 But given remaining pages after 2nd week = 100   28x117=100 --> x = 418   The total pages in the book are 418

Q: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ? 2744 0

  • 1
    1 : 2 : 3
    Correct
    Wrong
  • 2
    2 : 3 : 4
    Correct
    Wrong
  • 3
    3: 4 : 5
    Correct
    Wrong
  • 4
    4 : 5 : 6
    Correct
    Wrong
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Answer : 2. "2 : 3 : 4"
Explanation :

Answer: B) 2 : 3 : 4 Explanation: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. Seats for Mathematics, Physics and Biology in a school are 5x, 7x and 8x. There is a proposal to increase these seats by 40%, 50% and 75% respectively. Then Seats for Mathematics, Physics and Biology in a school will be 1.4 X 5x, 1.5 X 7x and 1.75 X 8x and ratio will be 7 : 10.5 : 14  => 2:3:4.

Q: A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook ? 2742 0

  • 1
    15
    Correct
    Wrong
  • 2
    20
    Correct
    Wrong
  • 3
    10
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 3. "10"
Explanation :

Answer: C) 10 Explanation: Let the price of each note book be Rs.x. Let the number of note books which can be brought for Rs.300 each at a price of Rs.x be y. Hence xy = 300 => y = 300/x (x + 5)(y - 10) = 300 => xy + 5y - 10x - 50 = xy =>5(300/x) - 10x - 50 = 0 => -150+x2+5x multiplying both sides by -1/10x => x2+15x-10x-150=0 => x(x + 15) - 10(x + 15) = 0 => x = 10 or -15 As x>0, x = 10.

Q: Statements :-    All kids are God.   No God is a Human.   Some Human are Son.   All Son are Men.   Conclusions :-    (a) Some Son are not God.   (b) Some Men are Human. 2734 0

  • 1
    Only A follows
    Correct
    Wrong
  • 2
    Only B follows
    Correct
    Wrong
  • 3
    Both (A) and (B) follows
    Correct
    Wrong
  • 4
    A) and (B) follows D)
    Correct
    Wrong
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Answer : 3. "Both (A) and (B) follows"
Explanation :

Answer: C) Both (A) and (B) follows Explanation:

Q: A train for Fathehpur leaves for every 2 hrs 30 min from Agra station. An announcement was made that train left 37 mins ago and next train comes at 17:00hrs. At what time was the announcement made ? 2732 0

  • 1
    15:07 hrs
    Correct
    Wrong
  • 2
    15:20 hrs
    Correct
    Wrong
  • 3
    15:05 hrs
    Correct
    Wrong
  • 4
    15:00 hrs
    Correct
    Wrong
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Answer : 1. "15:07 hrs"
Explanation :

Answer: A) 15:07 hrs Explanation: Next train comes at 17:00 hrs.So, last train will be = 17:00hrs - 2:30hrs= 14:30hrsAnnouncement made after 37 min of the last train.S0, 14:30hrs + 00:37 min= 15:07 hrs.

Q: A train sets off at 3 p.m. at the speed of 70 kmph. Another train starts at 4:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet ? 2728 0

  • 1
    10:10 pm
    Correct
    Wrong
  • 2
    9:50 pm
    Correct
    Wrong
  • 3
    11:30 pm
    Correct
    Wrong
  • 4
    10:30 pm
    Correct
    Wrong
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Answer : 3. "11:30 pm"
Explanation :

Answer: C) 11:30 pm Explanation: Distance = 70 x 1 ½ = 105 km Relative Speed = 85 – 70 = 15 Time = 105/15 = 7 hrs 4:30 + 7 hrs = 11.30 p.m.

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