GATE Practice Question and Answer

Q: How many four digit even numbers can be formed using the digits {2, 7, 5, 3, 9, 1} ? 2291 0

  • 1
    59
    Correct
    Wrong
  • 2
    60
    Correct
    Wrong
  • 3
    61
    Correct
    Wrong
  • 4
    64
    Correct
    Wrong
  • Show Answer
  • Workspace

Answer : 2. "60"
Explanation :

Answer: B) 60 Explanation: The given digits are 1, 2, 3, 5, 7, 9   A number is even when its units digit is even. Of the given digits, two is the only even digit.Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways.   Number of even numbers = ⁵P₃ = 60.

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 ? 2287 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
  • Show Answer
  • Workspace

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: If a quarter kg of carrots costs 60 paise, how many paise will 200 gms cost ? 2286 0

  • 1
    78 paise
    Correct
    Wrong
  • 2
    48 paise
    Correct
    Wrong
  • 3
    54 paise
    Correct
    Wrong
  • 4
    62 paise
    Correct
    Wrong
  • Show Answer
  • Workspace

Answer : 2. "48 paise"
Explanation :

Answer: B) 48 paise Explanation: Quarter of Kg means 250 gm Less weight, less price (Direct Proportion) So, 250 : 200 :: 60 : x => x = 48 So 200 gm will cost 48 paise.

Q: Size of the primary memory of a pc ranges between 2282 0

  • 1
    256 kb to 640 kb
    Correct
    Wrong
  • 2
    64 kb to 256 kb
    Correct
    Wrong
  • 3
    256 kb to 512 kb
    Correct
    Wrong
  • 4
    2 kb to 8 kb
    Correct
    Wrong
  • Show Answer
  • Workspace

Answer : 1. "256 kb to 640 kb"
Explanation :

Answer: A) 256 kb to 640 kb Explanation: Size of the primary memory of a PC ranges between 256 KB to 640 KB.

Q: If a Siren sounds for every 5 seconds, how many times will it sound in ¾ of an hour? 2276 0

  • 1
    541 times
    Correct
    Wrong
  • 2
    540 times
    Correct
    Wrong
  • 3
    450 times
    Correct
    Wrong
  • 4
    275 times
    Correct
    Wrong
  • Show Answer
  • Workspace

Answer : 1. "541 times"
Explanation :

Answer: A) 541 times Explanation: There are 60 minutes in an hour. In ¾ of an hour there are (60 × ¾) minutes = 45 minutes. In ¾ of an hour there are (60 × 45) seconds = 2700 seconds. Siren sounds for every 5 seconds. In 2700 seconds = 2700/5 = 540 times. The count start after the first sound, the Siren will sound 541 times in ¾ of an hour.

Q: A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is  ? 2275 0

  • 1
    63
    Correct
    Wrong
  • 2
    31
    Correct
    Wrong
  • 3
    16
    Correct
    Wrong
  • 4
    27
    Correct
    Wrong
  • Show Answer
  • Workspace

Answer : 2. "31"
Explanation :

Answer: B) 31 Explanation: To get the least number of coconuts :LCM = 30 => 30 + 1 = 31

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 ? 2274 0

  • 1
    404
    Correct
    Wrong
  • 2
    415
    Correct
    Wrong
  • 3
    418
    Correct
    Wrong
  • 4
    420
    Correct
    Wrong
  • Show Answer
  • Workspace

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

  • Show Answer
  • Workspace

Answer : 2. "72/5 days"
Explanation :

Answer: B) 72/5 days Explanation: Work done by Shyam and Rahim in 8 days = 8/32 = 1/4 Remaining work to be done by Shyam and Ram = 1 - 1/4 = 3/4 Given efficieny of Ram is half of Rahim i.e, as Rahim can do the work in 48 days, Ram can do the work in 24 days. One day work of Ram and Shyam = (1/32 - 1/48) + 1/24 = 5/96 Hence, the total work can be done by Shyam and Ram together in 96/5 days.   Therefore, remaining work 3/4 can be done by them in 3/4 x 96/5 = 72/5 = 14.4 days.

  Report Error

Please Enter Message
Error Reported Successfully

  Report Error

Please Enter Message
Error Reported Successfully

  Report Error

Please Enter Message
Error Reported Successfully

  Report Error

Please Enter Message
Error Reported Successfully

  Report Error

Please Enter Message
Error Reported Successfully

  Report Error

Please Enter Message
Error Reported Successfully

  Report Error

Please Enter Message
Error Reported Successfully

  Report Error

Please Enter Message
Error Reported Successfully