GATE Practice Question and Answer
8Q: How many four digit even numbers can be formed using the digits {2, 7, 5, 3, 9, 1} ? 2291 05b5cc6d7e4d2b4197774e705
5b5cc6d7e4d2b4197774e705- 159false
- 260true
- 361false
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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 05b5cc715e4d2b4197774f445
5b5cc715e4d2b4197774f445- 115:07 hrstrue
- 215:20 hrsfalse
- 315:05 hrsfalse
- 415:00 hrsfalse
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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: If a quarter kg of carrots costs 60 paise, how many paise will 200 gms cost ? 2286 05b5cc6d7e4d2b4197774e70a
5b5cc6d7e4d2b4197774e70a- 178 paisefalse
- 248 paisetrue
- 354 paisefalse
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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 05b5cc694e4d2b4197774c4a2
5b5cc694e4d2b4197774c4a2- 1256 kb to 640 kbtrue
- 264 kb to 256 kbfalse
- 3256 kb to 512 kbfalse
- 42 kb to 8 kbfalse
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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 05b5cc76ae4d2b4197774fea3
5b5cc76ae4d2b4197774fea3- 1541 timestrue
- 2540 timesfalse
- 3450 timesfalse
- 4275 timesfalse
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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 05b5cc6d8e4d2b4197774e778
5b5cc6d8e4d2b4197774e778- 163false
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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 05b5cc76fe4d2b4197774ff76
5b5cc76fe4d2b4197774ff76- 1404false
- 2415false
- 3418true
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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: Two persons Shyam and Rahim can do a job in 32 days together. Rahim can do the same job in 48 days alone. They started working together and after working 8 days Rahim is replaced by a third person Ram whose efficiency is half that of Rahim. Find in how many days the remaining work will be completed by both Shyam and Ram together? 2272 05b5cc6a3e4d2b4197774cc20
5b5cc6a3e4d2b4197774cc20- 116 daysfalse
- 272/5 daystrue
- 315 daysfalse
- 496/5 daysfalse
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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.