GATE Practice Question and Answer

Q: 5% people of a village in India died by dengue, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning ? 2228 0

  • 1
    4400
    Correct
    Wrong
  • 2
    3100
    Correct
    Wrong
  • 3
    2800
    Correct
    Wrong
  • 4
    5600
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "4400"
Explanation :

Answer: A) 4400 Explanation: Let 'P' be the original population at the beginning P x (95/100) x (85/100) = 3553 P = 4400.

Q: How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even ? 2224 0

  • 1
    521
    Correct
    Wrong
  • 2
    720
    Correct
    Wrong
  • 3
    420
    Correct
    Wrong
  • 4
    225
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "720"
Explanation :

Answer: B) 720 Explanation: Let last digit is 2when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways.so for last digit = 2, total numbers=240   Similarly for 4 and 6When last digit = 4, total no. of ways =240and last digit = 6, total no. of ways =240so total of 720 even numbers are possible.

Q: Find the next number in the given number series? 96, 95, 87, 78, ? 2224 0

  • 1
    64
    Correct
    Wrong
  • 2
    57
    Correct
    Wrong
  • 3
    29
    Correct
    Wrong
  • 4
    14
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "14"
Explanation :

Answer: D) 14 Explanation: The given number series is 96, 95, 87, 78, ?  It follows a pattern that, 9696 - 12 = 9595 - 23 = 95 - 8 = 8787 - 32 = 87 - 9 = 7878 - 43 = 78 - 64 = 14   Hence, the next number in the given number series is 14.

Q: In the following sentence, Find out which pair of words can be filled in the blanks in order to make a meaningful sentence. A four - year - old girl ______ her life after she was _____ from a 400 ft bore well she had slipped into. 2222 0

  • 1
    Default, released
    Correct
    Wrong
  • 2
    Made, treated
    Correct
    Wrong
  • 3
    Maintained, sustained
    Correct
    Wrong
  • 4
    Lost, rescued
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "Lost, rescued"
Explanation :

Answer: D) Lost, rescued Explanation: Lost, rescued are the words which gives meaning to the sentence. For other options: Default - Fail Sustained - suffered  are suitable and correct pairs.

Q: Where are saved files stored in computer ? 2208 0

  • 1
    Hard disk
    Correct
    Wrong
  • 2
    Cache
    Correct
    Wrong
  • 3
    RAM
    Correct
    Wrong
  • 4
    Any of above
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "Hard disk"
Explanation :

Answer: A) Hard disk Explanation: Most operating systems store files on a hard disk.

Q: How many zeros are there from 1 to 10000 ? 2202 0

  • 1
    2893
    Correct
    Wrong
  • 2
    4528
    Correct
    Wrong
  • 3
    6587
    Correct
    Wrong
  • 4
    4875
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "2893"
Explanation :

Answer: A) 2893 Explanation: For solving this problem first we would break the whole range in 5 sections 1) From 1 to 9Total number of zero in this range = 0 2) From 10 to 99Total possibilities = 9*1 = 9 ( here 9 is used for the possibilities of a non zero integer) 3) From 100 to 999 - three type of numbers are there in this range a) x00 b) x0x c) xx0 (here x represents a non zero number)Total possibilities for x00 = 9*1*1 = 9, hence total zeros = 9*2 = 18for x0x = 9*1*9 = 81, hence total zeros = 81similarly for xx0 = 81 total zeros in three digit numbers = 18 + 81 +81 = 180 4) From 1000 to 9999 - seven type of numbers are there in this rangea)x000 b)xx00 c)x0x0 d)x00x e)xxx0 f)xx0x g)x0xxTotal possibilities for x000 = 9*1*1*1 = 9, hence total zeros = 9*3 = 27 for xx00 = 9*9*1*1 = 81, hence total zeros = 81*2 = 162 for x0x0 = 9*1*9*1 = 81, hence total zeros = 81*2 = 162for x00x = 9*1*1*9 = 81, hence total zeros = 81*2 = 162 for xxx0 = 9*9*9*1 = 729, hence total zeros = 729*1 = 729for xx0x = 9*9*1*9 = 729, hence total zeros = 729*1 = 729for x0xx = 9*1*9*9 = 729, hence total zeros = 729*1 = 729total zeros in four digit numbers = 27 + 3*162 + 3*729 = 2700thus total zeros will be 0+9+180+2700+4 (last 4 is for 4 zeros of 10000)= 2893

  • Show AnswerHide Answer
  • Workspace

Answer : 3. "Either b alone or a & b follows"
Explanation :

Answer: C) Either b alone or a & b follows Explanation: From statement (b)Average of 11 players = 11 x 28 = 308Average of 10 players = 10 x 27.3 = 273Age of captain = 308 - 273 = 35. From the Statement (a) we can say that captain's age (C) = y + 11 ...(1) where y-youngers ageFrom the statement (c),the averge age of 3groups of 3players each was given,It means total 9 players age was given indirectly,1st group: 25 x 3 = 752nd group: 28 x 3 = 843rd group: 30 x 3 = 90Total  is 75 + 84 + 90 = 249Now {C + Y + (9 players age sum)}/11 = 28Y + 11 + Y + (249) = 28 x 11=3082Y+260=3082Y = 308-260 = 40 ==> Y=24 ==> C(captain's age)= Y+11 = 24+11 = 35 Therefore, statement b alone or a & c only is the answer.

Q: Two motor bikes cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower bike takes 1 hour more than the faster bike ? 2197 0

  • 1
    1102 km
    Correct
    Wrong
  • 2
    1060 km
    Correct
    Wrong
  • 3
    960 km
    Correct
    Wrong
  • 4
    1250 km
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "960 km"
Explanation :

Answer: C) 960 km Explanation: 60(x + 1) = 64x X = 15 60 x 16 = 960 km

      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