GATE Practice Question and Answer
8Q: 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 05b5cc6e0e4d2b4197774eb5c
5b5cc6e0e4d2b4197774eb5c- 14400true
- 23100false
- 32800false
- 45600false
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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 05b5cc731e4d2b4197774f7bf
5b5cc731e4d2b4197774f7bf- 1521false
- 2720true
- 3420false
- 4225false
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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 05b5cc60ae4d2b4197774b5c9
5b5cc60ae4d2b4197774b5c9- 164false
- 257false
- 329false
- 414true
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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 05b5cc6c9e4d2b4197774df6f
5b5cc6c9e4d2b4197774df6f- 1Default, releasedfalse
- 2Made, treatedfalse
- 3Maintained, sustainedfalse
- 4Lost, rescuedtrue
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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 05b5cc69ee4d2b4197774c95b
5b5cc69ee4d2b4197774c95b- 1Hard disktrue
- 2Cachefalse
- 3RAMfalse
- 4Any of abovefalse
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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 05b5cc741e4d2b4197774f9e0
5b5cc741e4d2b4197774f9e0- 12893true
- 24528false
- 36587false
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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
Q: Question : In a cricket team, the average age of eleven players in 28 years. What is the age of the captain? Statements : a. The captain is eleven years older than the youngest player. b. The average age of 10 players, other than the captain is 27.3 years. c. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively. 2200 05b5cc74fe4d2b4197774fb17
5b5cc74fe4d2b4197774fb17- 1All a,b and c followsfalse
- 2Only a and c followsfalse
- 3Either b alone or a & b followstrue
- 4Nonefalse
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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 05b5cc6dce4d2b4197774e992
5b5cc6dce4d2b4197774e992- 11102 kmfalse
- 21060 kmfalse
- 3960 kmtrue
- 41250 kmfalse
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Answer : 3. "960 km"
Explanation :
Answer: C) 960 km Explanation: 60(x + 1) = 64x X = 15 60 x 16 = 960 km