GATE Practice Question and Answer
8Q: What is an error in a program called 2473 05b5cc66de4d2b4197774bfbb
5b5cc66de4d2b4197774bfbb- 1Power failfalse
- 2Crashfalse
- 3Virusfalse
- 4Bugtrue
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Answer : 4. "Bug"
Explanation :
Answer: D) Bug Explanation: In computer technology, a coding error in a computer program is called a bug.
Q: A trader mixes 36 kg of rice at Rs. 20 per kg with 14 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is: 2472 05b5cc76ae4d2b4197774fe4a
5b5cc76ae4d2b4197774fe4a- 125%false
- 221.14%false
- 322.54%true
- 427.32%false
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Answer : 3. "22.54%"
Explanation :
Answer: C) 22.54% Explanation: C.P. of 50 kg rice = Rs. (36 x 20 + 14 x 36) = Rs. (720 + 504) = Rs.1224. S.P. of 56 kg rice = Rs. (50 x 30) = Rs.1500. Profit = 1500 - 1224 = Rs.276 Profit % = ProfitC.P×100 = 2761224×100 = 22.54%.
Q: A box contains 4 different black balls, 3 different red balls and 5 different blue balls. In how many ways can the balls be selected if every selection must have at least 1 black ball and one red ball ? 2472 05b5cc6f4e4d2b4197774f004
5b5cc6f4e4d2b4197774f004- 124 - 1false
- 22425-1false
- 3(24-1)(23-1)25true
- 4Nonefalse
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Answer : 3. "(24-1)(23-1)25"
Explanation :
Answer: C) C Explanation: It is explicitly given that all the 4 black balls are different, all the 3 red balls are different and all the 5 blue balls are different. Hence this is a case where all are distinct objects. Initially let's find out the number of ways in which we can select the black balls. Note that at least 1 black ball must be included in each selection. Hence, we can select 1 black ball from 4 black ballsor 2 black balls from 4 black balls.or 3 black balls from 4 black balls.or 4 black balls from 4 black balls. Hence, number of ways in which we can select the black balls = 4C1 + 4C2 + 4C3 + 4C4= 24-1 ........(A) Now let's find out the number of ways in which we can select the red balls. Note that at least 1 red ball must be included in each selection. Hence, we can select 1 red ball from 3 red ballsor 2 red balls from 3 red ballsor 3 red balls from 3 red balls Hence, number of ways in which we can select the red balls= 3C1 + 3C2 + 3C3=23-1........(B) Hence, we can select 0 blue ball from 5 blue balls (i.e, do not select any blue ball. In this case, only black and red balls will be there)or 1 blue ball from 5 blue ballsor 2 blue balls from 5 blue ballsor 3 blue balls from 5 blue ballsor 4 blue balls from 5 blue ballsor 5 blue balls from 5 blue balls. Hence, number of ways in which we can select the blue balls= 5C0 + 5C1 + 5C2 + … + 5C5= 25..............(C) From (A), (B) and (C), required number of ways= 2524-123-1
Q: If log72 = m, then log4928 is equal to ? 2470 05b5cc761e4d2b4197774fd5d
5b5cc761e4d2b4197774fd5d- 11/(1+2m)false
- 2(1+2m)/2true
- 32m/(2m+1)false
- 4(2m+1)/2mfalse
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Answer : 2. "(1+2m)/2"
Explanation :
Answer: B) (1+2m)/2 Explanation: log4928 = 12log77×4 = 12+122log72= 12+log72= 12 + m= 1+2m2.
Q: What is the ratio of 18 minutes to one hour ? 2468 05b5cc6bfe4d2b4197774da24
5b5cc6bfe4d2b4197774da24- 11/5false
- 23/4false
- 31/7false
- 43/10true
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Answer : 4. "3/10"
Explanation :
Answer: D) 3/10 Explanation: One hour = 60 min 18/60 = 3/10
Q: Read the following puzzle carefully, answer the question asked below ? Seven person K, L, M, N, O, P & Q likes seven colours. Yellow, White, Red, Orange, Blue, Gray and Black. They visit in different days starting from Monday to Sunday. 1) K visits one day after Thursday. 2) Only 4 people are in between K and L 3) The one who likes Red colour visits immediately after L. 4) Only one person visit between Red and Blue 5) The one who like white colour visit before one of days on which day M visits 6) The one who like white colour does not visit on Monday. 7) Only 1 person is in between N and O. N like Yellow. 8) There are same as many person in between K and Blue colour which are one less in between L and M. 9) Neither Q nor P likes Black. 10) Q does not visit on Saturday and does not like grey colour. Question : Who visits on Sunday and Tuesday and their favourite colors ? 2461 15b5cc6c2e4d2b4197774dba0
5b5cc6c2e4d2b4197774dba0- 1P & Mfalse
- 2N & Kfalse
- 3K & Ltrue
- 4P & Qfalse
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Answer : 3. "K & L"
Explanation :
Answer: C) K & L Explanation: Monday - N - Yellow Tuesday - L - White Wednesday - O - Red Thursday - Q - Orange Friday - M - Blue Saturday - P - Grey Sunday - K - Black From the above table, K & L visits Sunday & Tuesday and their favourite colors are Black and white respectively.
Q: If a Siren sounds for every 5 seconds, how many times will it sound in ¾ of an hour? 2459 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: In how many ways the word 'SCOOTY' can be arranged such that 'S' and 'Y' are always at two ends? 2459 05b5cc619e4d2b4197774b705
5b5cc619e4d2b4197774b705- 1720false
- 2360false
- 3120false
- 424true
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Answer : 4. "24"
Explanation :
Answer: D) 24 Explanation: Given word is SCOOTY ATQ, Except S & Y number of letters are 4(C 2O's T) Hence, required number of arrangements = 4!/2! x 2! = 4! = 4 x 3 x 2 = 24 ways.

