GATE Practice Question and Answer
8Q: If log72 = m, then log4928 is equal to ? 2676 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: 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 ? 2670 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: Oxygen in our blood is transported by a protein named 2669 05b5cc696e4d2b4197774c551
5b5cc696e4d2b4197774c551- 1keratinfalse
- 2myoglobifalse
- 3collagenfalse
- 4haemoglobintrue
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Answer : 4. "haemoglobin"
Explanation :
Answer: D) haemoglobin Explanation: Oxygen in our blood is transported by a protein named Haemoglobin.
Q: The cost of 7 tables and 12 chairs is Rs 48,250. What is the cost of 21 tables and 36 chairs ? 2667 05b5cc718e4d2b4197774f4cc
5b5cc718e4d2b4197774f4cc- 1Rs. 1,44,750true
- 2Rs. 2,35,745false
- 3Rs. 89,489false
- 4Rs.74,256false
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Answer : 1. "Rs. 1,44,750"
Explanation :
Answer: A) Rs. 1,44,750 Explanation: 3T+12C = 48,250----(1) 21T+36C = ? multiply eq (1) with 3i.e,, 3(7T+12C) = 48,250*321T+36C = 1,44,750/-
Q: On 24th Nov, 2007 Thursday falls. What day of the week was it on 10th Nov, 2006 ? 2665 05b5cc75ce4d2b4197774fc20
5b5cc75ce4d2b4197774fc20- 1Wednesdaytrue
- 2Tuesdayfalse
- 3Fridayfalse
- 4Thursdayfalse
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Answer : 1. "Wednesday"
Explanation :
Answer: A) Wednesday Explanation: The year 2006 is an ordinary year. So, it has 1 odd day.So, the day on 24th Nov, 2007 will be 1 day beyond the day on 24th Nov, 2006.But, 24th Nov, 2007 is Thursday. 24 - 10 = 14 days. Therefore, 2 weeks ago it is same day. Thus, 10th Nov, 2006 is one day before 10th Nov, 2007 i.e. it is Wednesday.
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 ? 2664 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: Two Fathers and Two Sons walk into a ice cream parlour. They each buy something for Rs. 50 but they only spent Rs. 150. How is that possible? 2663 05b5cc6b3e4d2b4197774d413
5b5cc6b3e4d2b4197774d413- Show AnswerHide Answer
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Answer :
Explanation :
One grandfather, One father and One son makes two fathers and two sons.
Q: Size of the primary memory of a pc ranges between 2662 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.