GATE Practice Question and Answer
8Q: Simplify the following : 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28 ? 3006 05b5cc6cae4d2b4197774dffc
5b5cc6cae4d2b4197774dffc- 1100true
- 21false
- 34false
- 40false
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Answer : 1. "100"
Explanation :
Answer: A) 100 Explanation: Given 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28 It is in the form of a3+b3+c3-3abca2+b2+c2-ab-bc-ca= a + b + c Here a = 37, b = 35 & c = 28 => a + b + c = 37 + 35 + 28 = 100 Therefore, = 100
Q: Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y ? 3003 05b5cc6d8e4d2b4197774e7c6
5b5cc6d8e4d2b4197774e7c6- 1360 mfalse
- 2420 mtrue
- 3460 mfalse
- 4320 mfalse
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Answer : 2. "420 m"
Explanation :
Answer: B) 420 m Explanation: Let the length of the stationary train Y be LY Given that length of train X, LX = 300 m Let the speed of Train X be V. Since the train X crosses train Y and a pole in 60 seconds and 25 seconds respectively. => 300/V = 25 ---> ( 1 ) (300 + LY) / V = 60 ---> ( 2 ) From (1) V = 300/25 = 12 m/sec. From (2) (300 + LY)/12 = 60 => 300 + LY = 60 (12) = 720 => LY = 720 - 300 = 420 m Length of the stationary train = 420 m
Q: A computer consists of 2986 05b5cc61ee4d2b4197774b7b0
5b5cc61ee4d2b4197774b7b0- 1motherboardfalse
- 2hard disk drivefalse
- 3central processing unitfalse
- 4All of the abovetrue
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Answer : 4. "All of the above"
Explanation :
Answer: D) All of the above Explanation: A computer system consists of a computer case, a power supply unit, a motherboard, a central processing unit (CPU), main memory, and a hard disk drive. Input devices include a keyboard, mouse, microphone, video camera, and image scanner. Output devices include a monitor, speakers, and a printer.
Q: Genuine : Authentic : : Mirage : ? 2981 05b5cc696e4d2b4197774c599
5b5cc696e4d2b4197774c599- 1Transpirationfalse
- 2Illusiontrue
- 3Reflectionfalse
- 4Imagefalse
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Answer : 2. "Illusion"
Explanation :
Answer: B) Illusion Explanation: Here the given pair of words are related in such a way that they are synonyms. That is Genuine and Authentic are synonyms and similarly, Mrage and illusion are synonyms. Hence, Genuine : Authentic : : Mirage : Illusion.
Q: What is the 13th letter of the English Alphabet? 2980 05b5cc6b5e4d2b4197774d52f
5b5cc6b5e4d2b4197774d52f- 1M & Ntrue
- 2M & Mfalse
- 3N & Nfalse
- 4N & Lfalse
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Answer : 1. "M & N"
Explanation :
Answer: A) M & N Explanation: There are 26 English Alphabets. They are: A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z. Therefore, from the left end the 13th letter is M and is Consonent. And from the right end the 13th letter is N and is Consonent.
Q: Jagan went to another town covering 240 km by car moving at 60 kmph. Then he covered 400km by train moving at 100 kmph and then rest 200 km he covered by a bus moving at 50 kmph. The average speed during the whole journey was ? 2977 05b5cc705e4d2b4197774f244
5b5cc705e4d2b4197774f244- 136 kmphfalse
- 235 kmphfalse
- 372 kmphfalse
- 470 kmphtrue
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Answer : 4. "70 kmph"
Explanation :
Answer: D) 70 kmph Explanation: By car 240 km at 60 kmphTime taken = 240/60 = 4 hr. By train 240 km at 60 kmphTime taken = 400/100 = 4 hr. By bus 240 km at 60 kmphTime taken = 200/50 = 4 hr. So total time = 4 + 4 + 4 = 12 hr. and total speed = 240+400+200 = 840 kmAverage speed of the whole journey = 840/12 = 70 kmph.
Q: How long have i been alive? 2971 05b5cc6a5e4d2b4197774ccaf
5b5cc6a5e4d2b4197774ccaf- Show AnswerHide Answer
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Answer :
Explanation :
This is a different way of asking your age. It can be how long you have been living in days weeks months and years since your birth date.
Q: P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together ? 2964 05b5cc6d8e4d2b4197774e737
5b5cc6d8e4d2b4197774e737- 15 (2/3)false
- 26 (3/4 )false
- 34 (1/2)true
- 43false
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Answer : 3. "4 (1/2)"
Explanation :
Answer: C) 4 (1/2) Explanation: Work done by P alone in one day = 1/6th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/6 of the total) = 1/18 of the total. Work done by P and Q, working together in one day = 1/6 + 1/18 = 4/18 = 2/9 They would take 9/2 days = 4 (1/2) days to complete the work working together.

