GATE Practice Question and Answer
8Q: If a number 72k23l is divisible by 88. Then find value of k and l ? 2511 05b5cc745e4d2b4197774fa36
5b5cc745e4d2b4197774fa36- 1k=8 & l=2false
- 2k=7 & l=2true
- 3k=8 & l=3false
- 4k=7 & l=1false
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Answer : 2. "k=7 & l=2"
Explanation :
Answer: B) k=7 & l=2 Explanation: If a number to be divisile by 88, it should be divisible by both "8" and "11" Check for '8' :For a number to be divisible by "8", the last 3-digit should be divisible by "8"Here 72x23y --> last 3-digit is '23y'So y=2 [ (i.e) 232 is absolutely divisible by "8"] Chech for '11' :For a number to be divisible by "11" , sum of odd digits - sum of even digits should be divisible by "11"(7 + x + 3) - (2 + 2 + y)(7 + x + 3) - (2 + 2 + 2)(10 + x) - 6 should be divisible by "11"for x = 7=> 17 - 6 = 11 [ which is absolutely divisible by "11"] So x = 7 , y= 2.
Q: Name the IT firm which has created two tools My Business and Digital Unlocked for the small and medium businesses in India, that would help to create an online presence? 2507 05b5cc771e4d2b4197774ff94
5b5cc771e4d2b4197774ff94- 1Googletrue
- 2Facebookfalse
- 3Yahoofalse
- 4Microsoftfalse
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Answer : 1. "Google"
Explanation :
Answer: A) Google Explanation:
Q: What rights does the Declaration of Independence express? 2507 05b5cc672e4d2b4197774c096
5b5cc672e4d2b4197774c096- 1The right to remain silent when interrogated by policefalse
- 2The right to citizenshipfalse
- 3Legal rights of citizenstrue
- 4Human rights of citizens, including life and libertyfalse
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Answer : 3. "Legal rights of citizens"
Explanation :
Answer: C) Legal rights of citizens Explanation: The Declaration of Independence express Legal rights of citizens.
Q: The sum of 3rd and 15th elements of an arithmetic progression is equal to the sum of 6th, 11th and 13th elements of the same progression. Then which element of the series should necessarily be equal to zero ? 2502 15b5cc73ae4d2b4197774f8bf
5b5cc73ae4d2b4197774f8bf- 114th elementfalse
- 29th elementfalse
- 312th elementtrue
- 47th elementfalse
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Answer : 3. "12th element"
Explanation :
Answer: C) 12th element Explanation: If we consider the third term to be ‘x”The 15th term will be (x + 12d)6th term will be (x + 3d)11th term will be (x + 8d) and 13th term will be (x + 10d).Thus, as per the given condition, 2x + 12d = 3x + 21d.Or x + 9d = 0.x + 9d will be the 12th term. Thus, 12th term of the A.P will be zero.
Q: FRIEND : FPIBNZ :: PATRON : ? 2498 05b5cc6b1e4d2b4197774d2fe
5b5cc6b1e4d2b4197774d2fe- 1PTYOPIfalse
- 2PYTOPJfalse
- 3PYTOOJtrue
- 4PYTPOJfalse
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Answer : 3. "PYTOOJ"
Explanation :
Answer: C) PYTOOJ Explanation: FRIEND : FPIBNZ Follows a pattern that, F - F R- second letter to left of R i.e, P I - I E - Third letter to left of E i.e, B N - N D - Fourth letter to left of D i.e, Z Similarly, for PATRON P - P A - second letter to left of A i.e, Y T - T R - Third letter to left of R i.e, O O - O N - Fourth letter to left of N i.e, J PATRON : PYTOOJ Therefore, FRIEND : FPIBNZ :: PATRON : PYTOOJ
Q: In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture? 2498 05b5cc6b2e4d2b4197774d3be
5b5cc6b2e4d2b4197774d3be- 11:1true
- 22:1false
- 33:1false
- 41:2false
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Answer : 1. "1:1"
Explanation :
Answer: A) 1:1 Explanation: Quantity of alohol in the mixture = 40 x 5/8 = 25 lit Quantity of water = 40 - 25 = 15 lit According to question, Required ratio = 20 - 40 x 20100 x 5815 - 40 x 20100 x 38 + 40 x 20100 = 2015 - 3 + 8 = 1 : 1
Q: The absorption of ink by blotting paper involves 2498 05b5cc6a2e4d2b4197774cb7f
5b5cc6a2e4d2b4197774cb7f- 1viscosity of inkfalse
- 2diffusion of ink through the blottingfalse
- 3capillary action phenomenontrue
- 4siphon actionfalse
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Answer : 3. "capillary action phenomenon"
Explanation :
Answer: C) capillary action phenomenon Explanation: The absorption of ink by blotting paper involves capillary action phenomenon because the blotting paper is a thin and a smooth paper which allows a little thicker liquids like ink to absorb.
Q: Rajesh rows in still water with a speed of 4.5 kmph to go to a certain place and comes back. Find his average speed for the whole journey, if the river is flowing with a speed of 1.5 kmph? 2496 05b5cc67ee4d2b4197774c245
5b5cc67ee4d2b4197774c245- 12 kmphfalse
- 24 kmphtrue
- 36 kmphfalse
- 48 kmphfalse
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Answer : 2. "4 kmph"
Explanation :
Answer: B) 4 kmph Explanation: Let the distance in one direction = k kms Speed in still water = 4.5 kmph Speed of river = 1.5 Hence, speed in upstream = 4.5 - 1.5 = 3 kmph Speed in downstream = 4.5 + 1.5 = 6 kmph Time taken by Rajesh to row upwards = k/3 hrs Time taken by Rajesh to row downwards = k/6 hrs Now, required Average speed =Total distanceTotal speed = 2kk3 + k6 = 2k x 186k + 3k = 4 kmph Therefore, the average speed of the whole journey = 4kmph.