GATE Practice Question and Answer
8Q: A train sets off at 3 p.m. at the speed of 70 kmph. Another train starts at 4:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet ? 2333 05b5cc6e7e4d2b4197774ed79
5b5cc6e7e4d2b4197774ed79- 110:10 pmfalse
- 29:50 pmfalse
- 311:30 pmtrue
- 410:30 pmfalse
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Answer : 3. "11:30 pm"
Explanation :
Answer: C) 11:30 pm Explanation: Distance = 70 x 1 ½ = 105 km Relative Speed = 85 – 70 = 15 Time = 105/15 = 7 hrs 4:30 + 7 hrs = 11.30 p.m.
Q: A motorboat goes 8 km an hour in still water, but takes thrice as much time in going the same distance against the current than going with the current. Then find the speed of the current? 2332 05b5cc6ace4d2b4197774d09b
5b5cc6ace4d2b4197774d09b- 14 kmphtrue
- 26 kmphfalse
- 33 kmphfalse
- 42 kmphfalse
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Answer : 1. "4 kmph"
Explanation :
Answer: A) 4 kmph Explanation: Let the speed of current = 'C' km/hr Given the speed of boat in still water = 6 kmph Let 'd' kms be the distance it covers. According to the given data, Boat takes thrice as much time in going the same distance against the current than going with the current i.e, d8 - C = 3 × d8 + C ⇒ 24 - 3C = 8 + C⇒ 4C = 16⇒ C = 4 kmph Hence, the speed of the current C = 4 kmph.
Q: Which fraction comes next in the sequence 23, 13, 527, 781, ? 2326 05b5cc758e4d2b4197774fbda
5b5cc758e4d2b4197774fbda- 11/27true
- 211/278false
- 39/48false
- 47/123false
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Answer : 1. "1/27"
Explanation :
Answer: A) 1/27 Explanation: Clearly, the numerators of the fractions in the given sequence follow the series of 2, 3, 5, 7,... and the denominator follows 3, 9, 27, 81, 243, ...Then, the next term in the given sequence is 935 = 9243 = 127 .
Q: Which expression is equivalent to i233? 2324 05b5cc645e4d2b4197774bbd1
5b5cc645e4d2b4197774bbd1- 1itrue
- 21false
- 3-ifalse
- 4-1false
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Answer : 1. "i"
Explanation :
Answer: A) i Explanation: We know that, i2 = -1i3 = i2 x i = -1 x i = -ii4 = i2 x i2 = -1 x -1 = 1Hence, i233 =i4 x 58 + 1 = i232 x i1 = 1 x i = i
Q: Points that lie on the same line are called 2324 05b5cc690e4d2b4197774c445
5b5cc690e4d2b4197774c445- 1Congruentfalse
- 2Coplanar pointsfalse
- 3Collinear pointstrue
- 4Nonefalse
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Answer : 3. "Collinear points"
Explanation :
Answer: C) Collinear points Explanation: Points that lie on the same line are called Collinear points. And that points lie on the same plane are called Coplanar points.
Q: A Conical tent was erected by the army at a base camp with height 3 m and base diameter 10 m. If every person requires 3.92 cu.m air, then how many persons can be seated in that tent approximately? 2324 05b5cc6bfe4d2b4197774da97
5b5cc6bfe4d2b4197774da97- 120true
- 219false
- 317false
- 422false
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Answer : 1. "20"
Explanation :
Answer: A) 20 Explanation: Given height of the conical tent = 3 m Diameter = 10 => Radius = D/2 = 10/2 = 5 m Now, as the tent is in the conical form Volume of the conical tent = πr2h3 => (22 x 5 x 5 x 3) / (7 x 3) = 22 x 25/7 = 78.54 cu.m Given each person requires 3.92 cu.m of air => Number of persons can be seated in the tent = 78.54/3.92 = 20.03 =~ 20
Q: Only if Sheela is happy, then she does not go to work. 2323 05b5cc761e4d2b4197774fd20
5b5cc761e4d2b4197774fd20- 1Sheela is not happy and she goes to work.true
- 2Sheela is happy and she does not go to workfalse
- 3Sheela is not happy and she does not go to work.false
- 4Sheela is happy and she goes to work.false
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Answer : 1. "Sheela is not happy and she goes to work."
Explanation :
Answer: A) Sheela is not happy and she goes to work. Explanation: The event of "Sheela is not going to work" happens only when the event "Sheela is happy" happens. Also, if the event "Sheela is happy" does not happen, then the event "Sheela is not going to work" will not happen. In other words, if it is true that Sheela is not happy, then it means that Sheela is going to work.
Q: The clipboard 2323 15b5cc672e4d2b4197774c0aa
5b5cc672e4d2b4197774c0aa- 1is a Cache memoryfalse
- 2is a feature that stores user informationfalse
- 3is used to temporarily store, items that has been cut or copiedtrue
- 4is a feature that saves file temporarilyfalse
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Answer : 3. "is used to temporarily store, items that has been cut or copied"
Explanation :
Answer: C) is used to temporarily store, items that has been cut or copied Explanation: A clipboard is a temporary storage area for items that the user wants to cut or copy from one place to another. For example, in a word processor application, the user might want to cut text from one part of a document and paste it in another part of the document or somewhere else, it is temporarily stored in clipboard.

