GATE Practice Question and Answer
8Q: 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.
Q: Rajan's present age is three times his daughter's and nine-thirteenth of his mother's present age. The sum of the present ages of all three of them is 125 years. What is the difference between the present ages of Rajan's daughter and Rajan's mather ? 2494 05b5cc72ce4d2b4197774f773
5b5cc72ce4d2b4197774f773- 132 yearsfalse
- 248 yearsfalse
- 362 yearsfalse
- 450 yearstrue
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Answer : 4. "50 years"
Explanation :
Answer: D) 50 years Explanation: Let Rajan's present age be 'x' years.=> Then his daughter's present age is = x/3 years.His mother's present age = 13x/9 yearsNow, according to the question,x + x/3 + 13x/9 = 125=> x = 125x9/25 = 45Therefore, required difference = 13x/9 - x/3 = 13x - 3x/9 = 10x/9=> 10 x 45/9 = 50 years.
Q: Sound waves cannot travel through 2492 05b5cc6a4e4d2b4197774cc95
5b5cc6a4e4d2b4197774cc95- 1Gasfalse
- 2Liquidfalse
- 3Vacuumtrue
- 4Solidfalse
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Answer : 3. "Vacuum"
Explanation :
Answer: C) Vacuum Explanation: Sound waves cannot travel through a Vacuum. A vacuum is an area without any air, like space. So sound cannot travel through space because there is no matter for the vibrations to work in.
Q: In each question given below four conclusions are followed by statements. You have to take the three given statements to be true (even if they seem to be at variance from the commonly known facts). Read the conclusions and decide which of the following set of statement indicate that conclusion is logically follows. Statements : 1. All chairs are tents. 2. No chairs is jugs. 3. No jugs is glasses. 4. No glasses is pots. Conclusions : I. All pots are tents. II. All glasses are chair. III. Some jugs are tents. 2490 05b5cc6b7e4d2b4197774d61f
5b5cc6b7e4d2b4197774d61f- 1Only conclusion I followsfalse
- 2Both conclusion II & III followsfalse
- 3None followstrue
- 4Only conclusion II followsfalse
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Answer : 3. "None follows"
Explanation :
Answer: C) None follows Explanation:
Q: What is the place value of 6 in 64? 2488 05b5cc68be4d2b4197774c36a
5b5cc68be4d2b4197774c36a- 16false
- 260true
- 364false
- 410false
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Answer : 2. "60"
Explanation :
Answer: B) 60 Explanation: We know that, ● Each digit has a fixed position called its place. ● Each digit has a value depending on its place called the place value of the digit. ● The face value of a digit for any place in the given number is the value of the digit itself ● Place value of a digit = (face value of the digit) × (value of the place). Hence, the place value of 6 in 64 = 6 x 10 = 60.
Q: In the series given below , how many 8's are there each of which is exactly divisible by its immediate preceeding as well as succeeding numbers ?2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6 2486 05b5cc758e4d2b4197774fbc4
5b5cc758e4d2b4197774fbc4- 1fivefalse
- 2fourfalse
- 3twotrue
- 4onefalse
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Answer : 3. "two"
Explanation :
Answer: C) two Explanation: Clearly, we may mark such sets of 3 numbers, in which the middle number is 8 and each of the two numbers on both sides of it is a factor of 8, as shown below : 2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6 So, there are two such 8's. Hence the answer is C.
Q: L is the daughter of K's brother's wife's father-in-law's daughter. K is L's __ 2485 05b5cc6e3e4d2b4197774eca2
5b5cc6e3e4d2b4197774eca2- 1Sonfalse
- 2Auntfalse
- 3Unclefalse
- 4Can't be determinedtrue
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Answer : 4. "Can't be determined"
Explanation :
Answer: D) Can't be determined Explanation: K's brother's wife's father-in-law is K's brother's father i.e. K's father. K's father's daughter is K's Sister.L is daughter of K's sister => K is L's Uncle or Aunt.
Q: How much does a clock lose per day, if its hands coincide ever 65 minutes ? 2485 05b5cc6f8e4d2b4197774f077
5b5cc6f8e4d2b4197774f077- 11440/143 minfalse
- 2184/13 minfalse
- 31425/18 mintrue
- 4541/9 minfalse
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Answer : 3. "1425/18 min"
Explanation :
Answer: C) 1425/18 min Explanation: 55 min. spaces are covered in 60 min.60 min. spaces are covered in ((60/55) x 60) min = 720/11 min.Loss in 65 min. = (720/11 - 65 ) = 5/11Loss in 24 hrs = (5/11 x 1/65 x 24 x 60)min = 1440/143 min.