GATE Practice Question and Answer

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Answer : 3. "star car quick demand on fat"
Explanation :

Answer: C) star car quick demand on fat Explanation: Obsrving the given arrangement, we find the following pattern:If we arrange the words in the given input in the alphabetical order and then label them as 1,2,3,4,5,6, then the last step contains the words in the order 6,1,5,2,4,3. However, the position of only one word is alteredat each step.Input:car on star quick demand fatStep1: star car on quick demand fatStep2: star car quick on demand fatStep3: star car quick demand on fat Hence, the answer is C

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Answer : 3. "528"
Explanation :

Answer: C) 528 Explanation: Assume x soldiers join the fort. 1200 soldiers have provision for 1200 (days for which provisions last them)(rate of consumption of each soldier)= (1200)(30)(3) kg. Also provisions available for (1200 + x) soldiers is (1200 + x)(25)(2.5) k As the same provisions are available=> (1200)(30)(3) = (1200 + x)(25)(2.5) x = ([(1200)(30)(3)] / (25)(2.5)) - 1200 => x = 528.

Q: If 78K928L is divisible by 6, then which of the following can Q and R take ? 6055 0

  • 1
    K=2 & L=3
    Correct
    Wrong
  • 2
    K=1 & L=4
    Correct
    Wrong
  • 3
    K=1 & L=2
    Correct
    Wrong
  • 4
    K=3 & L=3
    Correct
    Wrong
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Answer : 2. "K=1 & L=4"
Explanation :

Answer: B) K=1 & L=4 Explanation: As per divisibility rule a number is divisible by 6 means it should be divisible by 2 and 3 case 1 : the divisibility rule for 2 is the number should be end with even number in this case R =2 & R=4 case 2 : The divisibility rule for 3 is the sum of numbers should be divisible by 3so if we take option (2) Q=1 & R=4 the sum is 39 if we take option (3) Q=1 & R=2 the sum is 37 So Option (2) is correct 39 is divided by 3

Q: The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of ? 6044 0

  • 1
    4:5
    Correct
    Wrong
  • 2
    6:5
    Correct
    Wrong
  • 3
    3:2
    Correct
    Wrong
  • 4
    1:3
    Correct
    Wrong
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Answer : 2. "6:5"
Explanation :

Answer: B) 6:5 Explanation:     4:5    3:2   -------=> 12:15:10  12:10 => 6:5

Q: Taps X and Y can fill a tank in 30 and 40 minutes respectively.Tap Z can empty the filled tank in 60 minutes.If all the three taps are kept open for one minute each,how much time will the taps take to fill the tank? 6032 0

  • 1
    48min
    Correct
    Wrong
  • 2
    72min
    Correct
    Wrong
  • 3
    24min
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 3. "24min"
Explanation :

Answer: C) 24min Explanation: Given taps X and Y can fill the tank in 30 and 40 minutes respectively. Therefore,   part filled by tap X in 1 minute = 1/30   part filled by tap Y in 1 minute = 1/40   Tap Z can empty the tank in 60 minutes. Therefore,   part emptied by tap Z in 1 minute = 1/60   Net part filled by Pipes X,Y,Z together in 1 minute = [1/30 +1/40 - 1/60] = 5/120 = 1/24   i.e., the tank can be filled in 24 minutes.

Q: A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current ? 5979 0

  • 1
    1/3 kmph
    Correct
    Wrong
  • 2
    2/3 kmph
    Correct
    Wrong
  • 3
    1/4 kmph
    Correct
    Wrong
  • 4
    1/2 kmph
    Correct
    Wrong
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Answer : 4. "1/2 kmph"
Explanation :

Answer: D) 1/2 kmph Explanation: Speed in upstream = Distance / Time = 3 x 60/20 = 9 km/hr. Speed in downstream = 3 x 60/18 = 10 km/hr Rate of current = (10-9)/2 = 1/2 km/hr.

Q: 3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days  ? 5975 0

  • 1
    6
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    7
    Correct
    Wrong
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Answer : 4. "7"
Explanation :

Answer: D) 7 Explanation: Let 1 woman's 1 day work = x. Then, 1 man's 1 day work = x/2 and 1 child's 1 day work  x/4. So, (3x/2 + 4x + + 6x/4) = 1/7 28x/4 = 1/7 => x = 1/49 1 woman alone can complete the work in 49 days. So, to complete the work in 7 days, number of women required = 49/7 = 7.

Q: Without any stoppage, a person travels a certain distance at an average speed of 42 km/h, and with stoppages he covers the same distance at an average speed of 28 km/h. How many minutes per hour does he stop? 5945 0

  • 1
    15 minutes
    Correct
    Wrong
  • 2
    20 minutes
    Correct
    Wrong
  • 3
    18 minutes
    Correct
    Wrong
  • 4
    22 minutes
    Correct
    Wrong
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Answer : 2. "20 minutes"
Explanation :

Answer: B) 20 minutes Explanation: Let the total distance to be covered is 84 kms.Time taken to cover the distance without stoppage = 84/42 hrs = 2 hrsTime taken to cover the distance with stoppage = 84/28 = 3 hrs.Thus, he takes 60 minutes to cover the same distance with stoppage.Therefore, in 1 hour he stops for 20 minutes.

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