GATE Practice Question and Answer
8Q: If 78K928L is divisible by 6, then which of the following can Q and R take ? 5887 05b5cc741e4d2b4197774f995
5b5cc741e4d2b4197774f995- 1K=2 & L=3false
- 2K=1 & L=4true
- 3K=1 & L=2false
- 4K=3 & L=3false
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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: A word arrangement machine, When given an input line of words, rearranges it in every step following a certain rule. Following is an illustration of an input line of words and various steps of rearrangement. Input: gone are take enough brought stationStep 1: take gone are enough brought stationStep 2: take are gone enough brought stationStep 3: take are station gone enough broughtStep 4: take are station brought gone enoughAnd Step 4 is the last step for this input. Now, find out an appropriate step in the following question following the above rule. Question:Input: car on star quick demand fatWhat will be the third step for this input ? 5884 05b5cc774e4d2b41977750002
5b5cc774e4d2b41977750002- 1star car demand quick on fatfalse
- 2star quick car demand on fatfalse
- 3star car quick demand on fattrue
- 4none of thesefalse
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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
Q: Coding-Decoding If Pour is wrtten as 4156Sware is written as 78269Clear is written as 3@926 Then what is the code for PEARL= ? 5831 05b5cc6b3e4d2b4197774d472
5b5cc6b3e4d2b4197774d472- 1429@6false
- 24962@false
- 34692@false
- 44926@true
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Answer : 4. "4926@"
Explanation :
Answer: D) 4926@ Explanation: Pour - 4156 => P = 4, r = 6 Sware - 78269 => a = 2, e = 9 Clear - 3@926 => l = @ => Pearl = 4926@
Q: A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current ? 5818 05b5cc6ebe4d2b4197774ee46
5b5cc6ebe4d2b4197774ee46- 11/3 kmphfalse
- 22/3 kmphfalse
- 31/4 kmphfalse
- 41/2 kmphtrue
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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: 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work? 5791 05b5cc68be4d2b4197774c385
5b5cc68be4d2b4197774c385- 1215 daysfalse
- 2225 daystrue
- 3235 daysfalse
- 4240 daysfalse
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Answer : 2. "225 days"
Explanation :
Answer: B) 225 days Explanation: Given that (10M + 15W) x 6 days = 1M x 100 days => 60M + 90W = 100M => 40M = 90W => 4M = 9W. From the given data, 1M can do the work in 100 days => 4M can do the same work in 100/4= 25 days. => 9W can do the same work in 25 days. => 1W can do the same work in 25 x 9 = 225 days. Hence, 1 woman can do the same work in 225 days.
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? 5786 05b5cc75ee4d2b4197774fcbb
5b5cc75ee4d2b4197774fcbb- 115 minutesfalse
- 220 minutestrue
- 318 minutesfalse
- 422 minutesfalse
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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.
Q: If 'x' means '-', '÷' means '+', '-' means '÷' and '+' means 'x', then 24 - 4 ÷ 6 x 3 + 4 = ? 5786 05b5cc736e4d2b4197774f856
5b5cc736e4d2b4197774f856- 10true
- 21false
- 32false
- 43false
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Answer : 1. "0"
Explanation :
Answer: A) 0 Explanation: From the given information in the question24 ÷ 4 + 6 - 3 x 4 6 + 6 - 12 = 0
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? 5781 05b5cc764e4d2b4197774fde1
5b5cc764e4d2b4197774fde1- 148minfalse
- 272minfalse
- 324mintrue
- 4None of thesefalse
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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.