GATE Practice Question and Answer
8Q: Find the missing number in the given number series? 514, 470, ?, 415, 404 2652 05b5cc6a9e4d2b4197774cf19
5b5cc6a9e4d2b4197774cf19- 1441false
- 2437true
- 3426false
- 4420false
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Answer : 2. "437"
Explanation :
Answer: B) 437 Explanation: Given number series is 514 470 ? 415 404 Here the pattern it follows is 514 514 - 44 = 470 470 - 33 = 437 437 - 22 = 415 415 - 11 = 404 Hence, the missing number in the given number series is 437.
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? 2650 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: How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even ? 2647 05b5cc731e4d2b4197774f7bf
5b5cc731e4d2b4197774f7bf- 1521false
- 2720true
- 3420false
- 4225false
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Answer : 2. "720"
Explanation :
Answer: B) 720 Explanation: Let last digit is 2when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways.so for last digit = 2, total numbers=240 Similarly for 4 and 6When last digit = 4, total no. of ways =240and last digit = 6, total no. of ways =240so total of 720 even numbers are possible.
Q: One paper is equally folded 35 times, then what is the new thickness of the paper ? 2644 05b5cc74ae4d2b4197774fa8b
5b5cc74ae4d2b4197774fa8b- 1T(2^50)true
- 250Tfalse
- 32 x 50 Tfalse
- 4T/50false
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Answer : 1. "T(2^50)"
Explanation :
Answer: A) T(2^50) Explanation: Let initial thickness of the paper be 'T'after first fold it will be '2T' = 21Tafter second fold it will be '4T' = 22T after 50th fold it will be T x (250T)
Q: Crack the Logical Password of the Mobile ? 2644 05b5cc6bfe4d2b4197774da19
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Answer :
Explanation :
65292 1st digit is 3 x 2 = 6 3rd digit is 5-3 = 2 4th digit is 5+4 = 9 6+5 = 2+9 = 9+2 = 11
Q: Sushma joins a job at 20 yrs. First 3 years salary is 10,000 p.a. Afterwards every year increment of 2,000 per year for 10 years. Then salary becomes constant till retirement. At retirement average salary is 25,000. (throughout career). At what age Sushma retires ? 2644 05b5cc711e4d2b4197774f3be
5b5cc711e4d2b4197774f3be- 150 yrstrue
- 247 yrsfalse
- 345 yrsfalse
- 442 yrsfalse
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Answer : 1. "50 yrs"
Explanation :
Answer: A) 50 yrs Explanation: Let age of retirement = Sso according to the given condition 25000(x-20)=10000 x 3 + 12000 + 14000 + 16000 + 18000 + 20000 + 22000 + 24000 + 26000 + 28000 + 30000 + 30000(S-33)= 30000 + 210000 + 30000S-990000= 30000S - 750000or 25000S - 500000 = 30000x - 750000or 5000x = 250000or S = 50 yrs.
Q: Directions: Four friends Raghu, Rajesh, Ramesh and Ravi complete their Graduation in different number of years. The one who took maximum time took eight years to complete his Graduation while the one who took least time took only three years to complete it.Ravi took more time only than Raghu and completed his Graduation in five years. Ramesh did not take longer timethan Rajesh to complete his Graduation. Question: Who took more years to complete his graduation among all ? 2643 05b5cc76de4d2b4197774feae
5b5cc76de4d2b4197774feae- 1Rameshfalse
- 2Raghufalse
- 3Rajeshtrue
- 4Ravifalse
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Answer : 3. "Rajesh"
Explanation :
Answer: C) Rajesh Explanation: Rajesh - 8 years Ramesh - 6 or 7 years Ravi - 5 years Raghu - 3 years
Q: What rights does the Declaration of Independence express? 2642 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.