GATE Practice Question and Answer

Q: Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh? 1960 0

  • 1
    Rs. 5000
    Correct
    Wrong
  • 2
    Rs. 6200
    Correct
    Wrong
  • 3
    Rs. 8100
    Correct
    Wrong
  • 4
    R. 7600
    Correct
    Wrong
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Answer : 1. "Rs. 5000"
Explanation :

Answer: A) Rs. 5000 Explanation: Let the amount invested by saketh = RS. p Now, that of sandeep = 20,000 x 6 saketh = 12 x p Ratio of their earnings = 120000 : 12p = 6000 : (9000 - 6000) => 12000012p = 60003000 => p= Rs. 5000 Hence, the amount investe by saketh  = Rs. p  = Rs. 5000.

Q: A person travels from K to L a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ? 1960 0

  • 1
    55 kmph
    Correct
    Wrong
  • 2
    58 kmph
    Correct
    Wrong
  • 3
    60 kmph
    Correct
    Wrong
  • 4
    66 kmph
    Correct
    Wrong
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Answer : 3. "60 kmph"
Explanation :

Answer: C) 60 kmph Explanation: Speed on return trip = 150% of 50 = 75 km/hr. Average speed = (2 x 50 x 75)/(50 + 75) = 60 km/hr.

Q: I am an English word with five letters. If you remove my last four I am still pronounced the same. What am I? 1960 0

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Answer :
Explanation :

An English word with five letters in which if you remove the last four letters, still pronounced the same is QUEUE.

Q: 70000 a year is how much an hour? 1959 0

  • 1
    80
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    0.8
    Correct
    Wrong
  • 4
    0.08
    Correct
    Wrong
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Answer : 2. "8"
Explanation :

Answer: B) 8 Explanation: Given for year = 70000 => 365 days = 70000 => 365 x 24 hours = 70000 =>   1 hour = ? 70000/365x24 = 7.990 = 8

Q: Which digits will come in the place of '?' in the following series ? 372, 823, 644, 582, 46?, 8?7 1958 0

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

Answer: B) 6, 2 Explanation: Given series is 372, 823, 644, 582, 46?, 8?7 Here the series follow the rule that :372 = 3+7+2 = 12823 = 8+2+3 = 13644 = 6+4+4 = 14582 = 5+8+2 = 1546? = 4+6+? = 16 => ? = 68?7 = 8+?+7 = 17 => ? = 2 So the missing numbers are 6 and 2

Q: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is ? 1958 0

  • 1
    11
    Correct
    Wrong
  • 2
    7
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    13
    Correct
    Wrong
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Answer : 3. "9"
Explanation :

Answer: C) 9 Explanation: Here the number of cogs is inveresly proportional to number of revolutions => More cogs less revolution=> 6 : 14 :: x : 21=> (21x6)/14 = 9

Q: On a school’s Annual day sweets were to be equally distributed amongst 112 children. But on that particular day, 32 children were absent. Thus the remaining children got 6 extra sweets. How many sweets was each child originally supposed to get ? 1957 0

  • 1
    14
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 4. "15"
Explanation :

Answer: D) 15 Explanation: Let 'K' be the total number of sweets.Given total number of students = 112If sweets are distributed among 112 children,Let number of sweets each student gets = 'L' => K/112 = L ....(1)But on that day students absent = 32 => remaining = 112 - 32 = 80Then, each student gets '6' sweets extra. => K/80 = L + 6 ....(2)from (1) K = 112L substitute in (2), we get112L = 80L + 48032L = 480L = 15 Therefore, 15 sweets were each student originally supposed to get.

Q: 1001 A N means 1957 0

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Answer :
Explanation :

1001 A N means 1001 Arabian Nights.   These are same as 12 S of the Z, 64 S on a C, 19 C in CB, 8 S on SS, ...

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