GATE Practice Question and Answer

Q: Mr. Shankar spends 25% of his monthly salary on household expenditure, 20% of the remaining on children’s education, and the remaining is equally invested in three different schemes. If the amount invested in each scheme is Rs.5600, what is the monthly salary of Shankar ? 760 0

  • 1
    Rs. 34000
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    Incorrect
  • 2
    Rs. 31245
    Correct
    Incorrect
  • 3
    Rs. 24315
    Correct
    Incorrect
  • 4
    Rs. 28000
    Correct
    Incorrect
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Answer : 4. "Rs. 28000"
Explanation :

Answer: D) Rs. 28000 Explanation: Let the monthly salary of Shankar be = Rs.xAmount invested on expenditure = 25% = x/4;Remaning amount = 3x/4;Amount invested on children education = 20% i.e = 3x/20;Remaining amount = 3x/4 - 3x/20 = 3x/5;Remaining amount invested in three different schemes i.e is 1/3(3x/5) => x/5 = 5600Therefore x = 28000Hence, Monthly salary of Shankar is Rs. 28,000.

Q: What was the day of the week on 17th June, 1998 ? 2227 6

  • 1
    Monday
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  • 2
    Tuesday
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  • 3
    Wednesday
    Correct
    Incorrect
  • 4
    Friday
    Correct
    Incorrect
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Answer : 3. "Wednesday"
Explanation :

Answer: C) Wednesday Explanation: 17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)Odd days in 1600 years = 0Odd days in 300 years = 197 years has 24 leap years + 73 ordinary years.Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.Jan. Feb. March. April. May. June.(31 + 28 + 31 + 30 + 31 + 17) = 168 days168 days = 24 weeks = 0 odd day.Total number of odd days = (0 + 1 + 2 + 0) = 3.Given day is Wednesday.

Q: If the third day of a month is Tuesday, which of the following would be the 4th day before the 27th day of that month? 654 1

  • 1
    Tuesday
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  • 2
    Monday
    Correct
    Incorrect
  • 3
    Wednesday
    Correct
    Incorrect
  • 4
    Sunday
    Correct
    Incorrect
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Answer : 2. "Monday"
Explanation :

Answer: B) Monday Explanation: Dates on which Tuesday fall are 3,10,17, and 24   Hence, the 27th day of the month will be (Tuesday + 3 days=)Friday   Required day of the month = Friday - 4 = Monday

Q: What should come next in the following number series? 9 8 7 6 5 4 3 2 1 8 7 6 5 4 3 2 1 7 6 5 4 3 2 1 551 0

  • 1
    9
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  • 2
    8
    Correct
    Incorrect
  • 3
    7
    Correct
    Incorrect
  • 4
    6
    Correct
    Incorrect
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Answer : 4. "6"
Explanation :

Answer: D) 6 Explanation: Here the series is:   987654321, 87654321, 7654321, 65...

Q: The purest form of iron is 288 0

  • 1
    wrought iron
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  • 2
    steel
    Correct
    Incorrect
  • 3
    pig iron
    Correct
    Incorrect
  • 4
    nickel steel
    Correct
    Incorrect
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Answer : 1. "wrought iron"
Explanation :

Answer: A) wrought iron Explanation: Wrought Iron is the purest form of iron. It contains 0.12 to 0.25% carbon and so it is the purest form of iron.

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Answer : 3. "118.08L"
Explanation :

Answer: C) 118.08L Explanation: The amount of petrol left after 4 operations   = 200 × 1-402004   = 200 × 454   = 200 × 256625   = 81.92 litres   Hence the amount of kerosene = 200 - 81.92 = 118. 08 litres

Q: From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was: 3686 1

  • 1
    75 litres
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  • 2
    100 litres
    Correct
    Incorrect
  • 3
    150 litres
    Correct
    Incorrect
  • 4
    120 litres
    Correct
    Incorrect
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Answer : 4. "120 litres"
Explanation :

Answer: D) 120 litres Explanation: wine(left)wine(added) = 343169   It means  wine(left)wine(initial amount) = 343512    (since 343 + 169 = 512)    Thus,  343x = 512x1 - 15k3    343512 = 783 = 1 - 15k3    1-15k=78=1-18    Thus the initial amount of wine was 120 liters.

Q: 5 men and 4 women are to be seated in a row so that the women occupy the even places . How many such arrangements are possible? 625 1

  • 1
    2880
    Correct
    Incorrect
  • 2
    1440
    Correct
    Incorrect
  • 3
    720
    Correct
    Incorrect
  • 4
    2020
    Correct
    Incorrect
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Answer : 1. "2880"
Explanation :

Answer: A) 2880 Explanation: There are total 9 places out of which 4 are even and rest 5 places are odd.   4 women can be arranged at 4 even places in 4! ways.   and 5 men can be placed in remaining 5 places in 5! ways.   Hence, the required number of permutations  = 4! x 5! = 24 x 120 = 2880

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