GATE Practice Question and Answer

Q: In how many different ways can the letters of the word 'POVERTY' be arranged ? 1489 0

  • 1
    2520
    Correct
    Wrong
  • 2
    5040
    Correct
    Wrong
  • 3
    1260
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 2. "5040"
Explanation :

Answer: B) 5040 Explanation: The 7 letters word 'POVERTY' be arranged in 7P7 ways = 7! = 5040 ways.

Q: What is x squared plus x squared? 1488 0

  • 1
    4x
    Correct
    Wrong
  • 2
    2x^2
    Correct
    Wrong
  • 3
    x^4
    Correct
    Wrong
  • 4
    2x
    Correct
    Wrong
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Answer : 2. "2x^2"
Explanation :

Answer: B) 2x^2 Explanation: In an algebraic expression, like terms are terms that contain the same variables raised to the same powers. Calculating x-squared plus x-squared is a matter of combining like terms.  Now x^2 + x^2 = 2x^2   Hence, x-squared plus x-squared is equal to 2 times x squared.

Q: The average age of a class is 15.8 years. The average age of the boys in the class is 16.4 years and that of the girls is 15.4 years. What is the ratio of boys to girls in the class ? 1487 0

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

Answer: B) 2:3 Explanation: Let number of boys = x  , Let number of girls = yTotal numbers of students = x + y(x + y) × 15.8 = 16.4x + 15.4y 0.6x = 0.4yx/y = 0.4/0.6 = 2/3    Ratio of boys and girls in the class is 2:3

Q: Who is the 45th President of United States ? 1487 0

  • 1
    Hillary Clinton
    Correct
    Wrong
  • 2
    Barack Obama
    Correct
    Wrong
  • 3
    George W. Bush
    Correct
    Wrong
  • 4
    Donald Trump
    Correct
    Wrong
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Answer : 4. "Donald Trump"
Explanation :

Answer: D) Donald Trump Explanation: Donald John Trump (born June 14, 1946) is an American businessman, television personality, politician, and the 45th President of the United States.

Q: The difference between two numbers is 3355. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number and larger number respectively ? 1486 0

  • 1
    546, 3901
    Correct
    Wrong
  • 2
    415, 3770
    Correct
    Wrong
  • 3
    668, 4023
    Correct
    Wrong
  • 4
    404, 3759
    Correct
    Wrong
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Answer : 3. "668, 4023"
Explanation :

Answer: C) 668, 4023 Explanation: Let the smaller number be k.Then, larger number = (3355 + k)Therefore 3355 + k = (6k + 15)‹=› 5k = 3340‹=› k = 668. Therefore, the smaller number k = 668 and now the larger number = 3355+668 = 4023.

Q: What will be the ratio of simple interest earned by certain amount at the same rate of interestfor 4 years and 6 years ? 1485 0

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

Answer: C) 2:3 Explanation: Let p be the principle amount And R% be the rate of interest Then, required ratio =P×4×R100P×6×R100    ⇒4PR6PR= 2:3

Q: At present, the ratio between the ages of Arun and Harish is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Harish at present ? 1485 0

  • 1
    15 years
    Correct
    Wrong
  • 2
    16 years
    Correct
    Wrong
  • 3
    18 years
    Correct
    Wrong
  • 4
    21 years
    Correct
    Wrong
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Answer : 1. "15 years"
Explanation :

Answer: A) 15 years Explanation: Let the present ages of Arun and Harish be 4x and 3x years respectively. Then, 4x + 6 = 26 => x = 5 Harish's age = 3x = 15 years.

Q: A can do a piece of work in 15 days and B can do it in 16 days and C can do it 24 days. They started the work together and A leaves after 3 days and B leaves after 4 days from the beginning. How long will work lost ? 1484 0

  • 1
    10 2/3 days
    Correct
    Wrong
  • 2
    13 1/5 days
    Correct
    Wrong
  • 3
    12 2/3 days
    Correct
    Wrong
  • 4
    11 5/7 days
    Correct
    Wrong
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Answer : 2. "13 1/5 days"
Explanation :

Answer: B) 13 1/5 days Explanation: 3/15 + 4/16 + x/24 = 1 ⇒x=1315

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