GATE Practice Question and Answer

Q: If 6 men and 3 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time  ? 2254 0

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

Answer: A) 1 : 2 Explanation: 6M + 3B = 4(1M + 1B)6M + 3B = 4M + 4B2M = 1B M/B = 1/2

Q: From a group of 7 boys and 6 girls, five persons are to be selected to form a team, so that at least 3 girls are there in the team. In how many ways can it be done? 2254 0

  • 1
    427
    Correct
    Wrong
  • 2
    531
    Correct
    Wrong
  • 3
    651
    Correct
    Wrong
  • 4
    714
    Correct
    Wrong
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Answer : 2. "531"
Explanation :

Answer: B) 531 Explanation: Given in the question that, there are 7 boys and 6 girls.  Team members = 5 Now, required number of ways in which a team of 5 having atleast 3 girls in the team =  6C3  x 7C2  + 6C4 x 7C1 + 6C5= 6x5x43x2x1 x 7x62x1 + 6x5x4x34x3x2x1 x 7 + 6x5x4x3x25x4x3x2x1= 420 + 105 + 6= 531.

Q: The calendar for the year 2007 will be the same for the year ? 2253 0

  • 1
    2014
    Correct
    Wrong
  • 2
    2019
    Correct
    Wrong
  • 3
    2021
    Correct
    Wrong
  • 4
    2018
    Correct
    Wrong
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Answer : 4. "2018"
Explanation :

Answer: D) 2018 Explanation: Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day. Year : 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017Odd day : 1 2 1 1 1 2 1 1 1 2 1 Sum = 14 odd days => 0 odd days.Calendar for the year 2018 will be the same as for the year 2007.

Q: The average of the ages of Sushanth, Krish and Rishi is 43 years and the average of the ages of Sushanth, Rishi and Rohit is 49 years. If Rohit is 54 years old, what is Krish's age ? 2253 0

  • 1
    34 years
    Correct
    Wrong
  • 2
    26 years
    Correct
    Wrong
  • 3
    24 years
    Correct
    Wrong
  • 4
    36 years
    Correct
    Wrong
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Answer : 4. "36 years"
Explanation :

Answer: D) 36 years Explanation: Let present ages of Sushanth = w, Krish = x, Rishi = y and Rohit = z , thenw + x + y = 43 x 3 = 129 ---(i) andw + y + z = 49 x 3 = 147 ---(ii)Subtracting (i) from (ii), (w+y+z) - (w+x+y) = 147 - 129 , z - x = 18 ---(iii)Given Rohit's age=z=54, so from (iii), x = 54 - 18 = 36.Therefore, Krish age is 36 years.

Q: India is the largest producer of 2252 0

  • 1
    Cotton
    Correct
    Wrong
  • 2
    Milk
    Correct
    Wrong
  • 3
    Mangoes
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 4. "All the above"
Explanation :

Answer: D) All the above Explanation: As per the latest updates, India is :   Largest producer of milk. Largest producer of millets in the world. Largest producer of jute. Largest producer of ginger. Largest producer of bananas. Largest producer of castor oil seeds. Largest producer of mangoes. Largest producer of safflower oil seeds. Largest producer of papayas. Largest producer of cottonseed (As per International Cotton Advisory Committee (ICAC) report for the month of March 2017)   Second largest producer of tea, the first position being held by China. Second largest producer of sugarcane, the first position being held by Brazil. Second largest producer of wheat, the first position being held by China. Second largest producer of onions, the first position being held by China. Second largest producer of potatoes, the first position being held by China. Second largest producer of garlic, the first position being held by China. Second largest producer of rice, the first position being held by China. Second largest producer of cement., next to China. Second largest producer of silk, the first position being held by China.

Q: If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is   ? 2252 0

  • 1
    Rs. 580
    Correct
    Wrong
  • 2
    Rs. 480
    Correct
    Wrong
  • 3
    Rs. 550
    Correct
    Wrong
  • 4
    Rs. 470
    Correct
    Wrong
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Answer : 2. "Rs. 480"
Explanation :

Answer: B) Rs. 480 Explanation: Let the sum be Rs. P. Then,   P1+252x1002-P= 510   P[982- 1] = 510.   Sum = Rs. 1920   So, S.I. = (1920 x 25 x 2) / (2 x 100) = Rs. 480

Q: 7 C in the R? 2252 0

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Answer :
Explanation :

The given letter equation implies that,   7 C in the R = 7 Colours in a Rainbow.

Q: In following number series only one number is wrong. Find out that wrong or odd number in the series? 6, 78, 858, 7722, 54055, 270270 2251 0

  • 1
    270270
    Correct
    Wrong
  • 2
    54055
    Correct
    Wrong
  • 3
    7722
    Correct
    Wrong
  • 4
    858
    Correct
    Wrong
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Answer : 2. "54055"
Explanation :

Answer: B) 54055 Explanation: Here the given series follows a pattern that, multiplying the number with odd numbers in decreasing order starting with 13. That is,   6 × 13 = 78   65 × 11 = 858   858 × 9 = 7722   7722 × 7 = 54054   54054 × 5 = 270270   Hence, the wrong number is 54055

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