GATE Practice Question and Answer

Q: If two is subtracted from each odd digit and three is added to each even digit in the number 94257636, how many digits will appear twice in the new number thus formed ? 2544 0

  • 1
    0
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 4. "3"
Explanation :

Answer: D) 3 Explanation: Here 5, 7 & 9 are repeating after modulation.

Q: Karthik read 613 th of a book in 1st week and 59 th of the remaining book in 2nd week. If there were 100 pages unread after 2nd week, how many pages were there in the book ? 2542 0

  • 1
    404
    Correct
    Wrong
  • 2
    415
    Correct
    Wrong
  • 3
    418
    Correct
    Wrong
  • 4
    420
    Correct
    Wrong
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Answer : 3. "418"
Explanation :

Answer: C) 418 Explanation: Let the total book be 1 Then, in the 1st week 613th of book is read i.e remaining pages =  1-613=713 in 2nd week he read 59th of it i.e 59×713=35117Remaining pages after 2nd week = 713-35117=28117 But given remaining pages after 2nd week = 100   28x117=100 --> x = 418   The total pages in the book are 418

Q: Statements :-    All kids are God.   No God is a Human.   Some Human are Son.   All Son are Men.   Conclusions :-    (a) Some Son are not God.   (b) Some Men are Human. 2535 0

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    Only A follows
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    Only B follows
    Correct
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    Both (A) and (B) follows
    Correct
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  • 4
    A) and (B) follows D)
    Correct
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Answer : 3. "Both (A) and (B) follows"
Explanation :

Answer: C) Both (A) and (B) follows Explanation:

Q: Which of the following is the strongest base? 2534 0

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    LiCH3
    Correct
    Wrong
  • 2
    LiF
    Correct
    Wrong
  • 3
    LiOH
    Correct
    Wrong
  • 4
    LiNH2
    Correct
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Answer : 1. "LiCH3"
Explanation :

Answer: A) LiCH3 Explanation: The stability of the ions is determined by the energy of the lone pairs. Carbon has the least effective nuclear charge (Zeff) and so the lone pair on the CH3− ion has the highest energy, making it the least stable ion and so the strongest base. The Zeff increases as we move across the period until we get to fluorine which has the greatest Zeff and so its lone pairs have the lowest energy, making F− the least basic ion.   In order of decreasing basicity they are ranked LiCH3 > LiNH2 > LiOH > LiF. We are dealing with the ions F−, OH−, NH2− and CH3− and so the factor which influences their basicity is the stability of the ion compared to its conjugate acid.

Q: A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook ? 2531 0

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    15
    Correct
    Wrong
  • 2
    20
    Correct
    Wrong
  • 3
    10
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 3. "10"
Explanation :

Answer: C) 10 Explanation: Let the price of each note book be Rs.x. Let the number of note books which can be brought for Rs.300 each at a price of Rs.x be y. Hence xy = 300 => y = 300/x (x + 5)(y - 10) = 300 => xy + 5y - 10x - 50 = xy =>5(300/x) - 10x - 50 = 0 => -150+x2+5x multiplying both sides by -1/10x => x2+15x-10x-150=0 => x(x + 15) - 10(x + 15) = 0 => x = 10 or -15 As x>0, x = 10.

Q: Which of the following is the sixth to the left of the twentieth from the left end of the below arrangement ?BM%R#J@K!DF69L4*15NEP23AYQZ#7UG 2528 0

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    L
    Correct
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  • 2
    K
    Correct
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    4
    Correct
    Wrong
  • 4
    9
    Correct
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Answer : 1. "L"
Explanation :

Answer: A) L Explanation: The twentieth element in the above arrangement is 'E'.Then, the sixth element to the left of 'E' is 'L'.

Q: What is the term used in tennis when the score is 40-40? 2527 0

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    Ace
    Correct
    Wrong
  • 2
    Led
    Correct
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  • 3
    Deuce
    Correct
    Wrong
  • 4
    Tie
    Correct
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Answer : 3. "Deuce"
Explanation :

Answer: C) Deuce Explanation: When both sides have won the same number of points then: when each side has won one, or two, points, the score is described as "15-all" and "30-all" (or "15-up" and "30-up"), respectively. However, if each player has won three points, the score is called as "deuce", not "40–all". From that point on in the game, whenever the score is tied, it is described as "deuce", regardless of how many points have been played.

Q: Find the odd one out? 6, 3, 3, 4.5, 10 2526 0

  • 1
    3
    Correct
    Wrong
  • 2
    4.5
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 4. "10"
Explanation :

Answer: D) 10 Explanation: Here the given number series is 6, 3, 3, 4.5, 10 The odd one in the given series is 10 The pattern it follows is 6 6 x 0.5 = 3 3 x  1  = 3 3 x 1.5 = 4.5 4.5 x 2 = 9   Hence, the odd number is 10.

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