GATE Practice Question and Answer

Q: If log72 = m, then log4928 is equal to ? 2973 0

  • 1
    1/(1+2m)
    Correct
    Wrong
  • 2
    (1+2m)/2
    Correct
    Wrong
  • 3
    2m/(2m+1)
    Correct
    Wrong
  • 4
    (2m+1)/2m
    Correct
    Wrong
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Answer : 2. "(1+2m)/2"
Explanation :

Answer: B) (1+2m)/2 Explanation: log4928 = 12log77×4   = 12+122log72= 12+log72= 12 + m= 1+2m2.

Q: How many four digit even numbers can be formed using the digits {2, 7, 5, 3, 9, 1} ? 2973 0

  • 1
    59
    Correct
    Wrong
  • 2
    60
    Correct
    Wrong
  • 3
    61
    Correct
    Wrong
  • 4
    64
    Correct
    Wrong
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Answer : 2. "60"
Explanation :

Answer: B) 60 Explanation: The given digits are 1, 2, 3, 5, 7, 9   A number is even when its units digit is even. Of the given digits, two is the only even digit.Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways.   Number of even numbers = ⁵P₃ = 60.

Q: Find the Odd One Out? 4, 6, 12, 30, 81, 315. 2971 0

  • 1
    6
    Correct
    Wrong
  • 2
    12
    Correct
    Wrong
  • 3
    81
    Correct
    Wrong
  • 4
    315
    Correct
    Wrong
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Answer : 3. "81"
Explanation :

Answer: C) 81 Explanation: Given the number series is 4, 6, 12, 30, 81, 315. Here it follows a pattern that 4 4 x 1.5 = 6 6 x 2 = 12 12 x 2.5 = 30 30 x 3 = 90 not equals to 81 90 x 3.5 = 315   Hence the odd one in the series is 81.

Q: What is the term used in tennis when the score is 40-40? 2968 0

  • 1
    Ace
    Correct
    Wrong
  • 2
    Led
    Correct
    Wrong
  • 3
    Deuce
    Correct
    Wrong
  • 4
    Tie
    Correct
    Wrong
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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: What building has the most stories? 2968 0

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Answer :
Explanation :

A Libraury. It has more number of story books in it to read.

Q: Buses start from a bus terminal with a speed of 20 km/hr at intervals of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8 minutes? 2964 0

  • 1
    5 kmph
    Correct
    Wrong
  • 2
    6 kmph
    Correct
    Wrong
  • 3
    7.5 kmph
    Correct
    Wrong
  • 4
    8 kmph
    Correct
    Wrong
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Answer : 1. "5 kmph"
Explanation :

Answer: A) 5 kmph Explanation: Let p be the speed of man in kmph According to the given data in the question, Distance travelled by bus in 10 min with 20 kmph == Distance travelled by man in 8 min with (20 + p) kmph in opposite direction => 20 x 10/60 = 8/60 (20 + p) => 200 = 160 + 8p => p = 40/8 = 5 kmph.

Q: The last two digits of 2151415? 2957 0

  • 1
    81
    Correct
    Wrong
  • 2
    61
    Correct
    Wrong
  • 3
    91
    Correct
    Wrong
  • 4
    51
    Correct
    Wrong
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Answer : 4. "51"
Explanation :

Answer: D) 51 Explanation: Unit digit of this expression is always 1 as the base ends with 1.  For the tenth place digit we need to multiply the digit in the tenth place of the base and unit digit of the power and take its unit digit. i.e, tenth place digit in 2151 is 5 and tenth place digit in power 415 is 1 And the units digit in the product of 5 x 1 = 5   Therefore, last two digits of 2151415 is 51.

Q: Processor's speed of a computer is measured in 2956 0

  • 1
    Hertz
    Correct
    Wrong
  • 2
    Baud
    Correct
    Wrong
  • 3
    MIPS
    Correct
    Wrong
  • 4
    BPS
    Correct
    Wrong
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Answer : 1. "Hertz"
Explanation :

Answer: A) Hertz Explanation: CPU speed is the central factor in a computer's performance. And this CPU speed depends on the processor in the CPU chip. In a computer, clock speed refers to the number of pulses per second generated by an oscillator that sets the tempo for the processor. Clock speed is usually measured in Hertz (Hz).   But now-a-days, a pure processor's performance is measured in MIPS (Millions of Instructions Per Second). As here in the question, how a processor's speed is measured is asked and it is Hertz.    Hence, Processor's speed of a computer is measured in Hertz(Hz) [MHz, GHz].

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