GATE Practice Question and Answer

Q: Multiplicative inverse of 7? 966 0

  • 1
    1
    Correct
    Wrong
  • 2
    -1/7
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    1/7
    Correct
    Wrong
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Answer : 4. "1/7"
Explanation :

Answer: D) 1/7 Explanation: Multiplicative inverse is nothing but a reciprocal of a number.  It is defined as one of a pair of numbers that when multiplied with another number equals the number 1. Multiplicative inverse or reciprocal of 7 is  7 x n = 1 => n = 1/7.   Hence, Multiplicative inverse or reciprocal of 7 is  1/7.

Q: Find the Missing Numbers in the given Number Puzzle ? 966 0

  • 1
    169 & 81
    Correct
    Wrong
  • 2
    67 & 121
    Correct
    Wrong
  • 3
    64 & 115
    Correct
    Wrong
  • 4
    70 & 110
    Correct
    Wrong
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Answer : 1. "169 & 81"
Explanation :

Answer: A) 169 & 81 Explanation: Observe that in each column, square of sum of digits in the first row = Respective second row elements.   In the same way, square of sum of digits in the second row = Respective third row elements.   => 6+42=102=100   => 4+92=132=169   => 8+12=92=81.

Q: A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work  ? 966 0

  • 1
    8.7 hrs
    Correct
    Wrong
  • 2
    5.2 hrs
    Correct
    Wrong
  • 3
    5 hrs
    Correct
    Wrong
  • 4
    7.5 hrs
    Correct
    Wrong
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Answer : 4. "7.5 hrs"
Explanation :

Answer: D) 7.5 hrs Explanation: Ratio of times taken by A and B = 160 : 100A can do the work in 12 daysLet B can do the work in "D" days=> 160:100 = 12 : D=> D = 12 x 100/160 = 7.5 hrs

Q: The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube  ? 966 0

  • 1
    15 m
    Correct
    Wrong
  • 2
    4 m
    Correct
    Wrong
  • 3
    6 m
    Correct
    Wrong
  • 4
    9 m
    Correct
    Wrong
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Answer : 3. "6 m"
Explanation :

Answer: C) 6 m Explanation: The edge of the new cube is = 33+43+53 = a3 => a = 6 m.

Q: 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it ? 965 0

  • 1
    40 days
    Correct
    Wrong
  • 2
    36 days
    Correct
    Wrong
  • 3
    32 days
    Correct
    Wrong
  • 4
    34 days
    Correct
    Wrong
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Answer : 1. "40 days"
Explanation :

Answer: A) 40 days Explanation: Let 1 man's 1 day work = x and 1 woman's 1 day work = y.Then, 4x + 6y = 1/8 and 3x + 7y = 1/10Solving these two equations, we get:x = 11/400 and y = 1/40010 woman's 1 day work = (1/400 x 10) = 1/40. Hence, 10 women will complete the work in 40 days.

Q: A town having teenagers(boys & girls) of 5000 requires 150 litre of water per head. It has a tank measuring 20 m × 15 m × 5 m. The water of this tank will sufficient for ____ days. 964 0

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

Answer: D) 2 Explanation: Total Water reqduired = 5000 × 150 lit = 750,000 litres = 750 cu.m.   Volume of tank = 20 × 15 × 5 = 1500 Cu.m.   Number of days required =1500/750 = 2 days.

Q: Brightness of bulb depends on voltage or current? 963 0

  • 1
    Current
    Correct
    Wrong
  • 2
    Voltage
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "Both A & B"
Explanation :

Answer: C) Both A & B Explanation: Brightness of bulb depends on both voltage and current. The brightness depends on power. Since we know that  Power (P) = Voltage x Current = V I So whether you increase the current or the voltage the brightness will increase.   Example Illustration:  If you connect a long bulb and a round bulb in series, the long bulb glows but the round bulb does not. Both of them have the same current flowing through them (they are in series) but the long bulb has a greater voltage across it because it has more resistance (even though V= IR is not obeyed exactly, voltage drop does depend on the resistance). If you connect a round bulb and a long bulb in parallel, however, it is the round bulb that is brighter because now the voltage across both bulbs is the same but the current is larger through the round bulb (smaller resistance).   Hence, the brightness of a bulb depends on power i.e, both voltage and current.

Q: A man can row 8 kmh in still water. If the river is running at 2 kmh, it takes 4 hrs more upstream than to go downstream for the same distance. Then the distance is given by 962 0

  • 1
    54 kms
    Correct
    Wrong
  • 2
    32 kms
    Correct
    Wrong
  • 3
    45 kms
    Correct
    Wrong
  • 4
    60 kms
    Correct
    Wrong
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Answer : 4. "60 kms"
Explanation :

Answer: D) 60 kms Explanation: Let the distance be d.  d8-2-d8+2 = 4   => 2d = 120    => d = 60 kms.

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